[8930] | 1 | MODULE zdfosm |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE zdfosm *** |
---|
| 4 | !! Ocean physics: vertical mixing coefficient compute from the OSMOSIS |
---|
| 5 | !! turbulent closure parameterization |
---|
| 6 | !!===================================================================== |
---|
| 7 | !! History : NEMO 4.0 ! A. Grant, G. Nurser |
---|
| 8 | !! 15/03/2017 Changed calculation of pycnocline thickness in unstable conditions and stable conditions AG |
---|
| 9 | !! 15/03/2017 Calculation of pycnocline gradients for stable conditions changed. Pycnocline gradients now depend on stability of the OSBL. A.G |
---|
| 10 | !! 06/06/2017 (1) Checks on sign of buoyancy jump in calculation of OSBL depth. A.G. |
---|
| 11 | !! (2) Removed variable zbrad0, zbradh and zbradav since they are not used. |
---|
| 12 | !! (3) Approximate treatment for shear turbulence. |
---|
| 13 | !! Minimum values for zustar and zustke. |
---|
| 14 | !! Add velocity scale, zvstr, that tends to zustar for large Langmuir numbers. |
---|
| 15 | !! Limit maximum value for Langmuir number. |
---|
| 16 | !! Use zvstr in definition of stability parameter zhol. |
---|
| 17 | !! (4) Modified parametrization of entrainment flux, changing original coefficient 0.0485 for Langmuir contribution to 0.135 * zla |
---|
| 18 | !! (5) For stable boundary layer add factor that depends on length of timestep to 'slow' collapse and growth. Make sure buoyancy jump not negative. |
---|
| 19 | !! (6) For unstable conditions when growth is over multiple levels, limit change to maximum of one level per cycle through loop. |
---|
| 20 | !! (7) Change lower limits for loops that calculate OSBL averages from 1 to 2. Large gradients between levels 1 and 2 can cause problems. |
---|
| 21 | !! (8) Change upper limits from ibld-1 to ibld. |
---|
| 22 | !! (9) Calculation of pycnocline thickness in unstable conditions. Check added to ensure that buoyancy jump is positive before calculating Ri. |
---|
| 23 | !! (10) Thickness of interface layer at base of the stable OSBL set by Richardson number. Gives continuity in transition from unstable OSBL. |
---|
| 24 | !! (11) Checks that buoyancy jump is poitive when calculating pycnocline profiles. |
---|
| 25 | !! (12) Replace zwstrl with zvstr in calculation of eddy viscosity. |
---|
| 26 | !! 27/09/2017 (13) Calculate Stokes drift and Stokes penetration depth from wave information |
---|
[13402] | 27 | !! (14) Buoyancy flux due to entrainment changed to include contribution from shear turbulence. |
---|
[8930] | 28 | !! 28/09/2017 (15) Calculation of Stokes drift moved into separate do-loops to allow for different options for the determining the Stokes drift to be added. |
---|
| 29 | !! (16) Calculation of Stokes drift from windspeed for PM spectrum (for testing, commented out) |
---|
| 30 | !! (17) Modification to Langmuir velocity scale to include effects due to the Stokes penetration depth (for testing, commented out) |
---|
[13402] | 31 | !! ??/??/2018 (18) Revision to code structure, selected using key_osmldpth1. Inline code moved into subroutines. Changes to physics made, |
---|
| 32 | !! (a) Pycnocline temperature and salinity profies changed for unstable layers |
---|
| 33 | !! (b) The stable OSBL depth parametrization changed. |
---|
| 34 | !! 16/05/2019 (19) Fox-Kemper parametrization of restratification through mixed layer eddies added to revised code. |
---|
| 35 | !! 23/05/19 (20) Old code where key_osmldpth1` is *not* set removed, together with the key key_osmldpth1 |
---|
[8930] | 36 | !!---------------------------------------------------------------------- |
---|
[8946] | 37 | |
---|
[8930] | 38 | !!---------------------------------------------------------------------- |
---|
[10364] | 39 | !! 'ln_zdfosm' OSMOSIS scheme |
---|
[8930] | 40 | !!---------------------------------------------------------------------- |
---|
| 41 | !! zdf_osm : update momentum and tracer Kz from osm scheme |
---|
| 42 | !! zdf_osm_init : initialization, namelist read, and parameters control |
---|
| 43 | !! osm_rst : read (or initialize) and write osmosis restart fields |
---|
| 44 | !! tra_osm : compute and add to the T & S trend the non-local flux |
---|
| 45 | !! trc_osm : compute and add to the passive tracer trend the non-local flux (TBD) |
---|
| 46 | !! dyn_osm : compute and add to u & v trensd the non-local flux |
---|
[13402] | 47 | !! |
---|
| 48 | !! Subroutines in revised code. |
---|
[8930] | 49 | !!---------------------------------------------------------------------- |
---|
[8946] | 50 | USE oce ! ocean dynamics and active tracers |
---|
[8930] | 51 | ! uses wn from previous time step (which is now wb) to calculate hbl |
---|
| 52 | USE dom_oce ! ocean space and time domain |
---|
| 53 | USE zdf_oce ! ocean vertical physics |
---|
| 54 | USE sbc_oce ! surface boundary condition: ocean |
---|
| 55 | USE sbcwave ! surface wave parameters |
---|
| 56 | USE phycst ! physical constants |
---|
| 57 | USE eosbn2 ! equation of state |
---|
| 58 | USE traqsr ! details of solar radiation absorption |
---|
| 59 | USE zdfddm ! double diffusion mixing (avs array) |
---|
[14413] | 60 | ! USE zdfmxl ! mixed layer depth |
---|
[8930] | 61 | USE iom ! I/O library |
---|
| 62 | USE lib_mpp ! MPP library |
---|
| 63 | USE trd_oce ! ocean trends definition |
---|
| 64 | USE trdtra ! tracers trends |
---|
| 65 | ! |
---|
| 66 | USE in_out_manager ! I/O manager |
---|
| 67 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
| 68 | USE prtctl ! Print control |
---|
| 69 | USE lib_fortran ! Fortran utilities (allows no signed zero when 'key_nosignedzero' defined) |
---|
| 70 | |
---|
| 71 | IMPLICIT NONE |
---|
| 72 | PRIVATE |
---|
| 73 | |
---|
| 74 | PUBLIC zdf_osm ! routine called by step.F90 |
---|
| 75 | PUBLIC zdf_osm_init ! routine called by nemogcm.F90 |
---|
| 76 | PUBLIC osm_rst ! routine called by step.F90 |
---|
| 77 | PUBLIC tra_osm ! routine called by step.F90 |
---|
| 78 | PUBLIC trc_osm ! routine called by trcstp.F90 |
---|
[13402] | 79 | PUBLIC dyn_osm ! routine called by step.F90 |
---|
[8930] | 80 | |
---|
[13402] | 81 | PUBLIC ln_osm_mle ! logical needed by tra_mle_init in tramle.F90 |
---|
| 82 | |
---|
[8930] | 83 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamu !: non-local u-momentum flux |
---|
| 84 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamv !: non-local v-momentum flux |
---|
| 85 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghamt !: non-local temperature flux (gamma/<ws>o) |
---|
| 86 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ghams !: non-local salinity flux (gamma/<ws>o) |
---|
| 87 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: etmean !: averaging operator for avt |
---|
| 88 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hbl !: boundary layer depth |
---|
[13402] | 89 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dh ! depth of pycnocline |
---|
| 90 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hml ! ML depth |
---|
[8946] | 91 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dstokes !: penetration depth of the Stokes drift. |
---|
[8930] | 92 | |
---|
[13402] | 93 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: r1_ft ! inverse of the modified Coriolis parameter at t-pts |
---|
| 94 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmle ! Depth of layer affexted by mixed layer eddies in Fox-Kemper parametrization |
---|
| 95 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdx_mle ! zonal buoyancy gradient in ML |
---|
| 96 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: dbdy_mle ! meridional buoyancy gradient in ML |
---|
| 97 | INTEGER, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: mld_prof ! level of base of MLE layer. |
---|
| 98 | |
---|
[8930] | 99 | ! !!** Namelist namzdf_osm ** |
---|
| 100 | LOGICAL :: ln_use_osm_la ! Use namelist rn_osm_la |
---|
[13402] | 101 | |
---|
| 102 | LOGICAL :: ln_osm_mle !: flag to activate the Mixed Layer Eddy (MLE) parameterisation |
---|
| 103 | |
---|
[8930] | 104 | REAL(wp) :: rn_osm_la ! Turbulent Langmuir number |
---|
| 105 | REAL(wp) :: rn_osm_dstokes ! Depth scale of Stokes drift |
---|
[13403] | 106 | REAL(wp) :: rn_zdfosm_adjust_sd = 1.0 ! factor to reduce Stokes drift by |
---|
| 107 | REAL(wp) :: rn_osm_hblfrac = 0.1! for nn_osm_wave = 3/4 specify fraction in top of hbl |
---|
| 108 | LOGICAL :: ln_zdfosm_ice_shelter ! flag to activate ice sheltering |
---|
[8930] | 109 | REAL(wp) :: rn_osm_hbl0 = 10._wp ! Initial value of hbl for 1D runs |
---|
| 110 | INTEGER :: nn_ave ! = 0/1 flag for horizontal average on avt |
---|
| 111 | INTEGER :: nn_osm_wave = 0 ! = 0/1/2 flag for getting stokes drift from La# / PM wind-waves/Inputs into sbcwave |
---|
[13403] | 112 | INTEGER :: nn_osm_SD_reduce ! = 0/1/2 flag for getting effective stokes drift from surface value |
---|
[8930] | 113 | LOGICAL :: ln_dia_osm ! Use namelist rn_osm_la |
---|
| 114 | |
---|
| 115 | LOGICAL :: ln_kpprimix = .true. ! Shear instability mixing |
---|
| 116 | REAL(wp) :: rn_riinfty = 0.7 ! local Richardson Number limit for shear instability |
---|
| 117 | REAL(wp) :: rn_difri = 0.005 ! maximum shear mixing at Rig = 0 (m2/s) |
---|
| 118 | LOGICAL :: ln_convmix = .true. ! Convective instability mixing |
---|
| 119 | REAL(wp) :: rn_difconv = 1._wp ! diffusivity when unstable below BL (m2/s) |
---|
| 120 | |
---|
[13402] | 121 | ! OSMOSIS mixed layer eddy parametrization constants |
---|
| 122 | INTEGER :: nn_osm_mle ! = 0/1 flag for horizontal average on avt |
---|
| 123 | REAL(wp) :: rn_osm_mle_ce ! MLE coefficient |
---|
| 124 | ! ! parameters used in nn_osm_mle = 0 case |
---|
| 125 | REAL(wp) :: rn_osm_mle_lf ! typical scale of mixed layer front |
---|
| 126 | REAL(wp) :: rn_osm_mle_time ! time scale for mixing momentum across the mixed layer |
---|
| 127 | ! ! parameters used in nn_osm_mle = 1 case |
---|
| 128 | REAL(wp) :: rn_osm_mle_lat ! reference latitude for a 5 km scale of ML front |
---|
[13403] | 129 | LOGICAL :: ln_osm_hmle_limit ! If true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
---|
| 130 | REAL(wp) :: rn_osm_hmle_limit ! If ln_osm_hmle_limit true arbitrarily restrict hmle to rn_osm_hmle_limit*zmld |
---|
[13402] | 131 | REAL(wp) :: rn_osm_mle_rho_c ! Density criterion for definition of MLD used by FK |
---|
| 132 | REAL(wp) :: r5_21 = 5.e0 / 21.e0 ! factor used in mle streamfunction computation |
---|
| 133 | REAL(wp) :: rb_c ! ML buoyancy criteria = g rho_c /rau0 where rho_c is defined in zdfmld |
---|
| 134 | REAL(wp) :: rc_f ! MLE coefficient (= rn_ce / (5 km * fo) ) in nn_osm_mle=1 case |
---|
| 135 | REAL(wp) :: rn_osm_mle_thresh ! Threshold buoyancy for deepening of MLE layer below OSBL base. |
---|
[14413] | 136 | REAL(wp) :: rn_osm_bl_thresh ! Threshold buoyancy for deepening of OSBL base. |
---|
[13402] | 137 | REAL(wp) :: rn_osm_mle_tau ! Adjustment timescale for MLE. |
---|
| 138 | |
---|
| 139 | |
---|
[8930] | 140 | ! !!! ** General constants ** |
---|
[13402] | 141 | REAL(wp) :: epsln = 1.0e-20_wp ! a small positive number to ensure no div by zero |
---|
| 142 | REAL(wp) :: depth_tol = 1.0e-6_wp ! a small-ish positive number to give a hbl slightly shallower than gdepw |
---|
[8930] | 143 | REAL(wp) :: pthird = 1._wp/3._wp ! 1/3 |
---|
| 144 | REAL(wp) :: p2third = 2._wp/3._wp ! 2/3 |
---|
| 145 | |
---|
| 146 | INTEGER :: idebug = 236 |
---|
| 147 | INTEGER :: jdebug = 228 |
---|
| 148 | !!---------------------------------------------------------------------- |
---|
[9598] | 149 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
---|
[13402] | 150 | !! $Id: zdfosm.F90 12317 2020-01-14 12:40:47Z agn $ |
---|
[10068] | 151 | !! Software governed by the CeCILL license (see ./LICENSE) |
---|
[8930] | 152 | !!---------------------------------------------------------------------- |
---|
| 153 | CONTAINS |
---|
| 154 | |
---|
| 155 | INTEGER FUNCTION zdf_osm_alloc() |
---|
| 156 | !!---------------------------------------------------------------------- |
---|
| 157 | !! *** FUNCTION zdf_osm_alloc *** |
---|
| 158 | !!---------------------------------------------------------------------- |
---|
[13402] | 159 | ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & |
---|
| 160 | & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
---|
| 161 | & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
---|
| 162 | |
---|
| 163 | ALLOCATE( hmle(jpi,jpj), r1_ft(jpi,jpj), dbdx_mle(jpi,jpj), dbdy_mle(jpi,jpj), & |
---|
| 164 | & mld_prof(jpi,jpj), STAT= zdf_osm_alloc ) |
---|
| 165 | |
---|
| 166 | ! ALLOCATE( ghamu(jpi,jpj,jpk), ghamv(jpi,jpj,jpk), ghamt(jpi,jpj,jpk),ghams(jpi,jpj,jpk), & ! would ths be better ? |
---|
| 167 | ! & hbl(jpi,jpj), dh(jpi,jpj), hml(jpi,jpj), dstokes(jpi, jpj), & |
---|
| 168 | ! & etmean(jpi,jpj,jpk), STAT= zdf_osm_alloc ) |
---|
| 169 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
---|
| 170 | ! IF ( ln_osm_mle ) THEN |
---|
| 171 | ! Allocate( hmle(jpi,jpj), r1_ft(jpi,jpj), STAT= zdf_osm_alloc ) |
---|
| 172 | ! IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm mle arrays') |
---|
| 173 | ! ENDIF |
---|
| 174 | |
---|
[8930] | 175 | IF( zdf_osm_alloc /= 0 ) CALL ctl_warn('zdf_osm_alloc: failed to allocate zdf_osm arrays') |
---|
[10425] | 176 | CALL mpp_sum ( 'zdfosm', zdf_osm_alloc ) |
---|
[8930] | 177 | END FUNCTION zdf_osm_alloc |
---|
| 178 | |
---|
[8946] | 179 | |
---|
[8930] | 180 | SUBROUTINE zdf_osm( kt, p_avm, p_avt ) |
---|
| 181 | !!---------------------------------------------------------------------- |
---|
| 182 | !! *** ROUTINE zdf_osm *** |
---|
| 183 | !! |
---|
| 184 | !! ** Purpose : Compute the vertical eddy viscosity and diffusivity |
---|
| 185 | !! coefficients and non local mixing using the OSMOSIS scheme |
---|
| 186 | !! |
---|
| 187 | !! ** Method : The boundary layer depth hosm is diagnosed at tracer points |
---|
| 188 | !! from profiles of buoyancy, and shear, and the surface forcing. |
---|
| 189 | !! Above hbl (sigma=-z/hbl <1) the mixing coefficients are computed from |
---|
| 190 | !! |
---|
| 191 | !! Kx = hosm Wx(sigma) G(sigma) |
---|
| 192 | !! |
---|
| 193 | !! and the non local term ghamt = Cs / Ws(sigma) / hosm |
---|
| 194 | !! Below hosm the coefficients are the sum of mixing due to internal waves |
---|
| 195 | !! shear instability and double diffusion. |
---|
| 196 | !! |
---|
| 197 | !! -1- Compute the now interior vertical mixing coefficients at all depths. |
---|
| 198 | !! -2- Diagnose the boundary layer depth. |
---|
| 199 | !! -3- Compute the now boundary layer vertical mixing coefficients. |
---|
| 200 | !! -4- Compute the now vertical eddy vicosity and diffusivity. |
---|
| 201 | !! -5- Smoothing |
---|
| 202 | !! |
---|
| 203 | !! N.B. The computation is done from jk=2 to jpkm1 |
---|
| 204 | !! Surface value of avt are set once a time to zero |
---|
| 205 | !! in routine zdf_osm_init. |
---|
| 206 | !! |
---|
| 207 | !! ** Action : update the non-local terms ghamts |
---|
| 208 | !! update avt (before vertical eddy coef.) |
---|
| 209 | !! |
---|
| 210 | !! References : Large W.G., Mc Williams J.C. and Doney S.C. |
---|
| 211 | !! Reviews of Geophysics, 32, 4, November 1994 |
---|
| 212 | !! Comments in the code refer to this paper, particularly |
---|
| 213 | !! the equation number. (LMD94, here after) |
---|
| 214 | !!---------------------------------------------------------------------- |
---|
[8946] | 215 | INTEGER , INTENT(in ) :: kt ! ocean time step |
---|
[8930] | 216 | REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: p_avm, p_avt ! momentum and tracer Kz (w-points) |
---|
| 217 | !! |
---|
| 218 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[13402] | 219 | |
---|
| 220 | INTEGER :: jl ! dummy loop indices |
---|
| 221 | |
---|
[8930] | 222 | INTEGER :: ikbot, jkmax, jkm1, jkp2 ! |
---|
| 223 | |
---|
| 224 | REAL(wp) :: ztx, zty, zflageos, zstabl, zbuofdep,zucube ! |
---|
[9190] | 225 | REAL(wp) :: zbeta, zthermal ! |
---|
[8930] | 226 | REAL(wp) :: zehat, zeta, zhrib, zsig, zscale, zwst, zws, zwm ! Velocity scales |
---|
[13402] | 227 | REAL(wp) :: zwsun, zwmun, zcons, zconm, zwcons, zwconm ! |
---|
| 228 | |
---|
[8930] | 229 | REAL(wp) :: zsr, zbw, ze, zb, zd, zc, zaw, za, zb1, za1, zkw, zk0, zcomp , zrhd,zrhdr,zbvzed ! In situ density |
---|
| 230 | INTEGER :: jm ! dummy loop indices |
---|
| 231 | REAL(wp) :: zr1, zr2, zr3, zr4, zrhop ! Compression terms |
---|
| 232 | REAL(wp) :: zflag, zrn2, zdep21, zdep32, zdep43 |
---|
| 233 | REAL(wp) :: zesh2, zri, zfri ! Interior richardson mixing |
---|
| 234 | REAL(wp) :: zdelta, zdelta2, zdzup, zdzdn, zdzh, zvath, zgat1, zdat1, zkm1m, zkm1t |
---|
| 235 | REAL(wp) :: zt,zs,zu,zv,zrh ! variables used in constructing averages |
---|
| 236 | ! Scales |
---|
| 237 | REAL(wp), DIMENSION(jpi,jpj) :: zrad0 ! Surface solar temperature flux (deg m/s) |
---|
| 238 | REAL(wp), DIMENSION(jpi,jpj) :: zradh ! Radiative flux at bl base (Buoyancy units) |
---|
| 239 | REAL(wp), DIMENSION(jpi,jpj) :: zradav ! Radiative flux, bl average (Buoyancy Units) |
---|
| 240 | REAL(wp), DIMENSION(jpi,jpj) :: zustar ! friction velocity |
---|
| 241 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrl ! Langmuir velocity scale |
---|
| 242 | REAL(wp), DIMENSION(jpi,jpj) :: zvstr ! Velocity scale that ends to zustar for large Langmuir number. |
---|
| 243 | REAL(wp), DIMENSION(jpi,jpj) :: zwstrc ! Convective velocity scale |
---|
| 244 | REAL(wp), DIMENSION(jpi,jpj) :: zuw0 ! Surface u-momentum flux |
---|
| 245 | REAL(wp), DIMENSION(jpi,jpj) :: zvw0 ! Surface v-momentum flux |
---|
| 246 | REAL(wp), DIMENSION(jpi,jpj) :: zwth0 ! Surface heat flux (Kinematic) |
---|
| 247 | REAL(wp), DIMENSION(jpi,jpj) :: zws0 ! Surface freshwater flux |
---|
| 248 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0 ! Surface buoyancy flux |
---|
[14413] | 249 | REAL(wp), DIMENSION(jpi,jpj) :: zwb0tot ! Total surface buoyancy flux including insolation |
---|
[8930] | 250 | REAL(wp), DIMENSION(jpi,jpj) :: zwthav ! Heat flux - bl average |
---|
| 251 | REAL(wp), DIMENSION(jpi,jpj) :: zwsav ! freshwater flux - bl average |
---|
| 252 | REAL(wp), DIMENSION(jpi,jpj) :: zwbav ! Buoyancy flux - bl average |
---|
| 253 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent ! Buoyancy entrainment flux |
---|
[14413] | 254 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_min |
---|
[13402] | 255 | |
---|
| 256 | |
---|
| 257 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk_b ! MLE buoyancy flux averaged over OSBL |
---|
| 258 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk ! max MLE buoyancy flux |
---|
| 259 | REAL(wp), DIMENSION(jpi,jpj) :: zdiff_mle ! extra MLE vertical diff |
---|
| 260 | REAL(wp), DIMENSION(jpi,jpj) :: zvel_mle ! velocity scale for dhdt with stable ML and FK |
---|
| 261 | |
---|
[8930] | 262 | REAL(wp), DIMENSION(jpi,jpj) :: zustke ! Surface Stokes drift |
---|
| 263 | REAL(wp), DIMENSION(jpi,jpj) :: zla ! Trubulent Langmuir number |
---|
| 264 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_wind ! Cos angle of surface stress |
---|
| 265 | REAL(wp), DIMENSION(jpi,jpj) :: zsin_wind ! Sin angle of surface stress |
---|
| 266 | REAL(wp), DIMENSION(jpi,jpj) :: zhol ! Stability parameter for boundary layer |
---|
[13402] | 267 | LOGICAL, DIMENSION(jpi,jpj) :: lconv ! unstable/stable bl |
---|
[14413] | 268 | LOGICAL, DIMENSION(jpi,jpj) :: lshear ! Shear layers |
---|
| 269 | LOGICAL, DIMENSION(jpi,jpj) :: lpyc ! OSBL pycnocline present |
---|
| 270 | LOGICAL, DIMENSION(jpi,jpj) :: lflux ! surface flux extends below OSBL into MLE layer. |
---|
| 271 | LOGICAL, DIMENSION(jpi,jpj) :: lmle ! MLE layer increases in hickness. |
---|
[8930] | 272 | |
---|
| 273 | ! mixed-layer variables |
---|
| 274 | |
---|
| 275 | INTEGER, DIMENSION(jpi,jpj) :: ibld ! level of boundary layer base |
---|
| 276 | INTEGER, DIMENSION(jpi,jpj) :: imld ! level of mixed-layer depth (pycnocline top) |
---|
[14413] | 277 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext, jp_ext_mle ! offset for external level |
---|
| 278 | INTEGER, DIMENSION(jpi, jpj) :: j_ddh ! Type of shear layer |
---|
[8930] | 279 | |
---|
| 280 | REAL(wp) :: ztgrad,zsgrad,zbgrad ! Temporary variables used to calculate pycnocline gradients |
---|
| 281 | REAL(wp) :: zugrad,zvgrad ! temporary variables for calculating pycnocline shear |
---|
| 282 | |
---|
| 283 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl ! bl depth - grid |
---|
| 284 | REAL(wp), DIMENSION(jpi,jpj) :: zhml ! ml depth - grid |
---|
[13402] | 285 | |
---|
| 286 | REAL(wp), DIMENSION(jpi,jpj) :: zhmle ! MLE depth - grid |
---|
| 287 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! ML depth on grid |
---|
| 288 | |
---|
[8930] | 289 | REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid |
---|
| 290 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency |
---|
[14413] | 291 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_bl_ext,zdsdz_bl_ext,zdbdz_bl_ext ! external temperature/salinity and buoyancy gradients |
---|
| 292 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_mle_ext,zdsdz_mle_ext,zdbdz_mle_ext ! external temperature/salinity and buoyancy gradients |
---|
[13402] | 293 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! horizontal gradients for Fox-Kemper parametrization. |
---|
| 294 | |
---|
[14413] | 295 | REAL(wp), DIMENSION(jpi,jpj) :: zt_bl,zs_bl,zu_bl,zv_bl,zb_bl ! averages over the depth of the blayer |
---|
| 296 | REAL(wp), DIMENSION(jpi,jpj) :: zt_ml,zs_ml,zu_ml,zv_ml,zb_ml ! averages over the depth of the mixed layer |
---|
| 297 | REAL(wp), DIMENSION(jpi,jpj) :: zt_mle,zs_mle,zu_mle,zv_mle,zb_mle ! averages over the depth of the MLE layer |
---|
| 298 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_bl,zds_bl,zdu_bl,zdv_bl,zdb_bl ! difference between blayer average and parameter at base of blayer |
---|
| 299 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_ml,zds_ml,zdu_ml,zdv_ml,zdb_ml ! difference between mixed layer average and parameter at base of blayer |
---|
| 300 | REAL(wp), DIMENSION(jpi,jpj) :: zdt_mle,zds_mle,zdu_mle,zdv_mle,zdb_mle ! difference between MLE layer average and parameter at base of blayer |
---|
| 301 | ! REAL(wp), DIMENSION(jpi,jpj) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
---|
| 302 | REAL(wp) :: zwth_ent,zws_ent ! heat and salinity fluxes at the top of the pycnocline |
---|
| 303 | REAL(wp) :: zuw_bse,zvw_bse ! momentum fluxes at the top of the pycnocline |
---|
[8930] | 304 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz_pyc ! parametrized gradient of temperature in pycnocline |
---|
| 305 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdsdz_pyc ! parametrised gradient of salinity in pycnocline |
---|
| 306 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdbdz_pyc ! parametrised gradient of buoyancy in the pycnocline |
---|
| 307 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz_pyc ! u-shear across the pycnocline |
---|
| 308 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdvdz_pyc ! v-shear across the pycnocline |
---|
[14413] | 309 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
---|
[8930] | 310 | ! Flux-gradient relationship variables |
---|
[14413] | 311 | REAL(wp), DIMENSION(jpi, jpj) :: zshear ! Shear production. |
---|
[8930] | 312 | |
---|
| 313 | REAL(wp) :: zl_c,zl_l,zl_eps ! Used to calculate turbulence length scale. |
---|
| 314 | |
---|
[14413] | 315 | REAL(wp) :: za_cubic, zb_cubic, zc_cubic, zd_cubic ! coefficients in cubic polynomial specifying diffusivity in pycnocline. |
---|
[8930] | 316 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_1,zsc_ws_1 ! Temporary scales used to calculate scalar non-gradient terms. |
---|
[14413] | 317 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_wth_pyc, zsc_ws_pyc ! Scales for pycnocline transport term/ |
---|
[8930] | 318 | REAL(wp), DIMENSION(jpi,jpj) :: zsc_uw_1,zsc_uw_2,zsc_vw_1,zsc_vw_2 ! Temporary scales for non-gradient momentum flux terms. |
---|
| 319 | REAL(wp), DIMENSION(jpi,jpj) :: zhbl_t ! holds boundary layer depth updated by full timestep |
---|
| 320 | |
---|
| 321 | ! For calculating Ri#-dependent mixing |
---|
| 322 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3du ! u-shear^2 |
---|
| 323 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: z3dv ! v-shear^2 |
---|
| 324 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zrimix ! spatial form of ri#-induced diffusion |
---|
| 325 | |
---|
| 326 | ! Temporary variables |
---|
| 327 | INTEGER :: inhml |
---|
| 328 | REAL(wp) :: znd,znd_d,zznd_ml,zznd_pyc,zznd_d ! temporary non-dimensional depths used in various routines |
---|
| 329 | REAL(wp) :: ztemp, zari, zpert, zzdhdt, zdb ! temporary variables |
---|
| 330 | REAL(wp) :: zthick, zz0, zz1 ! temporary variables |
---|
| 331 | REAL(wp) :: zvel_max, zhbl_s ! temporary variables |
---|
[14413] | 332 | REAL(wp) :: zfac, ztmp ! temporary variable |
---|
[8930] | 333 | REAL(wp) :: zus_x, zus_y ! temporary Stokes drift |
---|
| 334 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zviscos ! viscosity |
---|
| 335 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdiffut ! t-diffusivity |
---|
[14413] | 336 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha_pyc |
---|
| 337 | REAL(wp), DIMENSION(jpi,jpj) :: ztau_sc_u ! dissipation timescale at baes of WML. |
---|
| 338 | REAL(wp) :: zdelta_pyc, zwt_pyc_sc_1, zws_pyc_sc_1, zzeta_pyc |
---|
| 339 | REAL(wp) :: zbuoy_pyc_sc, zomega, zvw_max |
---|
[13402] | 340 | INTEGER :: ibld_ext=0 ! does not have to be zero for modified scheme |
---|
[14413] | 341 | REAL(wp) :: zgamma_b_nd, zgamma_b, zdhoh, ztau |
---|
[13402] | 342 | REAL(wp) :: zzeta_s = 0._wp |
---|
| 343 | REAL(wp) :: zzeta_v = 0.46 |
---|
| 344 | REAL(wp) :: zabsstke |
---|
[13403] | 345 | REAL(wp) :: zsqrtpi, z_two_thirds, zproportion, ztransp, zthickness |
---|
| 346 | REAL(wp) :: z2k_times_thickness, zsqrt_depth, zexp_depth, zdstokes0, zf, zexperfc |
---|
[13402] | 347 | |
---|
[8930] | 348 | ! For debugging |
---|
| 349 | INTEGER :: ikt |
---|
| 350 | !!-------------------------------------------------------------------- |
---|
| 351 | ! |
---|
| 352 | ibld(:,:) = 0 ; imld(:,:) = 0 |
---|
| 353 | zrad0(:,:) = 0._wp ; zradh(:,:) = 0._wp ; zradav(:,:) = 0._wp ; zustar(:,:) = 0._wp |
---|
| 354 | zwstrl(:,:) = 0._wp ; zvstr(:,:) = 0._wp ; zwstrc(:,:) = 0._wp ; zuw0(:,:) = 0._wp |
---|
| 355 | zvw0(:,:) = 0._wp ; zwth0(:,:) = 0._wp ; zws0(:,:) = 0._wp ; zwb0(:,:) = 0._wp |
---|
| 356 | zwthav(:,:) = 0._wp ; zwsav(:,:) = 0._wp ; zwbav(:,:) = 0._wp ; zwb_ent(:,:) = 0._wp |
---|
| 357 | zustke(:,:) = 0._wp ; zla(:,:) = 0._wp ; zcos_wind(:,:) = 0._wp ; zsin_wind(:,:) = 0._wp |
---|
[14413] | 358 | zhol(:,:) = 0._wp ; zwb0tot(:,:) = 0._wp |
---|
| 359 | lconv(:,:) = .FALSE.; lpyc(:,:) = .FALSE. ; lflux(:,:) = .FALSE. ; lmle(:,:) = .FALSE. |
---|
[8930] | 360 | ! mixed layer |
---|
| 361 | ! no initialization of zhbl or zhml (or zdh?) |
---|
| 362 | zhbl(:,:) = 1._wp ; zhml(:,:) = 1._wp ; zdh(:,:) = 1._wp ; zdhdt(:,:) = 0._wp |
---|
[14413] | 363 | zt_bl(:,:) = 0._wp ; zs_bl(:,:) = 0._wp ; zu_bl(:,:) = 0._wp |
---|
| 364 | zv_bl(:,:) = 0._wp ; zb_bl(:,:) = 0._wp |
---|
| 365 | zt_ml(:,:) = 0._wp ; zs_ml(:,:) = 0._wp ; zu_ml(:,:) = 0._wp |
---|
| 366 | zt_mle(:,:) = 0._wp ; zs_mle(:,:) = 0._wp ; zu_mle(:,:) = 0._wp |
---|
| 367 | zb_mle(:,:) = 0._wp |
---|
| 368 | zv_ml(:,:) = 0._wp ; zdt_bl(:,:) = 0._wp ; zds_bl(:,:) = 0._wp |
---|
| 369 | zdu_bl(:,:) = 0._wp ; zdv_bl(:,:) = 0._wp ; zdb_bl(:,:) = 0._wp |
---|
[8930] | 370 | zdt_ml(:,:) = 0._wp ; zds_ml(:,:) = 0._wp ; zdu_ml(:,:) = 0._wp ; zdv_ml(:,:) = 0._wp |
---|
[14413] | 371 | zdb_ml(:,:) = 0._wp |
---|
| 372 | zdt_mle(:,:) = 0._wp ; zds_mle(:,:) = 0._wp ; zdu_mle(:,:) = 0._wp |
---|
| 373 | zdv_mle(:,:) = 0._wp ; zdb_mle(:,:) = 0._wp |
---|
| 374 | zwth_ent = 0._wp ; zws_ent = 0._wp |
---|
[8930] | 375 | ! |
---|
| 376 | zdtdz_pyc(:,:,:) = 0._wp ; zdsdz_pyc(:,:,:) = 0._wp ; zdbdz_pyc(:,:,:) = 0._wp |
---|
| 377 | zdudz_pyc(:,:,:) = 0._wp ; zdvdz_pyc(:,:,:) = 0._wp |
---|
| 378 | ! |
---|
[14413] | 379 | zdtdz_bl_ext(:,:) = 0._wp ; zdsdz_bl_ext(:,:) = 0._wp ; zdbdz_bl_ext(:,:) = 0._wp |
---|
[13402] | 380 | |
---|
| 381 | IF ( ln_osm_mle ) THEN ! only initialise arrays if needed |
---|
| 382 | zdtdx(:,:) = 0._wp ; zdtdy(:,:) = 0._wp ; zdsdx(:,:) = 0._wp |
---|
| 383 | zdsdy(:,:) = 0._wp ; dbdx_mle(:,:) = 0._wp ; dbdy_mle(:,:) = 0._wp |
---|
| 384 | zwb_fk(:,:) = 0._wp ; zvel_mle(:,:) = 0._wp; zdiff_mle(:,:) = 0._wp |
---|
| 385 | zhmle(:,:) = 0._wp ; zmld(:,:) = 0._wp |
---|
| 386 | ENDIF |
---|
| 387 | zwb_fk_b(:,:) = 0._wp ! must be initialised even with ln_osm_mle=F as used in zdf_osm_calculate_dhdt |
---|
| 388 | |
---|
[8930] | 389 | ! Flux-Gradient arrays. |
---|
| 390 | zsc_wth_1(:,:) = 0._wp ; zsc_ws_1(:,:) = 0._wp ; zsc_uw_1(:,:) = 0._wp |
---|
| 391 | zsc_uw_2(:,:) = 0._wp ; zsc_vw_1(:,:) = 0._wp ; zsc_vw_2(:,:) = 0._wp |
---|
| 392 | zhbl_t(:,:) = 0._wp ; zdhdt(:,:) = 0._wp |
---|
| 393 | |
---|
| 394 | zdiffut(:,:,:) = 0._wp ; zviscos(:,:,:) = 0._wp ; ghamt(:,:,:) = 0._wp |
---|
| 395 | ghams(:,:,:) = 0._wp ; ghamu(:,:,:) = 0._wp ; ghamv(:,:,:) = 0._wp |
---|
| 396 | |
---|
[14413] | 397 | ! hbl = MAX(hbl,epsln) |
---|
[8930] | 398 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 399 | ! Calculate boundary layer scales |
---|
| 400 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
| 401 | |
---|
| 402 | ! Assume two-band radiation model for depth of OSBL |
---|
| 403 | zz0 = rn_abs ! surface equi-partition in 2-bands |
---|
| 404 | zz1 = 1. - rn_abs |
---|
| 405 | DO jj = 2, jpjm1 |
---|
| 406 | DO ji = 2, jpim1 |
---|
| 407 | ! Surface downward irradiance (so always +ve) |
---|
| 408 | zrad0(ji,jj) = qsr(ji,jj) * r1_rau0_rcp |
---|
| 409 | ! Downwards irradiance at base of boundary layer |
---|
| 410 | zradh(ji,jj) = zrad0(ji,jj) * ( zz0 * EXP( -hbl(ji,jj)/rn_si0 ) + zz1 * EXP( -hbl(ji,jj)/rn_si1) ) |
---|
| 411 | ! Downwards irradiance averaged over depth of the OSBL |
---|
| 412 | zradav(ji,jj) = zrad0(ji,jj) * ( zz0 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si0 ) )*rn_si0 & |
---|
| 413 | & + zz1 * ( 1.0 - EXP( -hbl(ji,jj)/rn_si1 ) )*rn_si1 ) / hbl(ji,jj) |
---|
| 414 | END DO |
---|
| 415 | END DO |
---|
| 416 | ! Turbulent surface fluxes and fluxes averaged over depth of the OSBL |
---|
| 417 | DO jj = 2, jpjm1 |
---|
| 418 | DO ji = 2, jpim1 |
---|
| 419 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 420 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 421 | ! Upwards surface Temperature flux for non-local term |
---|
| 422 | zwth0(ji,jj) = - qns(ji,jj) * r1_rau0_rcp * tmask(ji,jj,1) |
---|
| 423 | ! Upwards surface salinity flux for non-local term |
---|
| 424 | zws0(ji,jj) = - ( ( emp(ji,jj)-rnf(ji,jj) ) * tsn(ji,jj,1,jp_sal) + sfx(ji,jj) ) * r1_rau0 * tmask(ji,jj,1) |
---|
| 425 | ! Non radiative upwards surface buoyancy flux |
---|
| 426 | zwb0(ji,jj) = grav * zthermal * zwth0(ji,jj) - grav * zbeta * zws0(ji,jj) |
---|
[14413] | 427 | ! Total upwards surface buoyancy flux |
---|
| 428 | zwb0tot(ji,jj) = zwb0(ji,jj) - grav * zthermal * zrad0(ji,jj) |
---|
[8930] | 429 | ! turbulent heat flux averaged over depth of OSBL |
---|
| 430 | zwthav(ji,jj) = 0.5 * zwth0(ji,jj) - ( 0.5*( zrad0(ji,jj) + zradh(ji,jj) ) - zradav(ji,jj) ) |
---|
| 431 | ! turbulent salinity flux averaged over depth of the OBSL |
---|
| 432 | zwsav(ji,jj) = 0.5 * zws0(ji,jj) |
---|
| 433 | ! turbulent buoyancy flux averaged over the depth of the OBSBL |
---|
| 434 | zwbav(ji,jj) = grav * zthermal * zwthav(ji,jj) - grav * zbeta * zwsav(ji,jj) |
---|
| 435 | ! Surface upward velocity fluxes |
---|
[13403] | 436 | zuw0(ji,jj) = - 0.5 * (utau(ji-1,jj) + utau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
---|
| 437 | zvw0(ji,jj) = - 0.5 * (vtau(ji,jj-1) + vtau(ji,jj)) * r1_rau0 * tmask(ji,jj,1) |
---|
[8930] | 438 | ! Friction velocity (zustar), at T-point : LMD94 eq. 2 |
---|
| 439 | zustar(ji,jj) = MAX( SQRT( SQRT( zuw0(ji,jj) * zuw0(ji,jj) + zvw0(ji,jj) * zvw0(ji,jj) ) ), 1.0e-8 ) |
---|
| 440 | zcos_wind(ji,jj) = -zuw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
---|
| 441 | zsin_wind(ji,jj) = -zvw0(ji,jj) / ( zustar(ji,jj) * zustar(ji,jj) ) |
---|
| 442 | END DO |
---|
| 443 | END DO |
---|
| 444 | ! Calculate Stokes drift in direction of wind (zustke) and Stokes penetration depth (dstokes) |
---|
| 445 | SELECT CASE (nn_osm_wave) |
---|
| 446 | ! Assume constant La#=0.3 |
---|
| 447 | CASE(0) |
---|
| 448 | DO jj = 2, jpjm1 |
---|
| 449 | DO ji = 2, jpim1 |
---|
| 450 | zus_x = zcos_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
---|
| 451 | zus_y = zsin_wind(ji,jj) * zustar(ji,jj) / 0.3**2 |
---|
[13403] | 452 | ! Linearly |
---|
[8930] | 453 | zustke(ji,jj) = MAX ( SQRT( zus_x*zus_x + zus_y*zus_y), 1.0e-8 ) |
---|
[13403] | 454 | dstokes(ji,jj) = rn_osm_dstokes |
---|
[8930] | 455 | END DO |
---|
| 456 | END DO |
---|
| 457 | ! Assume Pierson-Moskovitz wind-wave spectrum |
---|
| 458 | CASE(1) |
---|
| 459 | DO jj = 2, jpjm1 |
---|
| 460 | DO ji = 2, jpim1 |
---|
| 461 | ! Use wind speed wndm included in sbc_oce module |
---|
[13403] | 462 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
---|
| 463 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
---|
[8930] | 464 | END DO |
---|
| 465 | END DO |
---|
| 466 | ! Use ECMWF wave fields as output from SBCWAVE |
---|
| 467 | CASE(2) |
---|
| 468 | zfac = 2.0_wp * rpi / 16.0_wp |
---|
[13403] | 469 | |
---|
[8930] | 470 | DO jj = 2, jpjm1 |
---|
| 471 | DO ji = 2, jpim1 |
---|
[13403] | 472 | IF (hsw(ji,jj) > 1.e-4) THEN |
---|
| 473 | ! Use wave fields |
---|
| 474 | zabsstke = SQRT(ut0sd(ji,jj)**2 + vt0sd(ji,jj)**2) |
---|
| 475 | zustke(ji,jj) = MAX ( ( zcos_wind(ji,jj) * ut0sd(ji,jj) + zsin_wind(ji,jj) * vt0sd(ji,jj) ), 1.0e-8) |
---|
| 476 | dstokes(ji,jj) = MAX (zfac * hsw(ji,jj)*hsw(ji,jj) / ( MAX(zabsstke * wmp(ji,jj), 1.0e-7 ) ), 5.0e-1) |
---|
| 477 | ELSE |
---|
| 478 | ! Assume masking issue (e.g. ice in ECMWF reanalysis but not in model run) |
---|
| 479 | ! .. so default to Pierson-Moskowitz |
---|
| 480 | zustke(ji,jj) = MAX ( 0.016 * wndm(ji,jj), 1.0e-8 ) |
---|
| 481 | dstokes(ji,jj) = MAX ( 0.12 * wndm(ji,jj)**2 / grav, 5.e-1) |
---|
| 482 | END IF |
---|
| 483 | END DO |
---|
| 484 | END DO |
---|
| 485 | END SELECT |
---|
| 486 | |
---|
| 487 | IF (ln_zdfosm_ice_shelter) THEN |
---|
| 488 | ! Reduce both Stokes drift and its depth scale by ocean fraction to represent sheltering by ice |
---|
| 489 | DO jj = 2, jpjm1 |
---|
| 490 | DO ji = 2, jpim1 |
---|
| 491 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
---|
| 492 | dstokes(ji,jj) = dstokes(ji,jj) * (1.0_wp - fr_i(ji,jj)) |
---|
[8930] | 493 | END DO |
---|
| 494 | END DO |
---|
[13403] | 495 | END IF |
---|
| 496 | |
---|
| 497 | SELECT CASE (nn_osm_SD_reduce) |
---|
| 498 | ! Reduce surface Stokes drift by a constant factor or following Breivik (2016) + van Roekel (2012) or Grant (2020). |
---|
| 499 | CASE(0) |
---|
| 500 | ! The Langmur number from the ECMWF model (or from PM) appears to give La<0.3 for wind-driven seas. |
---|
| 501 | ! The coefficient rn_zdfosm_adjust_sd = 0.8 gives La=0.3 in this situation. |
---|
| 502 | ! It could represent the effects of the spread of wave directions |
---|
| 503 | ! around the mean wind. The effect of this adjustment needs to be tested. |
---|
| 504 | IF(nn_osm_wave > 0) THEN |
---|
| 505 | zustke(2:jpim1,2:jpjm1) = rn_zdfosm_adjust_sd * zustke(2:jpim1,2:jpjm1) |
---|
| 506 | END IF |
---|
| 507 | CASE(1) |
---|
| 508 | ! van Roekel (2012): consider average SD over top 10% of boundary layer |
---|
| 509 | ! assumes approximate depth profile of SD from Breivik (2016) |
---|
| 510 | zsqrtpi = SQRT(rpi) |
---|
| 511 | z_two_thirds = 2.0_wp / 3.0_wp |
---|
| 512 | |
---|
| 513 | DO jj = 2, jpjm1 |
---|
| 514 | DO ji = 2, jpim1 |
---|
| 515 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
| 516 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
---|
| 517 | zsqrt_depth = SQRT(z2k_times_thickness) |
---|
| 518 | zexp_depth = EXP(-z2k_times_thickness) |
---|
| 519 | zustke(ji,jj) = zustke(ji,jj) * (1.0_wp - zexp_depth & |
---|
| 520 | & - z_two_thirds * ( zsqrtpi*zsqrt_depth*z2k_times_thickness * ERFC(zsqrt_depth) & |
---|
| 521 | & + 1.0_wp - (1.0_wp + z2k_times_thickness)*zexp_depth ) ) / z2k_times_thickness |
---|
| 522 | |
---|
| 523 | END DO |
---|
| 524 | END DO |
---|
| 525 | CASE(2) |
---|
| 526 | ! Grant (2020): Match to exponential with same SD and d/dz(Sd) at depth 10% of boundary layer |
---|
| 527 | ! assumes approximate depth profile of SD from Breivik (2016) |
---|
| 528 | zsqrtpi = SQRT(rpi) |
---|
| 529 | |
---|
| 530 | DO jj = 2, jpjm1 |
---|
| 531 | DO ji = 2, jpim1 |
---|
| 532 | zthickness = rn_osm_hblfrac*hbl(ji,jj) |
---|
| 533 | z2k_times_thickness = zthickness * 2.0_wp / MAX( ABS( 5.97_wp * dstokes(ji,jj) ), 0.0000001_wp ) |
---|
| 534 | |
---|
| 535 | IF(z2k_times_thickness < 50._wp) THEN |
---|
| 536 | zsqrt_depth = SQRT(z2k_times_thickness) |
---|
| 537 | zexperfc = zsqrtpi * zsqrt_depth * ERFC(zsqrt_depth) * EXP(z2k_times_thickness) |
---|
| 538 | ELSE |
---|
| 539 | ! asymptotic expansion of sqrt(pi)*zsqrt_depth*EXP(z2k_times_thickness)*ERFC(zsqrt_depth) for large z2k_times_thickness |
---|
| 540 | ! See Abramowitz and Stegun, Eq. 7.1.23 |
---|
| 541 | ! zexperfc = 1._wp - (1/2)/(z2k_times_thickness) + (3/4)/(z2k_times_thickness**2) - (15/8)/(z2k_times_thickness**3) |
---|
| 542 | zexperfc = ((- 1.875_wp/z2k_times_thickness + 0.75_wp)/z2k_times_thickness - 0.5_wp)/z2k_times_thickness + 1.0_wp |
---|
| 543 | END IF |
---|
| 544 | zf = z2k_times_thickness*(1.0_wp/zexperfc - 1.0_wp) |
---|
| 545 | dstokes(ji,jj) = 5.97 * zf * dstokes(ji,jj) |
---|
| 546 | zustke(ji,jj) = zustke(ji,jj) * EXP(z2k_times_thickness * ( 1.0_wp / (2. * zf) - 1.0_wp )) * ( 1.0_wp - zexperfc) |
---|
| 547 | END DO |
---|
| 548 | END DO |
---|
[8930] | 549 | END SELECT |
---|
| 550 | |
---|
| 551 | ! Langmuir velocity scale (zwstrl), La # (zla) |
---|
| 552 | ! mixed scale (zvstr), convective velocity scale (zwstrc) |
---|
| 553 | DO jj = 2, jpjm1 |
---|
| 554 | DO ji = 2, jpim1 |
---|
| 555 | ! Langmuir velocity scale (zwstrl), at T-point |
---|
| 556 | zwstrl(ji,jj) = ( zustar(ji,jj) * zustar(ji,jj) * zustke(ji,jj) )**pthird |
---|
[13402] | 557 | zla(ji,jj) = MAX(MIN(SQRT ( zustar(ji,jj) / ( zwstrl(ji,jj) + epsln ) )**3, 4.0), 0.2) |
---|
| 558 | IF(zla(ji,jj) > 0.45) dstokes(ji,jj) = MIN(dstokes(ji,jj), 0.5_wp*hbl(ji,jj)) |
---|
[8930] | 559 | ! Velocity scale that tends to zustar for large Langmuir numbers |
---|
| 560 | zvstr(ji,jj) = ( zwstrl(ji,jj)**3 + & |
---|
| 561 | & ( 1.0 - EXP( -0.5 * zla(ji,jj)**2 ) ) * zustar(ji,jj) * zustar(ji,jj) * zustar(ji,jj) )**pthird |
---|
| 562 | |
---|
| 563 | ! limit maximum value of Langmuir number as approximate treatment for shear turbulence. |
---|
| 564 | ! Note zustke and zwstrl are not amended. |
---|
| 565 | ! |
---|
| 566 | ! get convective velocity (zwstrc), stabilty scale (zhol) and logical conection flag lconv |
---|
| 567 | IF ( zwbav(ji,jj) > 0.0) THEN |
---|
| 568 | zwstrc(ji,jj) = ( 2.0 * zwbav(ji,jj) * 0.9 * hbl(ji,jj) )**pthird |
---|
| 569 | zhol(ji,jj) = -0.9 * hbl(ji,jj) * 2.0 * zwbav(ji,jj) / (zvstr(ji,jj)**3 + epsln ) |
---|
[14413] | 570 | ELSE |
---|
[8930] | 571 | zhol(ji,jj) = -hbl(ji,jj) * 2.0 * zwbav(ji,jj)/ (zvstr(ji,jj)**3 + epsln ) |
---|
| 572 | ENDIF |
---|
| 573 | END DO |
---|
| 574 | END DO |
---|
| 575 | |
---|
| 576 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 577 | ! Mixed-layer model - calculate averages over the boundary layer, and the change in the boundary layer depth |
---|
| 578 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
[13402] | 579 | ! BL must be always 4 levels deep. |
---|
| 580 | ! For calculation of lateral buoyancy gradients for FK in |
---|
| 581 | ! zdf_osm_zmld_horizontal_gradients need halo values for ibld, so must |
---|
| 582 | ! previously exist for hbl also. |
---|
[13403] | 583 | |
---|
| 584 | ! agn 23/6/20: not clear all this is needed, as hbl checked after it is re-calculated anyway |
---|
| 585 | ! ########################################################################## |
---|
[13402] | 586 | hbl(:,:) = MAX(hbl(:,:), gdepw_n(:,:,4) ) |
---|
| 587 | ibld(:,:) = 4 |
---|
| 588 | DO jk = 5, jpkm1 |
---|
| 589 | DO jj = 1, jpj |
---|
| 590 | DO ji = 1, jpi |
---|
[8930] | 591 | IF ( hbl(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
---|
| 592 | ibld(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
| 593 | ENDIF |
---|
| 594 | END DO |
---|
| 595 | END DO |
---|
| 596 | END DO |
---|
[13403] | 597 | ! ########################################################################## |
---|
[8930] | 598 | |
---|
[13402] | 599 | DO jj = 2, jpjm1 |
---|
[8930] | 600 | DO ji = 2, jpim1 |
---|
[13402] | 601 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
---|
| 602 | imld(ji,jj) = MAX(3,ibld(ji,jj) - MAX( INT( dh(ji,jj) / e3t_n(ji, jj, ibld(ji,jj) )) , 1 )) |
---|
| 603 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
---|
[14413] | 604 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
[13402] | 605 | END DO |
---|
| 606 | END DO |
---|
| 607 | ! Averages over well-mixed and boundary layer |
---|
[14413] | 608 | jp_ext(:,:) = 2 |
---|
| 609 | CALL zdf_osm_vertical_average(ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl) |
---|
| 610 | ! jp_ext(:,:) = ibld(:,:) - imld(:,:) + 1 |
---|
| 611 | CALL zdf_osm_vertical_average(imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
---|
| 612 | ! Velocity components in frame aligned with surface stress. |
---|
| 613 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
---|
| 614 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
---|
| 615 | ! Determine the state of the OSBL, stable/unstable, shear/no shear |
---|
| 616 | CALL zdf_osm_osbl_state( lconv, lshear, j_ddh, zwb_ent, zwb_min, zshear ) |
---|
[8930] | 617 | |
---|
[13402] | 618 | IF ( ln_osm_mle ) THEN |
---|
[14413] | 619 | ! Fox-Kemper Scheme |
---|
| 620 | mld_prof = 4 |
---|
| 621 | DO jk = 5, jpkm1 |
---|
| 622 | DO jj = 2, jpjm1 |
---|
| 623 | DO ji = 2, jpim1 |
---|
| 624 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
| 625 | END DO |
---|
| 626 | END DO |
---|
| 627 | END DO |
---|
| 628 | jp_ext_mle(:,:) = 2 |
---|
| 629 | CALL zdf_osm_vertical_average(mld_prof, jp_ext_mle, zt_mle, zs_mle, zb_mle, zu_mle, zv_mle, zdt_mle, zds_mle, zdb_mle, zdu_mle, zdv_mle) |
---|
[8930] | 630 | |
---|
[14413] | 631 | DO jj = 2, jpjm1 |
---|
| 632 | DO ji = 2, jpim1 |
---|
| 633 | zhmle(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
---|
| 634 | END DO |
---|
| 635 | END DO |
---|
| 636 | |
---|
| 637 | !! External gradient |
---|
| 638 | CALL zdf_osm_external_gradients( ibld+2, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
| 639 | CALL zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
---|
| 640 | CALL zdf_osm_external_gradients( mld_prof, zdtdz_mle_ext, zdsdz_mle_ext, zdbdz_mle_ext ) |
---|
| 641 | CALL zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) |
---|
| 642 | CALL zdf_osm_mle_parameters( zmld, mld_prof, hmle, zhmle, zvel_mle, zdiff_mle ) |
---|
| 643 | ELSE ! ln_osm_mle |
---|
| 644 | ! FK not selected, Boundary Layer only. |
---|
| 645 | lpyc(:,:) = .TRUE. |
---|
| 646 | lflux(:,:) = .FALSE. |
---|
| 647 | lmle(:,:) = .FALSE. |
---|
| 648 | DO jj = 2, jpjm1 |
---|
| 649 | DO ji = 2, jpim1 |
---|
| 650 | IF ( lconv(ji,jj) .AND. zdb_bl(ji,jj) < rn_osm_bl_thresh ) lpyc(ji,jj) = .FALSE. |
---|
| 651 | END DO |
---|
| 652 | END DO |
---|
| 653 | ENDIF ! ln_osm_mle |
---|
| 654 | |
---|
| 655 | ! Test if pycnocline well resolved |
---|
| 656 | DO jj = 2, jpjm1 |
---|
| 657 | DO ji = 2,jpim1 |
---|
| 658 | IF (lconv(ji,jj) ) THEN |
---|
| 659 | ztmp = 0.2 * zhbl(ji,jj) / e3w_n(ji,jj,ibld(ji,jj)) |
---|
| 660 | IF ( ztmp > 6 ) THEN |
---|
| 661 | ! pycnocline well resolved |
---|
| 662 | jp_ext(ji,jj) = 1 |
---|
| 663 | ELSE |
---|
| 664 | ! pycnocline poorly resolved |
---|
| 665 | jp_ext(ji,jj) = 0 |
---|
| 666 | ENDIF |
---|
| 667 | ELSE |
---|
| 668 | ! Stable conditions |
---|
| 669 | jp_ext(ji,jj) = 0 |
---|
| 670 | ENDIF |
---|
| 671 | END DO |
---|
| 672 | END DO |
---|
| 673 | |
---|
| 674 | CALL zdf_osm_vertical_average(ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
| 675 | ! jp_ext = ibld-imld+1 |
---|
| 676 | CALL zdf_osm_vertical_average(imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml) |
---|
[13402] | 677 | ! Rate of change of hbl |
---|
[14413] | 678 | CALL zdf_osm_calculate_dhdt( zdhdt ) |
---|
| 679 | DO jj = 2, jpjm1 |
---|
| 680 | DO ji = 2, jpim1 |
---|
| 681 | zhbl_t(ji,jj) = hbl(ji,jj) + (zdhdt(ji,jj) - wn(ji,jj,ibld(ji,jj)))* rn_rdt ! certainly need wn here, so subtract it |
---|
[13402] | 682 | ! adjustment to represent limiting by ocean bottom |
---|
[14413] | 683 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji, jj, mbkt(ji,jj) + 1 ) ) THEN |
---|
| 684 | zhbl_t(ji,jj) = MIN(zhbl_t(ji,jj), gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol)! ht_n(:,:)) |
---|
| 685 | lpyc(ji,jj) = .FALSE. |
---|
| 686 | ENDIF |
---|
[13402] | 687 | END DO |
---|
[14413] | 688 | END DO |
---|
[8930] | 689 | |
---|
[13402] | 690 | imld(:,:) = ibld(:,:) ! use imld to hold previous blayer index |
---|
| 691 | ibld(:,:) = 4 |
---|
[8930] | 692 | |
---|
| 693 | DO jk = 4, jpkm1 |
---|
| 694 | DO jj = 2, jpjm1 |
---|
| 695 | DO ji = 2, jpim1 |
---|
| 696 | IF ( zhbl_t(ji,jj) >= gdepw_n(ji,jj,jk) ) THEN |
---|
[13402] | 697 | ibld(ji,jj) = jk |
---|
[8930] | 698 | ENDIF |
---|
| 699 | END DO |
---|
| 700 | END DO |
---|
| 701 | END DO |
---|
| 702 | |
---|
| 703 | ! |
---|
| 704 | ! Step through model levels taking account of buoyancy change to determine the effect on dhdt |
---|
| 705 | ! |
---|
[14413] | 706 | CALL zdf_osm_timestep_hbl( zdhdt ) |
---|
| 707 | ! is external level in bounds? |
---|
| 708 | |
---|
| 709 | CALL zdf_osm_vertical_average( ibld, jp_ext, zt_bl, zs_bl, zb_bl, zu_bl, zv_bl, zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl ) |
---|
[8930] | 710 | ! |
---|
| 711 | ! |
---|
[14413] | 712 | ! Check to see if lpyc needs to be changed |
---|
| 713 | |
---|
[13402] | 714 | CALL zdf_osm_pycnocline_thickness( dh, zdh ) |
---|
[14413] | 715 | |
---|
| 716 | DO jj = 2, jpjm1 |
---|
| 717 | DO ji = 2, jpim1 |
---|
| 718 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh .or. ibld(ji,jj) + jp_ext(ji,jj) >= mbkt(ji,jj) .or. ibld(ji,jj)-imld(ji,jj) == 1 ) lpyc(ji,jj) = .FALSE. |
---|
| 719 | END DO |
---|
| 720 | END DO |
---|
| 721 | |
---|
[8930] | 722 | dstokes(:,:) = MIN ( dstokes(:,:), hbl(:,:)/3. ) ! Limit delta for shallow boundary layers for calculating flux-gradient terms. |
---|
[13402] | 723 | ! |
---|
| 724 | ! Average over the depth of the mixed layer in the convective boundary layer |
---|
[14413] | 725 | ! jp_ext = ibld - imld +1 |
---|
| 726 | CALL zdf_osm_vertical_average( imld-1, ibld-imld+1, zt_ml, zs_ml, zb_ml, zu_ml, zv_ml, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml ) |
---|
[8930] | 727 | ! rotate mean currents and changes onto wind align co-ordinates |
---|
| 728 | ! |
---|
[14413] | 729 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_ml, zv_ml, zdu_ml, zdv_ml ) |
---|
| 730 | CALL zdf_osm_velocity_rotation( zcos_wind, zsin_wind, zu_bl, zv_bl, zdu_bl, zdv_bl ) |
---|
[8930] | 731 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 732 | ! Pycnocline gradients for scalars and velocity |
---|
| 733 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
| 734 | |
---|
[14413] | 735 | CALL zdf_osm_external_gradients( ibld+2, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) |
---|
| 736 | CALL zdf_osm_pycnocline_scalar_profiles( zdtdz_pyc, zdsdz_pyc, zdbdz_pyc, zalpha_pyc ) |
---|
[13402] | 737 | CALL zdf_osm_pycnocline_shear_profiles( zdudz_pyc, zdvdz_pyc ) |
---|
[8930] | 738 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 739 | ! Eddy viscosity/diffusivity and non-gradient terms in the flux-gradient relationship |
---|
| 740 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
[14413] | 741 | CALL zdf_osm_diffusivity_viscosity( zdiffut, zviscos ) |
---|
[8930] | 742 | |
---|
| 743 | ! |
---|
| 744 | ! calculate non-gradient components of the flux-gradient relationships |
---|
| 745 | ! |
---|
| 746 | ! Stokes term in scalar flux, flux-gradient relationship |
---|
| 747 | WHERE ( lconv ) |
---|
| 748 | zsc_wth_1 = zwstrl**3 * zwth0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln) |
---|
| 749 | ! |
---|
| 750 | zsc_ws_1 = zwstrl**3 * zws0 / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
| 751 | ELSEWHERE |
---|
| 752 | zsc_wth_1 = 2.0 * zwthav |
---|
| 753 | ! |
---|
| 754 | zsc_ws_1 = 2.0 * zwsav |
---|
| 755 | ENDWHERE |
---|
| 756 | |
---|
| 757 | |
---|
| 758 | DO jj = 2, jpjm1 |
---|
| 759 | DO ji = 2, jpim1 |
---|
| 760 | IF ( lconv(ji,jj) ) THEN |
---|
| 761 | DO jk = 2, imld(ji,jj) |
---|
| 762 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
[9119] | 763 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
[8930] | 764 | ! |
---|
[9119] | 765 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 1.35 * EXP ( -zznd_d ) * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
[8930] | 766 | END DO ! end jk loop |
---|
| 767 | ELSE ! else for if (lconv) |
---|
| 768 | ! Stable conditions |
---|
| 769 | DO jk = 2, ibld(ji,jj) |
---|
| 770 | zznd_d=gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
[14413] | 771 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 2.15 * EXP ( -0.85 * zznd_d ) & |
---|
[9119] | 772 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_wth_1(ji,jj) |
---|
[8930] | 773 | ! |
---|
[14413] | 774 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 2.15 * EXP ( -0.85 * zznd_d ) & |
---|
[9119] | 775 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_ws_1(ji,jj) |
---|
[8930] | 776 | END DO |
---|
| 777 | ENDIF ! endif for check on lconv |
---|
| 778 | |
---|
| 779 | END DO ! end of ji loop |
---|
| 780 | END DO ! end of jj loop |
---|
| 781 | |
---|
| 782 | ! Stokes term in flux-gradient relationship (note in zsc_uw_n don't use zvstr since term needs to go to zero as zwstrl goes to zero) |
---|
| 783 | WHERE ( lconv ) |
---|
[13402] | 784 | zsc_uw_1 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MAX( ( 1.0 - 1.0 * 6.5 * zla**(8.0/3.0) ), 0.2 ) |
---|
| 785 | zsc_uw_2 = ( zwstrl**3 + 0.5 * zwstrc**3 )**pthird * zustke / MIN( zla**(8.0/3.0) + epsln, 0.12 ) |
---|
| 786 | zsc_vw_1 = ff_t * zhml * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / ( ( zvstr**3 + 0.5 * zwstrc**3 )**(2.0/3.0) + epsln ) |
---|
[8930] | 787 | ELSEWHERE |
---|
| 788 | zsc_uw_1 = zustar**2 |
---|
[13402] | 789 | zsc_vw_1 = ff_t * zhbl * zustke**3 * MIN( zla**(8.0/3.0), 0.12 ) / (zvstr**2 + epsln) |
---|
[8930] | 790 | ENDWHERE |
---|
[13402] | 791 | IF(ln_dia_osm) THEN |
---|
| 792 | IF ( iom_use("ghamu_00") ) CALL iom_put( "ghamu_00", wmask*ghamu ) |
---|
| 793 | IF ( iom_use("ghamv_00") ) CALL iom_put( "ghamv_00", wmask*ghamv ) |
---|
| 794 | END IF |
---|
[8930] | 795 | DO jj = 2, jpjm1 |
---|
| 796 | DO ji = 2, jpim1 |
---|
| 797 | IF ( lconv(ji,jj) ) THEN |
---|
| 798 | DO jk = 2, imld(ji,jj) |
---|
| 799 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
[9119] | 800 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + ( -0.05 * EXP ( -0.4 * zznd_d ) * zsc_uw_1(ji,jj) & |
---|
| 801 | & + 0.00125 * EXP ( - zznd_d ) * zsc_uw_2(ji,jj) ) & |
---|
| 802 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) |
---|
[8930] | 803 | ! |
---|
[9119] | 804 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.65 * 0.15 * EXP ( - zznd_d ) & |
---|
| 805 | & * ( 1.0 - EXP ( -2.0 * zznd_d ) ) * zsc_vw_1(ji,jj) |
---|
[8930] | 806 | END DO ! end jk loop |
---|
| 807 | ELSE |
---|
| 808 | ! Stable conditions |
---|
| 809 | DO jk = 2, ibld(ji,jj) ! corrected to ibld |
---|
| 810 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
[9119] | 811 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.75 * 1.3 * EXP ( -0.5 * zznd_d ) & |
---|
| 812 | & * ( 1.0 - EXP ( -4.0 * zznd_d ) ) * zsc_uw_1(ji,jj) |
---|
[8930] | 813 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0._wp |
---|
| 814 | END DO ! end jk loop |
---|
| 815 | ENDIF |
---|
| 816 | END DO ! ji loop |
---|
| 817 | END DO ! jj loo |
---|
| 818 | |
---|
| 819 | ! Buoyancy term in flux-gradient relationship [note : includes ROI ratio (X0.3) and pressure (X0.5)] |
---|
| 820 | |
---|
| 821 | WHERE ( lconv ) |
---|
[14413] | 822 | zsc_wth_1 = zwbav * zwth0 * ( 1.0 + EXP ( 0.2 * zhol ) ) * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
| 823 | zsc_ws_1 = zwbav * zws0 * ( 1.0 + EXP ( 0.2 * zhol ) ) * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
[8930] | 824 | ELSEWHERE |
---|
| 825 | zsc_wth_1 = 0._wp |
---|
| 826 | zsc_ws_1 = 0._wp |
---|
| 827 | ENDWHERE |
---|
| 828 | |
---|
| 829 | DO jj = 2, jpjm1 |
---|
| 830 | DO ji = 2, jpim1 |
---|
| 831 | IF (lconv(ji,jj) ) THEN |
---|
| 832 | DO jk = 2, imld(ji,jj) |
---|
| 833 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
[14413] | 834 | ! calculate turbulent time scale |
---|
| 835 | zl_c = 0.9 * ( 1.0 - EXP ( - 5.0 * ( zznd_ml + zznd_ml**3 / 3.0 ) ) ) & |
---|
| 836 | & * ( 1.0 - EXP ( -15.0 * ( 1.2 - zznd_ml ) ) ) |
---|
| 837 | zl_l = 2.0 * ( 1.0 - EXP ( - 2.0 * ( zznd_ml + zznd_ml**3 / 3.0 ) ) ) & |
---|
| 838 | & * ( 1.0 - EXP ( - 8.0 * ( 1.15 - zznd_ml ) ) ) * ( 1.0 + dstokes(ji,jj) / zhml (ji,jj) ) |
---|
| 839 | zl_eps = zl_l + ( zl_c - zl_l ) / ( 1.0 + EXP ( -3.0 * LOG10 ( - zhol(ji,jj) ) ) ) ** (3.0 / 2.0) |
---|
[9119] | 840 | ! non-gradient buoyancy terms |
---|
[14413] | 841 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * 0.4 * zsc_wth_1(ji,jj) * zl_eps / ( 0.15 + zznd_ml ) |
---|
| 842 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * 0.4 * zsc_ws_1(ji,jj) * zl_eps / ( 0.15 + zznd_ml ) |
---|
[8930] | 843 | END DO |
---|
[14413] | 844 | |
---|
| 845 | IF ( lpyc(ji,jj) ) THEN |
---|
| 846 | ztau_sc_u(ji,jj) = zhml(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
---|
| 847 | ztau_sc_u(ji,jj) = ztau_sc_u(ji,jj) * ( 1.4 -0.4 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) )**1.5 ) |
---|
| 848 | zwth_ent = -0.003 * ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zdt_ml(ji,jj) |
---|
| 849 | zws_ent = -0.003 * ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zds_ml(ji,jj) |
---|
| 850 | ! Cubic profile used for buoyancy term |
---|
| 851 | DO jk = 2, ibld(ji,jj) |
---|
| 852 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 853 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - 0.045 * ( ( zwth_ent * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * MAX( ( 1.75 * zznd_pyc -0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ), 0.0 ) |
---|
| 854 | |
---|
| 855 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - 0.045 * ( ( zws_ent * zdbdz_pyc(ji,jj,jk) ) * ztau_sc_u(ji,jj)**2 ) * MAX( ( 1.75 * zznd_pyc -0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ), 0.0 ) |
---|
| 856 | END DO |
---|
| 857 | ! |
---|
| 858 | IF ( dh(ji,jj) < 0.2*hbl(ji,jj) ) THEN |
---|
| 859 | zbuoy_pyc_sc = zalpha_pyc(ji,jj) * zdb_ml(ji,jj) / zdh(ji,jj) + zdbdz_bl_ext(ji,jj) |
---|
| 860 | zdelta_pyc = ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird / SQRT( MAX( zbuoy_pyc_sc, ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / zdh(ji,jj)**2 ) ) |
---|
| 861 | ! |
---|
| 862 | zwt_pyc_sc_1 = 0.325 * ( zalpha_pyc(ji,jj) * zdt_ml(ji,jj) / zdh(ji,jj) + zdtdz_bl_ext(ji,jj) ) * zdelta_pyc**2 / zdh(ji,jj) |
---|
| 863 | ! |
---|
| 864 | zws_pyc_sc_1 = 0.325 * ( zalpha_pyc(ji,jj) * zds_ml(ji,jj) / zdh(ji,jj) + zdsdz_bl_ext(ji,jj) ) * zdelta_pyc**2 / zdh(ji,jj) |
---|
| 865 | ! |
---|
| 866 | zzeta_pyc = 0.15 - 0.175 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) ) |
---|
| 867 | DO jk = 2, ibld(ji,jj) |
---|
| 868 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 869 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.05 * zwt_pyc_sc_1 * EXP( -0.25 * ( zznd_pyc / zzeta_pyc )**2 ) * zdh(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
---|
| 870 | ! |
---|
| 871 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.05 * zws_pyc_sc_1 * EXP( -0.25 * ( zznd_pyc / zzeta_pyc )**2 ) * zdh(ji,jj) / ( zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 )**pthird |
---|
| 872 | END DO |
---|
| 873 | END IF |
---|
| 874 | ENDIF ! End of pycnocline |
---|
| 875 | ELSE ! lconv test - stable conditions |
---|
[8930] | 876 | DO jk = 2, ibld(ji,jj) |
---|
| 877 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zsc_wth_1(ji,jj) |
---|
[9119] | 878 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zsc_ws_1(ji,jj) |
---|
[8930] | 879 | END DO |
---|
| 880 | ENDIF |
---|
| 881 | END DO ! ji loop |
---|
| 882 | END DO ! jj loop |
---|
| 883 | |
---|
| 884 | WHERE ( lconv ) |
---|
| 885 | zsc_uw_1 = -zwb0 * zustar**2 * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln ) |
---|
[9119] | 886 | zsc_uw_2 = zwb0 * zustke * zhml / ( zvstr**3 + 0.5 * zwstrc**3 + epsln )**(2.0/3.0) |
---|
[8930] | 887 | zsc_vw_1 = 0._wp |
---|
| 888 | ELSEWHERE |
---|
| 889 | zsc_uw_1 = 0._wp |
---|
| 890 | zsc_vw_1 = 0._wp |
---|
| 891 | ENDWHERE |
---|
| 892 | |
---|
| 893 | DO jj = 2, jpjm1 |
---|
| 894 | DO ji = 2, jpim1 |
---|
| 895 | IF ( lconv(ji,jj) ) THEN |
---|
| 896 | DO jk = 2 , imld(ji,jj) |
---|
| 897 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
[9119] | 898 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * 0.5 * ( zsc_uw_1(ji,jj) + 0.125 * EXP( -0.5 * zznd_d ) & |
---|
| 899 | & * ( 1.0 - EXP( -0.5 * zznd_d ) ) & |
---|
| 900 | & * zsc_uw_2(ji,jj) ) |
---|
[8930] | 901 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
| 902 | END DO ! jk loop |
---|
| 903 | ELSE |
---|
| 904 | ! stable conditions |
---|
| 905 | DO jk = 2, ibld(ji,jj) |
---|
| 906 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zsc_uw_1(ji,jj) |
---|
| 907 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zsc_vw_1(ji,jj) |
---|
| 908 | END DO |
---|
| 909 | ENDIF |
---|
| 910 | END DO ! ji loop |
---|
| 911 | END DO ! jj loop |
---|
| 912 | |
---|
[14413] | 913 | DO jj = 2, jpjm1 |
---|
| 914 | DO ji = 2, jpim1 |
---|
| 915 | IF( lconv(ji,jj) ) THEN |
---|
| 916 | IF ( lpyc(ji,jj) ) THEN |
---|
| 917 | IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
| 918 | ! Place holding code. Parametrization needs checking for these conditions. |
---|
| 919 | zomega = ( 0.15 * zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.75 * ( zshear(ji,jj)* zhbl(ji,jj) ))**pthird |
---|
| 920 | zuw_bse = -0.0035 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdu_ml(ji,jj) |
---|
| 921 | zvw_bse = -0.0075 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdv_ml(ji,jj) |
---|
| 922 | ELSE |
---|
| 923 | zomega = ( 0.15 * zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.75 * ( zshear(ji,jj)* zhbl(ji,jj) ))**pthird |
---|
| 924 | zuw_bse = -0.0035 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdu_ml(ji,jj) |
---|
| 925 | zvw_bse = -0.0075 * zomega * ( 1.0 - zdh(ji,jj) / zhbl(ji,jj) ) * zdv_ml(ji,jj) |
---|
| 926 | ENDIF |
---|
| 927 | zd_cubic = zdh(ji,jj) / zhbl(ji,jj) * zuw0(ji,jj) - ( 2.0 + zdh(ji,jj) /zhml(ji,jj) ) * zuw_bse |
---|
| 928 | zc_cubic = zuw_bse - zd_cubic |
---|
| 929 | ! need ztau_sc_u to be available. Change to array. |
---|
| 930 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 931 | zznd_pyc = - ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 932 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) - 0.045 * ( ztau_sc_u(ji,jj)**2 ) * zuw_bse * & |
---|
| 933 | & ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) * ( 0.75 + 0.25 * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
| 934 | END DO |
---|
| 935 | zvw_max = 0.7 * ff_t(ji,jj) * ( zustke(ji,jj) * dstokes(ji,jj) + 0.75 * zustar(ji,jj) * zhml(ji,jj) ) |
---|
| 936 | zd_cubic = zvw_max * zdh(ji,jj) / zhml(ji,jj) - ( 2.0 + zdh(ji,jj) /zhml(ji,jj) ) * zvw_bse |
---|
| 937 | zc_cubic = zvw_bse - zd_cubic |
---|
| 938 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 939 | zznd_pyc = -( gdepw_n(ji,jj,jk) -zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 940 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) - 0.045 * ( ztau_sc_u(ji,jj)**2 ) * zvw_bse * & |
---|
| 941 | & ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) * ( 0.75 + 0.25 * zznd_pyc )**2 * zdbdz_pyc(ji,jj,jk) |
---|
| 942 | END DO |
---|
| 943 | ENDIF ! lpyc |
---|
| 944 | ENDIF ! lconv |
---|
| 945 | END DO ! ji loop |
---|
| 946 | END DO ! jj loop |
---|
| 947 | |
---|
[13402] | 948 | IF(ln_dia_osm) THEN |
---|
| 949 | IF ( iom_use("ghamu_0") ) CALL iom_put( "ghamu_0", wmask*ghamu ) |
---|
| 950 | IF ( iom_use("zsc_uw_1_0") ) CALL iom_put( "zsc_uw_1_0", tmask(:,:,1)*zsc_uw_1 ) |
---|
| 951 | END IF |
---|
[8930] | 952 | ! Transport term in flux-gradient relationship [note : includes ROI ratio (X0.3) ] |
---|
| 953 | |
---|
[14413] | 954 | DO jj = 1, jpjm1 |
---|
| 955 | DO ji = 1, jpim1 |
---|
| 956 | |
---|
| 957 | IF ( lconv(ji,jj) ) THEN |
---|
| 958 | zsc_wth_1(ji,jj) = zwth0(ji,jj) / ( 1.0 - 0.56 * EXP( zhol(ji,jj) ) ) |
---|
| 959 | zsc_ws_1(ji,jj) = zws0(ji,jj) / (1.0 - 0.56 *EXP( zhol(ji,jj) ) ) |
---|
| 960 | IF ( lpyc(ji,jj) ) THEN |
---|
| 961 | ! Pycnocline scales |
---|
| 962 | zsc_wth_pyc(ji,jj) = -0.003 * zwstrc(ji,jj) * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zdt_ml(ji,jj) |
---|
| 963 | zsc_ws_pyc(ji,jj) = -0.003 * zwstrc(ji,jj) * ( 1.0 - zdh(ji,jj) /zhbl(ji,jj) ) * zds_ml(ji,jj) |
---|
| 964 | ENDIF |
---|
| 965 | ELSE |
---|
| 966 | zsc_wth_1(ji,jj) = 2.0 * zwthav(ji,jj) |
---|
| 967 | zsc_ws_1(ji,jj) = zws0(ji,jj) |
---|
| 968 | ENDIF |
---|
| 969 | END DO |
---|
| 970 | END DO |
---|
[8930] | 971 | |
---|
| 972 | DO jj = 2, jpjm1 |
---|
| 973 | DO ji = 2, jpim1 |
---|
| 974 | IF ( lconv(ji,jj) ) THEN |
---|
| 975 | DO jk = 2, imld(ji,jj) |
---|
| 976 | zznd_ml=gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
[9119] | 977 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * zsc_wth_1(ji,jj) & |
---|
| 978 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
---|
| 979 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
---|
| 980 | & * ( 1.0 - EXP( - 15.0 * ( 1.0 - zznd_ml ) ) ) |
---|
[8930] | 981 | ! |
---|
[9119] | 982 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * zsc_ws_1(ji,jj) & |
---|
| 983 | & * ( -2.0 + 2.75 * ( ( 1.0 + 0.6 * zznd_ml**4 ) & |
---|
| 984 | & - EXP( - 6.0 * zznd_ml ) ) ) & |
---|
| 985 | & * ( 1.0 - EXP ( -15.0 * ( 1.0 - zznd_ml ) ) ) |
---|
[8930] | 986 | END DO |
---|
[14413] | 987 | ! |
---|
| 988 | ! may need to comment out lpyc block |
---|
| 989 | IF ( lpyc(ji,jj) ) THEN |
---|
| 990 | ! pycnocline |
---|
| 991 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 992 | zznd_pyc = - ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 993 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 4.0 * zsc_wth_pyc(ji,jj) * ( 0.48 - EXP( -1.5 * ( zznd_pyc -0.3)**2 ) ) |
---|
| 994 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 4.0 * zsc_ws_pyc(ji,jj) * ( 0.48 - EXP( -1.5 * ( zznd_pyc -0.3)**2 ) ) |
---|
| 995 | END DO |
---|
| 996 | ENDIF |
---|
[8930] | 997 | ELSE |
---|
[14413] | 998 | IF( zdhdt(ji,jj) > 0. ) THEN |
---|
| 999 | DO jk = 2, ibld(ji,jj) |
---|
| 1000 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
| 1001 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
| 1002 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
---|
| 1003 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_wth_1(ji,jj) |
---|
| 1004 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + 0.3 * ( -4.06 * EXP( -2.0 * zznd_d ) * (1.0 - EXP( -4.0 * zznd_d ) ) + & |
---|
| 1005 | & 7.5 * EXP ( -10.0 * ( 0.95 - znd )**2 ) * ( 1.0 - znd ) ) * zsc_ws_1(ji,jj) |
---|
| 1006 | END DO |
---|
| 1007 | ENDIF |
---|
[8930] | 1008 | ENDIF |
---|
| 1009 | ENDDO ! ji loop |
---|
| 1010 | END DO ! jj loop |
---|
| 1011 | |
---|
| 1012 | WHERE ( lconv ) |
---|
| 1013 | zsc_uw_1 = zustar**2 |
---|
| 1014 | zsc_vw_1 = ff_t * zustke * zhml |
---|
| 1015 | ELSEWHERE |
---|
| 1016 | zsc_uw_1 = zustar**2 |
---|
| 1017 | zsc_uw_2 = (2.25 - 3.0 * ( 1.0 - EXP( -1.25 * 2.0 ) ) ) * ( 1.0 - EXP( -4.0 * 2.0 ) ) * zsc_uw_1 |
---|
| 1018 | zsc_vw_1 = ff_t * zustke * zhbl |
---|
| 1019 | zsc_vw_2 = -0.11 * SIN( 3.14159 * ( 2.0 + 0.4 ) ) * EXP(-( 1.5 + 2.0 )**2 ) * zsc_vw_1 |
---|
| 1020 | ENDWHERE |
---|
| 1021 | |
---|
| 1022 | DO jj = 2, jpjm1 |
---|
| 1023 | DO ji = 2, jpim1 |
---|
| 1024 | IF ( lconv(ji,jj) ) THEN |
---|
| 1025 | DO jk = 2, imld(ji,jj) |
---|
| 1026 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
| 1027 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
| 1028 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
---|
| 1029 | & + 0.3 * ( -2.0 + 2.5 * ( 1.0 + 0.1 * zznd_ml**4 ) - EXP ( -8.0 * zznd_ml ) ) * zsc_uw_1(ji,jj) |
---|
| 1030 | ! |
---|
| 1031 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
| 1032 | & + 0.3 * 0.1 * ( EXP( -zznd_d ) + EXP( -5.0 * ( 1.0 - zznd_ml ) ) ) * zsc_vw_1(ji,jj) |
---|
| 1033 | END DO |
---|
[14413] | 1034 | |
---|
[8930] | 1035 | ELSE |
---|
| 1036 | DO jk = 2, ibld(ji,jj) |
---|
| 1037 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
| 1038 | zznd_d = gdepw_n(ji,jj,jk) / dstokes(ji,jj) |
---|
| 1039 | IF ( zznd_d <= 2.0 ) THEN |
---|
| 1040 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.5 * 0.3 & |
---|
| 1041 | &* ( 2.25 - 3.0 * ( 1.0 - EXP( - 1.25 * zznd_d ) ) * ( 1.0 - EXP( -2.0 * zznd_d ) ) ) * zsc_uw_1(ji,jj) |
---|
| 1042 | ! |
---|
| 1043 | ELSE |
---|
| 1044 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk)& |
---|
| 1045 | & + 0.5 * 0.3 * ( 1.0 - EXP( -5.0 * ( 1.0 - znd ) ) ) * zsc_uw_2(ji,jj) |
---|
| 1046 | ! |
---|
| 1047 | ENDIF |
---|
| 1048 | |
---|
| 1049 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
| 1050 | & + 0.3 * 0.15 * SIN( 3.14159 * ( 0.65 * zznd_d ) ) * EXP( -0.25 * zznd_d**2 ) * zsc_vw_1(ji,jj) |
---|
| 1051 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk)& |
---|
| 1052 | & + 0.3 * 0.15 * EXP( -5.0 * ( 1.0 - znd ) ) * ( 1.0 - EXP( -20.0 * ( 1.0 - znd ) ) ) * zsc_vw_2(ji,jj) |
---|
| 1053 | END DO |
---|
| 1054 | ENDIF |
---|
| 1055 | END DO |
---|
| 1056 | END DO |
---|
[13402] | 1057 | |
---|
[14413] | 1058 | ! DO jj = 1, jpjm1 |
---|
| 1059 | ! DO ji = 1, jpim1 |
---|
| 1060 | ! IF ( lconv(ji,jj) ) THEN |
---|
| 1061 | ! IF ( lpyc(ji,jj) ) THEN |
---|
| 1062 | ! zd_cubic = ( 0.948 - 2.13 * zdh(ji,jj) / zhml(ji,jj) ) * zustar(ji,jj)**2 |
---|
| 1063 | ! zc_cubic = -0.474 * zustar(ji,jj)**2 - zd_cubic |
---|
| 1064 | ! DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 1065 | ! zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 1066 | ! ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + 0.3 * ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
---|
| 1067 | ! END DO |
---|
| 1068 | ! zc_cubic= 3.0 * ff_t(ji,jj) * zustar(ji,jj) * zhml(ji,jj) |
---|
| 1069 | ! zd_cubic = -2.0 * ff_t(ji,jj) * zustar(ji,jj) * zhml(ji,jj) |
---|
| 1070 | ! DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 1071 | ! zznd_pyc = -( gdepw_n(ji,jj,jk)-zhbl(ji,jj) ) / zdh(ji,jj) |
---|
| 1072 | ! ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + 0.3 * ( zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
---|
| 1073 | ! END DO |
---|
| 1074 | ! ENDIF |
---|
| 1075 | ! ENDIF |
---|
| 1076 | ! END DO |
---|
| 1077 | ! END DO |
---|
| 1078 | |
---|
| 1079 | IF(ln_dSia_osm) THEN |
---|
[13402] | 1080 | IF ( iom_use("ghamu_f") ) CALL iom_put( "ghamu_f", wmask*ghamu ) |
---|
| 1081 | IF ( iom_use("ghamv_f") ) CALL iom_put( "ghamv_f", wmask*ghamv ) |
---|
| 1082 | IF ( iom_use("zsc_uw_1_f") ) CALL iom_put( "zsc_uw_1_f", tmask(:,:,1)*zsc_uw_1 ) |
---|
| 1083 | IF ( iom_use("zsc_vw_1_f") ) CALL iom_put( "zsc_vw_1_f", tmask(:,:,1)*zsc_vw_1 ) |
---|
| 1084 | IF ( iom_use("zsc_uw_2_f") ) CALL iom_put( "zsc_uw_2_f", tmask(:,:,1)*zsc_uw_2 ) |
---|
| 1085 | IF ( iom_use("zsc_vw_2_f") ) CALL iom_put( "zsc_vw_2_f", tmask(:,:,1)*zsc_vw_2 ) |
---|
| 1086 | END IF |
---|
[8930] | 1087 | ! |
---|
| 1088 | ! Make surface forced velocity non-gradient terms go to zero at the base of the mixed layer. |
---|
| 1089 | |
---|
[14413] | 1090 | |
---|
| 1091 | ! Make surface forced velocity non-gradient terms go to zero at the base of the boundary layer. |
---|
| 1092 | |
---|
[8930] | 1093 | DO jj = 2, jpjm1 |
---|
| 1094 | DO ji = 2, jpim1 |
---|
[14413] | 1095 | IF ( .not. lconv(ji,jj) ) THEN |
---|
[8930] | 1096 | DO jk = 2, ibld(ji,jj) |
---|
[14413] | 1097 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / zhbl(ji,jj) !ALMG to think about |
---|
[8930] | 1098 | IF ( znd >= 0.0 ) THEN |
---|
| 1099 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
---|
| 1100 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * ( 1.0 - EXP( -10.0 * znd**2 ) ) |
---|
| 1101 | ELSE |
---|
| 1102 | ghamu(ji,jj,jk) = 0._wp |
---|
| 1103 | ghamv(ji,jj,jk) = 0._wp |
---|
| 1104 | ENDIF |
---|
| 1105 | END DO |
---|
| 1106 | ENDIF |
---|
| 1107 | END DO |
---|
| 1108 | END DO |
---|
| 1109 | |
---|
| 1110 | ! pynocline contributions |
---|
| 1111 | DO jj = 2, jpjm1 |
---|
| 1112 | DO ji = 2, jpim1 |
---|
[14413] | 1113 | IF ( .not. lconv(ji,jj) ) THEN |
---|
| 1114 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
[13402] | 1115 | DO jk= 2, ibld(ji,jj) |
---|
| 1116 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + zdiffut(ji,jj,jk) * zdtdz_pyc(ji,jj,jk) |
---|
| 1117 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zdiffut(ji,jj,jk) * zdsdz_pyc(ji,jj,jk) |
---|
| 1118 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) + zviscos(ji,jj,jk) * zdudz_pyc(ji,jj,jk) |
---|
| 1119 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) + zviscos(ji,jj,jk) * zdvdz_pyc(ji,jj,jk) |
---|
| 1120 | END DO |
---|
| 1121 | END IF |
---|
[14413] | 1122 | END IF |
---|
[13402] | 1123 | END DO |
---|
[8930] | 1124 | END DO |
---|
[14413] | 1125 | IF(ln_dia_osm) THEN |
---|
| 1126 | IF ( iom_use("ghamu_b") ) CALL iom_put( "ghamu_b", wmask*ghamu ) |
---|
| 1127 | IF ( iom_use("ghamv_b") ) CALL iom_put( "ghamv_b", wmask*ghamv ) |
---|
| 1128 | END IF |
---|
[8930] | 1129 | |
---|
| 1130 | DO jj=2, jpjm1 |
---|
| 1131 | DO ji = 2, jpim1 |
---|
[14413] | 1132 | ghamt(ji,jj,ibld(ji,jj)) = 0._wp |
---|
| 1133 | ghams(ji,jj,ibld(ji,jj)) = 0._wp |
---|
| 1134 | ghamu(ji,jj,ibld(ji,jj)) = 0._wp |
---|
| 1135 | ghamv(ji,jj,ibld(ji,jj)) = 0._wp |
---|
[8930] | 1136 | END DO ! ji loop |
---|
| 1137 | END DO ! jj loop |
---|
| 1138 | |
---|
[13402] | 1139 | IF(ln_dia_osm) THEN |
---|
| 1140 | IF ( iom_use("ghamu_1") ) CALL iom_put( "ghamu_1", wmask*ghamu ) |
---|
| 1141 | IF ( iom_use("ghamv_1") ) CALL iom_put( "ghamv_1", wmask*ghamv ) |
---|
| 1142 | IF ( iom_use("zdudz_pyc") ) CALL iom_put( "zdudz_pyc", wmask*zdudz_pyc ) |
---|
| 1143 | IF ( iom_use("zdvdz_pyc") ) CALL iom_put( "zdvdz_pyc", wmask*zdvdz_pyc ) |
---|
| 1144 | IF ( iom_use("zviscos") ) CALL iom_put( "zviscos", wmask*zviscos ) |
---|
| 1145 | END IF |
---|
[8930] | 1146 | !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> |
---|
| 1147 | ! Need to put in code for contributions that are applied explicitly to |
---|
| 1148 | ! the prognostic variables |
---|
| 1149 | ! 1. Entrainment flux |
---|
| 1150 | ! |
---|
| 1151 | !<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<< |
---|
| 1152 | |
---|
| 1153 | |
---|
| 1154 | |
---|
| 1155 | ! rotate non-gradient velocity terms back to model reference frame |
---|
| 1156 | |
---|
| 1157 | DO jj = 2, jpjm1 |
---|
| 1158 | DO ji = 2, jpim1 |
---|
| 1159 | DO jk = 2, ibld(ji,jj) |
---|
| 1160 | ztemp = ghamu(ji,jj,jk) |
---|
| 1161 | ghamu(ji,jj,jk) = ghamu(ji,jj,jk) * zcos_wind(ji,jj) - ghamv(ji,jj,jk) * zsin_wind(ji,jj) |
---|
| 1162 | ghamv(ji,jj,jk) = ghamv(ji,jj,jk) * zcos_wind(ji,jj) + ztemp * zsin_wind(ji,jj) |
---|
| 1163 | END DO |
---|
| 1164 | END DO |
---|
| 1165 | END DO |
---|
| 1166 | |
---|
| 1167 | IF(ln_dia_osm) THEN |
---|
| 1168 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
---|
[13402] | 1169 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
---|
| 1170 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
---|
[8930] | 1171 | END IF |
---|
| 1172 | |
---|
| 1173 | ! KPP-style Ri# mixing |
---|
| 1174 | IF( ln_kpprimix) THEN |
---|
| 1175 | DO jk = 2, jpkm1 !* Shear production at uw- and vw-points (energy conserving form) |
---|
| 1176 | DO jj = 1, jpjm1 |
---|
| 1177 | DO ji = 1, jpim1 ! vector opt. |
---|
| 1178 | z3du(ji,jj,jk) = 0.5 * ( un(ji,jj,jk-1) - un(ji ,jj,jk) ) & |
---|
| 1179 | & * ( ub(ji,jj,jk-1) - ub(ji ,jj,jk) ) * wumask(ji,jj,jk) & |
---|
| 1180 | & / ( e3uw_n(ji,jj,jk) * e3uw_b(ji,jj,jk) ) |
---|
| 1181 | z3dv(ji,jj,jk) = 0.5 * ( vn(ji,jj,jk-1) - vn(ji,jj ,jk) ) & |
---|
| 1182 | & * ( vb(ji,jj,jk-1) - vb(ji,jj ,jk) ) * wvmask(ji,jj,jk) & |
---|
| 1183 | & / ( e3vw_n(ji,jj,jk) * e3vw_b(ji,jj,jk) ) |
---|
| 1184 | END DO |
---|
| 1185 | END DO |
---|
| 1186 | END DO |
---|
| 1187 | ! |
---|
| 1188 | DO jk = 2, jpkm1 |
---|
| 1189 | DO jj = 2, jpjm1 |
---|
| 1190 | DO ji = 2, jpim1 ! vector opt. |
---|
| 1191 | ! ! shear prod. at w-point weightened by mask |
---|
| 1192 | zesh2 = ( z3du(ji-1,jj,jk) + z3du(ji,jj,jk) ) / MAX( 1._wp , umask(ji-1,jj,jk) + umask(ji,jj,jk) ) & |
---|
| 1193 | & + ( z3dv(ji,jj-1,jk) + z3dv(ji,jj,jk) ) / MAX( 1._wp , vmask(ji,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
| 1194 | ! ! local Richardson number |
---|
| 1195 | zri = MAX( rn2b(ji,jj,jk), 0._wp ) / MAX(zesh2, epsln) |
---|
| 1196 | zfri = MIN( zri / rn_riinfty , 1.0_wp ) |
---|
| 1197 | zfri = ( 1.0_wp - zfri * zfri ) |
---|
| 1198 | zrimix(ji,jj,jk) = zfri * zfri * zfri * wmask(ji, jj, jk) |
---|
| 1199 | END DO |
---|
| 1200 | END DO |
---|
| 1201 | END DO |
---|
| 1202 | |
---|
| 1203 | DO jj = 2, jpjm1 |
---|
| 1204 | DO ji = 2, jpim1 |
---|
| 1205 | DO jk = ibld(ji,jj) + 1, jpkm1 |
---|
| 1206 | zdiffut(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
---|
| 1207 | zviscos(ji,jj,jk) = zrimix(ji,jj,jk)*rn_difri |
---|
| 1208 | END DO |
---|
| 1209 | END DO |
---|
| 1210 | END DO |
---|
| 1211 | |
---|
| 1212 | END IF ! ln_kpprimix = .true. |
---|
| 1213 | |
---|
| 1214 | ! KPP-style set diffusivity large if unstable below BL |
---|
| 1215 | IF( ln_convmix) THEN |
---|
| 1216 | DO jj = 2, jpjm1 |
---|
| 1217 | DO ji = 2, jpim1 |
---|
| 1218 | DO jk = ibld(ji,jj) + 1, jpkm1 |
---|
| 1219 | IF( MIN( rn2(ji,jj,jk), rn2b(ji,jj,jk) ) <= -1.e-12 ) zdiffut(ji,jj,jk) = rn_difconv |
---|
| 1220 | END DO |
---|
| 1221 | END DO |
---|
| 1222 | END DO |
---|
| 1223 | END IF ! ln_convmix = .true. |
---|
| 1224 | |
---|
[13402] | 1225 | |
---|
[13403] | 1226 | |
---|
[13402] | 1227 | IF ( ln_osm_mle ) THEN ! set up diffusivity and non-gradient mixing |
---|
| 1228 | DO jj = 2 , jpjm1 |
---|
| 1229 | DO ji = 2, jpim1 |
---|
[14413] | 1230 | IF ( lflux(ji,jj) ) THEN ! MLE mixing extends below boundary layer |
---|
| 1231 | ! Calculate MLE flux contribution from surface fluxes |
---|
[13402] | 1232 | DO jk = 1, ibld(ji,jj) |
---|
| 1233 | znd = gdepw_n(ji,jj,jk) / MAX(zhbl(ji,jj),epsln) |
---|
[14413] | 1234 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) - ( zwth0(ji,jj) - zrad0(ji,jj) ) * ( 1.0 - znd ) |
---|
[13402] | 1235 | ghams(ji,jj,jk) = ghams(ji,jj,jk) - zws0(ji,jj) * ( 1.0 - znd ) |
---|
| 1236 | END DO |
---|
| 1237 | DO jk = 1, mld_prof(ji,jj) |
---|
| 1238 | znd = gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
[14413] | 1239 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) + ( zwth0(ji,jj) - zrad0(ji,jj) ) * ( 1.0 - znd ) |
---|
[13402] | 1240 | ghams(ji,jj,jk) = ghams(ji,jj,jk) + zws0(ji,jj) * ( 1.0 -znd ) |
---|
| 1241 | END DO |
---|
| 1242 | ! Viscosity for MLEs |
---|
[14413] | 1243 | DO jk = 1, mld_prof(ji,jj) |
---|
| 1244 | znd = -gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
| 1245 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + 5.0 / 21.0 * ( 2.0 * znd + 1.0 )** 2 ) |
---|
[13402] | 1246 | END DO |
---|
[14413] | 1247 | ELSE |
---|
| 1248 | ! Surface transports limited to OSBL. |
---|
| 1249 | ! Viscosity for MLEs |
---|
| 1250 | DO jk = 1, mld_prof(ji,jj) |
---|
| 1251 | znd = -gdepw_n(ji,jj,jk) / MAX(zhmle(ji,jj),epsln) |
---|
| 1252 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdiff_mle(ji,jj) * ( 1.0 - ( 2.0 * znd + 1.0 )**2 ) * ( 1.0 + 5.0 / 21.0 * ( 2.0 * znd + 1.0 )** 2 ) |
---|
[13402] | 1253 | END DO |
---|
[14413] | 1254 | ENDIF |
---|
[13402] | 1255 | END DO |
---|
| 1256 | END DO |
---|
| 1257 | ENDIF |
---|
| 1258 | |
---|
| 1259 | IF(ln_dia_osm) THEN |
---|
| 1260 | IF ( iom_use("zdtdz_pyc") ) CALL iom_put( "zdtdz_pyc", wmask*zdtdz_pyc ) |
---|
| 1261 | IF ( iom_use("zdsdz_pyc") ) CALL iom_put( "zdsdz_pyc", wmask*zdsdz_pyc ) |
---|
| 1262 | IF ( iom_use("zdbdz_pyc") ) CALL iom_put( "zdbdz_pyc", wmask*zdbdz_pyc ) |
---|
| 1263 | END IF |
---|
| 1264 | |
---|
| 1265 | |
---|
[8930] | 1266 | ! Lateral boundary conditions on zvicos (sign unchanged), needed to caclulate viscosities on u and v grids |
---|
[13402] | 1267 | !CALL lbc_lnk( zviscos(:,:,:), 'W', 1. ) |
---|
[8930] | 1268 | |
---|
| 1269 | ! GN 25/8: need to change tmask --> wmask |
---|
| 1270 | |
---|
| 1271 | DO jk = 2, jpkm1 |
---|
| 1272 | DO jj = 2, jpjm1 |
---|
| 1273 | DO ji = 2, jpim1 |
---|
| 1274 | p_avt(ji,jj,jk) = MAX( zdiffut(ji,jj,jk), avtb(jk) ) * tmask(ji,jj,jk) |
---|
| 1275 | p_avm(ji,jj,jk) = MAX( zviscos(ji,jj,jk), avmb(jk) ) * tmask(ji,jj,jk) |
---|
| 1276 | END DO |
---|
| 1277 | END DO |
---|
| 1278 | END DO |
---|
| 1279 | ! Lateral boundary conditions on ghamu and ghamv, currently on W-grid (sign unchanged), needed to caclulate gham[uv] on u and v grids |
---|
[10425] | 1280 | CALL lbc_lnk_multi( 'zdfosm', p_avt, 'W', 1. , p_avm, 'W', 1., & |
---|
[9104] | 1281 | & ghamu, 'W', 1. , ghamv, 'W', 1. ) |
---|
[8930] | 1282 | DO jk = 2, jpkm1 |
---|
| 1283 | DO jj = 2, jpjm1 |
---|
| 1284 | DO ji = 2, jpim1 |
---|
| 1285 | ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) & |
---|
| 1286 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji + 1,jj,jk) ) * umask(ji,jj,jk) |
---|
| 1287 | |
---|
| 1288 | ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) & |
---|
| 1289 | & / MAX( 1., tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
| 1290 | |
---|
| 1291 | ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1292 | ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 1293 | END DO |
---|
| 1294 | END DO |
---|
| 1295 | END DO |
---|
[13402] | 1296 | ! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged) |
---|
| 1297 | CALL lbc_lnk_multi( 'zdfosm', hbl, 'T', 1., dh, 'T', 1., hmle, 'T', 1. ) |
---|
[8930] | 1298 | ! Lateral boundary conditions on final outputs for gham[ts], on W-grid (sign unchanged) |
---|
[9104] | 1299 | ! Lateral boundary conditions on final outputs for gham[uv], on [UV]-grid (sign unchanged) |
---|
[10425] | 1300 | CALL lbc_lnk_multi( 'zdfosm', ghamt, 'W', 1. , ghams, 'W', 1., & |
---|
[13402] | 1301 | & ghamu, 'U', -1. , ghamv, 'V', -1. ) |
---|
[8930] | 1302 | |
---|
[13402] | 1303 | IF(ln_dia_osm) THEN |
---|
[8930] | 1304 | SELECT CASE (nn_osm_wave) |
---|
| 1305 | ! Stokes drift set by assumimg onstant La#=0.3(=0) or Pierson-Moskovitz spectrum (=1). |
---|
| 1306 | CASE(0:1) |
---|
| 1307 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", tmask(:,:,1)*zustke*zcos_wind ) ! x surface Stokes drift |
---|
| 1308 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", tmask(:,:,1)*zustke*zsin_wind ) ! y surface Stokes drift |
---|
| 1309 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
---|
| 1310 | ! Stokes drift read in from sbcwave (=2). |
---|
[13403] | 1311 | CASE(2:3) |
---|
[13402] | 1312 | IF ( iom_use("us_x") ) CALL iom_put( "us_x", ut0sd*umask(:,:,1) ) ! x surface Stokes drift |
---|
| 1313 | IF ( iom_use("us_y") ) CALL iom_put( "us_y", vt0sd*vmask(:,:,1) ) ! y surface Stokes drift |
---|
| 1314 | IF ( iom_use("wmp") ) CALL iom_put( "wmp", wmp*tmask(:,:,1) ) ! wave mean period |
---|
| 1315 | IF ( iom_use("hsw") ) CALL iom_put( "hsw", hsw*tmask(:,:,1) ) ! significant wave height |
---|
| 1316 | IF ( iom_use("wmp_NP") ) CALL iom_put( "wmp_NP", (2.*rpi*1.026/(0.877*grav) )*wndm*tmask(:,:,1) ) ! wave mean period from NP spectrum |
---|
| 1317 | IF ( iom_use("hsw_NP") ) CALL iom_put( "hsw_NP", (0.22/grav)*wndm**2*tmask(:,:,1) ) ! significant wave height from NP spectrum |
---|
| 1318 | IF ( iom_use("wndm") ) CALL iom_put( "wndm", wndm*tmask(:,:,1) ) ! U_10 |
---|
[8930] | 1319 | IF ( iom_use("wind_wave_abs_power") ) CALL iom_put( "wind_wave_abs_power", 1000.*rau0*tmask(:,:,1)*zustar**2* & |
---|
| 1320 | & SQRT(ut0sd**2 + vt0sd**2 ) ) |
---|
| 1321 | END SELECT |
---|
| 1322 | IF ( iom_use("ghamt") ) CALL iom_put( "ghamt", tmask*ghamt ) ! <Tw_NL> |
---|
| 1323 | IF ( iom_use("ghams") ) CALL iom_put( "ghams", tmask*ghams ) ! <Sw_NL> |
---|
| 1324 | IF ( iom_use("ghamu") ) CALL iom_put( "ghamu", umask*ghamu ) ! <uw_NL> |
---|
| 1325 | IF ( iom_use("ghamv") ) CALL iom_put( "ghamv", vmask*ghamv ) ! <vw_NL> |
---|
| 1326 | IF ( iom_use("zwth0") ) CALL iom_put( "zwth0", tmask(:,:,1)*zwth0 ) ! <Tw_0> |
---|
| 1327 | IF ( iom_use("zws0") ) CALL iom_put( "zws0", tmask(:,:,1)*zws0 ) ! <Sw_0> |
---|
[14413] | 1328 | IF ( iom_use("zwb0") ) CALL iom_put( "zwb0", tmask(:,:,1)*zwb0 ) ! <Sw_0> |
---|
| 1329 | IF ( iom_use("zwbav") ) CALL iom_put( "zwbav", tmask(:,:,1)*zwthav ) ! upward BL-avged turb buoyancy flux |
---|
[8930] | 1330 | IF ( iom_use("hbl") ) CALL iom_put( "hbl", tmask(:,:,1)*hbl ) ! boundary-layer depth |
---|
[13402] | 1331 | IF ( iom_use("ibld") ) CALL iom_put( "ibld", tmask(:,:,1)*ibld ) ! boundary-layer max k |
---|
| 1332 | IF ( iom_use("zdt_bl") ) CALL iom_put( "zdt_bl", tmask(:,:,1)*zdt_bl ) ! dt at ml base |
---|
| 1333 | IF ( iom_use("zds_bl") ) CALL iom_put( "zds_bl", tmask(:,:,1)*zds_bl ) ! ds at ml base |
---|
| 1334 | IF ( iom_use("zdb_bl") ) CALL iom_put( "zdb_bl", tmask(:,:,1)*zdb_bl ) ! db at ml base |
---|
| 1335 | IF ( iom_use("zdu_bl") ) CALL iom_put( "zdu_bl", tmask(:,:,1)*zdu_bl ) ! du at ml base |
---|
| 1336 | IF ( iom_use("zdv_bl") ) CALL iom_put( "zdv_bl", tmask(:,:,1)*zdv_bl ) ! dv at ml base |
---|
| 1337 | IF ( iom_use("dh") ) CALL iom_put( "dh", tmask(:,:,1)*dh ) ! Initial boundary-layer depth |
---|
| 1338 | IF ( iom_use("hml") ) CALL iom_put( "hml", tmask(:,:,1)*hml ) ! Initial boundary-layer depth |
---|
[14413] | 1339 | IF ( iom_use("zdt_ml") ) CALL iom_put( "zdt_ml", tmask(:,:,1)*zdt_ml ) ! dt at ml base |
---|
| 1340 | IF ( iom_use("zds_ml") ) CALL iom_put( "zds_ml", tmask(:,:,1)*zds_ml ) ! ds at ml base |
---|
| 1341 | IF ( iom_use("zdb_ml") ) CALL iom_put( "zdb_ml", tmask(:,:,1)*zdb_ml ) ! db at ml base |
---|
[8930] | 1342 | IF ( iom_use("dstokes") ) CALL iom_put( "dstokes", tmask(:,:,1)*dstokes ) ! Stokes drift penetration depth |
---|
| 1343 | IF ( iom_use("zustke") ) CALL iom_put( "zustke", tmask(:,:,1)*zustke ) ! Stokes drift magnitude at T-points |
---|
| 1344 | IF ( iom_use("zwstrc") ) CALL iom_put( "zwstrc", tmask(:,:,1)*zwstrc ) ! convective velocity scale |
---|
| 1345 | IF ( iom_use("zwstrl") ) CALL iom_put( "zwstrl", tmask(:,:,1)*zwstrl ) ! Langmuir velocity scale |
---|
| 1346 | IF ( iom_use("zustar") ) CALL iom_put( "zustar", tmask(:,:,1)*zustar ) ! friction velocity scale |
---|
[13402] | 1347 | IF ( iom_use("zvstr") ) CALL iom_put( "zvstr", tmask(:,:,1)*zvstr ) ! mixed velocity scale |
---|
| 1348 | IF ( iom_use("zla") ) CALL iom_put( "zla", tmask(:,:,1)*zla ) ! langmuir # |
---|
[8930] | 1349 | IF ( iom_use("wind_power") ) CALL iom_put( "wind_power", 1000.*rau0*tmask(:,:,1)*zustar**3 ) ! BL depth internal to zdf_osm routine |
---|
| 1350 | IF ( iom_use("wind_wave_power") ) CALL iom_put( "wind_wave_power", 1000.*rau0*tmask(:,:,1)*zustar**2*zustke ) |
---|
| 1351 | IF ( iom_use("zhbl") ) CALL iom_put( "zhbl", tmask(:,:,1)*zhbl ) ! BL depth internal to zdf_osm routine |
---|
| 1352 | IF ( iom_use("zhml") ) CALL iom_put( "zhml", tmask(:,:,1)*zhml ) ! ML depth internal to zdf_osm routine |
---|
[13402] | 1353 | IF ( iom_use("imld") ) CALL iom_put( "imld", tmask(:,:,1)*imld ) ! index for ML depth internal to zdf_osm routine |
---|
[14413] | 1354 | IF ( iom_use("jp_ext") ) CALL iom_put( "jp_ext", tmask(:,:,1)*jp_ext ) ! =1 if pycnocline resolved internal to zdf_osm routine |
---|
| 1355 | IF ( iom_use("j_ddh") ) CALL iom_put( "j_ddh", tmask(:,:,1)*j_ddh ) ! index forpyc thicknessh internal to zdf_osm routine |
---|
| 1356 | IF ( iom_use("zshear") ) CALL iom_put( "zshear", tmask(:,:,1)*zshear ) ! shear production of TKE internal to zdf_osm routine |
---|
[13402] | 1357 | IF ( iom_use("zdh") ) CALL iom_put( "zdh", tmask(:,:,1)*zdh ) ! pyc thicknessh internal to zdf_osm routine |
---|
[8930] | 1358 | IF ( iom_use("zhol") ) CALL iom_put( "zhol", tmask(:,:,1)*zhol ) ! ML depth internal to zdf_osm routine |
---|
[13402] | 1359 | IF ( iom_use("zwth_ent") ) CALL iom_put( "zwth_ent", tmask(:,:,1)*zwth_ent ) ! upward turb temp entrainment flux |
---|
| 1360 | IF ( iom_use("zwb_ent") ) CALL iom_put( "zwb_ent", tmask(:,:,1)*zwb_ent ) ! upward turb buoyancy entrainment flux |
---|
| 1361 | IF ( iom_use("zws_ent") ) CALL iom_put( "zws_ent", tmask(:,:,1)*zws_ent ) ! upward turb salinity entrainment flux |
---|
| 1362 | IF ( iom_use("zt_ml") ) CALL iom_put( "zt_ml", tmask(:,:,1)*zt_ml ) ! average T in ML |
---|
| 1363 | |
---|
| 1364 | IF ( iom_use("hmle") ) CALL iom_put( "hmle", tmask(:,:,1)*hmle ) ! FK layer depth |
---|
| 1365 | IF ( iom_use("zmld") ) CALL iom_put( "zmld", tmask(:,:,1)*zmld ) ! FK target layer depth |
---|
| 1366 | IF ( iom_use("zwb_fk") ) CALL iom_put( "zwb_fk", tmask(:,:,1)*zwb_fk ) ! FK b flux |
---|
| 1367 | IF ( iom_use("zwb_fk_b") ) CALL iom_put( "zwb_fk_b", tmask(:,:,1)*zwb_fk_b ) ! FK b flux averaged over ML |
---|
| 1368 | IF ( iom_use("mld_prof") ) CALL iom_put( "mld_prof", tmask(:,:,1)*mld_prof )! FK layer max k |
---|
| 1369 | IF ( iom_use("zdtdx") ) CALL iom_put( "zdtdx", umask(:,:,1)*zdtdx ) ! FK dtdx at u-pt |
---|
| 1370 | IF ( iom_use("zdtdy") ) CALL iom_put( "zdtdy", vmask(:,:,1)*zdtdy ) ! FK dtdy at v-pt |
---|
| 1371 | IF ( iom_use("zdsdx") ) CALL iom_put( "zdsdx", umask(:,:,1)*zdsdx ) ! FK dtdx at u-pt |
---|
| 1372 | IF ( iom_use("zdsdy") ) CALL iom_put( "zdsdy", vmask(:,:,1)*zdsdy ) ! FK dsdy at v-pt |
---|
| 1373 | IF ( iom_use("dbdx_mle") ) CALL iom_put( "dbdx_mle", umask(:,:,1)*dbdx_mle ) ! FK dbdx at u-pt |
---|
| 1374 | IF ( iom_use("dbdy_mle") ) CALL iom_put( "dbdy_mle", vmask(:,:,1)*dbdy_mle ) ! FK dbdy at v-pt |
---|
| 1375 | IF ( iom_use("zdiff_mle") ) CALL iom_put( "zdiff_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
---|
| 1376 | IF ( iom_use("zvel_mle") ) CALL iom_put( "zvel_mle", tmask(:,:,1)*zdiff_mle )! FK diff in MLE at t-pt |
---|
| 1377 | |
---|
[8946] | 1378 | END IF |
---|
[13402] | 1379 | |
---|
| 1380 | CONTAINS |
---|
[14413] | 1381 | ! subroutine code changed, needs syntax checking. |
---|
| 1382 | SUBROUTINE zdf_osm_diffusivity_viscosity( zdiffut, zviscos ) |
---|
[13402] | 1383 | |
---|
[14413] | 1384 | !!--------------------------------------------------------------------- |
---|
| 1385 | !! *** ROUTINE zdf_osm_diffusivity_viscosity *** |
---|
| 1386 | !! |
---|
| 1387 | !! ** Purpose : Determines the eddy diffusivity and eddy viscosity profiles in the mixed layer and the pycnocline. |
---|
| 1388 | !! |
---|
| 1389 | !! ** Method : |
---|
| 1390 | !! |
---|
| 1391 | !! !!---------------------------------------------------------------------- |
---|
| 1392 | REAL(wp), DIMENSION(:,:,:) :: zdiffut |
---|
| 1393 | REAL(wp), DIMENSION(:,:,:) :: zviscos |
---|
| 1394 | ! local |
---|
[13402] | 1395 | |
---|
[14413] | 1396 | ! Scales used to calculate eddy diffusivity and viscosity profiles |
---|
| 1397 | REAL(wp), DIMENSION(jpi,jpj) :: zdifml_sc, zvisml_sc |
---|
| 1398 | REAL(wp), DIMENSION(jpi,jpj) :: zdifpyc_n_sc, zdifpyc_s_sc, zdifpyc_shr |
---|
| 1399 | REAL(wp), DIMENSION(jpi,jpj) :: zvispyc_n_sc, zvispyc_s_sc,zvispyc_shr |
---|
| 1400 | REAL(wp), DIMENSION(jpi,jpj) :: zbeta_d_sc, zbeta_v_sc |
---|
| 1401 | ! |
---|
| 1402 | REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac |
---|
| 1403 | |
---|
| 1404 | REAL(wp), PARAMETER :: rn_dif_ml = 0.8, rn_vis_ml = 0.375 |
---|
| 1405 | REAL(wp), PARAMETER :: rn_dif_pyc = 0.15, rn_vis_pyc = 0.142 |
---|
| 1406 | REAL(wp), PARAMETER :: rn_vispyc_shr = 0.15 |
---|
| 1407 | |
---|
| 1408 | DO jj = 2, jpjm1 |
---|
| 1409 | DO ji = 2, jpim1 |
---|
| 1410 | IF ( lconv(ji,jj) ) THEN |
---|
| 1411 | |
---|
| 1412 | zvel_sc_pyc = ( 0.15 * zvstr(ji,jj)**3 + zwstrc(ji,jj)**3 + 4.25 * zshear(ji,jj) * zhbl(ji,jj) )**pthird |
---|
| 1413 | zvel_sc_ml = ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
---|
| 1414 | zstab_fac = ( zhml(ji,jj) / zvel_sc_ml * ( 1.4 - 0.4 / ( 1.0 + EXP(-3.5 * LOG10(-zhol(ji,jj) ) ) )**1.25 ) )**2 |
---|
| 1415 | |
---|
| 1416 | zdifml_sc(ji,jj) = rn_dif_ml * zhml(ji,jj) * zvel_sc_ml |
---|
| 1417 | zvisml_sc(ji,jj) = rn_vis_ml * zdifml_sc(ji,jj) |
---|
| 1418 | |
---|
| 1419 | IF ( lpyc(ji,jj) ) THEN |
---|
| 1420 | zdifpyc_n_sc(ji,jj) = rn_dif_pyc * zvel_sc_ml * zdh(ji,jj) |
---|
| 1421 | |
---|
| 1422 | IF ( lshear(ji,jj) .AND. j_ddh(ji,jj) /= 2 ) THEN |
---|
| 1423 | zdifpyc_n_sc(ji,jj) = zdifpyc_n_sc(ji,jj) + rn_vispyc_shr * ( zshear(ji,jj) * zhbl(ji,jj) )**pthird * zhbl(ji,jj) |
---|
| 1424 | ENDIF |
---|
| 1425 | |
---|
| 1426 | zdifpyc_s_sc(ji,jj) = zwb_ent(ji,jj) + 0.0025 * zvel_sc_pyc * ( zhbl(ji,jj) / zdh(ji,jj) - 1.0 ) * ( zb_ml(ji,jj) - zb_bl(ji,jj) ) |
---|
| 1427 | zdifpyc_s_sc(ji,jj) = 0.09 * zdifpyc_s_sc(ji,jj) * zstab_fac |
---|
| 1428 | zdifpyc_s_sc(ji,jj) = MAX( zdifpyc_s_sc(ji,jj), -0.5 * zdifpyc_n_sc(ji,jj) ) |
---|
| 1429 | |
---|
| 1430 | zvispyc_n_sc(ji,jj) = 0.09 * zvel_sc_pyc * ( 1.0 - zhbl(ji,jj) / zdh(ji,jj) )**2 * ( 0.005 * ( zu_ml(ji,jj)-zu_bl(ji,jj) )**2 + 0.0075 * ( zv_ml(ji,jj)-zv_bl(ji,jj) )**2 ) / zdh(ji,jj) |
---|
| 1431 | zvispyc_n_sc(ji,jj) = rn_vis_pyc * zvel_sc_ml * zdh(ji,jj) + zvispyc_n_sc(ji,jj) * zstab_fac |
---|
| 1432 | IF ( lshear(ji,jj) .AND. j_ddh(ji,jj) /= 2 ) THEN |
---|
| 1433 | zvispyc_n_sc(ji,jj) = zvispyc_n_sc(ji,jj) + rn_vispyc_shr * ( zshear(ji,jj) * zhbl(ji,jj ) )**pthird * zhbl(ji,jj) |
---|
| 1434 | ENDIF |
---|
| 1435 | |
---|
| 1436 | zvispyc_s_sc(ji,jj) = 0.09 * ( zwb_min(ji,jj) + 0.0025 * zvel_sc_pyc * ( zhbl(ji,jj) / zdh(ji,jj) - 1.0 ) * ( zb_ml(ji,jj) - zb_bl(ji,jj) ) ) |
---|
| 1437 | zvispyc_s_sc(ji,jj) = zvispyc_s_sc(ji,jj) * zstab_fac |
---|
| 1438 | zvispyc_s_sc(ji,jj) = MAX( zvispyc_s_sc(ji,jj), -0.5 * zvispyc_n_sc(ji,jj) ) |
---|
| 1439 | |
---|
| 1440 | zbeta_d_sc(ji,jj) = 1.0 - ( ( zdifpyc_n_sc(ji,jj) + 1.4 * zdifpyc_s_sc(ji,jj) ) / ( zdifml_sc(ji,jj) + epsln ) )**p2third |
---|
| 1441 | zbeta_v_sc(ji,jj) = 1.0 - 2.0 * ( zvispyc_n_sc(ji,jj) + zvispyc_s_sc(ji,jj) ) / ( zvisml_sc(ji,jj) + epsln ) |
---|
| 1442 | ELSE |
---|
| 1443 | zbeta_d_sc(ji,jj) = 1.0 |
---|
| 1444 | zbeta_v_sc(ji,jj) = 1.0 |
---|
| 1445 | ENDIF |
---|
| 1446 | ELSE |
---|
| 1447 | zdifml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
| 1448 | zvisml_sc(ji,jj) = zvstr(ji,jj) * zhbl(ji,jj) * MAX( EXP ( -( zhol(ji,jj) / 0.6_wp )**2 ), 0.2_wp) |
---|
| 1449 | END IF |
---|
| 1450 | END DO |
---|
| 1451 | END DO |
---|
| 1452 | ! |
---|
| 1453 | DO jj = 2, jpjm1 |
---|
| 1454 | DO ji = 2, jpim1 |
---|
| 1455 | IF ( lconv(ji,jj) ) THEN |
---|
| 1456 | DO jk = 2, imld(ji,jj) ! mixed layer diffusivity |
---|
| 1457 | zznd_ml = gdepw_n(ji,jj,jk) / zhml(ji,jj) |
---|
| 1458 | ! |
---|
| 1459 | zdiffut(ji,jj,jk) = zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_d_sc(ji,jj) * zznd_ml )**1.5 |
---|
| 1460 | ! |
---|
| 1461 | zviscos(ji,jj,jk) = zvisml_sc(ji,jj) * zznd_ml * ( 1.0 - zbeta_v_sc(ji,jj) * zznd_ml ) & |
---|
| 1462 | & * ( 1.0 - 0.5 * zznd_ml**2 ) |
---|
| 1463 | END DO |
---|
| 1464 | ! pycnocline |
---|
| 1465 | IF ( lpyc(ji,jj) ) THEN |
---|
| 1466 | ! Diffusivity profile in the pycnocline given by cubic polynomial. |
---|
| 1467 | za_cubic = 0.5 |
---|
| 1468 | zb_cubic = -1.75 * zdifpyc_s_sc(ji,jj) / zdifpyc_n_sc(ji,jj) |
---|
| 1469 | zd_cubic = ( zdh(ji,jj) * zdifml_sc(ji,jj) / zhml(ji,jj) * SQRT( 1.0 - zbeta_d_sc(ji,jj) ) * ( 2.5 * zbeta_d_sc(ji,jj) - 1.0 ) & |
---|
| 1470 | & - 0.85 * zdifpyc_s_sc(ji,jj) ) / MAX(zdifpyc_n_sc(ji,jj), 1.e-8) |
---|
| 1471 | zd_cubic = zd_cubic - zb_cubic - 2.0 * ( 1.0 - za_cubic - zb_cubic ) |
---|
| 1472 | zc_cubic = 1.0 - za_cubic - zb_cubic - zd_cubic |
---|
| 1473 | DO jk = imld(ji,jj) , ibld(ji,jj) |
---|
| 1474 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / MAX(zdh(ji,jj), 1.e-6) |
---|
| 1475 | ! |
---|
| 1476 | zdiffut(ji,jj,jk) = zdifpyc_n_sc(ji,jj) * ( za_cubic + zb_cubic * zznd_pyc + zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
---|
| 1477 | |
---|
| 1478 | zdiffut(ji,jj,jk) = zdiffut(ji,jj,jk) + zdifpyc_s_sc(ji,jj) * ( 1.75 * zznd_pyc - 0.15 * zznd_pyc**2 - 0.2 * zznd_pyc**3 ) |
---|
| 1479 | END DO |
---|
| 1480 | ! viscosity profiles. |
---|
| 1481 | za_cubic = 0.5 |
---|
| 1482 | zb_cubic = -1.75 * zvispyc_s_sc(ji,jj) / zvispyc_n_sc(ji,jj) |
---|
| 1483 | zd_cubic = ( 0.5 * zvisml_sc(ji,jj) * zdh(ji,jj) / zhml(ji,jj) - 0.85 * zvispyc_s_sc(ji,jj) ) / MAX(zvispyc_n_sc(ji,jj), 1.e-8) |
---|
| 1484 | zd_cubic = zd_cubic - zb_cubic - 2.0 * ( 1.0 - za_cubic - zb_cubic ) |
---|
| 1485 | zc_cubic = 1.0 - za_cubic - zb_cubic - zd_cubic |
---|
| 1486 | DO jk = imld(ji,jj) , ibld(ji,jj) |
---|
| 1487 | zznd_pyc = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / MAX(zdh(ji,jj), 1.e-6) |
---|
| 1488 | zviscos(ji,jj,jk) = zvispyc_n_sc(ji,jj) * ( za_cubic + zb_cubic * zznd_pyc + zc_cubic * zznd_pyc**2 + zd_cubic * zznd_pyc**3 ) |
---|
| 1489 | zviscos(ji,jj,jk) = zviscos(ji,jj,jk) + zvispyc_s_sc(ji,jj) * ( 1.75 * zznd_pyc - 0.15 * zznd_pyc**2 -0.2 * zznd_pyc**3 ) |
---|
| 1490 | END DO |
---|
| 1491 | IF ( zdhdt(ji,jj) > 0._wp ) THEN |
---|
| 1492 | zdiffut(ji,jj,ibld(ji,jj)+1) = MAX( 0.5 * zdhdt(ji,jj) * e3w_n(ji,jj,ibld(ji,jj)+1), 1.0e-6 ) |
---|
| 1493 | zviscos(ji,jj,ibld(ji,jj)+1) = MAX( 0.5 * zdhdt(ji,jj) * e3w_n(ji,jj,ibld(ji,jj)+1), 1.0e-6 ) |
---|
| 1494 | ELSE |
---|
| 1495 | zdiffut(ji,jj,ibld(ji,jj)) = 0._wp |
---|
| 1496 | zviscos(ji,jj,ibld(ji,jj)) = 0._wp |
---|
| 1497 | ENDIF |
---|
| 1498 | ENDIF |
---|
| 1499 | ELSE |
---|
| 1500 | ! stable conditions |
---|
| 1501 | DO jk = 2, ibld(ji,jj) |
---|
| 1502 | zznd_ml = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
| 1503 | zdiffut(ji,jj,jk) = 0.75 * zdifml_sc(ji,jj) * zznd_ml * ( 1.0 - zznd_ml )**1.5 |
---|
| 1504 | zviscos(ji,jj,jk) = 0.375 * zvisml_sc(ji,jj) * zznd_ml * (1.0 - zznd_ml) * ( 1.0 - zznd_ml**2 ) |
---|
| 1505 | END DO |
---|
| 1506 | |
---|
| 1507 | IF ( zdhdt(ji,jj) > 0._wp ) THEN |
---|
| 1508 | zdiffut(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 1.0e-6) * e3w_n(ji, jj, ibld(ji,jj)) |
---|
| 1509 | zviscos(ji,jj,ibld(ji,jj)) = MAX(zdhdt(ji,jj), 1.0e-6) * e3w_n(ji, jj, ibld(ji,jj)) |
---|
| 1510 | ENDIF |
---|
| 1511 | ENDIF ! end if ( lconv ) |
---|
| 1512 | ! |
---|
| 1513 | END DO ! end of ji loop |
---|
| 1514 | END DO ! end of jj loop |
---|
| 1515 | |
---|
| 1516 | END SUBROUTINE zdf_osm_diffusivity_viscosity |
---|
| 1517 | |
---|
| 1518 | SUBROUTINE zdf_osm_osbl_state( lconv, lshear, j_ddh, zwb_ent, zwb_min, zshear ) |
---|
| 1519 | |
---|
| 1520 | !!--------------------------------------------------------------------- |
---|
| 1521 | !! *** ROUTINE zdf_osm_osbl_state *** |
---|
| 1522 | !! |
---|
| 1523 | !! ** Purpose : Determines the state of the OSBL, stable/unstable, shear/ noshear. Also determines shear production, entrainment buoyancy flux and interfacial Richardson number |
---|
| 1524 | !! |
---|
| 1525 | !! ** Method : |
---|
| 1526 | !! |
---|
| 1527 | !! !!---------------------------------------------------------------------- |
---|
| 1528 | |
---|
| 1529 | INTEGER, DIMENSION(jpi,jpj) :: j_ddh ! j_ddh = 0, active shear layer; j_ddh=1, shear layer not active; j_ddh=2 shear production low. |
---|
| 1530 | |
---|
| 1531 | LOGICAL, DIMENSION(jpi,jpj) :: lconv, lshear |
---|
| 1532 | |
---|
| 1533 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_ent, zwb_min ! Buoyancy fluxes at base of well-mixed layer. |
---|
| 1534 | REAL(wp), DIMENSION(jpi,jpj) :: zshear ! production of TKE due to shear across the pycnocline |
---|
| 1535 | |
---|
| 1536 | ! Local Variables |
---|
| 1537 | |
---|
| 1538 | INTEGER :: jj, ji |
---|
| 1539 | |
---|
| 1540 | REAL(wp), DIMENSION(jpi,jpj) :: zekman |
---|
| 1541 | REAL(wp), DIMENSION(jpi,jpj) :: zri_p, zri_b ! Richardson numbers |
---|
| 1542 | REAL(wp) :: zshear_u, zshear_v, zwb_shr |
---|
| 1543 | REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes |
---|
| 1544 | |
---|
| 1545 | REAL, PARAMETER :: za_shr = 0.4, zb_shr = 6.5, za_wb_s = 0.8 |
---|
| 1546 | REAL, PARAMETER :: zalpha_c = 0.2, zalpha_lc = 0.03 |
---|
| 1547 | REAL, PARAMETER :: zalpha_ls = 0.06, zalpha_s = 0.15 |
---|
| 1548 | REAL, PARAMETER :: rn_ri_p_thresh = 27.0 |
---|
| 1549 | REAL, PARAMETER :: zri_c = 0.25 |
---|
| 1550 | REAL, PARAMETER :: zek = 4.0 |
---|
| 1551 | REAL, PARAMETER :: zrot=0._wp ! dummy rotation rate of surface stress. |
---|
| 1552 | |
---|
| 1553 | ! Determins stability and set flag lconv |
---|
| 1554 | DO jj = 2, jpjm1 |
---|
| 1555 | DO ji = 2, jpim1 |
---|
| 1556 | IF ( zhol(ji,jj) < 0._wp ) THEN |
---|
| 1557 | lconv(ji,jj) = .TRUE. |
---|
| 1558 | ELSE |
---|
| 1559 | lconv(ji,jj) = .FALSE. |
---|
| 1560 | ENDIF |
---|
| 1561 | END DO |
---|
| 1562 | END DO |
---|
| 1563 | |
---|
| 1564 | zekman(:,:) = EXP( - zek * ABS( ff_t(:,:) ) * zhbl(:,:) / MAX(zustar(:,:), 1.e-8 ) ) |
---|
| 1565 | |
---|
| 1566 | zshear(:,:) = 0._wp |
---|
| 1567 | j_ddh(:,:) = 1 |
---|
| 1568 | |
---|
| 1569 | DO jj = 2, jpjm1 |
---|
| 1570 | DO ji = 2, jpim1 |
---|
| 1571 | IF ( lconv(ji,jj) ) THEN |
---|
| 1572 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
| 1573 | zri_p(ji,jj) = MAX ( SQRT( zdb_bl(ji,jj) * zdh(ji,jj) / MAX( zdu_bl(ji,jj)**2 + zdv_bl(ji,jj)**2, 1.e-8) ) * ( zhbl(ji,jj) / zdh(ji,jj) ) * ( zvstr(ji,jj) / MAX( zustar(ji,jj), 1.e-6 ) )**2 & |
---|
| 1574 | & / MAX( zekman(ji,jj), 1.e-6 ) , 5._wp ) |
---|
| 1575 | |
---|
| 1576 | IF ( ff_t(ji,jj) >= 0._wp ) THEN |
---|
| 1577 | ! Northern Hemisphere |
---|
| 1578 | zri_b(ji,jj) = zdb_ml(ji,jj) * zdh(ji,jj) / ( MAX( zdu_ml(ji,jj), 1.e-5 )**2 + MAX( -zdv_ml(ji,jj), 1.e-5)**2 ) |
---|
| 1579 | ELSE |
---|
| 1580 | ! Southern Hemisphere |
---|
| 1581 | zri_b(ji,jj) = zdb_ml(ji,jj) * zdh(ji,jj) / ( MAX( zdu_ml(ji,jj), 1.e-5 )**2 + MAX( zdv_ml(ji,jj), 1.e-5)**2 ) |
---|
| 1582 | ENDIF |
---|
| 1583 | zshear(ji,jj) = za_shr * zekman(ji,jj) * ( MAX( zustar(ji,jj)**2 * zdu_ml(ji,jj) / zhbl(ji,jj), 0._wp ) + zb_shr * MAX( -ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) * zdv_ml(ji,jj) / zhbl(ji,jj), 0._wp ) ) |
---|
| 1584 | ! Stability Dependence |
---|
| 1585 | zshear(ji,jj) = zshear(ji,jj) * EXP( -0.75 * MAX(0._wp,( zri_b(ji,jj) - zri_c ) / zri_c ) ) |
---|
| 1586 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 1587 | ! Test ensures j_ddh=0 is not selected. Change to zri_p<27 when ! |
---|
| 1588 | ! full code available ! |
---|
| 1589 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 1590 | IF ( zshear(ji,jj) > 1.e-10 ) THEN |
---|
| 1591 | IF ( zri_p(ji,jj) < rn_ri_p_thresh ) THEN |
---|
| 1592 | ! Growing shear layer |
---|
| 1593 | j_ddh(ji,jj) = 0 |
---|
| 1594 | lshear(ji,jj) = .TRUE. |
---|
| 1595 | ELSE |
---|
| 1596 | j_ddh(ji,jj) = 1 |
---|
| 1597 | ! IF ( zri_b <= 1.5 .and. zshear(ji,jj) > 0._wp ) THEN |
---|
| 1598 | ! shear production large enough to determine layer charcteristics, but can't maintain a shear layer. |
---|
| 1599 | lshear(ji,jj) = .TRUE. |
---|
| 1600 | ! ELSE |
---|
| 1601 | ENDIF |
---|
| 1602 | ELSE |
---|
| 1603 | j_ddh(ji,jj) = 2 |
---|
| 1604 | lshear(ji,jj) = .FALSE. |
---|
| 1605 | ENDIF |
---|
| 1606 | ! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline. |
---|
| 1607 | ! zshear(ji,jj) = 0.5 * zshear(ji,jj) |
---|
| 1608 | ! lshear(ji,jj) = .FALSE. |
---|
| 1609 | ! ENDIF |
---|
| 1610 | ELSE ! zdb_bl test, note zshear set to zero |
---|
| 1611 | j_ddh(ji,jj) = 2 |
---|
| 1612 | lshear(ji,jj) = .FALSE. |
---|
| 1613 | ENDIF |
---|
| 1614 | ENDIF |
---|
| 1615 | END DO |
---|
| 1616 | END DO |
---|
| 1617 | |
---|
| 1618 | ! Calculate entrainment buoyancy flux due to surface fluxes. |
---|
| 1619 | |
---|
| 1620 | DO jj = 2, jpjm1 |
---|
| 1621 | DO ji = 2, jpim1 |
---|
| 1622 | IF ( lconv(ji,jj) ) THEN |
---|
| 1623 | zwcor = ABS(ff_t(ji,jj)) * zhbl(ji,jj) + epsln |
---|
| 1624 | zrf_conv = TANH( ( zwstrc(ji,jj) / zwcor )**0.69 ) |
---|
| 1625 | zrf_shear = TANH( ( zustar(ji,jj) / zwcor )**0.69 ) |
---|
| 1626 | zrf_langmuir = TANH( ( zwstrl(ji,jj) / zwcor )**0.69 ) |
---|
| 1627 | IF (nn_osm_SD_reduce > 0 ) THEN |
---|
| 1628 | ! Effective Stokes drift already reduced from surface value |
---|
| 1629 | zr_stokes = 1.0_wp |
---|
| 1630 | ELSE |
---|
| 1631 | ! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd, |
---|
| 1632 | ! requires further reduction where BL is deep |
---|
| 1633 | zr_stokes = 1.0 - EXP( -25.0 * dstokes(ji,jj) / hbl(ji,jj) & |
---|
| 1634 | & * ( 1.0 + 4.0 * dstokes(ji,jj) / hbl(ji,jj) ) ) |
---|
| 1635 | END IF |
---|
| 1636 | zwb_ent(ji,jj) = - 2.0 * zalpha_c * zrf_conv * zwbav(ji,jj) & |
---|
| 1637 | & - zalpha_s * zrf_shear * zustar(ji,jj)**3 /zhml(ji,jj) & |
---|
| 1638 | & + zr_stokes * ( zalpha_s * EXP( -1.5 * zla(ji,jj) ) * zrf_shear * zustar(ji,jj)**3 & |
---|
| 1639 | & - zrf_langmuir * zalpha_lc * zwstrl(ji,jj)**3 ) / zhml(ji,jj) |
---|
| 1640 | ! |
---|
| 1641 | ENDIF |
---|
| 1642 | END DO ! ji loop |
---|
| 1643 | END DO ! jj loop |
---|
| 1644 | |
---|
| 1645 | zwb_min(:,:) = 0._wp |
---|
| 1646 | |
---|
| 1647 | DO jj = 2, jpjm1 |
---|
| 1648 | DO ji = 2, jpim1 |
---|
| 1649 | IF ( lshear(ji,jj) ) THEN |
---|
| 1650 | IF ( lconv(ji,jj) ) THEN |
---|
| 1651 | ! Unstable OSBL |
---|
| 1652 | zwb_shr = -za_wb_s * zri_b(ji,jj) * zshear(ji,jj) |
---|
| 1653 | IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
| 1654 | |
---|
| 1655 | ! ! Developing shear layer, additional shear production possible. |
---|
| 1656 | |
---|
| 1657 | ! zshear_u = MAX( zustar(ji,jj)**2 * MAX( zdu_ml(ji,jj), 0._wp ) / zhbl(ji,jj), 0._wp ) |
---|
| 1658 | ! zshear(ji,jj) = zshear(ji,jj) + zshear_u * ( 1.0 - MIN( zri_p(ji,jj) / rn_ri_p_thresh, 1.d0 )**2 ) |
---|
| 1659 | ! zshear(ji,jj) = MIN( zshear(ji,jj), zshear_u ) |
---|
| 1660 | |
---|
| 1661 | ! zwb_shr = zwb_shr - 0.25 * MAX ( zshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / rn_ri_p_thresh, 1._wp )**2 ) |
---|
| 1662 | ! zwb_shr = MAX( zwb_shr, -0.25 * zshear_u ) |
---|
| 1663 | |
---|
| 1664 | ENDIF |
---|
| 1665 | zwb_ent(ji,jj) = zwb_ent(ji,jj) + zwb_shr |
---|
| 1666 | ! zwb_min(ji,jj) = zwb_ent(ji,jj) + zdh(ji,jj) / zhbl(ji,jj) * zwb0(ji,jj) |
---|
| 1667 | ELSE ! IF ( lconv ) THEN - ENDIF |
---|
| 1668 | ! Stable OSBL - shear production not coded for first attempt. |
---|
| 1669 | ENDIF ! lconv |
---|
| 1670 | ENDIF ! lshear |
---|
| 1671 | IF ( lconv(ji,jj) ) THEN |
---|
| 1672 | ! Unstable OSBL |
---|
| 1673 | zwb_min(ji,jj) = zwb_ent(ji,jj) + zdh(ji,jj) / zhbl(ji,jj) * zwb0tot(ji,jj) |
---|
| 1674 | ENDIF ! lconv |
---|
| 1675 | END DO ! ji |
---|
| 1676 | END DO ! jj |
---|
| 1677 | END SUBROUTINE zdf_osm_osbl_state |
---|
| 1678 | |
---|
| 1679 | |
---|
| 1680 | SUBROUTINE zdf_osm_vertical_average( jnlev_av, jp_ext, zt, zs, zb, zu, zv, zdt, zds, zdb, zdu, zdv ) |
---|
[13402] | 1681 | !!--------------------------------------------------------------------- |
---|
| 1682 | !! *** ROUTINE zdf_vertical_average *** |
---|
| 1683 | !! |
---|
| 1684 | !! ** Purpose : Determines vertical averages from surface to jnlev. |
---|
| 1685 | !! |
---|
| 1686 | !! ** Method : Averages are calculated from the surface to jnlev. |
---|
| 1687 | !! The external level used to calculate differences is ibld+ibld_ext |
---|
| 1688 | !! |
---|
| 1689 | !!---------------------------------------------------------------------- |
---|
| 1690 | |
---|
| 1691 | INTEGER, DIMENSION(jpi,jpj) :: jnlev_av ! Number of levels to average over. |
---|
[14413] | 1692 | INTEGER, DIMENSION(jpi,jpj) :: jp_ext |
---|
[13402] | 1693 | |
---|
| 1694 | ! Alan: do we need zb? |
---|
[14413] | 1695 | REAL(wp), DIMENSION(jpi,jpj) :: zt, zs, zb ! Average temperature and salinity |
---|
[13402] | 1696 | REAL(wp), DIMENSION(jpi,jpj) :: zu,zv ! Average current components |
---|
| 1697 | REAL(wp), DIMENSION(jpi,jpj) :: zdt, zds, zdb ! Difference between average and value at base of OSBL |
---|
| 1698 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Difference for velocity components. |
---|
| 1699 | |
---|
[14413] | 1700 | INTEGER :: jk, ji, jj, ibld_ext |
---|
[13402] | 1701 | REAL(wp) :: zthick, zthermal, zbeta |
---|
| 1702 | |
---|
| 1703 | |
---|
| 1704 | zt = 0._wp |
---|
| 1705 | zs = 0._wp |
---|
| 1706 | zu = 0._wp |
---|
| 1707 | zv = 0._wp |
---|
| 1708 | DO jj = 2, jpjm1 ! Vertical slab |
---|
| 1709 | DO ji = 2, jpim1 |
---|
| 1710 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
---|
| 1711 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 1712 | ! average over depth of boundary layer |
---|
| 1713 | zthick = epsln |
---|
| 1714 | DO jk = 2, jnlev_av(ji,jj) |
---|
| 1715 | zthick = zthick + e3t_n(ji,jj,jk) |
---|
| 1716 | zt(ji,jj) = zt(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_tem) |
---|
| 1717 | zs(ji,jj) = zs(ji,jj) + e3t_n(ji,jj,jk) * tsn(ji,jj,jk,jp_sal) |
---|
| 1718 | zu(ji,jj) = zu(ji,jj) + e3t_n(ji,jj,jk) & |
---|
| 1719 | & * ( ub(ji,jj,jk) + ub(ji - 1,jj,jk) ) & |
---|
| 1720 | & / MAX( 1. , umask(ji,jj,jk) + umask(ji - 1,jj,jk) ) |
---|
| 1721 | zv(ji,jj) = zv(ji,jj) + e3t_n(ji,jj,jk) & |
---|
| 1722 | & * ( vb(ji,jj,jk) + vb(ji,jj - 1,jk) ) & |
---|
| 1723 | & / MAX( 1. , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) ) |
---|
| 1724 | END DO |
---|
| 1725 | zt(ji,jj) = zt(ji,jj) / zthick |
---|
| 1726 | zs(ji,jj) = zs(ji,jj) / zthick |
---|
| 1727 | zu(ji,jj) = zu(ji,jj) / zthick |
---|
| 1728 | zv(ji,jj) = zv(ji,jj) / zthick |
---|
[14413] | 1729 | zb(ji,jj) = grav * zthermal * zt(ji,jj) - grav * zbeta * zs(ji,jj) |
---|
| 1730 | ibld_ext = jnlev_av(ji,jj) + jp_ext(ji,jj) |
---|
| 1731 | IF ( ibld_ext < mbkt(ji,jj) ) THEN |
---|
| 1732 | zdt(ji,jj) = zt(ji,jj) - tsn(ji,jj,ibld_ext,jp_tem) |
---|
| 1733 | zds(ji,jj) = zs(ji,jj) - tsn(ji,jj,ibld_ext,jp_sal) |
---|
| 1734 | zdu(ji,jj) = zu(ji,jj) - ( ub(ji,jj,ibld_ext) + ub(ji-1,jj,ibld_ext ) ) & |
---|
| 1735 | & / MAX(1. , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) ) |
---|
| 1736 | zdv(ji,jj) = zv(ji,jj) - ( vb(ji,jj,ibld_ext) + vb(ji,jj-1,ibld_ext ) ) & |
---|
| 1737 | & / MAX(1. , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) ) |
---|
| 1738 | zdb(ji,jj) = grav * zthermal * zdt(ji,jj) - grav * zbeta * zds(ji,jj) |
---|
| 1739 | ELSE |
---|
| 1740 | zdt(ji,jj) = 0._wp |
---|
| 1741 | zds(ji,jj) = 0._wp |
---|
| 1742 | zdu(ji,jj) = 0._wp |
---|
| 1743 | zdv(ji,jj) = 0._wp |
---|
| 1744 | zdb(ji,jj) = 0._wp |
---|
| 1745 | ENDIF |
---|
[13402] | 1746 | END DO |
---|
| 1747 | END DO |
---|
| 1748 | END SUBROUTINE zdf_osm_vertical_average |
---|
| 1749 | |
---|
| 1750 | SUBROUTINE zdf_osm_velocity_rotation( zcos_w, zsin_w, zu, zv, zdu, zdv ) |
---|
| 1751 | !!--------------------------------------------------------------------- |
---|
| 1752 | !! *** ROUTINE zdf_velocity_rotation *** |
---|
| 1753 | !! |
---|
| 1754 | !! ** Purpose : Rotates frame of reference of averaged velocity components. |
---|
| 1755 | !! |
---|
| 1756 | !! ** Method : The velocity components are rotated into frame specified by zcos_w and zsin_w |
---|
| 1757 | !! |
---|
| 1758 | !!---------------------------------------------------------------------- |
---|
| 1759 | |
---|
| 1760 | REAL(wp), DIMENSION(jpi,jpj) :: zcos_w, zsin_w ! Cos and Sin of rotation angle |
---|
| 1761 | REAL(wp), DIMENSION(jpi,jpj) :: zu, zv ! Components of current |
---|
| 1762 | REAL(wp), DIMENSION(jpi,jpj) :: zdu, zdv ! Change in velocity components across pycnocline |
---|
| 1763 | |
---|
| 1764 | INTEGER :: ji, jj |
---|
| 1765 | REAL(wp) :: ztemp |
---|
| 1766 | |
---|
| 1767 | DO jj = 2, jpjm1 |
---|
| 1768 | DO ji = 2, jpim1 |
---|
| 1769 | ztemp = zu(ji,jj) |
---|
| 1770 | zu(ji,jj) = zu(ji,jj) * zcos_w(ji,jj) + zv(ji,jj) * zsin_w(ji,jj) |
---|
| 1771 | zv(ji,jj) = zv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
---|
| 1772 | ztemp = zdu(ji,jj) |
---|
| 1773 | zdu(ji,jj) = zdu(ji,jj) * zcos_w(ji,jj) + zdv(ji,jj) * zsin_w(ji,jj) |
---|
[14413] | 1774 | zdv(ji,jj) = zdv(ji,jj) * zcos_w(ji,jj) - ztemp * zsin_w(ji,jj) |
---|
[13402] | 1775 | END DO |
---|
| 1776 | END DO |
---|
| 1777 | END SUBROUTINE zdf_osm_velocity_rotation |
---|
| 1778 | |
---|
[14413] | 1779 | SUBROUTINE zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) |
---|
[13402] | 1780 | !!--------------------------------------------------------------------- |
---|
[14413] | 1781 | !! *** ROUTINE zdf_osm_osbl_state_fk *** |
---|
| 1782 | !! |
---|
| 1783 | !! ** Purpose : Determines the state of the OSBL and MLE layer. Info is returned in the logicals lpyc,lflux and lmle. Used with Fox-Kemper scheme. |
---|
| 1784 | !! lpyc :: determines whether pycnocline flux-grad relationship needs to be determined |
---|
| 1785 | !! lflux :: determines whether effects of surface flux extend below the base of the OSBL |
---|
| 1786 | !! lmle :: determines whether the layer with MLE is increasing with time or if base is relaxing towards hbl. |
---|
| 1787 | !! |
---|
| 1788 | !! ** Method : |
---|
| 1789 | !! |
---|
| 1790 | !! |
---|
| 1791 | !!---------------------------------------------------------------------- |
---|
| 1792 | |
---|
| 1793 | ! Outputs |
---|
| 1794 | LOGICAL, DIMENSION(jpi,jpj) :: lpyc, lflux, lmle |
---|
| 1795 | REAL(wp), DIMENSION(jpi,jpj) :: zwb_fk |
---|
| 1796 | ! |
---|
| 1797 | REAL(wp), DIMENSION(jpi,jpj) :: znd_param |
---|
| 1798 | REAL(wp) :: zbuoy, ztmp, zpe_mle_layer |
---|
| 1799 | REAL(wp) :: zpe_mle_ref, zdbdz_mle_int |
---|
| 1800 | |
---|
| 1801 | znd_param(:,:) = 0._wp |
---|
| 1802 | |
---|
| 1803 | DO jj = 2, jpjm1 |
---|
| 1804 | DO ji = 2, jpim1 |
---|
| 1805 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
| 1806 | zwb_fk(ji,jj) = rn_osm_mle_ce * hmle(ji,jj) * hmle(ji,jj) * ztmp * zdbds_mle(ji,jj) * zdbds_mle(ji,jj) |
---|
| 1807 | END DO |
---|
| 1808 | END DO |
---|
| 1809 | DO jj = 2, jpjm1 |
---|
| 1810 | DO ji = 2, jpim1 |
---|
| 1811 | ! |
---|
| 1812 | IF ( lconv(ji,jj) ) THEN |
---|
| 1813 | IF ( zhmle(ji,jj) > 1.2 * zhbl(ji,jj) ) THEN |
---|
| 1814 | zt_mle(ji,jj) = ( zt_mle(ji,jj) * zhmle(ji,jj) - zt_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
| 1815 | zs_mle(ji,jj) = ( zs_mle(ji,jj) * zhmle(ji,jj) - zs_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
| 1816 | zb_mle(ji,jj) = ( zb_mle(ji,jj) * zhmle(ji,jj) - zb_bl(ji,jj) * zhbl(ji,jj) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
| 1817 | zdbdz_mle_int = ( zb_bl(ji,jj) - ( 2.0 * zb_mle(ji,jj) -zb_bl(ji,jj) ) ) / ( zhmle(ji,jj) - zhbl(ji,jj) ) |
---|
| 1818 | ! Calculate potential energies of actual profile and reference profile. |
---|
| 1819 | zpe_mle_layer = 0._wp |
---|
| 1820 | zpe_mle_ref = 0._wp |
---|
| 1821 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 1822 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 1823 | |
---|
| 1824 | DO jk = ibld(ji,jj), mld_prof(ji,jj) |
---|
| 1825 | zbuoy = grav * ( zthermal * tsn(ji,jj,jk,jp_tem) - zbeta * tsn(ji,jj,jk,jp_sal) ) |
---|
| 1826 | zpe_mle_layer = zpe_mle_layer + zbuoy * gdepw_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
---|
| 1827 | zpe_mle_ref = zpe_mle_ref + ( zb_bl(ji,jj) - zdbdz_mle_int * ( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) ) * gdepw_n(ji,jj,jk) * e3w_n(ji,jj,jk) |
---|
| 1828 | END DO |
---|
| 1829 | ! Non-dimensional parameter to diagnose the presence of thermocline |
---|
| 1830 | |
---|
| 1831 | znd_param(ji,jj) = ( zpe_mle_layer - zpe_mle_ref ) * ABS( ff_t(ji,jj) ) / ( MAX( zwb_fk(ji,jj), 1.0e-10 ) * zhmle(ji,jj) ) |
---|
| 1832 | ENDIF |
---|
| 1833 | ENDIF |
---|
| 1834 | END DO |
---|
| 1835 | END DO |
---|
| 1836 | |
---|
| 1837 | ! Diagnosis |
---|
| 1838 | DO jj = 2, jpjm1 |
---|
| 1839 | DO ji = 2, jpim1 |
---|
| 1840 | IF ( lconv(ji,jj) ) THEN |
---|
| 1841 | IF ( -2.0 * zwb_fk(ji,jj) / zwb_ent(ji,jj) > 0.5 ) THEN |
---|
| 1842 | IF ( zhmle(ji,jj) > 1.2 * zhbl(ji,jj) ) THEN |
---|
| 1843 | ! MLE layer growing |
---|
| 1844 | IF ( znd_param (ji,jj) > 100. ) THEN |
---|
| 1845 | ! Thermocline present |
---|
| 1846 | lflux(ji,jj) = .FALSE. |
---|
| 1847 | lmle(ji,jj) =.FALSE. |
---|
| 1848 | ELSE |
---|
| 1849 | ! Thermocline not present |
---|
| 1850 | lflux(ji,jj) = .TRUE. |
---|
| 1851 | lmle(ji,jj) = .TRUE. |
---|
| 1852 | ENDIF ! znd_param > 100 |
---|
| 1853 | ! |
---|
| 1854 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
| 1855 | lpyc(ji,jj) = .FALSE. |
---|
| 1856 | ELSE |
---|
| 1857 | lpyc(ji,jj) = .TRUE. |
---|
| 1858 | ENDIF |
---|
| 1859 | ELSE |
---|
| 1860 | ! MLE layer restricted to OSBL or just below. |
---|
| 1861 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) THEN |
---|
| 1862 | ! Weak stratification MLE layer can grow. |
---|
| 1863 | lpyc(ji,jj) = .FALSE. |
---|
| 1864 | lflux(ji,jj) = .TRUE. |
---|
| 1865 | lmle(ji,jj) = .TRUE. |
---|
| 1866 | ELSE |
---|
| 1867 | ! Strong stratification |
---|
| 1868 | lpyc(ji,jj) = .TRUE. |
---|
| 1869 | lflux(ji,jj) = .FALSE. |
---|
| 1870 | lmle(ji,jj) = .FALSE. |
---|
| 1871 | ENDIF ! zdb_bl < rn_mle_thresh_bl and |
---|
| 1872 | ENDIF ! zhmle > 1.2 zhbl |
---|
| 1873 | ELSE |
---|
| 1874 | lpyc(ji,jj) = .TRUE. |
---|
| 1875 | lflux(ji,jj) = .FALSE. |
---|
| 1876 | lmle(ji,jj) = .FALSE. |
---|
| 1877 | IF ( zdb_bl(ji,jj) < rn_osm_bl_thresh ) lpyc(ji,jj) = .FALSE. |
---|
| 1878 | ENDIF ! -2.0 * zwb_fk(ji,jj) / zwb_ent > 0.5 |
---|
| 1879 | ELSE |
---|
| 1880 | ! Stable Boundary Layer |
---|
| 1881 | lpyc(ji,jj) = .FALSE. |
---|
| 1882 | lflux(ji,jj) = .FALSE. |
---|
| 1883 | lmle(ji,jj) = .FALSE. |
---|
| 1884 | ENDIF ! lconv |
---|
| 1885 | END DO |
---|
| 1886 | END DO |
---|
| 1887 | END SUBROUTINE zdf_osm_osbl_state_fk |
---|
| 1888 | |
---|
| 1889 | SUBROUTINE zdf_osm_external_gradients(jbase, zdtdz, zdsdz, zdbdz ) |
---|
| 1890 | !!--------------------------------------------------------------------- |
---|
[13402] | 1891 | !! *** ROUTINE zdf_osm_external_gradients *** |
---|
| 1892 | !! |
---|
| 1893 | !! ** Purpose : Calculates the gradients below the OSBL |
---|
| 1894 | !! |
---|
| 1895 | !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient. |
---|
| 1896 | !! |
---|
| 1897 | !!---------------------------------------------------------------------- |
---|
| 1898 | |
---|
[14413] | 1899 | INTEGER, DIMENSION(jpi,jpj) :: jbase |
---|
[13402] | 1900 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdz, zdsdz, zdbdz ! External gradients of temperature, salinity and buoyancy. |
---|
| 1901 | |
---|
| 1902 | INTEGER :: jj, ji, jkb, jkb1 |
---|
| 1903 | REAL(wp) :: zthermal, zbeta |
---|
| 1904 | |
---|
| 1905 | |
---|
| 1906 | DO jj = 2, jpjm1 |
---|
| 1907 | DO ji = 2, jpim1 |
---|
[14413] | 1908 | IF ( jbase(ji,jj)+1 < mbkt(ji,jj) ) THEN |
---|
[13402] | 1909 | zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1?? |
---|
| 1910 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
[14413] | 1911 | jkb = jbase(ji,jj) |
---|
[13402] | 1912 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
---|
| 1913 | zdtdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_tem) - tsn(ji,jj,jkb,jp_tem ) ) & |
---|
[14413] | 1914 | & / e3t_n(ji,jj,jkb) |
---|
[13402] | 1915 | zdsdz(ji,jj) = - ( tsn(ji,jj,jkb1,jp_sal) - tsn(ji,jj,jkb,jp_sal ) ) & |
---|
[14413] | 1916 | & / e3t_n(ji,jj,jkb) |
---|
[13402] | 1917 | zdbdz(ji,jj) = grav * zthermal * zdtdz(ji,jj) - grav * zbeta * zdsdz(ji,jj) |
---|
[14413] | 1918 | ELSE |
---|
| 1919 | zdtdz(ji,jj) = 0._wp |
---|
| 1920 | zdsdz(ji,jj) = 0._wp |
---|
| 1921 | zdbdz(ji,jj) = 0._wp |
---|
[13402] | 1922 | END IF |
---|
| 1923 | END DO |
---|
| 1924 | END DO |
---|
| 1925 | END SUBROUTINE zdf_osm_external_gradients |
---|
| 1926 | |
---|
[14413] | 1927 | SUBROUTINE zdf_osm_pycnocline_scalar_profiles( zdtdz, zdsdz, zdbdz, zalpha ) |
---|
[13402] | 1928 | |
---|
| 1929 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdtdz, zdsdz, zdbdz ! gradients in the pycnocline |
---|
[14413] | 1930 | REAL(wp), DIMENSION(jpi,jpj) :: zalpha |
---|
[13402] | 1931 | |
---|
| 1932 | INTEGER :: jk, jj, ji |
---|
| 1933 | REAL(wp) :: ztgrad, zsgrad, zbgrad |
---|
[14413] | 1934 | REAL(wp) :: zgamma_b_nd, znd |
---|
| 1935 | REAL(wp) :: zzeta_m, zzeta_en, zbuoy_pyc_sc |
---|
| 1936 | REAL(wp), PARAMETER :: zgamma_b = 2.25, zzeta_sh = 0.15 |
---|
[13402] | 1937 | |
---|
| 1938 | DO jj = 2, jpjm1 |
---|
| 1939 | DO ji = 2, jpim1 |
---|
[14413] | 1940 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
[13402] | 1941 | IF ( lconv(ji,jj) ) THEN ! convective conditions |
---|
[14413] | 1942 | IF ( lpyc(ji,jj) ) THEN |
---|
| 1943 | zzeta_m = 0.1 + 0.3 / ( 1.0 + EXP( -3.5 * LOG10( -zhol(ji,jj) ) ) ) |
---|
| 1944 | zalpha(ji,jj) = 2.0 * ( 1.0 - ( 0.80 * zzeta_m + 0.5 * SQRT( 3.14159 / zgamma_b ) ) * zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / zdb_ml(ji,jj) ) / ( 0.723 + SQRT( 3.14159 / zgamma_b ) ) |
---|
| 1945 | zalpha(ji,jj) = MAX( zalpha(ji,jj), 0._wp ) |
---|
| 1946 | |
---|
| 1947 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
---|
| 1948 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 1949 | ! Commented lines in this section are not needed in new code, once tested ! |
---|
| 1950 | ! can be removed ! |
---|
| 1951 | !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! |
---|
| 1952 | ! ztgrad = zalpha * zdt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj) |
---|
| 1953 | ! zsgrad = zalpha * zds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj) |
---|
| 1954 | zbgrad = zalpha(ji,jj) * zdb_ml(ji,jj) * ztmp + zdbdz_bl_ext(ji,jj) |
---|
| 1955 | zgamma_b_nd = zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / MAX(zdb_ml(ji,jj), epsln) |
---|
| 1956 | DO jk = 2, ibld(ji,jj) |
---|
| 1957 | znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) * ztmp |
---|
| 1958 | IF ( znd <= zzeta_m ) THEN |
---|
| 1959 | ! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * zdt_ml(ji,jj) * ztmp * & |
---|
| 1960 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
| 1961 | ! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * zds_ml(ji,jj) * ztmp * & |
---|
| 1962 | ! & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
| 1963 | zdbdz(ji,jj,jk) = zdbdz_bl_ext(ji,jj) + zalpha(ji,jj) * zdb_ml(ji,jj) * ztmp * & |
---|
| 1964 | & EXP( -6.0 * ( znd -zzeta_m )**2 ) |
---|
| 1965 | ELSE |
---|
| 1966 | ! zdtdz(ji,jj,jk) = ztgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
---|
| 1967 | ! zdsdz(ji,jj,jk) = zsgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
---|
| 1968 | zdbdz(ji,jj,jk) = zbgrad * EXP( -zgamma_b * ( znd - zzeta_m )**2 ) |
---|
| 1969 | ENDIF |
---|
| 1970 | END DO |
---|
| 1971 | ENDIF ! if no pycnocline pycnocline gradients set to zero |
---|
[13402] | 1972 | ELSE |
---|
| 1973 | ! stable conditions |
---|
| 1974 | ! if pycnocline profile only defined when depth steady of increasing. |
---|
[14413] | 1975 | IF ( zdhdt(ji,jj) > 0.0 ) THEN ! Depth increasing, or steady. |
---|
[13402] | 1976 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
| 1977 | IF ( zhol(ji,jj) >= 0.5 ) THEN ! Very stable - 'thick' pycnocline |
---|
| 1978 | ztmp = 1._wp/MAX(zhbl(ji,jj), epsln) |
---|
| 1979 | ztgrad = zdt_bl(ji,jj) * ztmp |
---|
| 1980 | zsgrad = zds_bl(ji,jj) * ztmp |
---|
| 1981 | zbgrad = zdb_bl(ji,jj) * ztmp |
---|
| 1982 | DO jk = 2, ibld(ji,jj) |
---|
| 1983 | znd = gdepw_n(ji,jj,jk) * ztmp |
---|
| 1984 | zdtdz(ji,jj,jk) = ztgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
| 1985 | zdbdz(ji,jj,jk) = zbgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
| 1986 | zdsdz(ji,jj,jk) = zsgrad * EXP( -15.0 * ( znd - 0.9 )**2 ) |
---|
| 1987 | END DO |
---|
| 1988 | ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form. |
---|
| 1989 | ztmp = 1._wp/MAX(zdh(ji,jj), epsln) |
---|
| 1990 | ztgrad = zdt_bl(ji,jj) * ztmp |
---|
| 1991 | zsgrad = zds_bl(ji,jj) * ztmp |
---|
| 1992 | zbgrad = zdb_bl(ji,jj) * ztmp |
---|
| 1993 | DO jk = 2, ibld(ji,jj) |
---|
| 1994 | znd = -( gdepw_n(ji,jj,jk) - zhml(ji,jj) ) * ztmp |
---|
| 1995 | zdtdz(ji,jj,jk) = ztgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
| 1996 | zdbdz(ji,jj,jk) = zbgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
| 1997 | zdsdz(ji,jj,jk) = zsgrad * EXP( -1.75 * ( znd + 0.75 )**2 ) |
---|
| 1998 | END DO |
---|
| 1999 | ENDIF ! IF (zhol >=0.5) |
---|
| 2000 | ENDIF ! IF (zdb_bl> 0.) |
---|
| 2001 | ENDIF ! IF (zdhdt >= 0) zdhdt < 0 not considered since pycnocline profile is zero and profile arrays are intialized to zero |
---|
| 2002 | ENDIF ! IF (lconv) |
---|
[14413] | 2003 | ENDIF ! IF ( ibld(ji,jj) < mbkt(ji,jj) ) |
---|
[13402] | 2004 | END DO |
---|
| 2005 | END DO |
---|
| 2006 | |
---|
| 2007 | END SUBROUTINE zdf_osm_pycnocline_scalar_profiles |
---|
| 2008 | |
---|
| 2009 | SUBROUTINE zdf_osm_pycnocline_shear_profiles( zdudz, zdvdz ) |
---|
| 2010 | !!--------------------------------------------------------------------- |
---|
| 2011 | !! *** ROUTINE zdf_osm_pycnocline_shear_profiles *** |
---|
| 2012 | !! |
---|
| 2013 | !! ** Purpose : Calculates velocity shear in the pycnocline |
---|
| 2014 | !! |
---|
| 2015 | !! ** Method : |
---|
| 2016 | !! |
---|
| 2017 | !!---------------------------------------------------------------------- |
---|
| 2018 | |
---|
| 2019 | REAL(wp), DIMENSION(jpi,jpj,jpk) :: zdudz, zdvdz |
---|
| 2020 | |
---|
| 2021 | INTEGER :: jk, jj, ji |
---|
| 2022 | REAL(wp) :: zugrad, zvgrad, znd |
---|
| 2023 | REAL(wp) :: zzeta_v = 0.45 |
---|
[8946] | 2024 | ! |
---|
[13402] | 2025 | DO jj = 2, jpjm1 |
---|
| 2026 | DO ji = 2, jpim1 |
---|
| 2027 | ! |
---|
[14413] | 2028 | IF ( ibld(ji,jj) + jp_ext(ji,jj) < mbkt(ji,jj) ) THEN |
---|
[13402] | 2029 | IF ( lconv (ji,jj) ) THEN |
---|
[14413] | 2030 | ! Unstable conditions. Shouldn;t be needed with no pycnocline code. |
---|
| 2031 | ! zugrad = 0.7 * zdu_ml(ji,jj) / zdh(ji,jj) + 0.3 * zustar(ji,jj)*zustar(ji,jj) / & |
---|
| 2032 | ! & ( ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * zhml(ji,jj) ) * & |
---|
| 2033 | ! & MIN(zla(ji,jj)**(8.0/3.0) + epsln, 0.12 )) |
---|
[13402] | 2034 | !Alan is this right? |
---|
[14413] | 2035 | ! zvgrad = ( 0.7 * zdv_ml(ji,jj) + & |
---|
| 2036 | ! & 2.0 * ff_t(ji,jj) * zustke(ji,jj) * dstokes(ji,jj) / & |
---|
| 2037 | ! & ( ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird + epsln ) & |
---|
| 2038 | ! & )/ (zdh(ji,jj) + epsln ) |
---|
| 2039 | ! DO jk = 2, ibld(ji,jj) - 1 + ibld_ext |
---|
| 2040 | ! znd = -( gdepw_n(ji,jj,jk) - zhbl(ji,jj) ) / (zdh(ji,jj) + epsln ) - zzeta_v |
---|
| 2041 | ! IF ( znd <= 0.0 ) THEN |
---|
| 2042 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( 3.0 * znd ) |
---|
| 2043 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( 3.0 * znd ) |
---|
| 2044 | ! ELSE |
---|
| 2045 | ! zdudz(ji,jj,jk) = 1.25 * zugrad * EXP( -2.0 * znd ) |
---|
| 2046 | ! zdvdz(ji,jj,jk) = 1.25 * zvgrad * EXP( -2.0 * znd ) |
---|
| 2047 | ! ENDIF |
---|
| 2048 | ! END DO |
---|
[13402] | 2049 | ELSE |
---|
| 2050 | ! stable conditions |
---|
| 2051 | zugrad = 3.25 * zdu_bl(ji,jj) / zhbl(ji,jj) |
---|
| 2052 | zvgrad = 2.75 * zdv_bl(ji,jj) / zhbl(ji,jj) |
---|
| 2053 | DO jk = 2, ibld(ji,jj) |
---|
| 2054 | znd = gdepw_n(ji,jj,jk) / zhbl(ji,jj) |
---|
| 2055 | IF ( znd < 1.0 ) THEN |
---|
| 2056 | zdudz(ji,jj,jk) = zugrad * EXP( -40.0 * ( znd - 1.0 )**2 ) |
---|
| 2057 | ELSE |
---|
| 2058 | zdudz(ji,jj,jk) = zugrad * EXP( -20.0 * ( znd - 1.0 )**2 ) |
---|
| 2059 | ENDIF |
---|
| 2060 | zdvdz(ji,jj,jk) = zvgrad * EXP( -20.0 * ( znd - 0.85 )**2 ) |
---|
| 2061 | END DO |
---|
| 2062 | ENDIF |
---|
| 2063 | ! |
---|
| 2064 | END IF ! IF ( ibld(ji,jj) + ibld_ext < mbkt(ji,jj) ) |
---|
| 2065 | END DO |
---|
| 2066 | END DO |
---|
| 2067 | END SUBROUTINE zdf_osm_pycnocline_shear_profiles |
---|
[8930] | 2068 | |
---|
[14413] | 2069 | SUBROUTINE zdf_osm_calculate_dhdt( zdhdt ) |
---|
[13402] | 2070 | !!--------------------------------------------------------------------- |
---|
| 2071 | !! *** ROUTINE zdf_osm_calculate_dhdt *** |
---|
| 2072 | !! |
---|
| 2073 | !! ** Purpose : Calculates the rate at which hbl changes. |
---|
| 2074 | !! |
---|
| 2075 | !! ** Method : |
---|
| 2076 | !! |
---|
| 2077 | !!---------------------------------------------------------------------- |
---|
[8946] | 2078 | |
---|
[14413] | 2079 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! Rate of change of hbl |
---|
[13402] | 2080 | |
---|
| 2081 | INTEGER :: jj, ji |
---|
[14413] | 2082 | REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi |
---|
| 2083 | REAL(wp) :: zvel_max,zddhdt |
---|
| 2084 | REAL(wp), PARAMETER :: zzeta_m = 0.3 |
---|
| 2085 | REAL(wp), PARAMETER :: zgamma_c = 2.0 |
---|
| 2086 | REAL(wp), PARAMETER :: zdhoh = 0.1 |
---|
| 2087 | REAL(wp), PARAMETER :: zalpha_b = 0.3 |
---|
| 2088 | REAL, PARAMETER :: a_ddh = 2.5, a_ddh_2 = 3.5 ! also in pycnocline_depth |
---|
| 2089 | |
---|
| 2090 | DO jj = 2, jpjm1 |
---|
| 2091 | DO ji = 2, jpim1 |
---|
| 2092 | |
---|
| 2093 | IF ( lshear(ji,jj) ) THEN |
---|
| 2094 | IF ( lconv(ji,jj) ) THEN ! Convective |
---|
[13402] | 2095 | |
---|
[14413] | 2096 | IF ( ln_osm_mle ) THEN |
---|
| 2097 | |
---|
| 2098 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
---|
| 2099 | ! Fox-Kemper buoyancy flux average over OSBL |
---|
| 2100 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
---|
| 2101 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
| 2102 | ELSE |
---|
| 2103 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
| 2104 | ENDIF |
---|
| 2105 | zvel_max = ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 2106 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
---|
| 2107 | ! OSBL is deepening, entrainment > restratification |
---|
| 2108 | IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_bl_ext(ji,jj) > 0.0 ) THEN |
---|
| 2109 | zgamma_b_nd = zdbdz_bl_ext(ji,jj) * zdh(ji,jj) / zdb_ml(ji,jj) |
---|
| 2110 | zpsi = -zalpha_pyc(ji,jj) * ( zwb0tot(ji,jj) - ( zwb_min(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) ) * zdh(ji,jj) / zhbl(ji,jj) |
---|
| 2111 | zpsi = zpsi - 4.0 * ( 1.0 + zdh(ji,jj) /zhbl(ji,jj) ) * zgamma_b_nd * ( zwb_min(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) |
---|
| 2112 | zpsi = zalpha_b * MAX ( zpsi, 0._wp ) |
---|
| 2113 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) + zpsi / MAX( zdb_bl(ji,jj), 1.e-15 ) |
---|
| 2114 | IF ( j_ddh(ji,jj) == 1 ) THEN |
---|
| 2115 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN |
---|
| 2116 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
| 2117 | ELSE |
---|
| 2118 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
| 2119 | ENDIF |
---|
| 2120 | ! Relaxation to dh_ref = zari * hbl |
---|
| 2121 | zddhdt = -a_ddh_2 * ( 1.0 - zdh(ji,jj) / ( zari * zhbl(ji,jj) ) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
---|
| 2122 | |
---|
| 2123 | ELSE IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
| 2124 | ! Growing shear layer |
---|
| 2125 | zddhdt = -a_ddh * ( 1.0 - 1.6 * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
---|
| 2126 | zddhdt = EXP( - 4.0 * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(zustar(ji,jj), 1.e-8 ) ) * zddhdt |
---|
| 2127 | ELSE |
---|
| 2128 | zddhdt = 0._wp |
---|
| 2129 | ENDIF ! j_ddh |
---|
| 2130 | zdhdt(ji,jj) = zdhdt(ji,jj) + zalpha_b * ( zalpha_pyc(ji,jj) * zdb_ml(ji,jj) + 2.0 * zdbdz_bl_ext(ji,jj) * zdh(ji,jj) ) * zddhdt / zdb_bl(ji,jj) |
---|
| 2131 | ELSE ! zdb_bl >0 |
---|
| 2132 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
---|
| 2133 | ENDIF |
---|
| 2134 | ELSE ! zwb_min + 2*zwb_fk_b < 0 |
---|
| 2135 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
| 2136 | zdhdt(ji,jj) = - zvel_mle(ji,jj) |
---|
| 2137 | |
---|
| 2138 | |
---|
| 2139 | ENDIF |
---|
| 2140 | |
---|
[13403] | 2141 | ELSE |
---|
[14413] | 2142 | ! Fox-Kemper not used. |
---|
[13402] | 2143 | |
---|
[14413] | 2144 | zvel_max = - ( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
---|
| 2145 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
---|
| 2146 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
| 2147 | ! added ajgn 23 July as temporay fix |
---|
[13402] | 2148 | |
---|
[14413] | 2149 | ENDIF ! ln_osm_mle |
---|
| 2150 | |
---|
| 2151 | ELSE ! lconv - Stable |
---|
| 2152 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
---|
| 2153 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
---|
| 2154 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
| 2155 | zpert = 2.0 * ( 1.0 + 0.0 * 2.0 * zvstr(ji,jj) * rn_rdt / hbl(ji,jj) ) * zvstr(ji,jj)**2 / hbl(ji,jj) |
---|
| 2156 | ELSE |
---|
| 2157 | zpert = MAX( zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
---|
| 2158 | ENDIF |
---|
| 2159 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
---|
| 2160 | ENDIF ! lconv |
---|
| 2161 | ELSE ! lshear |
---|
| 2162 | IF ( lconv(ji,jj) ) THEN ! Convective |
---|
| 2163 | |
---|
[13402] | 2164 | IF ( ln_osm_mle ) THEN |
---|
[14413] | 2165 | |
---|
[13402] | 2166 | IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN |
---|
[14413] | 2167 | ! Fox-Kemper buoyancy flux average over OSBL |
---|
[13402] | 2168 | zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * & |
---|
| 2169 | (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) ) |
---|
| 2170 | ELSE |
---|
| 2171 | zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) |
---|
| 2172 | ENDIF |
---|
| 2173 | zvel_max = ( zwstrl(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 2174 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN |
---|
| 2175 | ! OSBL is deepening, entrainment > restratification |
---|
[14413] | 2176 | IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_bl_ext(ji,jj) > 0.0 ) THEN |
---|
[13402] | 2177 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
| 2178 | ELSE |
---|
| 2179 | zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15) |
---|
| 2180 | ENDIF |
---|
| 2181 | ELSE |
---|
| 2182 | ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) |
---|
| 2183 | zdhdt(ji,jj) = - zvel_mle(ji,jj) |
---|
| 2184 | |
---|
| 2185 | |
---|
| 2186 | ENDIF |
---|
| 2187 | |
---|
| 2188 | ELSE |
---|
| 2189 | ! Fox-Kemper not used. |
---|
| 2190 | |
---|
[14413] | 2191 | zvel_max = -zwb_ent(ji,jj) / & |
---|
[13403] | 2192 | & MAX((zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln) |
---|
[13402] | 2193 | zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) ) |
---|
| 2194 | ! added ajgn 23 July as temporay fix |
---|
| 2195 | |
---|
[14413] | 2196 | ENDIF ! ln_osm_mle |
---|
[13402] | 2197 | |
---|
| 2198 | ELSE ! Stable |
---|
| 2199 | zdhdt(ji,jj) = ( 0.06 + 0.52 * zhol(ji,jj) / 2.0 ) * zvstr(ji,jj)**3 / hbl(ji,jj) + zwbav(ji,jj) |
---|
| 2200 | IF ( zdhdt(ji,jj) < 0._wp ) THEN |
---|
| 2201 | ! For long timsteps factor in brackets slows the rapid collapse of the OSBL |
---|
[14413] | 2202 | zpert = 2.0 * zvstr(ji,jj)**2 / hbl(ji,jj) |
---|
[13402] | 2203 | ELSE |
---|
[14413] | 2204 | zpert = MAX( zvstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) ) |
---|
[13402] | 2205 | ENDIF |
---|
[13403] | 2206 | zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln) |
---|
[14413] | 2207 | ENDIF ! lconv |
---|
| 2208 | ENDIF ! lshear |
---|
| 2209 | END DO |
---|
| 2210 | END DO |
---|
[13402] | 2211 | END SUBROUTINE zdf_osm_calculate_dhdt |
---|
| 2212 | |
---|
[14413] | 2213 | SUBROUTINE zdf_osm_timestep_hbl( zdhdt ) |
---|
[13402] | 2214 | !!--------------------------------------------------------------------- |
---|
| 2215 | !! *** ROUTINE zdf_osm_timestep_hbl *** |
---|
| 2216 | !! |
---|
| 2217 | !! ** Purpose : Increments hbl. |
---|
| 2218 | !! |
---|
| 2219 | !! ** Method : If thechange in hbl exceeds one model level the change is |
---|
| 2220 | !! is calculated by moving down the grid, changing the buoyancy |
---|
| 2221 | !! jump. This is to ensure that the change in hbl does not |
---|
| 2222 | !! overshoot a stable layer. |
---|
| 2223 | !! |
---|
| 2224 | !!---------------------------------------------------------------------- |
---|
| 2225 | |
---|
| 2226 | |
---|
[14413] | 2227 | REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! rates of change of hbl. |
---|
[13402] | 2228 | |
---|
| 2229 | INTEGER :: jk, jj, ji, jm |
---|
| 2230 | REAL(wp) :: zhbl_s, zvel_max, zdb |
---|
| 2231 | REAL(wp) :: zthermal, zbeta |
---|
| 2232 | |
---|
| 2233 | DO jj = 2, jpjm1 |
---|
| 2234 | DO ji = 2, jpim1 |
---|
| 2235 | IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN |
---|
| 2236 | ! |
---|
| 2237 | ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. |
---|
| 2238 | ! |
---|
| 2239 | zhbl_s = hbl(ji,jj) |
---|
| 2240 | jm = imld(ji,jj) |
---|
| 2241 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 2242 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 2243 | |
---|
| 2244 | |
---|
| 2245 | IF ( lconv(ji,jj) ) THEN |
---|
| 2246 | !unstable |
---|
| 2247 | |
---|
| 2248 | IF( ln_osm_mle ) THEN |
---|
| 2249 | zvel_max = ( zwstrl(ji,jj)**3 + zwstrc(ji,jj)**3 )**p2third / hbl(ji,jj) |
---|
| 2250 | ELSE |
---|
| 2251 | |
---|
| 2252 | zvel_max = -( 1.0 + 1.0 * ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird * rn_rdt / hbl(ji,jj) ) * zwb_ent(ji,jj) / & |
---|
| 2253 | & ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird |
---|
| 2254 | |
---|
| 2255 | ENDIF |
---|
| 2256 | |
---|
| 2257 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 2258 | zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) ) & |
---|
| 2259 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ), & |
---|
| 2260 | & 0.0 ) + zvel_max |
---|
| 2261 | |
---|
| 2262 | |
---|
| 2263 | IF ( ln_osm_mle ) THEN |
---|
| 2264 | zhbl_s = zhbl_s + MIN( & |
---|
[14413] | 2265 | & rn_rdt * ( ( -zwb_ent(ji,jj) - 2.0 * zwb_fk_b(ji,jj) )/ zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
---|
[13402] | 2266 | & e3w_n(ji,jj,jm) ) |
---|
| 2267 | ELSE |
---|
| 2268 | zhbl_s = zhbl_s + MIN( & |
---|
[14413] | 2269 | & rn_rdt * ( -zwb_ent(ji,jj) / zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), & |
---|
[13402] | 2270 | & e3w_n(ji,jj,jm) ) |
---|
| 2271 | ENDIF |
---|
| 2272 | |
---|
[14413] | 2273 | ! zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
| 2274 | IF ( zhbl_s >= gdepw_n(ji,jj,mbkt(ji,jj) + 1) ) THEN |
---|
| 2275 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
| 2276 | lpyc(ji,jj) = .FALSE. |
---|
| 2277 | ENDIF |
---|
[13402] | 2278 | IF ( zhbl_s >= gdepw_n(ji,jj,jm+1) ) jm = jm + 1 |
---|
| 2279 | END DO |
---|
| 2280 | hbl(ji,jj) = zhbl_s |
---|
| 2281 | ibld(ji,jj) = jm |
---|
| 2282 | ELSE |
---|
| 2283 | ! stable |
---|
| 2284 | DO jk = imld(ji,jj), ibld(ji,jj) |
---|
| 2285 | zdb = MAX( & |
---|
| 2286 | & grav * ( zthermal * ( zt_bl(ji,jj) - tsn(ji,jj,jm,jp_tem) )& |
---|
| 2287 | & - zbeta * ( zs_bl(ji,jj) - tsn(ji,jj,jm,jp_sal) ) ),& |
---|
| 2288 | & 0.0 ) + & |
---|
| 2289 | & 2.0 * zvstr(ji,jj)**2 / zhbl_s |
---|
| 2290 | |
---|
| 2291 | ! Alan is thuis right? I have simply changed hbli to hbl |
---|
| 2292 | zhol(ji,jj) = -zhbl_s / ( ( zvstr(ji,jj)**3 + epsln )/ zwbav(ji,jj) ) |
---|
| 2293 | zdhdt(ji,jj) = -( zwbav(ji,jj) - 0.04 / 2.0 * zwstrl(ji,jj)**3 / zhbl_s - 0.15 / 2.0 * ( 1.0 - EXP( -1.5 * zla(ji,jj) ) ) * & |
---|
| 2294 | & zustar(ji,jj)**3 / zhbl_s ) * ( 0.725 + 0.225 * EXP( -7.5 * zhol(ji,jj) ) ) |
---|
| 2295 | zdhdt(ji,jj) = zdhdt(ji,jj) + zwbav(ji,jj) |
---|
| 2296 | zhbl_s = zhbl_s + MIN( zdhdt(ji,jj) / zdb * rn_rdt / FLOAT( ibld(ji,jj) - imld(ji,jj) ), e3w_n(ji,jj,jm) ) |
---|
| 2297 | |
---|
[14413] | 2298 | ! zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
| 2299 | IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN |
---|
| 2300 | zhbl_s = MIN(zhbl_s, gdepw_n(ji,jj, mbkt(ji,jj) + 1) - depth_tol) |
---|
| 2301 | lpyc(ji,jj) = .FALSE. |
---|
| 2302 | ENDIF |
---|
[13402] | 2303 | IF ( zhbl_s >= gdepw_n(ji,jj,jm) ) jm = jm + 1 |
---|
| 2304 | END DO |
---|
| 2305 | ENDIF ! IF ( lconv ) |
---|
| 2306 | hbl(ji,jj) = MAX(zhbl_s, gdepw_n(ji,jj,4) ) |
---|
| 2307 | ibld(ji,jj) = MAX(jm, 4 ) |
---|
| 2308 | ELSE |
---|
| 2309 | ! change zero or one model level. |
---|
| 2310 | hbl(ji,jj) = MAX(zhbl_t(ji,jj), gdepw_n(ji,jj,4) ) |
---|
| 2311 | ENDIF |
---|
| 2312 | zhbl(ji,jj) = gdepw_n(ji,jj,ibld(ji,jj)) |
---|
| 2313 | END DO |
---|
| 2314 | END DO |
---|
| 2315 | |
---|
| 2316 | END SUBROUTINE zdf_osm_timestep_hbl |
---|
| 2317 | |
---|
| 2318 | SUBROUTINE zdf_osm_pycnocline_thickness( dh, zdh ) |
---|
| 2319 | !!--------------------------------------------------------------------- |
---|
| 2320 | !! *** ROUTINE zdf_osm_pycnocline_thickness *** |
---|
| 2321 | !! |
---|
| 2322 | !! ** Purpose : Calculates thickness of the pycnocline |
---|
| 2323 | !! |
---|
| 2324 | !! ** Method : The thickness is calculated from a prognostic equation |
---|
| 2325 | !! that relaxes the pycnocine thickness to a diagnostic |
---|
| 2326 | !! value. The time change is calculated assuming the |
---|
| 2327 | !! thickness relaxes exponentially. This is done to deal |
---|
| 2328 | !! with large timesteps. |
---|
| 2329 | !! |
---|
| 2330 | !!---------------------------------------------------------------------- |
---|
| 2331 | |
---|
| 2332 | REAL(wp), DIMENSION(jpi,jpj) :: dh, zdh ! pycnocline thickness. |
---|
[14413] | 2333 | ! |
---|
[13402] | 2334 | INTEGER :: jj, ji |
---|
| 2335 | INTEGER :: inhml |
---|
[14413] | 2336 | REAL(wp) :: zari, ztau, zdh_ref, zddhdt |
---|
| 2337 | REAL, PARAMETER :: a_ddh = 2.5, a_ddh_2 = 3.5 ! also in pycnocline_depth |
---|
[13402] | 2338 | |
---|
[14413] | 2339 | DO jj = 2, jpjm1 |
---|
| 2340 | DO ji = 2, jpim1 |
---|
[13402] | 2341 | |
---|
[14413] | 2342 | IF ( lshear(ji,jj) ) THEN |
---|
[13402] | 2343 | IF ( lconv(ji,jj) ) THEN |
---|
[14413] | 2344 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
| 2345 | IF ( j_ddh(ji,jj) == 0 ) THEN |
---|
| 2346 | ! ddhdt for pycnocline determined in osm_calculate_dhdt |
---|
| 2347 | ! zddhdt = -a_ddh * ( 1.0 - 1.6 * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / zdb_bl(ji,jj) |
---|
| 2348 | ! zddhdt = EXP( - 4.0 * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(zustar(ji,jj), 1.e-8 ) ) * zddhdt |
---|
| 2349 | ! maximum limit for how thick the shear layer can grow relative to the thickness of the boundary kayer |
---|
| 2350 | ! dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_rdt, 0.625 * hbl(ji,jj) ) |
---|
| 2351 | ztau = MAX( zdb_bl(ji,jj) * ( 0.625 * hbl(ji,jj) ) / ( a_ddh * MAX(-zwb_ent(ji,jj), 1.e-12) ), 2.0 * rn_rdt ) |
---|
| 2352 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + 0.625 * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
| 2353 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = 0.8 * zhbl(ji,jj) |
---|
| 2354 | ELSE |
---|
| 2355 | ! Temporary (probably) Recalculate dh_ref to ensure dh doesn't go negative. Can't do this using zddhdt from calculate_dhdt |
---|
| 2356 | IF ( ( zwstrc(ji,jj) / zvstr(ji,jj) )**3 <= 0.5 ) THEN |
---|
| 2357 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
| 2358 | ELSE |
---|
| 2359 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
| 2360 | ENDIF |
---|
| 2361 | ztau = MAX( zdb_bl(ji,jj) * ( zari * hbl(ji,jj) ) / ( a_ddh_2 * MAX(-zwb_ent(ji,jj), 1.e-12) ), 2.0 * rn_rdt ) |
---|
| 2362 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zari * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
| 2363 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * zhbl(ji,jj) |
---|
| 2364 | ENDIF |
---|
| 2365 | ELSE |
---|
| 2366 | ztau = MAX( MAX( hbl(ji,jj) / ( zvstr(ji,jj)**3 + 0.5 * zwstrc(ji,jj)**3 )**pthird, epsln), 2.0 * rn_rdt ) |
---|
| 2367 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + 0.2 * zhbl(ji,jj) * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
| 2368 | IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2 * hbl(ji,jj) |
---|
| 2369 | ENDIF |
---|
| 2370 | ELSE ! lconv |
---|
| 2371 | ! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL |
---|
[13402] | 2372 | |
---|
[14413] | 2373 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
---|
| 2374 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
---|
| 2375 | ! boundary layer deepening |
---|
| 2376 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
| 2377 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
| 2378 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
---|
| 2379 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
---|
| 2380 | zdh_ref = MIN( zari, 0.2 ) * hbl(ji,jj) |
---|
| 2381 | ELSE |
---|
| 2382 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
| 2383 | ENDIF |
---|
| 2384 | ELSE ! IF(dhdt < 0) |
---|
| 2385 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
| 2386 | ENDIF ! IF (dhdt >= 0) |
---|
| 2387 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
| 2388 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! can be a problem with dh>hbl for rapid collapse |
---|
| 2389 | ! Alan: this hml is never defined or used -- do we need it? |
---|
| 2390 | ENDIF |
---|
| 2391 | |
---|
| 2392 | ELSE ! lshear |
---|
| 2393 | ! for lshear = .FALSE. calculate ddhdt here |
---|
| 2394 | |
---|
| 2395 | IF ( lconv(ji,jj) ) THEN |
---|
| 2396 | |
---|
[13402] | 2397 | IF( ln_osm_mle ) THEN |
---|
[14413] | 2398 | IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0._wp ) THEN |
---|
[13402] | 2399 | ! OSBL is deepening. Note wb_fk_b is zero if ln_osm_mle=F |
---|
[14413] | 2400 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_bl_ext(ji,jj) > 0._wp)THEN |
---|
[13403] | 2401 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
---|
[14413] | 2402 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
[13402] | 2403 | ELSE ! unstable |
---|
[14413] | 2404 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
[13402] | 2405 | ENDIF |
---|
[13403] | 2406 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
[14413] | 2407 | zdh_ref = zari * hbl(ji,jj) |
---|
[13402] | 2408 | ELSE |
---|
[13403] | 2409 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
[14413] | 2410 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
[13402] | 2411 | ENDIF |
---|
| 2412 | ELSE |
---|
[13403] | 2413 | ztau = 0.2 * hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
[14413] | 2414 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
[13402] | 2415 | ENDIF |
---|
| 2416 | ELSE ! ln_osm_mle |
---|
[14413] | 2417 | IF ( zdb_bl(ji,jj) > 0._wp .and. zdbdz_bl_ext(ji,jj) > 0._wp)THEN |
---|
[13403] | 2418 | IF ( ( zwstrc(ji,jj) / MAX(zvstr(ji,jj), epsln) )**3 <= 0.5 ) THEN ! near neutral stability |
---|
[14413] | 2419 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zvstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
[13402] | 2420 | ELSE ! unstable |
---|
[14413] | 2421 | zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * zwstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 ) |
---|
[13402] | 2422 | ENDIF |
---|
[13403] | 2423 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
[14413] | 2424 | zdh_ref = zari * hbl(ji,jj) |
---|
[13402] | 2425 | ELSE |
---|
[13403] | 2426 | ztau = hbl(ji,jj) / MAX(epsln, (zvstr(ji,jj)**3 + 0.5 *zwstrc(ji,jj)**3)**pthird) |
---|
[14413] | 2427 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
[13402] | 2428 | ENDIF |
---|
| 2429 | |
---|
| 2430 | END IF ! ln_osm_mle |
---|
| 2431 | |
---|
[14413] | 2432 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau ) + zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
| 2433 | ! IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
| 2434 | IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref |
---|
[13402] | 2435 | ! Alan: this hml is never defined or used |
---|
| 2436 | ELSE ! IF (lconv) |
---|
[13403] | 2437 | ztau = hbl(ji,jj) / MAX(zvstr(ji,jj), epsln) |
---|
[13402] | 2438 | IF ( zdhdt(ji,jj) >= 0.0 ) THEN ! probably shouldn't include wm here |
---|
| 2439 | ! boundary layer deepening |
---|
| 2440 | IF ( zdb_bl(ji,jj) > 0._wp ) THEN |
---|
| 2441 | ! pycnocline thickness set by stratification - use same relationship as for neutral conditions. |
---|
| 2442 | zari = MIN( 4.5 * ( zvstr(ji,jj)**2 ) & |
---|
[13403] | 2443 | & / MAX(zdb_bl(ji,jj) * zhbl(ji,jj), epsln ) + 0.01 , 0.2 ) |
---|
[14413] | 2444 | zdh_ref = MIN( zari, 0.2 ) * hbl(ji,jj) |
---|
[13402] | 2445 | ELSE |
---|
[14413] | 2446 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
[13402] | 2447 | ENDIF |
---|
| 2448 | ELSE ! IF(dhdt < 0) |
---|
[14413] | 2449 | zdh_ref = 0.2 * hbl(ji,jj) |
---|
[13402] | 2450 | ENDIF ! IF (dhdt >= 0) |
---|
[14413] | 2451 | dh(ji,jj) = dh(ji,jj) * EXP( -rn_rdt / ztau )+ zdh_ref * ( 1.0 - EXP( -rn_rdt / ztau ) ) |
---|
| 2452 | IF ( zdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! can be a problem with dh>hbl for rapid collapse |
---|
[13402] | 2453 | ENDIF ! IF (lconv) |
---|
[14413] | 2454 | ENDIF ! lshear |
---|
| 2455 | |
---|
| 2456 | hml(ji,jj) = hbl(ji,jj) - dh(ji,jj) |
---|
| 2457 | inhml = MAX( INT( dh(ji,jj) / MAX(e3t_n(ji,jj,ibld(ji,jj)), 1.e-3) ) , 1 ) |
---|
| 2458 | imld(ji,jj) = MAX( ibld(ji,jj) - inhml, 3) |
---|
| 2459 | zhml(ji,jj) = gdepw_n(ji,jj,imld(ji,jj)) |
---|
| 2460 | zdh(ji,jj) = zhbl(ji,jj) - zhml(ji,jj) |
---|
| 2461 | END DO |
---|
| 2462 | END DO |
---|
[13402] | 2463 | |
---|
| 2464 | END SUBROUTINE zdf_osm_pycnocline_thickness |
---|
| 2465 | |
---|
| 2466 | |
---|
[14413] | 2467 | SUBROUTINE zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) |
---|
[13402] | 2468 | !!---------------------------------------------------------------------- |
---|
| 2469 | !! *** ROUTINE zdf_osm_horizontal_gradients *** |
---|
| 2470 | !! |
---|
| 2471 | !! ** Purpose : Calculates horizontal gradients of buoyancy for use with Fox-Kemper parametrization. |
---|
| 2472 | !! |
---|
| 2473 | !! ** Method : |
---|
| 2474 | !! |
---|
| 2475 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
| 2476 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
| 2477 | |
---|
| 2478 | |
---|
| 2479 | REAL(wp), DIMENSION(jpi,jpj) :: dbdx_mle, dbdy_mle ! MLE horiz gradients at u & v points |
---|
[14413] | 2480 | REAL(wp), DIMENSION(jpi,jpj) :: zdbds_mle ! Magnitude of horizontal buoyancy gradient. |
---|
[13402] | 2481 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
---|
| 2482 | REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy |
---|
| 2483 | |
---|
| 2484 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 2485 | INTEGER :: ii, ij, ik, ikmax ! local integers |
---|
| 2486 | REAL(wp) :: zc |
---|
| 2487 | REAL(wp) :: zN2_c ! local buoyancy difference from 10m value |
---|
| 2488 | REAL(wp), DIMENSION(jpi,jpj) :: ztm, zsm, zLf_NH, zLf_MH |
---|
| 2489 | REAL(wp), DIMENSION(jpi,jpj,jpts):: ztsm_midu, ztsm_midv, zabu, zabv |
---|
| 2490 | REAL(wp), DIMENSION(jpi,jpj) :: zmld_midu, zmld_midv |
---|
| 2491 | !!---------------------------------------------------------------------- |
---|
| 2492 | ! |
---|
| 2493 | ! !== MLD used for MLE ==! |
---|
| 2494 | |
---|
| 2495 | mld_prof(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
| 2496 | zmld(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
---|
| 2497 | zN2_c = grav * rn_osm_mle_rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
---|
| 2498 | DO jk = nlb10, jpkm1 |
---|
[13403] | 2499 | DO jj = 1, jpj ! Mixed layer level: w-level |
---|
[13402] | 2500 | DO ji = 1, jpi |
---|
| 2501 | ikt = mbkt(ji,jj) |
---|
| 2502 | zmld(ji,jj) = zmld(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
---|
| 2503 | IF( zmld(ji,jj) < zN2_c ) mld_prof(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
| 2504 | END DO |
---|
| 2505 | END DO |
---|
| 2506 | END DO |
---|
| 2507 | DO jj = 1, jpj |
---|
| 2508 | DO ji = 1, jpi |
---|
| 2509 | mld_prof(ji,jj) = MAX(mld_prof(ji,jj),ibld(ji,jj)) |
---|
| 2510 | zmld(ji,jj) = gdepw_n(ji,jj,mld_prof(ji,jj)) |
---|
| 2511 | END DO |
---|
| 2512 | END DO |
---|
| 2513 | ! ensure mld_prof .ge. ibld |
---|
| 2514 | ! |
---|
| 2515 | ikmax = MIN( MAXVAL( mld_prof(:,:) ), jpkm1 ) ! max level of the computation |
---|
| 2516 | ! |
---|
| 2517 | ztm(:,:) = 0._wp |
---|
| 2518 | zsm(:,:) = 0._wp |
---|
| 2519 | DO jk = 1, ikmax ! MLD and mean buoyancy and N2 over the mixed layer |
---|
| 2520 | DO jj = 1, jpj |
---|
| 2521 | DO ji = 1, jpi |
---|
| 2522 | zc = e3t_n(ji,jj,jk) * REAL( MIN( MAX( 0, mld_prof(ji,jj)-jk ) , 1 ) ) ! zc being 0 outside the ML t-points |
---|
| 2523 | ztm(ji,jj) = ztm(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) |
---|
| 2524 | zsm(ji,jj) = zsm(ji,jj) + zc * tsn(ji,jj,jk,jp_sal) |
---|
| 2525 | END DO |
---|
| 2526 | END DO |
---|
| 2527 | END DO |
---|
| 2528 | ! average temperature and salinity. |
---|
| 2529 | ztm(:,:) = ztm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
---|
| 2530 | zsm(:,:) = zsm(:,:) / MAX( e3t_n(:,:,1), zmld(:,:) ) |
---|
| 2531 | ! calculate horizontal gradients at u & v points |
---|
| 2532 | |
---|
| 2533 | DO jj = 2, jpjm1 |
---|
| 2534 | DO ji = 1, jpim1 |
---|
| 2535 | zdtdx(ji,jj) = ( ztm(ji+1,jj) - ztm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
| 2536 | zdsdx(ji,jj) = ( zsm(ji+1,jj) - zsm( ji,jj) ) * umask(ji,jj,1) / e1u(ji,jj) |
---|
| 2537 | zmld_midu(ji,jj) = 0.25_wp * (zmld(ji+1,jj) + zmld( ji,jj)) |
---|
| 2538 | ztsm_midu(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji+1,jj) + ztm( ji,jj) ) |
---|
| 2539 | ztsm_midu(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji+1,jj) + zsm( ji,jj) ) |
---|
| 2540 | END DO |
---|
| 2541 | END DO |
---|
| 2542 | |
---|
| 2543 | DO jj = 1, jpjm1 |
---|
| 2544 | DO ji = 2, jpim1 |
---|
| 2545 | zdtdy(ji,jj) = ( ztm(ji,jj+1) - ztm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
| 2546 | zdsdy(ji,jj) = ( zsm(ji,jj+1) - zsm( ji,jj) ) * vmask(ji,jj,1) / e1v(ji,jj) |
---|
| 2547 | zmld_midv(ji,jj) = 0.25_wp * (zmld(ji,jj+1) + zmld( ji,jj)) |
---|
| 2548 | ztsm_midv(ji,jj,jp_tem) = 0.5_wp * ( ztm(ji,jj+1) + ztm( ji,jj) ) |
---|
| 2549 | ztsm_midv(ji,jj,jp_sal) = 0.5_wp * ( zsm(ji,jj+1) + zsm( ji,jj) ) |
---|
| 2550 | END DO |
---|
| 2551 | END DO |
---|
| 2552 | |
---|
[14413] | 2553 | ! ensure salinity > 0 in unset values so EOS doesn't give FP error with fpe0 on |
---|
| 2554 | ztsm_midu(:,jpj,jp_sal) = 10. |
---|
| 2555 | ztsm_midv(jpi,:,jp_sal) = 10. |
---|
| 2556 | |
---|
[13402] | 2557 | CALL eos_rab(ztsm_midu, zmld_midu, zabu) |
---|
| 2558 | CALL eos_rab(ztsm_midv, zmld_midv, zabv) |
---|
| 2559 | |
---|
| 2560 | DO jj = 2, jpjm1 |
---|
| 2561 | DO ji = 1, jpim1 |
---|
| 2562 | dbdx_mle(ji,jj) = grav*(zdtdx(ji,jj)*zabu(ji,jj,jp_tem) - zdsdx(ji,jj)*zabu(ji,jj,jp_sal)) |
---|
| 2563 | END DO |
---|
| 2564 | END DO |
---|
| 2565 | DO jj = 1, jpjm1 |
---|
| 2566 | DO ji = 2, jpim1 |
---|
| 2567 | dbdy_mle(ji,jj) = grav*(zdtdy(ji,jj)*zabv(ji,jj,jp_tem) - zdsdy(ji,jj)*zabv(ji,jj,jp_sal)) |
---|
| 2568 | END DO |
---|
| 2569 | END DO |
---|
| 2570 | |
---|
[14413] | 2571 | DO jj = 2, jpjm1 |
---|
| 2572 | DO ji = 2, jpim1 |
---|
| 2573 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
| 2574 | zdbds_mle(ji,jj) = SQRT( 0.5_wp * ( dbdx_mle(ji,jj) * dbdx_mle(ji,jj) + dbdy_mle(ji,jj) * dbdy_mle(ji,jj) & |
---|
| 2575 | & + dbdx_mle(ji-1,jj) * dbdx_mle(ji-1,jj) + dbdy_mle(ji,jj-1) * dbdy_mle(ji,jj-1) ) ) |
---|
| 2576 | END DO |
---|
| 2577 | END DO |
---|
| 2578 | |
---|
[13402] | 2579 | END SUBROUTINE zdf_osm_zmld_horizontal_gradients |
---|
[14413] | 2580 | SUBROUTINE zdf_osm_mle_parameters( zmld, mld_prof, hmle, zhmle, zvel_mle, zdiff_mle ) |
---|
[13402] | 2581 | !!---------------------------------------------------------------------- |
---|
| 2582 | !! *** ROUTINE zdf_osm_mle_parameters *** |
---|
| 2583 | !! |
---|
| 2584 | !! ** Purpose : Timesteps the mixed layer eddy depth, hmle and calculates the mixed layer eddy fluxes for buoyancy, heat and salinity. |
---|
| 2585 | !! |
---|
| 2586 | !! ** Method : |
---|
| 2587 | !! |
---|
| 2588 | !! References: Fox-Kemper et al., JPO, 38, 1145-1165, 2008 |
---|
| 2589 | !! Fox-Kemper and Ferrari, JPO, 38, 1166-1179, 2008 |
---|
| 2590 | |
---|
[14413] | 2591 | REAL(wp), DIMENSION(jpi,jpj) :: zmld ! == estimated FK BLD used for MLE horiz gradients == ! |
---|
| 2592 | INTEGER, DIMENSION(jpi,jpj) :: mld_prof |
---|
| 2593 | REAL(wp), DIMENSION(jpi,jpj) :: hmle, zhmle, zwb_fk, zvel_mle, zdiff_mle |
---|
[13402] | 2594 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[14413] | 2595 | INTEGER :: ii, ij, ik, jkb, jkb1 ! local integers |
---|
[13402] | 2596 | INTEGER , DIMENSION(jpi,jpj) :: inml_mle |
---|
[14413] | 2597 | REAL(wp) :: ztmp, zdbdz, zdtdz, zdsdz, zthermal,zbeta, zbuoy, zdb_mle |
---|
[13402] | 2598 | |
---|
[14413] | 2599 | ! Calculate vertical buoyancy, heat and salinity fluxes due to MLE. |
---|
| 2600 | |
---|
| 2601 | DO jj = 2, jpjm1 |
---|
| 2602 | DO ji = 2, jpim1 |
---|
| 2603 | IF ( lconv(ji,jj) ) THEN |
---|
| 2604 | ztmp = r1_ft(ji,jj) * MIN( 111.e3_wp , e1u(ji,jj) ) / rn_osm_mle_lf |
---|
| 2605 | ! This velocity scale, defined in Fox-Kemper et al (2008), is needed for calculating dhdt. |
---|
| 2606 | zvel_mle(ji,jj) = zdbds_mle(ji,jj) * ztmp * hmle(ji,jj) * tmask(ji,jj,1) |
---|
| 2607 | zdiff_mle(ji,jj) = 5.e-4_wp * rn_osm_mle_ce * ztmp * zdbds_mle(ji,jj) * zhmle(ji,jj)**2 |
---|
| 2608 | ENDIF |
---|
[13402] | 2609 | END DO |
---|
| 2610 | END DO |
---|
| 2611 | ! Timestep mixed layer eddy depth. |
---|
| 2612 | DO jj = 2, jpjm1 |
---|
| 2613 | DO ji = 2, jpim1 |
---|
[14413] | 2614 | IF ( lmle(ji,jj) ) THEN ! MLE layer growing. |
---|
| 2615 | ! Buoyancy gradient at base of MLE layer. |
---|
| 2616 | zthermal = rab_n(ji,jj,1,jp_tem) |
---|
| 2617 | zbeta = rab_n(ji,jj,1,jp_sal) |
---|
| 2618 | jkb = mld_prof(ji,jj) |
---|
| 2619 | jkb1 = MIN(jkb + 1, mbkt(ji,jj)) |
---|
| 2620 | ! |
---|
| 2621 | zbuoy = grav * ( zthermal * tsn(ji,jj,mld_prof(ji,jj)+2,jp_tem) - zbeta * tsn(ji,jj,mld_prof(ji,jj)+2,jp_sal) ) |
---|
| 2622 | zdb_mle = zb_bl(ji,jj) - zbuoy |
---|
| 2623 | ! Timestep hmle. |
---|
| 2624 | hmle(ji,jj) = hmle(ji,jj) + zwb0tot(ji,jj) * rn_rdt / zdb_mle |
---|
| 2625 | ELSE |
---|
| 2626 | IF ( zhmle(ji,jj) > zhbl(ji,jj) ) THEN |
---|
| 2627 | hmle(ji,jj) = hmle(ji,jj) - ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt / rn_osm_mle_tau |
---|
| 2628 | ELSE |
---|
| 2629 | hmle(ji,jj) = hmle(ji,jj) - 10.0 * ( hmle(ji,jj) - hbl(ji,jj) ) * rn_rdt /rn_osm_mle_tau |
---|
| 2630 | ENDIF |
---|
| 2631 | ENDIF |
---|
| 2632 | hmle(ji,jj) = MAX(MIN(hmle(ji,jj), ht_n(ji,jj)), gdepw_n(ji,jj,4)) |
---|
| 2633 | IF(ln_osm_hmle_limit) hmle(ji,jj) = MIN(hmle(ji,jj), rn_osm_hmle_limit*hbl(ji,jj) ) |
---|
| 2634 | hmle(ji,jj) = zmld(ji,jj) |
---|
[13402] | 2635 | END DO |
---|
| 2636 | END DO |
---|
| 2637 | |
---|
| 2638 | mld_prof = 4 |
---|
| 2639 | DO jk = 5, jpkm1 |
---|
| 2640 | DO jj = 2, jpjm1 |
---|
| 2641 | DO ji = 2, jpim1 |
---|
| 2642 | IF ( hmle(ji,jj) >= gdepw_n(ji,jj,jk) ) mld_prof(ji,jj) = MIN(mbkt(ji,jj), jk) |
---|
| 2643 | END DO |
---|
| 2644 | END DO |
---|
| 2645 | END DO |
---|
| 2646 | DO jj = 2, jpjm1 |
---|
| 2647 | DO ji = 2, jpim1 |
---|
| 2648 | zhmle(ji,jj) = gdepw_n(ji,jj, mld_prof(ji,jj)) |
---|
| 2649 | END DO |
---|
| 2650 | END DO |
---|
| 2651 | END SUBROUTINE zdf_osm_mle_parameters |
---|
| 2652 | |
---|
| 2653 | END SUBROUTINE zdf_osm |
---|
| 2654 | |
---|
| 2655 | |
---|
[8930] | 2656 | SUBROUTINE zdf_osm_init |
---|
| 2657 | !!---------------------------------------------------------------------- |
---|
| 2658 | !! *** ROUTINE zdf_osm_init *** |
---|
| 2659 | !! |
---|
| 2660 | !! ** Purpose : Initialization of the vertical eddy diffivity and |
---|
| 2661 | !! viscosity when using a osm turbulent closure scheme |
---|
| 2662 | !! |
---|
| 2663 | !! ** Method : Read the namosm namelist and check the parameters |
---|
| 2664 | !! called at the first timestep (nit000) |
---|
| 2665 | !! |
---|
| 2666 | !! ** input : Namlist namosm |
---|
| 2667 | !!---------------------------------------------------------------------- |
---|
| 2668 | INTEGER :: ios ! local integer |
---|
| 2669 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[13402] | 2670 | REAL z1_t2 |
---|
[8930] | 2671 | !! |
---|
| 2672 | NAMELIST/namzdf_osm/ ln_use_osm_la, rn_osm_la, rn_osm_dstokes, nn_ave & |
---|
[13403] | 2673 | & ,nn_osm_wave, ln_dia_osm, rn_osm_hbl0, rn_zdfosm_adjust_sd & |
---|
[13402] | 2674 | & ,ln_kpprimix, rn_riinfty, rn_difri, ln_convmix, rn_difconv, nn_osm_wave & |
---|
[14413] | 2675 | & ,nn_osm_SD_reduce, ln_osm_mle, rn_osm_hblfrac, rn_osm_bl_thresh, ln_zdfosm_ice_shelter |
---|
[13402] | 2676 | ! Namelist for Fox-Kemper parametrization. |
---|
| 2677 | NAMELIST/namosm_mle/ nn_osm_mle, rn_osm_mle_ce, rn_osm_mle_lf, rn_osm_mle_time, rn_osm_mle_lat,& |
---|
[13403] | 2678 | & rn_osm_mle_rho_c, rn_osm_mle_thresh, rn_osm_mle_tau, ln_osm_hmle_limit, rn_osm_hmle_limit |
---|
[13402] | 2679 | |
---|
[8930] | 2680 | !!---------------------------------------------------------------------- |
---|
| 2681 | ! |
---|
| 2682 | REWIND( numnam_ref ) ! Namelist namzdf_osm in reference namelist : Osmosis ML model |
---|
| 2683 | READ ( numnam_ref, namzdf_osm, IOSTAT = ios, ERR = 901) |
---|
[11536] | 2684 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_osm in reference namelist' ) |
---|
[8930] | 2685 | |
---|
| 2686 | REWIND( numnam_cfg ) ! Namelist namzdf_tke in configuration namelist : Turbulent Kinetic Energy |
---|
| 2687 | READ ( numnam_cfg, namzdf_osm, IOSTAT = ios, ERR = 902 ) |
---|
[11536] | 2688 | 902 IF( ios > 0 ) CALL ctl_nam ( ios , 'namzdf_osm in configuration namelist' ) |
---|
[8930] | 2689 | IF(lwm) WRITE ( numond, namzdf_osm ) |
---|
| 2690 | |
---|
| 2691 | IF(lwp) THEN ! Control print |
---|
| 2692 | WRITE(numout,*) |
---|
| 2693 | WRITE(numout,*) 'zdf_osm_init : OSMOSIS Parameterisation' |
---|
| 2694 | WRITE(numout,*) '~~~~~~~~~~~~' |
---|
[13402] | 2695 | WRITE(numout,*) ' Namelist namzdf_osm : set osm mixing parameters' |
---|
| 2696 | WRITE(numout,*) ' Use rn_osm_la ln_use_osm_la = ', ln_use_osm_la |
---|
| 2697 | WRITE(numout,*) ' Use MLE in OBL, i.e. Fox-Kemper param ln_osm_mle = ', ln_osm_mle |
---|
[8930] | 2698 | WRITE(numout,*) ' Turbulent Langmuir number rn_osm_la = ', rn_osm_la |
---|
[13403] | 2699 | WRITE(numout,*) ' Stokes drift reduction factor rn_zdfosm_adjust_sd = ', rn_zdfosm_adjust_sd |
---|
[8930] | 2700 | WRITE(numout,*) ' Initial hbl for 1D runs rn_osm_hbl0 = ', rn_osm_hbl0 |
---|
[13402] | 2701 | WRITE(numout,*) ' Depth scale of Stokes drift rn_osm_dstokes = ', rn_osm_dstokes |
---|
[8930] | 2702 | WRITE(numout,*) ' horizontal average flag nn_ave = ', nn_ave |
---|
| 2703 | WRITE(numout,*) ' Stokes drift nn_osm_wave = ', nn_osm_wave |
---|
| 2704 | SELECT CASE (nn_osm_wave) |
---|
| 2705 | CASE(0) |
---|
| 2706 | WRITE(numout,*) ' calculated assuming constant La#=0.3' |
---|
| 2707 | CASE(1) |
---|
| 2708 | WRITE(numout,*) ' calculated from Pierson Moskowitz wind-waves' |
---|
| 2709 | CASE(2) |
---|
| 2710 | WRITE(numout,*) ' calculated from ECMWF wave fields' |
---|
[13403] | 2711 | END SELECT |
---|
| 2712 | WRITE(numout,*) ' Stokes drift reduction nn_osm_SD_reduce', nn_osm_SD_reduce |
---|
| 2713 | WRITE(numout,*) ' fraction of hbl to average SD over/fit' |
---|
| 2714 | WRITE(numout,*) ' exponential with nn_osm_SD_reduce = 1 or 2 rn_osm_hblfrac = ', rn_osm_hblfrac |
---|
| 2715 | SELECT CASE (nn_osm_SD_reduce) |
---|
| 2716 | CASE(0) |
---|
| 2717 | WRITE(numout,*) ' No reduction' |
---|
| 2718 | CASE(1) |
---|
| 2719 | WRITE(numout,*) ' Average SD over upper rn_osm_hblfrac of BL' |
---|
| 2720 | CASE(2) |
---|
| 2721 | WRITE(numout,*) ' Fit exponential to slope rn_osm_hblfrac of BL' |
---|
[8930] | 2722 | END SELECT |
---|
[13403] | 2723 | WRITE(numout,*) ' reduce surface SD and depth scale under ice ln_zdfosm_ice_shelter=', ln_zdfosm_ice_shelter |
---|
[8930] | 2724 | WRITE(numout,*) ' Output osm diagnostics ln_dia_osm = ', ln_dia_osm |
---|
[14413] | 2725 | WRITE(numout,*) ' Threshold used to define BL rn_osm_bl_thresh = ', rn_osm_bl_thresh, 'm^2/s' |
---|
[8930] | 2726 | WRITE(numout,*) ' Use KPP-style shear instability mixing ln_kpprimix = ', ln_kpprimix |
---|
| 2727 | WRITE(numout,*) ' local Richardson Number limit for shear instability rn_riinfty = ', rn_riinfty |
---|
| 2728 | WRITE(numout,*) ' maximum shear diffusivity at Rig = 0 (m2/s) rn_difri = ', rn_difri |
---|
| 2729 | WRITE(numout,*) ' Use large mixing below BL when unstable ln_convmix = ', ln_convmix |
---|
| 2730 | WRITE(numout,*) ' diffusivity when unstable below BL (m2/s) rn_difconv = ', rn_difconv |
---|
| 2731 | ENDIF |
---|
| 2732 | |
---|
[14413] | 2733 | |
---|
| 2734 | ! ! Check wave coupling settings ! |
---|
| 2735 | ! ! Further work needed - see ticket #2447 ! |
---|
| 2736 | IF( nn_osm_wave == 2 ) THEN |
---|
| 2737 | IF (.NOT. ( ln_wave .AND. ln_sdw )) & |
---|
| 2738 | & CALL ctl_stop( 'zdf_osm_init : ln_zdfosm and nn_osm_wave=2, ln_wave and ln_sdw must be true' ) |
---|
| 2739 | END IF |
---|
| 2740 | |
---|
[8930] | 2741 | ! ! allocate zdfosm arrays |
---|
| 2742 | IF( zdf_osm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_osm_init : unable to allocate arrays' ) |
---|
| 2743 | |
---|
| 2744 | |
---|
[13402] | 2745 | IF( ln_osm_mle ) THEN |
---|
| 2746 | ! Initialise Fox-Kemper parametrization |
---|
| 2747 | REWIND( numnam_ref ) ! Namelist namosm_mle in reference namelist : Tracer advection scheme |
---|
| 2748 | READ ( numnam_ref, namosm_mle, IOSTAT = ios, ERR = 903) |
---|
| 2749 | 903 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namosm_mle in reference namelist') |
---|
| 2750 | |
---|
| 2751 | REWIND( numnam_cfg ) ! Namelist namosm_mle in configuration namelist : Tracer advection scheme |
---|
| 2752 | READ ( numnam_cfg, namosm_mle, IOSTAT = ios, ERR = 904 ) |
---|
| 2753 | 904 IF( ios > 0 ) CALL ctl_nam ( ios , 'namosm_mle in configuration namelist') |
---|
| 2754 | IF(lwm) WRITE ( numond, namosm_mle ) |
---|
| 2755 | |
---|
| 2756 | IF(lwp) THEN ! Namelist print |
---|
| 2757 | WRITE(numout,*) |
---|
| 2758 | WRITE(numout,*) 'zdf_osm_init : initialise mixed layer eddy (MLE)' |
---|
| 2759 | WRITE(numout,*) '~~~~~~~~~~~~~' |
---|
| 2760 | WRITE(numout,*) ' Namelist namosm_mle : ' |
---|
| 2761 | WRITE(numout,*) ' MLE type: =0 standard Fox-Kemper ; =1 new formulation nn_osm_mle = ', nn_osm_mle |
---|
| 2762 | WRITE(numout,*) ' magnitude of the MLE (typical value: 0.06 to 0.08) rn_osm_mle_ce = ', rn_osm_mle_ce |
---|
| 2763 | WRITE(numout,*) ' scale of ML front (ML radius of deformation) (nn_osm_mle=0) rn_osm_mle_lf = ', rn_osm_mle_lf, 'm' |
---|
| 2764 | WRITE(numout,*) ' maximum time scale of MLE (nn_osm_mle=0) rn_osm_mle_time = ', rn_osm_mle_time, 's' |
---|
| 2765 | WRITE(numout,*) ' reference latitude (degrees) of MLE coef. (nn_osm_mle=1) rn_osm_mle_lat = ', rn_osm_mle_lat, 'deg' |
---|
| 2766 | WRITE(numout,*) ' Density difference used to define ML for FK rn_osm_mle_rho_c = ', rn_osm_mle_rho_c |
---|
[14413] | 2767 | WRITE(numout,*) ' Threshold used to define MLE for FK rn_osm_mle_thresh = ', rn_osm_mle_thresh, 'm^2/s' |
---|
[13402] | 2768 | WRITE(numout,*) ' Timescale for OSM-FK rn_osm_mle_tau = ', rn_osm_mle_tau, 's' |
---|
[13403] | 2769 | WRITE(numout,*) ' switch to limit hmle ln_osm_hmle_limit = ', ln_osm_hmle_limit |
---|
| 2770 | WRITE(numout,*) ' fraction of zmld to limit hmle to if ln_osm_hmle_limit =.T. rn_osm_hmle_limit = ', rn_osm_hmle_limit |
---|
[13402] | 2771 | ENDIF ! |
---|
| 2772 | ENDIF |
---|
| 2773 | ! |
---|
| 2774 | IF(lwp) THEN |
---|
| 2775 | WRITE(numout,*) |
---|
| 2776 | IF( ln_osm_mle ) THEN |
---|
| 2777 | WRITE(numout,*) ' ==>>> Mixed Layer Eddy induced transport added to OSMOSIS BL calculation' |
---|
| 2778 | IF( nn_osm_mle == 0 ) WRITE(numout,*) ' Fox-Kemper et al 2010 formulation' |
---|
| 2779 | IF( nn_osm_mle == 1 ) WRITE(numout,*) ' New formulation' |
---|
| 2780 | ELSE |
---|
| 2781 | WRITE(numout,*) ' ==>>> Mixed Layer induced transport NOT added to OSMOSIS BL calculation' |
---|
| 2782 | ENDIF |
---|
| 2783 | ENDIF |
---|
| 2784 | ! |
---|
| 2785 | IF( ln_osm_mle ) THEN ! MLE initialisation |
---|
| 2786 | ! |
---|
| 2787 | rb_c = grav * rn_osm_mle_rho_c /rau0 ! Mixed Layer buoyancy criteria |
---|
| 2788 | IF(lwp) WRITE(numout,*) |
---|
| 2789 | IF(lwp) WRITE(numout,*) ' ML buoyancy criteria = ', rb_c, ' m/s2 ' |
---|
| 2790 | IF(lwp) WRITE(numout,*) ' associated ML density criteria defined in zdfmxl = ', rn_osm_mle_rho_c, 'kg/m3' |
---|
| 2791 | ! |
---|
| 2792 | IF( nn_osm_mle == 0 ) THEN ! MLE array allocation & initialisation ! |
---|
| 2793 | ! |
---|
| 2794 | ELSEIF( nn_osm_mle == 1 ) THEN ! MLE array allocation & initialisation |
---|
| 2795 | rc_f = rn_osm_mle_ce/ ( 5.e3_wp * 2._wp * omega * SIN( rad * rn_osm_mle_lat ) ) |
---|
| 2796 | ! |
---|
| 2797 | ENDIF |
---|
| 2798 | ! ! 1/(f^2+tau^2)^1/2 at t-point (needed in both nn_osm_mle case) |
---|
| 2799 | z1_t2 = 2.e-5 |
---|
| 2800 | do jj=1,jpj |
---|
| 2801 | do ji = 1,jpi |
---|
| 2802 | r1_ft(ji,jj) = MIN(1./( ABS(ff_t(ji,jj)) + epsln ), ABS(ff_t(ji,jj))/z1_t2**2) |
---|
| 2803 | end do |
---|
| 2804 | end do |
---|
| 2805 | ! z1_t2 = 1._wp / ( rn_osm_mle_time * rn_osm_mle_timeji,jj ) |
---|
| 2806 | ! r1_ft(:,:) = 1._wp / SQRT( ff_t(:,:) * ff_t(:,:) + z1_t2 ) |
---|
| 2807 | ! |
---|
| 2808 | ENDIF |
---|
| 2809 | |
---|
| 2810 | call osm_rst( nit000, 'READ' ) !* read or initialize hbl, dh, hmle |
---|
| 2811 | |
---|
| 2812 | |
---|
[8930] | 2813 | IF( ln_zdfddm) THEN |
---|
| 2814 | IF(lwp) THEN |
---|
| 2815 | WRITE(numout,*) |
---|
| 2816 | WRITE(numout,*) ' Double diffusion mixing on temperature and salinity ' |
---|
| 2817 | WRITE(numout,*) ' CAUTION : done in routine zdfosm, not in routine zdfddm ' |
---|
| 2818 | ENDIF |
---|
| 2819 | ENDIF |
---|
| 2820 | |
---|
| 2821 | |
---|
| 2822 | !set constants not in namelist |
---|
| 2823 | !----------------------------- |
---|
| 2824 | |
---|
| 2825 | IF(lwp) THEN |
---|
| 2826 | WRITE(numout,*) |
---|
| 2827 | ENDIF |
---|
| 2828 | |
---|
| 2829 | IF (nn_osm_wave == 0) THEN |
---|
| 2830 | dstokes(:,:) = rn_osm_dstokes |
---|
| 2831 | END IF |
---|
| 2832 | |
---|
| 2833 | ! Horizontal average : initialization of weighting arrays |
---|
| 2834 | ! ------------------- |
---|
| 2835 | |
---|
| 2836 | SELECT CASE ( nn_ave ) |
---|
| 2837 | |
---|
| 2838 | CASE ( 0 ) ! no horizontal average |
---|
| 2839 | IF(lwp) WRITE(numout,*) ' no horizontal average on avt' |
---|
| 2840 | IF(lwp) WRITE(numout,*) ' only in very high horizontal resolution !' |
---|
| 2841 | ! weighting mean arrays etmean |
---|
| 2842 | ! ( 1 1 ) |
---|
| 2843 | ! avt = 1/4 ( 1 1 ) |
---|
| 2844 | ! |
---|
| 2845 | etmean(:,:,:) = 0.e0 |
---|
| 2846 | |
---|
| 2847 | DO jk = 1, jpkm1 |
---|
| 2848 | DO jj = 2, jpjm1 |
---|
| 2849 | DO ji = 2, jpim1 ! vector opt. |
---|
| 2850 | etmean(ji,jj,jk) = tmask(ji,jj,jk) & |
---|
| 2851 | & / MAX( 1., umask(ji-1,jj ,jk) + umask(ji,jj,jk) & |
---|
| 2852 | & + vmask(ji ,jj-1,jk) + vmask(ji,jj,jk) ) |
---|
| 2853 | END DO |
---|
| 2854 | END DO |
---|
| 2855 | END DO |
---|
| 2856 | |
---|
| 2857 | CASE ( 1 ) ! horizontal average |
---|
| 2858 | IF(lwp) WRITE(numout,*) ' horizontal average on avt' |
---|
| 2859 | ! weighting mean arrays etmean |
---|
| 2860 | ! ( 1/2 1 1/2 ) |
---|
| 2861 | ! avt = 1/8 ( 1 2 1 ) |
---|
| 2862 | ! ( 1/2 1 1/2 ) |
---|
| 2863 | etmean(:,:,:) = 0.e0 |
---|
| 2864 | |
---|
| 2865 | DO jk = 1, jpkm1 |
---|
| 2866 | DO jj = 2, jpjm1 |
---|
| 2867 | DO ji = 2, jpim1 ! vector opt. |
---|
| 2868 | etmean(ji,jj,jk) = tmask(ji, jj,jk) & |
---|
| 2869 | & / MAX( 1., 2.* tmask(ji,jj,jk) & |
---|
| 2870 | & +.5 * ( tmask(ji-1,jj+1,jk) + tmask(ji-1,jj-1,jk) & |
---|
| 2871 | & +tmask(ji+1,jj+1,jk) + tmask(ji+1,jj-1,jk) ) & |
---|
| 2872 | & +1. * ( tmask(ji-1,jj ,jk) + tmask(ji ,jj+1,jk) & |
---|
| 2873 | & +tmask(ji ,jj-1,jk) + tmask(ji+1,jj ,jk) ) ) |
---|
| 2874 | END DO |
---|
| 2875 | END DO |
---|
| 2876 | END DO |
---|
| 2877 | |
---|
| 2878 | CASE DEFAULT |
---|
| 2879 | WRITE(ctmp1,*) ' bad flag value for nn_ave = ', nn_ave |
---|
| 2880 | CALL ctl_stop( ctmp1 ) |
---|
| 2881 | |
---|
| 2882 | END SELECT |
---|
| 2883 | |
---|
| 2884 | ! Initialization of vertical eddy coef. to the background value |
---|
| 2885 | ! ------------------------------------------------------------- |
---|
| 2886 | DO jk = 1, jpk |
---|
| 2887 | avt (:,:,jk) = avtb(jk) * tmask(:,:,jk) |
---|
| 2888 | END DO |
---|
| 2889 | |
---|
| 2890 | ! zero the surface flux for non local term and osm mixed layer depth |
---|
| 2891 | ! ------------------------------------------------------------------ |
---|
| 2892 | ghamt(:,:,:) = 0. |
---|
| 2893 | ghams(:,:,:) = 0. |
---|
| 2894 | ghamu(:,:,:) = 0. |
---|
| 2895 | ghamv(:,:,:) = 0. |
---|
| 2896 | ! |
---|
[9367] | 2897 | IF( lwxios ) THEN |
---|
| 2898 | CALL iom_set_rstw_var_active('wn') |
---|
| 2899 | CALL iom_set_rstw_var_active('hbl') |
---|
[13402] | 2900 | CALL iom_set_rstw_var_active('dh') |
---|
| 2901 | IF( ln_osm_mle ) THEN |
---|
| 2902 | CALL iom_set_rstw_var_active('hmle') |
---|
| 2903 | END IF |
---|
[9367] | 2904 | ENDIF |
---|
[8930] | 2905 | END SUBROUTINE zdf_osm_init |
---|
| 2906 | |
---|
[8946] | 2907 | |
---|
[8930] | 2908 | SUBROUTINE osm_rst( kt, cdrw ) |
---|
| 2909 | !!--------------------------------------------------------------------- |
---|
| 2910 | !! *** ROUTINE osm_rst *** |
---|
| 2911 | !! |
---|
| 2912 | !! ** Purpose : Read or write BL fields in restart file |
---|
| 2913 | !! |
---|
| 2914 | !! ** Method : use of IOM library. If the restart does not contain |
---|
| 2915 | !! required fields, they are recomputed from stratification |
---|
| 2916 | !!---------------------------------------------------------------------- |
---|
| 2917 | |
---|
| 2918 | INTEGER, INTENT(in) :: kt |
---|
| 2919 | CHARACTER(len=*), INTENT(in) :: cdrw ! "READ"/"WRITE" flag |
---|
| 2920 | |
---|
[13402] | 2921 | INTEGER :: id1, id2, id3 ! iom enquiry index |
---|
[8930] | 2922 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 2923 | INTEGER :: iiki, ikt ! local integer |
---|
| 2924 | REAL(wp) :: zhbf ! tempory scalars |
---|
| 2925 | REAL(wp) :: zN2_c ! local scalar |
---|
| 2926 | REAL(wp) :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
---|
[13402] | 2927 | INTEGER, DIMENSION(jpi,jpj) :: imld_rst ! level of mixed-layer depth (pycnocline top) |
---|
[8930] | 2928 | !!---------------------------------------------------------------------- |
---|
| 2929 | ! |
---|
| 2930 | !!----------------------------------------------------------------------------- |
---|
| 2931 | ! If READ/WRITE Flag is 'READ', try to get hbl from restart file. If successful then return |
---|
| 2932 | !!----------------------------------------------------------------------------- |
---|
| 2933 | IF( TRIM(cdrw) == 'READ'.AND. ln_rstart) THEN |
---|
| 2934 | id1 = iom_varid( numror, 'wn' , ldstop = .FALSE. ) |
---|
| 2935 | IF( id1 > 0 ) THEN ! 'wn' exists; read |
---|
[9367] | 2936 | CALL iom_get( numror, jpdom_autoglo, 'wn', wn, ldxios = lrxios ) |
---|
[8930] | 2937 | WRITE(numout,*) ' ===>>>> : wn read from restart file' |
---|
| 2938 | ELSE |
---|
| 2939 | wn(:,:,:) = 0._wp |
---|
| 2940 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
| 2941 | END IF |
---|
[13402] | 2942 | |
---|
[8930] | 2943 | id1 = iom_varid( numror, 'hbl' , ldstop = .FALSE. ) |
---|
[13402] | 2944 | id2 = iom_varid( numror, 'dh' , ldstop = .FALSE. ) |
---|
[8930] | 2945 | IF( id1 > 0 .AND. id2 > 0) THEN ! 'hbl' exists; read and return |
---|
[9367] | 2946 | CALL iom_get( numror, jpdom_autoglo, 'hbl' , hbl , ldxios = lrxios ) |
---|
[13402] | 2947 | CALL iom_get( numror, jpdom_autoglo, 'dh', dh, ldxios = lrxios ) |
---|
| 2948 | WRITE(numout,*) ' ===>>>> : hbl & dh read from restart file' |
---|
| 2949 | IF( ln_osm_mle ) THEN |
---|
| 2950 | id3 = iom_varid( numror, 'hmle' , ldstop = .FALSE. ) |
---|
| 2951 | IF( id3 > 0) THEN |
---|
| 2952 | CALL iom_get( numror, jpdom_autoglo, 'hmle' , hmle , ldxios = lrxios ) |
---|
| 2953 | WRITE(numout,*) ' ===>>>> : hmle read from restart file' |
---|
| 2954 | ELSE |
---|
| 2955 | WRITE(numout,*) ' ===>>>> : hmle not found, set to hbl' |
---|
| 2956 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
| 2957 | END IF |
---|
| 2958 | END IF |
---|
[8930] | 2959 | RETURN |
---|
[13402] | 2960 | ELSE ! 'hbl' & 'dh' not in restart file, recalculate |
---|
[8930] | 2961 | WRITE(numout,*) ' ===>>>> : previous run without osmosis scheme, hbl computed from stratification' |
---|
| 2962 | END IF |
---|
| 2963 | END IF |
---|
| 2964 | |
---|
| 2965 | !!----------------------------------------------------------------------------- |
---|
| 2966 | ! If READ/WRITE Flag is 'WRITE', write hbl into the restart file, then return |
---|
| 2967 | !!----------------------------------------------------------------------------- |
---|
| 2968 | IF( TRIM(cdrw) == 'WRITE') THEN !* Write hbli into the restart file, then return |
---|
| 2969 | IF(lwp) WRITE(numout,*) '---- osm-rst ----' |
---|
[13402] | 2970 | CALL iom_rstput( kt, nitrst, numrow, 'wn' , wn, ldxios = lwxios ) |
---|
| 2971 | CALL iom_rstput( kt, nitrst, numrow, 'hbl' , hbl, ldxios = lwxios ) |
---|
| 2972 | CALL iom_rstput( kt, nitrst, numrow, 'dh' , dh, ldxios = lwxios ) |
---|
| 2973 | IF( ln_osm_mle ) THEN |
---|
| 2974 | CALL iom_rstput( kt, nitrst, numrow, 'hmle', hmle, ldxios = lwxios ) |
---|
| 2975 | END IF |
---|
[8930] | 2976 | RETURN |
---|
| 2977 | END IF |
---|
| 2978 | |
---|
| 2979 | !!----------------------------------------------------------------------------- |
---|
| 2980 | ! Getting hbl, no restart file with hbl, so calculate from surface stratification |
---|
| 2981 | !!----------------------------------------------------------------------------- |
---|
| 2982 | IF( lwp ) WRITE(numout,*) ' ===>>>> : calculating hbl computed from stratification' |
---|
| 2983 | ! w-level of the mixing and mixed layers |
---|
| 2984 | CALL eos_rab( tsn, rab_n ) |
---|
| 2985 | CALL bn2(tsn, rab_n, rn2) |
---|
| 2986 | imld_rst(:,:) = nlb10 ! Initialization to the number of w ocean point |
---|
| 2987 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
---|
| 2988 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
---|
| 2989 | ! |
---|
| 2990 | hbl(:,:) = 0._wp ! here hbl used as a dummy variable, integrating vertically N^2 |
---|
| 2991 | DO jk = 1, jpkm1 |
---|
| 2992 | DO jj = 1, jpj ! Mixed layer level: w-level |
---|
| 2993 | DO ji = 1, jpi |
---|
| 2994 | ikt = mbkt(ji,jj) |
---|
| 2995 | hbl(ji,jj) = hbl(ji,jj) + MAX( rn2(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
---|
| 2996 | IF( hbl(ji,jj) < zN2_c ) imld_rst(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
---|
| 2997 | END DO |
---|
| 2998 | END DO |
---|
| 2999 | END DO |
---|
| 3000 | ! |
---|
| 3001 | DO jj = 1, jpj |
---|
| 3002 | DO ji = 1, jpi |
---|
[13402] | 3003 | iiki = MAX(4,imld_rst(ji,jj)) |
---|
| 3004 | hbl (ji,jj) = gdepw_n(ji,jj,iiki ) ! Turbocline depth |
---|
| 3005 | dh (ji,jj) = e3t_n(ji,jj,iiki-1 ) ! Turbocline depth |
---|
[8930] | 3006 | END DO |
---|
| 3007 | END DO |
---|
[13402] | 3008 | |
---|
[8930] | 3009 | WRITE(numout,*) ' ===>>>> : hbl computed from stratification' |
---|
[13402] | 3010 | |
---|
| 3011 | IF( ln_osm_mle ) THEN |
---|
| 3012 | hmle(:,:) = hbl(:,:) ! Initialise MLE depth. |
---|
| 3013 | WRITE(numout,*) ' ===>>>> : hmle set = to hbl' |
---|
| 3014 | END IF |
---|
| 3015 | |
---|
| 3016 | wn(:,:,:) = 0._wp |
---|
| 3017 | WRITE(numout,*) ' ===>>>> : wn not in restart file, set to zero initially' |
---|
[8930] | 3018 | END SUBROUTINE osm_rst |
---|
| 3019 | |
---|
[8946] | 3020 | |
---|
[8930] | 3021 | SUBROUTINE tra_osm( kt ) |
---|
| 3022 | !!---------------------------------------------------------------------- |
---|
| 3023 | !! *** ROUTINE tra_osm *** |
---|
| 3024 | !! |
---|
| 3025 | !! ** Purpose : compute and add to the tracer trend the non-local tracer flux |
---|
| 3026 | !! |
---|
| 3027 | !! ** Method : ??? |
---|
| 3028 | !!---------------------------------------------------------------------- |
---|
| 3029 | REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: ztrdt, ztrds ! 3D workspace |
---|
| 3030 | !!---------------------------------------------------------------------- |
---|
| 3031 | INTEGER, INTENT(in) :: kt |
---|
| 3032 | INTEGER :: ji, jj, jk |
---|
| 3033 | ! |
---|
| 3034 | IF( kt == nit000 ) THEN |
---|
| 3035 | IF(lwp) WRITE(numout,*) |
---|
| 3036 | IF(lwp) WRITE(numout,*) 'tra_osm : OSM non-local tracer fluxes' |
---|
| 3037 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
| 3038 | ENDIF |
---|
| 3039 | |
---|
| 3040 | IF( l_trdtra ) THEN !* Save ta and sa trends |
---|
| 3041 | ALLOCATE( ztrdt(jpi,jpj,jpk) ) ; ztrdt(:,:,:) = tsa(:,:,:,jp_tem) |
---|
| 3042 | ALLOCATE( ztrds(jpi,jpj,jpk) ) ; ztrds(:,:,:) = tsa(:,:,:,jp_sal) |
---|
| 3043 | ENDIF |
---|
| 3044 | |
---|
| 3045 | DO jk = 1, jpkm1 |
---|
| 3046 | DO jj = 2, jpjm1 |
---|
| 3047 | DO ji = 2, jpim1 |
---|
| 3048 | tsa(ji,jj,jk,jp_tem) = tsa(ji,jj,jk,jp_tem) & |
---|
| 3049 | & - ( ghamt(ji,jj,jk ) & |
---|
| 3050 | & - ghamt(ji,jj,jk+1) ) /e3t_n(ji,jj,jk) |
---|
| 3051 | tsa(ji,jj,jk,jp_sal) = tsa(ji,jj,jk,jp_sal) & |
---|
| 3052 | & - ( ghams(ji,jj,jk ) & |
---|
| 3053 | & - ghams(ji,jj,jk+1) ) / e3t_n(ji,jj,jk) |
---|
| 3054 | END DO |
---|
| 3055 | END DO |
---|
| 3056 | END DO |
---|
| 3057 | |
---|
[13402] | 3058 | ! save the non-local tracer flux trends for diagnostics |
---|
[8930] | 3059 | IF( l_trdtra ) THEN |
---|
| 3060 | ztrdt(:,:,:) = tsa(:,:,:,jp_tem) - ztrdt(:,:,:) |
---|
| 3061 | ztrds(:,:,:) = tsa(:,:,:,jp_sal) - ztrds(:,:,:) |
---|
[13402] | 3062 | |
---|
| 3063 | CALL trd_tra( kt, 'TRA', jp_tem, jptra_osm, ztrdt ) |
---|
| 3064 | CALL trd_tra( kt, 'TRA', jp_sal, jptra_osm, ztrds ) |
---|
[8930] | 3065 | DEALLOCATE( ztrdt ) ; DEALLOCATE( ztrds ) |
---|
| 3066 | ENDIF |
---|
| 3067 | |
---|
| 3068 | IF(ln_ctl) THEN |
---|
| 3069 | CALL prt_ctl( tab3d_1=tsa(:,:,:,jp_tem), clinfo1=' osm - Ta: ', mask1=tmask, & |
---|
| 3070 | & tab3d_2=tsa(:,:,:,jp_sal), clinfo2= ' Sa: ', mask2=tmask, clinfo3='tra' ) |
---|
| 3071 | ENDIF |
---|
| 3072 | ! |
---|
| 3073 | END SUBROUTINE tra_osm |
---|
| 3074 | |
---|
[8946] | 3075 | |
---|
[8930] | 3076 | SUBROUTINE trc_osm( kt ) ! Dummy routine |
---|
| 3077 | !!---------------------------------------------------------------------- |
---|
| 3078 | !! *** ROUTINE trc_osm *** |
---|
| 3079 | !! |
---|
| 3080 | !! ** Purpose : compute and add to the passive tracer trend the non-local |
---|
| 3081 | !! passive tracer flux |
---|
| 3082 | !! |
---|
| 3083 | !! |
---|
| 3084 | !! ** Method : ??? |
---|
| 3085 | !!---------------------------------------------------------------------- |
---|
[8946] | 3086 | ! |
---|
[8930] | 3087 | !!---------------------------------------------------------------------- |
---|
| 3088 | INTEGER, INTENT(in) :: kt |
---|
| 3089 | WRITE(*,*) 'trc_osm: Not written yet', kt |
---|
| 3090 | END SUBROUTINE trc_osm |
---|
| 3091 | |
---|
[8946] | 3092 | |
---|
[8930] | 3093 | SUBROUTINE dyn_osm( kt ) |
---|
| 3094 | !!---------------------------------------------------------------------- |
---|
| 3095 | !! *** ROUTINE dyn_osm *** |
---|
| 3096 | !! |
---|
| 3097 | !! ** Purpose : compute and add to the velocity trend the non-local flux |
---|
| 3098 | !! copied/modified from tra_osm |
---|
| 3099 | !! |
---|
| 3100 | !! ** Method : ??? |
---|
| 3101 | !!---------------------------------------------------------------------- |
---|
[8946] | 3102 | INTEGER, INTENT(in) :: kt ! |
---|
| 3103 | ! |
---|
| 3104 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
[8930] | 3105 | !!---------------------------------------------------------------------- |
---|
| 3106 | ! |
---|
| 3107 | IF( kt == nit000 ) THEN |
---|
| 3108 | IF(lwp) WRITE(numout,*) |
---|
| 3109 | IF(lwp) WRITE(numout,*) 'dyn_osm : OSM non-local velocity' |
---|
| 3110 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
---|
| 3111 | ENDIF |
---|
| 3112 | !code saving tracer trends removed, replace with trdmxl_oce |
---|
| 3113 | |
---|
[8946] | 3114 | DO jk = 1, jpkm1 ! add non-local u and v fluxes |
---|
[8930] | 3115 | DO jj = 2, jpjm1 |
---|
| 3116 | DO ji = 2, jpim1 |
---|
| 3117 | ua(ji,jj,jk) = ua(ji,jj,jk) & |
---|
| 3118 | & - ( ghamu(ji,jj,jk ) & |
---|
| 3119 | & - ghamu(ji,jj,jk+1) ) / e3u_n(ji,jj,jk) |
---|
| 3120 | va(ji,jj,jk) = va(ji,jj,jk) & |
---|
| 3121 | & - ( ghamv(ji,jj,jk ) & |
---|
| 3122 | & - ghamv(ji,jj,jk+1) ) / e3v_n(ji,jj,jk) |
---|
| 3123 | END DO |
---|
| 3124 | END DO |
---|
| 3125 | END DO |
---|
[9089] | 3126 | ! |
---|
[8930] | 3127 | ! code for saving tracer trends removed |
---|
| 3128 | ! |
---|
| 3129 | END SUBROUTINE dyn_osm |
---|
| 3130 | |
---|
[8946] | 3131 | !!====================================================================== |
---|
[13402] | 3132 | |
---|
[8930] | 3133 | END MODULE zdfosm |
---|