[3611] | 1 | MODULE dynzdf_exp_tam |
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| 2 | #ifdef key_tam |
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| 3 | !!============================================================================== |
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| 4 | !! *** MODULE dynzdf_exp_tam *** |
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| 5 | !! Ocean dynamics: vertical component(s) of the momentum mixing trend |
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| 6 | !! Tangent and Adjoint Module |
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| 7 | !!============================================================================== |
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| 8 | !! History of the direct module: |
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| 9 | !! ! 90-10 (B. Blanke) Original code |
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| 10 | !! ! 97-05 (G. Madec) vertical component of isopycnal |
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| 11 | !! 8.5 ! 02-08 (G. Madec) F90: Free form and module |
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| 12 | !! History of the TAM module: |
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| 13 | !! 9.0 ! 08-0! (A. Vidard) Skeleton |
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| 14 | !! 3.4 ! 12-07 (P.-A. Bouttier) Phasing with 3.4 |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | |
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| 17 | !!---------------------------------------------------------------------- |
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| 18 | !! dyn_zdf_exp : update the momentum trend with the vertical diffu- |
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| 19 | !! sion using an explicit time-stepping scheme. |
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| 20 | !!---------------------------------------------------------------------- |
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| 21 | !! * Modules used |
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| 22 | USE par_oce |
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| 23 | USE oce_tam |
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| 24 | USE zdf_oce |
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| 25 | USE dom_oce |
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| 26 | USE phycst |
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| 27 | USE in_out_manager |
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| 28 | USE lib_mpp ! MPP library |
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| 29 | USE wrk_nemo ! Memory Allocation |
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| 30 | USE timing ! Timing |
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| 31 | |
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| 32 | IMPLICIT NONE |
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| 33 | PRIVATE |
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| 34 | |
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| 35 | !! * Routine accessibility |
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| 36 | PUBLIC dyn_zdf_exp_tan ! called by dynzdf_tam.F90 |
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| 37 | PUBLIC dyn_zdf_exp_adj ! called by dynzdf_tam.F90 |
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| 38 | |
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| 39 | !! * Substitutions |
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| 40 | # include "domzgr_substitute.h90" |
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| 41 | # include "vectopt_loop_substitute.h90" |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | |
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| 44 | CONTAINS |
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| 45 | |
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| 46 | SUBROUTINE dyn_zdf_exp_tan( kt, p2dt ) |
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| 47 | !!---------------------------------------------------------------------- |
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| 48 | !! *** ROUTINE dyn_zdf_exp_tan *** |
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| 49 | !! |
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| 50 | !! ** Purpose of the direct routine: |
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| 51 | !! Compute the trend due to the vert. momentum diffusion |
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| 52 | !! |
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| 53 | !! ** Method of the direct routine: |
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| 54 | !! Explicit forward time stepping with a time splitting |
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| 55 | !! technique. The vertical diffusion of momentum is given by: |
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| 56 | !! diffu = dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ub) ) |
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| 57 | !! Surface boundary conditions: wind stress input |
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| 58 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F90) |
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| 59 | !! Add this trend to the general trend ua : |
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| 60 | !! ua = ua + dz( avmu dz(u) ) |
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| 61 | !! |
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| 62 | !! ** Action : - Update (ua,va) with the vertical diffusive trend |
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| 63 | !!--------------------------------------------------------------------- |
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| 64 | !! * Arguments |
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| 65 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
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| 66 | REAL(wp), INTENT( in ) :: p2dt ! time-step |
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| 67 | |
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| 68 | !! * Local declarations |
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| 69 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 70 | REAL(wp) :: zrau0r, zlavmr, zuatl, zvatl ! temporary scalars |
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| 71 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwxtl, zwytl, zwztl, zwwtl ! temporary workspace arrays |
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| 72 | !!---------------------------------------------------------------------- |
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| 73 | ! |
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| 74 | IF( nn_timing == 1 ) CALL timing_start('dyn_zdf_exp_adj') |
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| 75 | ! |
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| 76 | CALL wrk_alloc( jpi,jpj,jpk, zwxtl, zwytl, zwztl, zwwtl ) |
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| 77 | ! |
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| 78 | IF( kt == nit000 .AND. lwp) THEN |
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| 79 | IF(lwp) WRITE(numout,*) |
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| 80 | IF(lwp) WRITE(numout,*) 'dyn_zdf_exp_tan : vertical momentum diffusion explicit operator' |
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| 81 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
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| 82 | ENDIF |
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| 83 | |
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| 84 | ! Local constant initialization |
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| 85 | ! ----------------------------- |
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| 86 | zrau0r = 1. / rau0 ! inverse of the reference density |
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| 87 | zlavmr = 1. / REAL( nn_zdfexp ) ! inverse of the number of sub time step |
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| 88 | ! ! =============== |
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| 89 | ! Vertical slab |
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| 90 | ! ! =============== |
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| 91 | ! Surface boundary condition |
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| 92 | DO jj = 2, jpjm1 |
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| 93 | DO ji = 2, jpim1 |
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| 94 | zwytl(ji,jj,1) = 0.0_wp |
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| 95 | zwwtl(ji,jj,1) = 0.0_wp |
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| 96 | END DO |
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| 97 | END DO |
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| 98 | ! Initialization of x, z and contingently trends array |
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| 99 | DO jk = 1, jpk |
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| 100 | DO jj = 2, jpjm1 |
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| 101 | DO ji = 2, jpim1 |
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| 102 | zwxtl(ji,jj,jk) = ub_tl(ji,jj,jk) |
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| 103 | zwztl(ji,jj,jk) = vb_tl(ji,jj,jk) |
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| 104 | END DO |
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| 105 | END DO |
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| 106 | END DO |
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| 107 | ! Time splitting loop |
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| 108 | DO jl = 1, nn_zdfexp |
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| 109 | ! |
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| 110 | ! First vertical derivative |
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| 111 | DO jk = 2, jpk |
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| 112 | DO jj = 2, jpjm1 |
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| 113 | DO ji = 2, jpim1 |
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| 114 | zwytl(ji,jj,jk) = avmu(ji,jj,jk) * ( zwxtl(ji,jj,jk-1) - zwxtl(ji,jj,jk) ) / fse3uw(ji,jj,jk) |
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| 115 | zwwtl(ji,jj,jk) = avmv(ji,jj,jk) * ( zwztl(ji,jj,jk-1) - zwztl(ji,jj,jk) ) / fse3vw(ji,jj,jk) |
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| 116 | END DO |
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| 117 | END DO |
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| 118 | END DO |
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| 119 | ! Second vertical derivative and trend estimation at kt+l*rdt/nn_zdfexp |
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| 120 | DO jk = 1, jpkm1 |
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| 121 | DO jj = 2, jpjm1 |
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| 122 | DO ji = 2, jpim1 |
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| 123 | zuatl = zlavmr*( zwytl(ji,jj,jk) - zwytl(ji,jj,jk+1) ) / fse3u(ji,jj,jk) |
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| 124 | zvatl = zlavmr*( zwwtl(ji,jj,jk) - zwwtl(ji,jj,jk+1) ) / fse3v(ji,jj,jk) |
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| 125 | ua_tl(ji,jj,jk) = ua_tl(ji,jj,jk) + zuatl |
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| 126 | va_tl(ji,jj,jk) = va_tl(ji,jj,jk) + zvatl |
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| 127 | zwxtl(ji,jj,jk) = zwxtl(ji,jj,jk) + p2dt*zuatl*umask(ji,jj,jk) |
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| 128 | zwztl(ji,jj,jk) = zwztl(ji,jj,jk) + p2dt*zvatl*vmask(ji,jj,jk) |
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| 129 | END DO |
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| 130 | END DO |
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| 131 | END DO |
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| 132 | ! |
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| 133 | END DO |
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| 134 | ! ! =============== |
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| 135 | ! ! End of slab |
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| 136 | ! ! =============== |
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| 137 | ! |
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| 138 | CALL wrk_dealloc( jpi,jpj,jpk, zwxtl, zwytl, zwztl, zwwtl ) |
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| 139 | ! |
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| 140 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zdf_exp_tan') |
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| 141 | ! |
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| 142 | END SUBROUTINE dyn_zdf_exp_tan |
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| 143 | SUBROUTINE dyn_zdf_exp_adj( kt, p2dt ) |
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| 144 | !!---------------------------------------------------------------------- |
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| 145 | !! *** ROUTINE dyn_zdf_exp_adj *** |
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| 146 | !! |
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| 147 | !! ** Purpose of the direct routine: |
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| 148 | !! Compute the trend due to the vert. momentum diffusion |
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| 149 | !! |
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| 150 | !! ** Method of the direct routine: |
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| 151 | !! Explicit forward time stepping with a time splitting |
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| 152 | !! technique. The vertical diffusion of momentum is given by: |
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| 153 | !! diffu = dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ub) ) |
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| 154 | !! Surface boundary conditions: wind stress input |
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| 155 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F90) |
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| 156 | !! Add this trend to the general trend ua : |
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| 157 | !! ua = ua + dz( avmu dz(u) ) |
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| 158 | !! |
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| 159 | !! ** Action : - Update (ua,va) with the vertical diffusive trend |
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| 160 | !!--------------------------------------------------------------------- |
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| 161 | !! * Arguments |
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| 162 | INTEGER , INTENT( in ) :: kt ! ocean time-step index |
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| 163 | REAL(wp), INTENT( in ) :: p2dt ! time-step |
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| 164 | |
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| 165 | !! * Local declarations |
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| 166 | INTEGER :: ji, jj, jk, jl ! dummy loop indices |
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| 167 | REAL(wp) :: zrau0r, zlavmr, zuaad, zvaad ! temporary scalars |
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| 168 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwxad, zwyad, zwzad, zwwad ! temporary workspace arrays |
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| 169 | !!---------------------------------------------------------------------- |
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| 170 | ! |
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| 171 | IF( nn_timing == 1 ) CALL timing_start('dyn_zdf_exp_adj') |
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| 172 | ! |
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| 173 | CALL wrk_alloc( jpi,jpj,jpk, zwxad, zwyad, zwzad, zwwad ) |
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| 174 | ! |
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| 175 | IF( kt == nitend ) THEN |
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| 176 | IF(lwp) WRITE(numout,*) |
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| 177 | IF(lwp) WRITE(numout,*) 'dyn_zdf_exp_adj : vertical momentum diffusion explicit operator' |
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| 178 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~~~ ' |
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| 179 | ENDIF |
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| 180 | ! Local constant initialization |
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| 181 | ! ----------------------------- |
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| 182 | zrau0r = 1. / rau0 ! inverse of the reference density |
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| 183 | zlavmr = 1. / float( nn_zdfexp ) ! inverse of the number of sub time step |
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| 184 | zwxad(:,:,:) = 0.0_wp ; zwyad(:,:,:) = 0.0_wp ; zwzad(:,:,:) = 0.0_wp ; zwwad(:,:,:) = 0.0_wp |
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| 185 | ! ! =============== |
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| 186 | ! ! Vertical slab |
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| 187 | ! ! =============== |
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| 188 | ! Time splitting loop |
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| 189 | DO jl = 1, nn_zdfexp |
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| 190 | ! |
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| 191 | ! Second vertical derivative and trend estimation at kt+l*rdt/nn_zdfexp |
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| 192 | DO jk = 1, jpkm1 |
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| 193 | DO jj = 2, jpjm1 |
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| 194 | DO ji = 2, jpim1 |
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| 195 | zuaad = p2dt * zwxad(ji,jj,jk) * umask(ji,jj,jk) |
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| 196 | zvaad = p2dt * zwzad(ji,jj,jk) * vmask(ji,jj,jk) |
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| 197 | zuaad = zuaad + ua_ad(ji,jj,jk) |
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| 198 | zvaad = zvaad + va_ad(ji,jj,jk) |
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| 199 | zwyad(ji,jj,jk ) = zwyad(ji,jj,jk ) + zlavmr * zuaad / fse3u(ji,jj,jk) |
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| 200 | zwyad(ji,jj,jk+1) = zwyad(ji,jj,jk+1) - zlavmr * zuaad / fse3u(ji,jj,jk) |
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| 201 | zwwad(ji,jj,jk ) = zwwad(ji,jj,jk ) + zlavmr * zvaad / fse3v(ji,jj,jk) |
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| 202 | zwwad(ji,jj,jk+1) = zwwad(ji,jj,jk+1) - zlavmr * zvaad / fse3v(ji,jj,jk) |
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| 203 | END DO |
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| 204 | END DO |
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| 205 | END DO |
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| 206 | ! First vertical derivative |
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| 207 | DO jk = 2, jpk |
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| 208 | DO jj = 2, jpjm1 |
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| 209 | DO ji = 2, jpim1 |
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| 210 | zwxad(ji,jj,jk-1) = zwxad(ji,jj,jk-1) + avmu(ji,jj,jk) * zwyad(ji,jj,jk) / fse3uw(ji,jj,jk) |
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| 211 | zwxad(ji,jj,jk ) = zwxad(ji,jj,jk ) - avmu(ji,jj,jk) * zwyad(ji,jj,jk) / fse3uw(ji,jj,jk) |
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| 212 | zwyad(ji,jj,jk ) = 0.0_wp |
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| 213 | |
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| 214 | zwzad(ji,jj,jk-1) = zwzad(ji,jj,jk-1) + avmv(ji,jj,jk) * zwwad(ji,jj,jk) / fse3vw(ji,jj,jk) |
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| 215 | zwzad(ji,jj,jk ) = zwzad(ji,jj,jk ) - avmv(ji,jj,jk) * zwwad(ji,jj,jk) / fse3vw(ji,jj,jk) |
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| 216 | zwwad(ji,jj,jk ) = 0.0_wp |
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| 217 | END DO |
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| 218 | END DO |
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| 219 | END DO |
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| 220 | ! |
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| 221 | END DO |
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| 222 | ! |
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| 223 | ! Initialization of x, z and contingently trends array |
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| 224 | DO jk = 1, jpk |
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| 225 | DO jj = 2, jpjm1 |
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| 226 | DO ji = 2, jpim1 |
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| 227 | ub_ad(ji,jj,jk) = ub_ad(ji,jj,jk) + zwxad(ji,jj,jk) |
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| 228 | vb_ad(ji,jj,jk) = vb_ad(ji,jj,jk) + zwzad(ji,jj,jk) |
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| 229 | zwxad(ji,jj,jk) = 0.0_wp |
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| 230 | zwzad(ji,jj,jk) = 0.0_wp |
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| 231 | END DO |
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| 232 | END DO |
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| 233 | END DO |
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| 234 | ! ! =============== |
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| 235 | ! ! End of slab |
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| 236 | ! ! =============== |
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| 237 | ! |
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| 238 | CALL wrk_dealloc( jpi,jpj,jpk, zwxad, zwyad, zwzad, zwwad ) |
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| 239 | ! |
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| 240 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zdf_exp_adj') |
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| 241 | ! |
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| 242 | END SUBROUTINE dyn_zdf_exp_adj |
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| 243 | #endif |
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| 244 | !!============================================================================== |
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| 245 | END MODULE dynzdf_exp_tam |
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