[844] | 1 | MODULE compute_caldyn_Coriolis_mod |
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| 2 | USE grid_param, ONLY : llm |
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| 3 | IMPLICIT NONE |
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| 4 | PRIVATE |
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| 5 | |
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| 6 | PUBLIC :: compute_caldyn_Coriolis |
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| 7 | |
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| 8 | CONTAINS |
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| 9 | |
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| 10 | SUBROUTINE compute_caldyn_Coriolis(hflux,theta,qu, convm,dtheta_rhodz,du) |
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| 11 | USE icosa |
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| 12 | USE trace |
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| 13 | USE caldyn_vars_mod |
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| 14 | USE omp_para, ONLY : ll_begin, ll_end |
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| 15 | REAL(rstd),INTENT(IN) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
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| 16 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) ! active scalars |
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| 17 | REAL(rstd),INTENT(IN) :: qu(3*iim*jjm,llm) |
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| 18 | REAL(rstd),INTENT(OUT) :: convm(iim*jjm,llm) ! mass flux convergence |
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| 19 | REAL(rstd),INTENT(OUT) :: dtheta_rhodz(iim*jjm,llm,nqdyn) |
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| 20 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
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| 21 | |
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| 22 | REAL(rstd) :: Ftheta(3*iim*jjm,llm) ! potential temperature flux |
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| 23 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, du_trisk, divF |
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| 24 | INTEGER :: ij,iq,l,kdown |
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| 25 | |
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| 26 | CALL trace_start("compute_caldyn_Coriolis") |
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| 27 | |
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| 28 | IF(dysl_caldyn_coriolis) THEN |
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| 29 | |
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| 30 | #include "../kernels_hex/coriolis.k90" |
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| 31 | |
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| 32 | ELSE |
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| 33 | #define FTHETA(ij) Ftheta(ij,1) |
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| 34 | |
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| 35 | DO l=ll_begin, ll_end |
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| 36 | ! compute theta flux |
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| 37 | DO iq=1,nqdyn |
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| 38 | !DIR$ SIMD |
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| 39 | DO ij=ij_begin_ext,ij_end_ext |
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| 40 | FTHETA(ij+u_right) = 0.5*(theta(ij,l,iq)+theta(ij+t_right,l,iq)) & |
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| 41 | * hflux(ij+u_right,l) |
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| 42 | FTHETA(ij+u_lup) = 0.5*(theta(ij,l,iq)+theta(ij+t_lup,l,iq)) & |
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| 43 | * hflux(ij+u_lup,l) |
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| 44 | FTHETA(ij+u_ldown) = 0.5*(theta(ij,l,iq)+theta(ij+t_ldown,l,iq)) & |
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| 45 | * hflux(ij+u_ldown,l) |
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| 46 | END DO |
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| 47 | ! horizontal divergence of fluxes |
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| 48 | !DIR$ SIMD |
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| 49 | DO ij=ij_begin,ij_end |
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| 50 | ! dtheta_rhodz = -div(flux.theta) |
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| 51 | dtheta_rhodz(ij,l,iq)= & |
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| 52 | -1./Ai(ij)*(ne_right*FTHETA(ij+u_right) + & |
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| 53 | ne_rup*FTHETA(ij+u_rup) + & |
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| 54 | ne_lup*FTHETA(ij+u_lup) + & |
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| 55 | ne_left*FTHETA(ij+u_left) + & |
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| 56 | ne_ldown*FTHETA(ij+u_ldown) + & |
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| 57 | ne_rdown*FTHETA(ij+u_rdown) ) |
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| 58 | END DO |
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| 59 | END DO |
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| 60 | |
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| 61 | !DIR$ SIMD |
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| 62 | DO ij=ij_begin,ij_end |
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| 63 | ! convm = -div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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| 64 | convm(ij,l)= -1./Ai(ij)*(ne_right*hflux(ij+u_right,l) + & |
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| 65 | ne_rup*hflux(ij+u_rup,l) + & |
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| 66 | ne_lup*hflux(ij+u_lup,l) + & |
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| 67 | ne_left*hflux(ij+u_left,l) + & |
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| 68 | ne_ldown*hflux(ij+u_ldown,l) + & |
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| 69 | ne_rdown*hflux(ij+u_rdown,l)) |
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| 70 | END DO ! ij |
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| 71 | END DO ! llm |
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| 72 | |
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| 73 | !!! Compute potential vorticity (Coriolis) contribution to du |
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| 74 | SELECT CASE(caldyn_conserv) |
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| 75 | |
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| 76 | CASE(conserv_energy) ! energy-conserving TRiSK |
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| 77 | |
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| 78 | DO l=ll_begin,ll_end |
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| 79 | !DIR$ SIMD |
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| 80 | DO ij=ij_begin,ij_end |
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| 81 | uu_right = & |
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| 82 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)*(qu(ij+u_right,l)+qu(ij+u_rup,l))+ & |
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| 83 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)*(qu(ij+u_right,l)+qu(ij+u_lup,l))+ & |
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| 84 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
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| 85 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+u_ldown,l))+ & |
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| 86 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+u_rdown,l))+ & |
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| 87 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_ldown,l))+ & |
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| 88 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_rdown,l))+ & |
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| 89 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_right,l))+ & |
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| 90 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_rup,l))+ & |
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| 91 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_lup,l)) |
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| 92 | uu_lup = & |
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| 93 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*(qu(ij+u_lup,l)+qu(ij+u_left,l)) + & |
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| 94 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+u_ldown,l)) + & |
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| 95 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
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| 96 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*(qu(ij+u_lup,l)+qu(ij+u_right,l)) + & |
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| 97 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+u_rup,l)) + & |
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| 98 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_right,l)) + & |
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| 99 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_rup,l)) + & |
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| 100 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_lup,l)) + & |
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| 101 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_left,l)) + & |
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| 102 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_ldown,l)) |
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| 103 | uu_ldown = & |
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| 104 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+u_rdown,l)) + & |
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| 105 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+u_right,l)) + & |
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| 106 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
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| 107 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+u_lup,l)) + & |
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| 108 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+u_left,l)) + & |
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| 109 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_lup,l)) + & |
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| 110 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_left,l)) + & |
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| 111 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_ldown,l)) + & |
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| 112 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_rdown,l)) + & |
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| 113 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_right,l)) |
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| 114 | du(ij+u_right,l) = du(ij+u_right,l) + .5*uu_right |
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| 115 | du(ij+u_lup,l) = du(ij+u_lup,l) + .5*uu_lup |
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| 116 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + .5*uu_ldown |
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| 117 | ENDDO |
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| 118 | ENDDO |
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| 119 | |
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| 120 | CASE(conserv_gassmann) ! energy-conserving TRiSK modified by Gassmann (2018) |
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| 121 | |
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| 122 | DO l=ll_begin,ll_end |
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| 123 | !DIR$ SIMD |
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| 124 | DO ij=ij_begin,ij_end |
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| 125 | uu_right = & |
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| 126 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l) *qu(ij+t_right+u_lup,l)+ & |
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| 127 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l) *qu(ij+u_rup,l)+ & |
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| 128 | .5*wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
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| 129 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*qu(ij+u_rdown,l)+ & |
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| 130 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
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| 131 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*qu(ij+u_rdown,l)+ & |
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| 132 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
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| 133 | .5*wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_right,l))+ & |
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| 134 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*qu(ij+t_right+u_lup,l)+ & |
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| 135 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*qu(ij+u_rup,l) |
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| 136 | uu_lup = & |
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| 137 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
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| 138 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*qu(ij+u_left,l) + & |
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| 139 | .5*wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
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| 140 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*qu(ij+u_rup,l) + & |
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| 141 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*qu(ij+t_lup+u_right,l)+ & |
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| 142 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*qu(ij+u_rup,l) + & |
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| 143 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*qu(ij+t_lup+u_right,l) + & |
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| 144 | .5*wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_lup,l)) + & |
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| 145 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
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| 146 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*qu(ij+u_left,l) |
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| 147 | uu_ldown = & |
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| 148 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*qu(ij+t_ldown,l+u_right) + & |
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| 149 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*qu(ij+u_rdown,l) + & |
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| 150 | .5*wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
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| 151 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*qu(ij+u_left,l) + & |
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| 152 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
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| 153 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*qu(ij+u_left,l) + & |
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| 154 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
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| 155 | .5*wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_ldown,l)) + & |
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| 156 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*qu(ij+t_ldown+u_right,l) + & |
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| 157 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*qu(ij+u_rdown,l) |
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| 158 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right |
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| 159 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup |
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| 160 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown |
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| 161 | ENDDO |
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| 162 | ENDDO |
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| 163 | |
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| 164 | CASE(conserv_enstrophy) ! enstrophy-conserving TRiSK |
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| 165 | |
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| 166 | DO l=ll_begin,ll_end |
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| 167 | !DIR$ SIMD |
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| 168 | DO ij=ij_begin,ij_end |
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| 169 | uu_right = & |
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| 170 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)+ & |
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| 171 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)+ & |
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| 172 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)+ & |
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| 173 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)+ & |
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| 174 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)+ & |
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| 175 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)+ & |
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| 176 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)+ & |
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| 177 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)+ & |
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| 178 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)+ & |
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| 179 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l) |
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| 180 | uu_lup = & |
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| 181 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)+ & |
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| 182 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)+ & |
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| 183 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)+ & |
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| 184 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)+ & |
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| 185 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)+ & |
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| 186 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)+ & |
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| 187 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)+ & |
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| 188 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)+ & |
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| 189 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)+ & |
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| 190 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l) |
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| 191 | uu_ldown = & |
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| 192 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)+ & |
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| 193 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)+ & |
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| 194 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)+ & |
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| 195 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)+ & |
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| 196 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)+ & |
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| 197 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)+ & |
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| 198 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)+ & |
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| 199 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)+ & |
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| 200 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)+ & |
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| 201 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l) |
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| 202 | |
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| 203 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right*qu(ij+u_right,l) |
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| 204 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup*qu(ij+u_lup,l) |
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| 205 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown*qu(ij+u_ldown,l) |
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| 206 | END DO |
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| 207 | END DO |
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| 208 | CASE DEFAULT |
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| 209 | STOP |
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| 210 | END SELECT |
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| 211 | #undef FTHETA |
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| 212 | |
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| 213 | END IF ! dysl |
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| 214 | |
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| 215 | CALL trace_end("compute_caldyn_Coriolis") |
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| 216 | |
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| 217 | END SUBROUTINE compute_caldyn_Coriolis |
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| 218 | |
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| 219 | END MODULE compute_caldyn_Coriolis_mod |
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