| 1 | MODULE dynzdf_imp |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynzdf_imp *** |
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| 4 | !! Ocean dynamics: vertical component(s) of the momentum mixing trend |
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| 5 | !!====================================================================== |
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| 6 | !! History : OPA ! 1990-10 (B. Blanke) Original code |
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| 7 | !! 8.0 ! 1997-05 (G. Madec) vertical component of isopycnal |
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| 8 | !! NEMO 0.5 ! 2002-08 (G. Madec) F90: Free form and module |
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| 9 | !! 3.3 ! 2010-04 (M. Leclair, G. Madec) Forcing averaged over 2 time steps |
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| 10 | !! 3.4 ! 2012-01 (H. Liu) Semi-implicit bottom friction |
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| 11 | !!---------------------------------------------------------------------- |
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| 12 | |
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| 13 | !!---------------------------------------------------------------------- |
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| 14 | !! dyn_zdf_imp : update the momentum trend with the vertical diffusion using a implicit time-stepping |
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| 15 | !!---------------------------------------------------------------------- |
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| 16 | USE oce ! ocean dynamics and tracers |
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| 17 | USE dom_oce ! ocean space and time domain |
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| 18 | USE domvvl ! variable volume |
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| 19 | USE sbc_oce ! surface boundary condition: ocean |
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| 20 | USE zdf_oce ! ocean vertical physics |
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| 21 | USE phycst ! physical constants |
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| 22 | USE in_out_manager ! I/O manager |
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| 23 | USE lib_mpp ! MPP library |
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| 24 | USE zdfbfr ! Bottom friction setup |
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| 25 | USE wrk_nemo ! Memory Allocation |
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| 26 | USE timing ! Timing |
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| 27 | USE dynadv ! dynamics: vector invariant versus flux form |
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| 28 | USE dynspg_oce, ONLY: lk_dynspg_ts |
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| 29 | |
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| 30 | IMPLICIT NONE |
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| 31 | PRIVATE |
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| 32 | |
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| 33 | PUBLIC dyn_zdf_imp ! called by step.F90 |
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| 34 | |
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| 35 | REAL(wp) :: r_vvl ! variable volume indicator, =1 if lk_vvl=T, =0 otherwise |
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| 36 | |
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| 37 | !! * Substitutions |
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| 38 | # include "domzgr_substitute.h90" |
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| 39 | # include "vectopt_loop_substitute.h90" |
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| 40 | !!---------------------------------------------------------------------- |
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| 41 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 42 | !! $Id$ |
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| 43 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 44 | !!---------------------------------------------------------------------- |
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| 45 | CONTAINS |
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| 46 | |
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| 47 | SUBROUTINE dyn_zdf_imp( kt, p2dt ) |
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| 48 | !!---------------------------------------------------------------------- |
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| 49 | !! *** ROUTINE dyn_zdf_imp *** |
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| 50 | !! |
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| 51 | !! ** Purpose : Compute the trend due to the vert. momentum diffusion |
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| 52 | !! and the surface forcing, and add it to the general trend of |
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| 53 | !! the momentum equations. |
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| 54 | !! |
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| 55 | !! ** Method : The vertical momentum mixing trend is given by : |
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| 56 | !! dz( avmu dz(u) ) = 1/e3u dk+1( avmu/e3uw dk(ua) ) |
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| 57 | !! backward time stepping |
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| 58 | !! Surface boundary conditions: wind stress input (averaged over kt-1/2 & kt+1/2) |
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| 59 | !! Bottom boundary conditions : bottom stress (cf zdfbfr.F) |
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| 60 | !! Add this trend to the general trend ua : |
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| 61 | !! ua = ua + dz( avmu dz(u) ) |
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| 62 | !! |
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| 63 | !! ** Action : - Update (ua,va) arrays with the after vertical diffusive mixing trend. |
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| 64 | !!--------------------------------------------------------------------- |
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| 65 | INTEGER , INTENT(in) :: kt ! ocean time-step index |
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| 66 | REAL(wp), INTENT(in) :: p2dt ! vertical profile of tracer time-step |
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| 67 | !! |
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| 68 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 69 | INTEGER :: ikbu, ikbv ! local integers |
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| 70 | REAL(wp) :: z1_p2dt, zcoef, zzwi, zzws, zrhs ! local scalars |
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| 71 | REAL(wp) :: ze3ua, ze3va |
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| 72 | REAL(wp), POINTER, DIMENSION(:,:,:) :: zwi, zwd, zws |
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| 73 | !!---------------------------------------------------------------------- |
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| 74 | ! |
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| 75 | IF( nn_timing == 1 ) CALL timing_start('dyn_zdf_imp') |
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| 76 | ! |
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| 77 | CALL wrk_alloc( jpi,jpj,jpk, zwi, zwd, zws ) |
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| 78 | ! |
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| 79 | IF( kt == nit000 ) THEN |
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| 80 | IF(lwp) WRITE(numout,*) |
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| 81 | IF(lwp) WRITE(numout,*) 'dyn_zdf_imp : vertical momentum diffusion implicit operator' |
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| 82 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ ' |
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| 83 | ! |
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| 84 | IF( lk_vvl ) THEN ; r_vvl = 1._wp ! Variable volume indicator |
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| 85 | ELSE ; r_vvl = 0._wp |
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| 86 | ENDIF |
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| 87 | ENDIF |
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| 88 | |
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| 89 | ! 0. Local constant initialization |
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| 90 | ! -------------------------------- |
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| 91 | z1_p2dt = 1._wp / p2dt ! inverse of the timestep |
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| 92 | |
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| 93 | ! 1. Apply semi-implicit bottom friction |
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| 94 | ! -------------------------------------- |
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| 95 | ! Only needed for semi-implicit bottom friction setup. The explicit |
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| 96 | ! bottom friction has been included in "u(v)a" which act as the R.H.S |
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| 97 | ! column vector of the tri-diagonal matrix equation |
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| 98 | ! |
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| 99 | |
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| 100 | IF( ln_bfrimp ) THEN |
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| 101 | !$OMP PARALLEL DO PRIVATE(ikbu, ikbv) SHARED(mbku, mbkv) |
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| 102 | DO jj = 2, jpjm1 |
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| 103 | DO ji = 2, jpim1 |
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| 104 | ikbu = mbku(ji,jj) ! ocean bottom level at u- and v-points |
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| 105 | ikbv = mbkv(ji,jj) ! (deepest ocean u- and v-points) |
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| 106 | avmu(ji,jj,ikbu+1) = -bfrua(ji,jj) * fse3uw(ji,jj,ikbu+1) |
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| 107 | avmv(ji,jj,ikbv+1) = -bfrva(ji,jj) * fse3vw(ji,jj,ikbv+1) |
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| 108 | END DO |
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| 109 | END DO |
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| 110 | IF ( ln_isfcav ) THEN |
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| 111 | !$OMP PARALLEL DO PRIVATE(ikbu, ikbv) SHARED(miku, mikv) |
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| 112 | DO jj = 2, jpjm1 |
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| 113 | DO ji = 2, jpim1 |
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| 114 | ikbu = miku(ji,jj) ! ocean top level at u- and v-points |
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| 115 | ikbv = mikv(ji,jj) ! (first wet ocean u- and v-points) |
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| 116 | IF (ikbu .GE. 2) avmu(ji,jj,ikbu) = -tfrua(ji,jj) * fse3uw(ji,jj,ikbu) |
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| 117 | IF (ikbv .GE. 2) avmv(ji,jj,ikbv) = -tfrva(ji,jj) * fse3vw(ji,jj,ikbv) |
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| 118 | END DO |
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| 119 | END DO |
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| 120 | END IF |
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| 121 | ENDIF |
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| 122 | |
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| 123 | #if defined key_dynspg_ts |
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| 124 | IF( ln_dynadv_vec .OR. .NOT. lk_vvl ) THEN ! applied on velocity |
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| 125 | !$OMP PARALLEL DO |
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| 126 | DO jk = 1, jpkm1 |
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| 127 | ua(:,:,jk) = ( ub(:,:,jk) + p2dt * ua(:,:,jk) ) * umask(:,:,jk) |
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| 128 | va(:,:,jk) = ( vb(:,:,jk) + p2dt * va(:,:,jk) ) * vmask(:,:,jk) |
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| 129 | END DO |
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| 130 | ELSE ! applied on thickness weighted velocity |
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| 131 | !$OMP PARALLEL DO |
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| 132 | DO jk = 1, jpkm1 |
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| 133 | ua(:,:,jk) = ( ub(:,:,jk) * fse3u_b(:,:,jk) & |
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| 134 | & + p2dt * ua(:,:,jk) * fse3u_n(:,:,jk) ) & |
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| 135 | & / fse3u_a(:,:,jk) * umask(:,:,jk) |
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| 136 | va(:,:,jk) = ( vb(:,:,jk) * fse3v_b(:,:,jk) & |
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| 137 | & + p2dt * va(:,:,jk) * fse3v_n(:,:,jk) ) & |
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| 138 | & / fse3v_a(:,:,jk) * vmask(:,:,jk) |
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| 139 | END DO |
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| 140 | ENDIF |
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| 141 | |
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| 142 | IF ( ln_bfrimp .AND.lk_dynspg_ts ) THEN |
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| 143 | ! remove barotropic velocities: |
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| 144 | !$OMP PARALLEL DO |
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| 145 | DO jk = 1, jpkm1 |
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| 146 | ua(:,:,jk) = (ua(:,:,jk) - ua_b(:,:)) * umask(:,:,jk) |
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| 147 | va(:,:,jk) = (va(:,:,jk) - va_b(:,:)) * vmask(:,:,jk) |
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| 148 | END DO |
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| 149 | ! Add bottom/top stress due to barotropic component only: |
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| 150 | !$OMP PARALLEL DO PRIVATE(ikbu, ikbv, ze3ua, ze3va) |
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| 151 | DO jj = 2, jpjm1 |
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| 152 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 153 | ikbu = mbku(ji,jj) ! ocean bottom level at u- and v-points |
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| 154 | ikbv = mbkv(ji,jj) ! (deepest ocean u- and v-points) |
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| 155 | ze3ua = ( 1._wp - r_vvl ) * fse3u_n(ji,jj,ikbu) + r_vvl * fse3u_a(ji,jj,ikbu) |
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| 156 | ze3va = ( 1._wp - r_vvl ) * fse3v_n(ji,jj,ikbv) + r_vvl * fse3v_a(ji,jj,ikbv) |
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| 157 | ua(ji,jj,ikbu) = ua(ji,jj,ikbu) + p2dt * bfrua(ji,jj) * ua_b(ji,jj) / ze3ua |
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| 158 | va(ji,jj,ikbv) = va(ji,jj,ikbv) + p2dt * bfrva(ji,jj) * va_b(ji,jj) / ze3va |
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| 159 | END DO |
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| 160 | END DO |
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| 161 | IF ( ln_isfcav ) THEN |
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| 162 | !$OMP PARALLEL DO PRIVATE(ikbu, ikbv, ze3ua, ze3va) |
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| 163 | DO jj = 2, jpjm1 |
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| 164 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 165 | ikbu = miku(ji,jj) ! top ocean level at u- and v-points |
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| 166 | ikbv = mikv(ji,jj) ! (first wet ocean u- and v-points) |
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| 167 | ze3ua = ( 1._wp - r_vvl ) * fse3u_n(ji,jj,ikbu) + r_vvl * fse3u_a(ji,jj,ikbu) |
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| 168 | ze3va = ( 1._wp - r_vvl ) * fse3v_n(ji,jj,ikbv) + r_vvl * fse3v_a(ji,jj,ikbv) |
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| 169 | ua(ji,jj,ikbu) = ua(ji,jj,ikbu) + p2dt * tfrua(ji,jj) * ua_b(ji,jj) / ze3ua |
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| 170 | va(ji,jj,ikbv) = va(ji,jj,ikbv) + p2dt * tfrva(ji,jj) * va_b(ji,jj) / ze3va |
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| 171 | END DO |
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| 172 | END DO |
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| 173 | END IF |
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| 174 | ENDIF |
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| 175 | #endif |
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| 176 | |
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| 177 | ! 2. Vertical diffusion on u |
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| 178 | ! --------------------------- |
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| 179 | ! Matrix and second member construction |
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| 180 | ! bottom boundary condition: both zwi and zws must be masked as avmu can take |
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| 181 | ! non zero value at the ocean bottom depending on the bottom friction used. |
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| 182 | ! |
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| 183 | !$OMP PARALLEL DO PRIVATE(ze3ua, zcoef, zzwi, zzws) |
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| 184 | DO jk = 1, jpkm1 ! Matrix |
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| 185 | DO jj = 2, jpjm1 |
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| 186 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 187 | ze3ua = ( 1._wp - r_vvl ) * fse3u_n(ji,jj,jk) + r_vvl * fse3u_a(ji,jj,jk) ! after scale factor at T-point |
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| 188 | zcoef = - p2dt / ze3ua |
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| 189 | zzwi = zcoef * avmu (ji,jj,jk ) / fse3uw(ji,jj,jk ) |
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| 190 | zwi(ji,jj,jk) = zzwi * wumask(ji,jj,jk ) |
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| 191 | zzws = zcoef * avmu (ji,jj,jk+1) / fse3uw(ji,jj,jk+1) |
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| 192 | zws(ji,jj,jk) = zzws * wumask(ji,jj,jk+1) |
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| 193 | zwd(ji,jj,jk) = 1._wp - zzwi - zzws |
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| 194 | END DO |
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| 195 | END DO |
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| 196 | END DO |
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| 197 | !$OMP PARALLEL DO |
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| 198 | DO jj = 2, jpjm1 ! Surface boundary conditions |
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| 199 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 200 | zwi(ji,jj,1) = 0._wp |
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| 201 | zwd(ji,jj,1) = 1._wp - zws(ji,jj,1) |
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| 202 | END DO |
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| 203 | END DO |
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| 204 | |
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| 205 | ! Matrix inversion starting from the first level |
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| 206 | !----------------------------------------------------------------------- |
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| 207 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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| 208 | ! |
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| 209 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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| 210 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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| 211 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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| 212 | ! ( ... )( ... ) ( ... ) |
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| 213 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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| 214 | ! |
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| 215 | ! m is decomposed in the product of an upper and a lower triangular matrix |
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| 216 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
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| 217 | ! The solution (the after velocity) is in ua |
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| 218 | !----------------------------------------------------------------------- |
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| 219 | ! |
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| 220 | !== First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 (increasing k) == |
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| 221 | !$OMP PARALLEL |
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| 222 | DO jk = 2, jpkm1 |
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| 223 | !$OMP DO |
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| 224 | DO jj = 2, jpjm1 |
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| 225 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 226 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
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| 227 | END DO |
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| 228 | END DO |
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| 229 | END DO |
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| 230 | !$OMP END PARALLEL |
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| 231 | ! |
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| 232 | #if defined key_dynspg_ts |
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| 233 | !$OMP PARALLEL DO PRIVATE(ze3ua) |
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| 234 | DO jj = 2, jpjm1 !== second recurrence: SOLk = RHSk - Lk / Dk-1 Lk-1 == |
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| 235 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 236 | ze3ua = ( 1._wp - r_vvl ) * fse3u_n(ji,jj,1) + r_vvl * fse3u_a(ji,jj,1) |
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| 237 | ua(ji,jj,1) = ua(ji,jj,1) + p2dt * 0.5_wp * ( utau_b(ji,jj) + utau(ji,jj) ) & |
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| 238 | & / ( ze3ua * rau0 ) * umask(ji,jj,1) |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | #else |
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| 242 | !$OMP PARALLEL DO |
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| 243 | DO jj = 2, jpjm1 !== second recurrence: SOLk = RHSk - Lk / Dk-1 Lk-1 == |
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| 244 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 245 | ua(ji,jj,1) = ub(ji,jj,1) & |
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| 246 | & + p2dt *(ua(ji,jj,1) + 0.5_wp * ( utau_b(ji,jj) + utau(ji,jj) ) & |
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| 247 | & / ( fse3u(ji,jj,1) * rau0 ) * umask(ji,jj,1) ) |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | #endif |
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| 251 | !$OMP PARALLEL PRIVATE(zrhs) |
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| 252 | DO jk = 2, jpkm1 |
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| 253 | !$OMP DO |
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| 254 | DO jj = 2, jpjm1 |
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| 255 | DO ji = fs_2, fs_jpim1 |
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| 256 | #if defined key_dynspg_ts |
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| 257 | zrhs = ua(ji,jj,jk) ! zrhs=right hand side |
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| 258 | #else |
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| 259 | zrhs = ub(ji,jj,jk) + p2dt * ua(ji,jj,jk) |
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| 260 | #endif |
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| 261 | ua(ji,jj,jk) = zrhs - zwi(ji,jj,jk) / zwd(ji,jj,jk-1) * ua(ji,jj,jk-1) |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | END DO |
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| 265 | !$OMP END PARALLEL |
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| 266 | ! |
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| 267 | !$OMP PARALLEL DO |
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| 268 | DO jj = 2, jpjm1 !== thrid recurrence : SOLk = ( Lk - Uk * Ek+1 ) / Dk == |
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| 269 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 270 | ua(ji,jj,jpkm1) = ua(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
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| 271 | END DO |
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| 272 | END DO |
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| 273 | !$OMP PARALLEL |
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| 274 | DO jk = jpk-2, 1, -1 |
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| 275 | !$OMP DO |
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| 276 | DO jj = 2, jpjm1 |
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| 277 | DO ji = fs_2, fs_jpim1 |
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| 278 | ua(ji,jj,jk) = ( ua(ji,jj,jk) - zws(ji,jj,jk) * ua(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
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| 279 | END DO |
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| 280 | END DO |
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| 281 | END DO |
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| 282 | !$OMP END PARALLEL |
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| 283 | |
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| 284 | #if ! defined key_dynspg_ts |
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| 285 | ! Normalization to obtain the general momentum trend ua |
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| 286 | !$OMP PARALLEL DO |
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| 287 | DO jk = 1, jpkm1 |
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| 288 | DO jj = 2, jpjm1 |
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| 289 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 290 | ua(ji,jj,jk) = ( ua(ji,jj,jk) - ub(ji,jj,jk) ) * z1_p2dt |
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| 291 | END DO |
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| 292 | END DO |
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| 293 | END DO |
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| 294 | #endif |
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| 295 | |
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| 296 | ! 3. Vertical diffusion on v |
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| 297 | ! --------------------------- |
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| 298 | ! Matrix and second member construction |
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| 299 | ! bottom boundary condition: both zwi and zws must be masked as avmv can take |
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| 300 | ! non zero value at the ocean bottom depending on the bottom friction used |
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| 301 | ! |
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| 302 | !$OMP PARALLEL |
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| 303 | !$OMP DO PRIVATE(ze3va, zcoef, zzwi, zzws) |
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| 304 | DO jk = 1, jpkm1 ! Matrix |
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| 305 | DO jj = 2, jpjm1 |
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| 306 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 307 | ze3va = ( 1._wp - r_vvl ) * fse3v_n(ji,jj,jk) + r_vvl * fse3v_a(ji,jj,jk) ! after scale factor at T-point |
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| 308 | zcoef = - p2dt / ze3va |
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| 309 | zzwi = zcoef * avmv (ji,jj,jk ) / fse3vw(ji,jj,jk ) |
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| 310 | zwi(ji,jj,jk) = zzwi * wvmask(ji,jj,jk) |
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| 311 | zzws = zcoef * avmv (ji,jj,jk+1) / fse3vw(ji,jj,jk+1) |
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| 312 | zws(ji,jj,jk) = zzws * wvmask(ji,jj,jk+1) |
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| 313 | zwd(ji,jj,jk) = 1._wp - zzwi - zzws |
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| 314 | END DO |
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| 315 | END DO |
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| 316 | END DO |
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| 317 | !$OMP DO |
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| 318 | DO jj = 2, jpjm1 ! Surface boundary conditions |
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| 319 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 320 | zwi(ji,jj,1) = 0._wp |
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| 321 | zwd(ji,jj,1) = 1._wp - zws(ji,jj,1) |
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| 322 | END DO |
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| 323 | END DO |
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| 324 | !$OMP END PARALLEL |
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| 325 | |
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| 326 | ! Matrix inversion |
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| 327 | !----------------------------------------------------------------------- |
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| 328 | ! solve m.x = y where m is a tri diagonal matrix ( jpk*jpk ) |
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| 329 | ! |
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| 330 | ! ( zwd1 zws1 0 0 0 )( zwx1 ) ( zwy1 ) |
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| 331 | ! ( zwi2 zwd2 zws2 0 0 )( zwx2 ) ( zwy2 ) |
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| 332 | ! ( 0 zwi3 zwd3 zws3 0 )( zwx3 )=( zwy3 ) |
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| 333 | ! ( ... )( ... ) ( ... ) |
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| 334 | ! ( 0 0 0 zwik zwdk )( zwxk ) ( zwyk ) |
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| 335 | ! |
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| 336 | ! m is decomposed in the product of an upper and lower triangular matrix |
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| 337 | ! The 3 diagonal terms are in 2d arrays: zwd, zws, zwi |
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| 338 | ! The solution (after velocity) is in 2d array va |
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| 339 | !----------------------------------------------------------------------- |
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| 340 | ! |
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| 341 | !== First recurrence : Dk = Dk - Lk * Uk-1 / Dk-1 (increasing k) == |
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| 342 | !$OMP PARALLEL |
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| 343 | DO jk = 2, jpkm1 |
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| 344 | !$OMP DO |
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| 345 | DO jj = 2, jpjm1 |
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| 346 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 347 | zwd(ji,jj,jk) = zwd(ji,jj,jk) - zwi(ji,jj,jk) * zws(ji,jj,jk-1) / zwd(ji,jj,jk-1) |
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| 348 | END DO |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | !$OMP END PARALLEL |
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| 352 | ! |
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| 353 | !$OMP PARALLEL DO PRIVATE(ze3va) |
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| 354 | DO jj = 2, jpjm1 !== second recurrence: SOLk = RHSk - Lk / Dk-1 Lk-1 == |
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| 355 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 356 | #if defined key_dynspg_ts |
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| 357 | ze3va = ( 1._wp - r_vvl ) * fse3v_n(ji,jj,1) + r_vvl * fse3v_a(ji,jj,1) |
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| 358 | va(ji,jj,1) = va(ji,jj,1) + p2dt * 0.5_wp * ( vtau_b(ji,jj) + vtau(ji,jj) ) & |
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| 359 | & / ( ze3va * rau0 ) * vmask(ji,jj,1) |
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| 360 | #else |
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| 361 | va(ji,jj,1) = vb(ji,jj,1) & |
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| 362 | & + p2dt *(va(ji,jj,1) + 0.5_wp * ( vtau_b(ji,jj) + vtau(ji,jj) ) & |
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| 363 | & / ( fse3v(ji,jj,1) * rau0 ) * vmask(ji,jj,1) ) |
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| 364 | #endif |
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| 365 | END DO |
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| 366 | END DO |
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| 367 | !$OMP PARALLEL |
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| 368 | DO jk = 2, jpkm1 |
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| 369 | !$OMP DO PRIVATE(zrhs) |
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| 370 | DO jj = 2, jpjm1 |
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| 371 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 372 | #if defined key_dynspg_ts |
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| 373 | zrhs = va(ji,jj,jk) ! zrhs=right hand side |
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| 374 | #else |
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| 375 | zrhs = vb(ji,jj,jk) + p2dt * va(ji,jj,jk) |
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| 376 | #endif |
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| 377 | va(ji,jj,jk) = zrhs - zwi(ji,jj,jk) / zwd(ji,jj,jk-1) * va(ji,jj,jk-1) |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | END DO |
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| 381 | !$OMP END PARALLEL |
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| 382 | ! |
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| 383 | !$OMP PARALLEL DO |
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| 384 | DO jj = 2, jpjm1 !== third recurrence : SOLk = ( Lk - Uk * SOLk+1 ) / Dk == |
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| 385 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 386 | va(ji,jj,jpkm1) = va(ji,jj,jpkm1) / zwd(ji,jj,jpkm1) |
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| 387 | END DO |
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| 388 | END DO |
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| 389 | |
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| 390 | !$OMP PARALLEL |
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| 391 | DO jk = jpk-2, 1, -1 |
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| 392 | !$OMP DO |
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| 393 | DO jj = 2, jpjm1 |
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| 394 | DO ji = fs_2, fs_jpim1 |
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| 395 | va(ji,jj,jk) = ( va(ji,jj,jk) - zws(ji,jj,jk) * va(ji,jj,jk+1) ) / zwd(ji,jj,jk) |
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| 396 | END DO |
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| 397 | END DO |
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| 398 | END DO |
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| 399 | !$OMP END PARALLEL |
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| 400 | |
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| 401 | ! Normalization to obtain the general momentum trend va |
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| 402 | #if ! defined key_dynspg_ts |
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| 403 | !$OMP PARALLEL DO |
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| 404 | DO jk = 1, jpkm1 |
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| 405 | DO jj = 2, jpjm1 |
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| 406 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 407 | va(ji,jj,jk) = ( va(ji,jj,jk) - vb(ji,jj,jk) ) * z1_p2dt |
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| 408 | END DO |
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| 409 | END DO |
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| 410 | END DO |
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| 411 | #endif |
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| 412 | |
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| 413 | ! J. Chanut: Lines below are useless ? |
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| 414 | !! restore bottom layer avmu(v) |
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| 415 | IF( ln_bfrimp ) THEN |
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| 416 | !$OMP PARALLEL PRIVATE(ikbu, ikbv) |
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| 417 | !$OMP DO |
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| 418 | DO jj = 2, jpjm1 |
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| 419 | DO ji = 2, jpim1 |
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| 420 | ikbu = mbku(ji,jj) ! ocean bottom level at u- and v-points |
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| 421 | ikbv = mbkv(ji,jj) ! (deepest ocean u- and v-points) |
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| 422 | avmu(ji,jj,ikbu+1) = 0.e0 |
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| 423 | avmv(ji,jj,ikbv+1) = 0.e0 |
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| 424 | END DO |
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| 425 | END DO |
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| 426 | IF (ln_isfcav) THEN |
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| 427 | !$OMP DO |
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| 428 | DO jj = 2, jpjm1 |
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| 429 | DO ji = 2, jpim1 |
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| 430 | ikbu = miku(ji,jj) ! ocean top level at u- and v-points |
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| 431 | ikbv = mikv(ji,jj) ! (first wet ocean u- and v-points) |
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| 432 | IF (ikbu > 1) avmu(ji,jj,ikbu) = 0.e0 |
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| 433 | IF (ikbv > 1) avmv(ji,jj,ikbv) = 0.e0 |
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| 434 | END DO |
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| 435 | END DO |
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| 436 | END IF |
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| 437 | !$OMP END PARALLEL |
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| 438 | ENDIF |
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| 439 | ! |
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| 440 | CALL wrk_dealloc( jpi,jpj,jpk, zwi, zwd, zws) |
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| 441 | ! |
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| 442 | IF( nn_timing == 1 ) CALL timing_stop('dyn_zdf_imp') |
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| 443 | ! |
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| 444 | END SUBROUTINE dyn_zdf_imp |
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| 445 | |
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| 446 | !!============================================================================== |
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| 447 | END MODULE dynzdf_imp |
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