[456] | 1 | MODULE dynhpg_jki |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynhpg_jki *** |
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| 4 | !! Ocean dynamics: hydrostatic pressure gradient trend |
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| 5 | !!====================================================================== |
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[503] | 6 | !! History : 9.0 ! 06-09 (G. Madec) From dynhpg module |
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| 7 | !!---------------------------------------------------------------------- |
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[456] | 8 | |
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| 9 | !!---------------------------------------------------------------------- |
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[503] | 10 | !! hpg_sco_jki : update the momentum trend with the horizontal |
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| 11 | !! gradient of the hydrostatic pressure (s-coordinate) |
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| 12 | !! hpg_zps_jki : update the momentum trend with the horizontal |
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| 13 | !! gradient of the hydrostatic pressure (partial step) |
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| 14 | !! hpg_zco_jki : update the momentum trend with the horizontal |
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| 15 | !! gradient of the hydrostatic pressure (z-coordinate) |
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[456] | 16 | !!---------------------------------------------------------------------- |
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| 17 | USE oce ! ocean dynamics and tracers |
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| 18 | USE dom_oce ! ocean space and time domain |
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| 19 | USE phycst ! physical constants |
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| 20 | USE in_out_manager ! I/O manager |
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| 21 | USE lbclnk ! lateral boundary condition |
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| 22 | |
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| 23 | IMPLICIT NONE |
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| 24 | PRIVATE |
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| 25 | |
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[503] | 26 | PUBLIC hpg_sco_jki ! routine called by step.F90 |
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| 27 | PUBLIC hpg_zps_jki ! routine called by step.F90 |
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| 28 | PUBLIC hpg_zco_jki ! routine called by step.F90 |
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[456] | 29 | |
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| 30 | !! * Substitutions |
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| 31 | # include "domzgr_substitute.h90" |
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| 32 | # include "vectopt_loop_substitute.h90" |
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| 33 | !!---------------------------------------------------------------------- |
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| 34 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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[503] | 35 | !! $Header$ |
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| 36 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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[456] | 37 | !!---------------------------------------------------------------------- |
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| 38 | |
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| 39 | CONTAINS |
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| 40 | |
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| 41 | SUBROUTINE hpg_sco_jki( kt ) |
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| 42 | !!--------------------------------------------------------------------- |
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| 43 | !! *** ROUTINE hpg_sco_jki *** |
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| 44 | !! |
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| 45 | !! ** Purpose : Compute the now momentum trend due to the horizontal |
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| 46 | !! gradient of the hydrostatic pressure. Add it to the general |
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| 47 | !! momentum trend. |
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| 48 | !! |
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| 49 | !! ** Method : The now hydrostatic pressure gradient at a given level |
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| 50 | !! jk is computed by taking the vertical integral of the in-situ |
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| 51 | !! density gradient along the model level from the suface to that |
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| 52 | !! level. s-coordinate case (ln_sco=T): a corrective term is |
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| 53 | !! added to the horizontal pressure gradient : |
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| 54 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
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| 55 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
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| 56 | !! add it to the general momentum trend (ua,va). |
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| 57 | !! ua = ua - 1/e1u * zhpi |
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| 58 | !! va = va - 1/e2v * zhpj |
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| 59 | !! j-k-i loop (j-slab) ('key_mpp_omp') |
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| 60 | !! |
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| 61 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 62 | !! - Save the trend in (ztrdu,ztrdv) ('key_trddyn') |
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| 63 | !!---------------------------------------------------------------------- |
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| 64 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 65 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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[456] | 66 | !! |
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[503] | 67 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 68 | !! |
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| 69 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 70 | REAL(wp) :: zcoef0, zuap, zvap ! temporary scalars |
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[456] | 71 | !!---------------------------------------------------------------------- |
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| 72 | |
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| 73 | IF( kt == nit000 ) THEN |
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| 74 | IF(lwp) WRITE(numout,*) |
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| 75 | IF(lwp) WRITE(numout,*) 'hpg_sco_jki : s-coordinate hydrostatic pressure gradient trend' |
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| 76 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ OpenMP / NEC autotasking case (j-k-i loop)' |
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| 77 | ENDIF |
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| 78 | |
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[503] | 79 | ! Local constant initialization |
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[456] | 80 | zcoef0 = - grav * 0.5 |
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| 81 | zuap = 0.e0 |
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| 82 | zvap = 0.e0 |
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| 83 | |
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| 84 | ! ! =============== |
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| 85 | DO jj = 2, jpjm1 ! Vertical slab |
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| 86 | ! ! =============== |
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[503] | 87 | DO ji = 2, jpim1 ! Surface value |
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[456] | 88 | ! hydrostatic pressure gradient along s-surfaces |
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| 89 | zhpi(ji,jj,1) = zcoef0 / e1u(ji,jj) & |
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| 90 | * ( fse3w(ji+1,jj,1) * rhd(ji+1,jj,1) - fse3w(ji,jj,1) * rhd(ji,jj,1) ) |
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| 91 | zhpj(ji,jj,1) = zcoef0 / e2v(ji,jj) & |
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| 92 | * ( fse3w(ji,jj+1,1) * rhd(ji,jj+1,1) - fse3w(ji,jj,1) * rhd(ji,jj,1) ) |
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| 93 | ! s-coordinate pressure gradient correction |
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| 94 | zuap = -zcoef0 * ( rhd(ji+1,jj,1) + rhd(ji,jj,1) ) & |
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| 95 | * ( fsde3w(ji+1,jj,1) - fsde3w(ji,jj,1) ) / e1u(ji,jj) |
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| 96 | zvap = -zcoef0 * ( rhd(ji,jj+1,1) + rhd(ji,jj,1) ) & |
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| 97 | * ( fsde3w(ji,jj+1,1) - fsde3w(ji,jj,1) ) / e2v(ji,jj) |
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| 98 | ! add to the general momentum trend |
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| 99 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
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| 100 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
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| 101 | END DO |
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[503] | 102 | ! |
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| 103 | DO jk = 2, jpkm1 ! interior value (2=<jk=<jpkm1) |
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[456] | 104 | DO ji = 2, jpim1 |
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| 105 | ! hydrostatic pressure gradient along s-surfaces |
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| 106 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 / e1u(ji,jj) & |
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| 107 | & * ( fse3w(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
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| 108 | & -fse3w(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) |
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| 109 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 / e2v(ji,jj) & |
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| 110 | & * ( fse3w(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
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| 111 | & -fse3w(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) |
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| 112 | ! s-coordinate pressure gradient correction |
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| 113 | zuap = -zcoef0 * ( rhd(ji+1,jj ,jk) + rhd(ji,jj,jk) ) & |
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| 114 | * ( fsde3w(ji+1,jj,jk) - fsde3w(ji,jj,jk) ) / e1u(ji,jj) |
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| 115 | zvap = -zcoef0 * ( rhd(ji ,jj+1,jk) + rhd(ji,jj,jk) ) & |
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| 116 | * ( fsde3w(ji,jj+1,jk) - fsde3w(ji,jj,jk) ) / e2v(ji,jj) |
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| 117 | ! add to the general momentum trend |
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| 118 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
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| 119 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
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| 120 | END DO |
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| 121 | END DO |
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| 122 | ! ! =============== |
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| 123 | END DO ! End of slab |
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| 124 | ! ! =============== |
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| 125 | END SUBROUTINE hpg_sco_jki |
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| 126 | |
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| 127 | |
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| 128 | SUBROUTINE hpg_zps_jki( kt ) |
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| 129 | !!--------------------------------------------------------------------- |
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| 130 | !! *** ROUTINE hpg_zps_jki *** |
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| 131 | !! |
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| 132 | !! ** Purpose : Compute the now momentum trend due to the hor. gradient |
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| 133 | !! of the hydrostatic pressure. Add it to the general momentum trend. |
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| 134 | !! |
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| 135 | !! ** Method : The now hydrostatic pressure gradient at a given level |
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| 136 | !! jk is computed by taking the vertical integral of the in-situ |
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| 137 | !! density gradient along the model level from the suface to that |
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| 138 | !! level: zhpi = grav ..... |
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| 139 | !! zhpj = grav ..... |
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| 140 | !! add it to the general momentum trend (ua,va). |
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| 141 | !! ua = ua - 1/e1u * zhpi |
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| 142 | !! va = va - 1/e2v * zhpj |
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| 143 | !! j-k-i loop (j-slab) ('key_mpp_omp') |
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| 144 | !! |
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| 145 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 146 | !! - Save the trend in (ztrdu,ztrdv) ('key_trddyn') |
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| 147 | !!---------------------------------------------------------------------- |
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| 148 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 149 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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[456] | 150 | !! |
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[503] | 151 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 152 | !! |
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| 153 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 154 | INTEGER :: iku, ikv ! temporary integers |
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| 155 | REAL(wp) :: zcoef0, zcoef1, zuap ! temporary scalars |
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| 156 | REAL(wp) :: zcoef2, zcoef3, zvap ! " " |
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[456] | 157 | !!---------------------------------------------------------------------- |
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| 158 | |
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| 159 | IF( kt == nit000 ) THEN |
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| 160 | IF(lwp) WRITE(numout,*) |
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| 161 | IF(lwp) WRITE(numout,*) 'hpg_zps_jki : z-coord. partial steps hydrostatic pressure gradient trend' |
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| 162 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ OpenMP / NEC autotasking case (j-k-i loop)' |
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| 163 | ENDIF |
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| 164 | |
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[503] | 165 | ! Local constant initialization |
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[456] | 166 | zcoef0 = - grav * 0.5 |
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| 167 | zuap = 0.e0 |
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| 168 | zvap = 0.e0 |
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| 169 | ! ! =============== |
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| 170 | DO jj = 2, jpjm1 ! Vertical slab |
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| 171 | ! ! =============== |
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[503] | 172 | DO ji = 2, jpim1 ! Surface value |
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[456] | 173 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 174 | ! hydrostatic pressure gradient |
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| 175 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 176 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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| 177 | ! add to the general momentum trend |
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| 178 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 179 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 180 | END DO |
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[503] | 181 | ! |
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| 182 | DO jk = 2, jpkm1 ! interior value (2=<jk=<jpkm1) |
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[456] | 183 | DO ji = 2, jpim1 |
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| 184 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 185 | ! hydrostatic pressure gradient |
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| 186 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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| 187 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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| 188 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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| 189 | |
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| 190 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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| 191 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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| 192 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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| 193 | ! add to the general momentum trend |
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| 194 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 195 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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| 196 | END DO |
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| 197 | END DO |
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[503] | 198 | ! |
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[456] | 199 | ! partial steps correction at the last level (new gradient with intgrd.F) |
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| 200 | DO ji = 2, jpim1 |
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| 201 | iku = MIN ( mbathy(ji,jj), mbathy(ji+1,jj) ) - 1 |
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| 202 | ikv = MIN ( mbathy(ji,jj), mbathy(ji,jj+1) ) - 1 |
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| 203 | zcoef2 = zcoef0 * MIN( fse3w(ji,jj,iku), fse3w(ji+1,jj ,iku) ) |
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| 204 | zcoef3 = zcoef0 * MIN( fse3w(ji,jj,ikv), fse3w(ji ,jj+1,ikv) ) |
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| 205 | ! on i-direction |
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| 206 | IF ( iku > 2 ) THEN |
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| 207 | ! subtract old value |
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| 208 | ua(ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) |
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| 209 | ! compute the new one |
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| 210 | zhpi (ji,jj,iku) = zhpi(ji,jj,iku-1) & |
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| 211 | + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) / e1u(ji,jj) |
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| 212 | ! add the new one to the general momentum trend |
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| 213 | ua(ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) |
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| 214 | ENDIF |
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| 215 | ! on j-direction |
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| 216 | IF ( ikv > 2 ) THEN |
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| 217 | ! subtract old value |
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| 218 | va(ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) |
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| 219 | ! compute the new one |
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| 220 | zhpj (ji,jj,ikv) = zhpj(ji,jj,ikv-1) & |
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| 221 | + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) / e2v(ji,jj) |
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| 222 | ! add the new one to the general momentum trend |
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| 223 | va(ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) |
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| 224 | ENDIF |
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| 225 | END DO |
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| 226 | ! ! =============== |
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| 227 | END DO ! End of slab |
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| 228 | ! ! =============== |
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| 229 | END SUBROUTINE hpg_zps_jki |
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| 230 | |
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| 231 | |
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| 232 | SUBROUTINE hpg_zco_jki( kt ) |
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| 233 | !!--------------------------------------------------------------------- |
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| 234 | !! *** ROUTINE hpg_zco_jki *** |
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| 235 | !! |
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| 236 | !! ** Purpose : Compute the now momentum trend due to the horizontal |
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| 237 | !! gradient of the hydrostatic pressure. Add it to the general |
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| 238 | !! momentum trend. |
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| 239 | !! |
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| 240 | !! ** Method : The now hydrostatic pressure gradient at a given level |
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| 241 | !! jk is computed by taking the vertical integral of the in-situ |
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| 242 | !! density gradient along the model level from the suface to that |
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| 243 | !! level: zhpi = grav ..... |
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| 244 | !! zhpj = grav ..... |
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| 245 | !! add it to the general momentum trend (ua,va). |
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| 246 | !! ua = ua - 1/e1u * zhpi |
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| 247 | !! va = va - 1/e2v * zhpj |
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| 248 | !! j-k-i loop (j-slab) ('key_mpp_omp') |
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| 249 | !! |
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| 250 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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[503] | 251 | !! - Save the trend in (ztrdu,ztrdv) ('key_trddyn') |
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| 252 | !!---------------------------------------------------------------------- |
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| 253 | USE oce, ONLY : zhpi => ta ! use ta as 3D workspace |
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| 254 | USE oce, ONLY : zhpj => sa ! use sa as 3D workspace |
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[456] | 255 | !! |
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[503] | 256 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 257 | !! |
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| 258 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 259 | REAL(wp) :: zcoef0, zcoef1, zuap, zvap ! temporary scalars |
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[456] | 260 | !!---------------------------------------------------------------------- |
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| 261 | |
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| 262 | IF( kt == nit000 ) THEN |
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| 263 | IF(lwp) WRITE(numout,*) |
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| 264 | IF(lwp) WRITE(numout,*) 'hpg_zco_jki : z-coordinate hydrostatic pressure gradient trend' |
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| 265 | IF(lwp) WRITE(numout,*) '~~~~~~~~~~~~ OpenMP / NEC auto-tasking (j-k-i loop)' |
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| 266 | ENDIF |
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| 267 | |
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[503] | 268 | ! Local constant initialization |
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[456] | 269 | zcoef0 = - grav * 0.5 |
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| 270 | zuap = 0.e0 |
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| 271 | zvap = 0.e0 |
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| 272 | |
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| 273 | ! ! =============== |
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| 274 | DO jj = 2, jpjm1 ! Vertical slab |
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| 275 | ! ! =============== |
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[503] | 276 | DO ji = 2, jpim1 ! Surface value |
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[456] | 277 | zcoef1 = zcoef0 * fse3w(ji,jj,1) |
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| 278 | ! hydrostatic pressure gradient |
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| 279 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) / e1u(ji,jj) |
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| 280 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) / e2v(ji,jj) |
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| 281 | ! add to the general momentum trend |
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| 282 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 283 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 284 | END DO |
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[503] | 285 | ! |
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| 286 | DO jk = 2, jpkm1 ! interior value (2=<jk=<jpkm1) |
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[456] | 287 | DO ji = 2, jpim1 |
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| 288 | zcoef1 = zcoef0 * fse3w(ji,jj,jk) |
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| 289 | ! hydrostatic pressure gradient |
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| 290 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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| 291 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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| 292 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) / e1u(ji,jj) |
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| 293 | |
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| 294 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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| 295 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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| 296 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) / e2v(ji,jj) |
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| 297 | ! add to the general momentum trend |
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| 298 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 299 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | ! ! =============== |
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| 303 | END DO ! End of slab |
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| 304 | ! ! =============== |
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| 305 | END SUBROUTINE hpg_zco_jki |
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| 306 | |
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| 307 | !!====================================================================== |
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| 308 | END MODULE dynhpg_jki |
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