[10838] | 1 | MODULE dynhpgs |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE dynhpgs *** |
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| 4 | !! Ocean dynamics: hydrostatic pressure gradient trend ; science routines |
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| 5 | !!====================================================================== |
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| 6 | !! History : OPA ! 1987-09 (P. Andrich, M.-A. Foujols) hpg_zco: Original code |
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| 7 | !! 5.0 ! 1991-11 (G. Madec) |
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| 8 | !! 7.0 ! 1996-01 (G. Madec) hpg_sco: Original code for s-coordinates |
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| 9 | !! 8.0 ! 1997-05 (G. Madec) split dynber into dynkeg and dynhpg |
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| 10 | !! 8.5 ! 2002-07 (G. Madec) F90: Free form and module |
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| 11 | !! 8.5 ! 2002-08 (A. Bozec) hpg_zps: Original code |
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| 12 | !! NEMO 1.0 ! 2005-10 (A. Beckmann, B.W. An) various s-coordinate options |
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| 13 | !! ! Original code for hpg_ctl, hpg_hel hpg_wdj, hpg_djc, hpg_rot |
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| 14 | !! - ! 2005-11 (G. Madec) style & small optimisation |
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| 15 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
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| 16 | !! 3.4 ! 2011-11 (H. Liu) hpg_prj: Original code for s-coordinates |
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| 17 | !! ! (A. Coward) suppression of hel, wdj and rot options |
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| 18 | !! 3.6 ! 2014-11 (P. Mathiot) hpg_isf: original code for ice shelf cavity |
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| 19 | !!---------------------------------------------------------------------- |
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| 20 | |
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| 21 | !!---------------------------------------------------------------------- |
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| 22 | !! hpg_zco : z-coordinate scheme |
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| 23 | !! hpg_zps : z-coordinate plus partial steps (interpolation) |
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| 24 | !! hpg_sco : s-coordinate (standard jacobian formulation) |
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| 25 | !!---------------------------------------------------------------------- |
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| 26 | ! |
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| 27 | USE par_kind |
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| 28 | USE len_oce |
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| 29 | USE in_out_manager |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | !! * Substitutions |
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| 33 | # include "vectopt_loop_substitute.h90" |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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| 36 | !! $Id: dynhpg.F90 9490 2018-04-23 08:44:07Z gm $ |
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| 37 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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| 38 | !!---------------------------------------------------------------------- |
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| 39 | CONTAINS |
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| 40 | |
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| 41 | |
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| 42 | SUBROUTINE hpg_zco( grav, r1_e1u, r1_e2v, e3w_n, rhd, ua, va, zhpi, zhpj) |
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| 43 | !!--------------------------------------------------------------------- |
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| 44 | !! *** ROUTINE hpg_zco *** |
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| 45 | !! |
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| 46 | !! ** Method : z-coordinate case, levels are horizontal surfaces. |
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| 47 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 48 | !! is computed by taking the vertical integral of the in-situ |
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| 49 | !! density gradient along the model level from the suface to that |
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| 50 | !! level: zhpi = grav ..... |
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| 51 | !! zhpj = grav ..... |
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| 52 | !! add it to the general momentum trend (ua,va). |
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| 53 | !! ua = ua - 1/e1u * zhpi |
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| 54 | !! va = va - 1/e2v * zhpj |
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| 55 | !! |
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| 56 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 57 | !!---------------------------------------------------------------------- |
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| 58 | REAL(wp), INTENT(in) :: grav |
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| 59 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: r1_e1u, r1_e2v |
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| 60 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: e3w_n, rhd |
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| 61 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: ua, va |
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| 62 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
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| 63 | REAL(wp) :: et |
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| 64 | |
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| 65 | !!---------------------------------------------------------------------- |
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| 66 | ! |
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| 67 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 68 | REAL(wp) :: zcoef0, zcoef1 ! temporary scalars |
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| 69 | !!---------------------------------------------------------------------- |
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| 70 | ! |
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| 71 | ! suppressed by MJB 27/10/2018 - should be moved to a control routine |
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| 72 | ! IF( kt == nit000 ) THEN |
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| 73 | ! IF(lwp) WRITE(numout,*) |
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| 74 | ! IF(lwp) WRITE(numout,*) 'dyn:hpg_zco : hydrostatic pressure gradient trend' |
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| 75 | ! IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate case ' |
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| 76 | ! ENDIF |
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| 77 | et = TIMER() |
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| 78 | |
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| 79 | !$ACC KERNELS |
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| 80 | zcoef0 = - grav * 0.5_wp ! Local constant initialization |
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| 81 | |
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| 82 | ! Surface value |
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| 83 | DO jj = 2, jpjm1 |
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| 84 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 85 | zcoef1 = zcoef0 * e3w_n(ji,jj,1) |
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| 86 | ! hydrostatic pressure gradient |
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| 87 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj,1) - rhd(ji,jj,1) ) * r1_e1u(ji,jj) |
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| 88 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji,jj+1,1) - rhd(ji,jj,1) ) * r1_e2v(ji,jj) |
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| 89 | ! add to the general momentum trend |
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| 90 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 91 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 92 | END DO |
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| 93 | END DO |
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| 94 | |
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| 95 | ! |
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| 96 | ! interior value (2=<jk=<jpkm1) |
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| 97 | DO jk = 2, jpkm1 |
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| 98 | DO jj = 2, jpjm1 |
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| 99 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 100 | zcoef1 = zcoef0 * e3w_n(ji,jj,jk) |
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| 101 | ! hydrostatic pressure gradient |
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| 102 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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| 103 | & + zcoef1 * ( ( rhd(ji+1,jj,jk)+rhd(ji+1,jj,jk-1) ) & |
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| 104 | & - ( rhd(ji ,jj,jk)+rhd(ji ,jj,jk-1) ) ) * r1_e1u(ji,jj) |
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| 105 | |
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| 106 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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| 107 | & + zcoef1 * ( ( rhd(ji,jj+1,jk)+rhd(ji,jj+1,jk-1) ) & |
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| 108 | & - ( rhd(ji,jj, jk)+rhd(ji,jj ,jk-1) ) ) * r1_e2v(ji,jj) |
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| 109 | ! add to the general momentum trend |
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| 110 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 111 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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| 112 | END DO |
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| 113 | END DO |
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| 114 | END DO |
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| 115 | ! |
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| 116 | !$ACC END KERNELS |
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| 117 | !hpg_zco_time = hpg_zco_time + (TIMER() - et) ! Moved time up the call tree |
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| 118 | |
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| 119 | END SUBROUTINE hpg_zco |
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| 120 | |
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| 121 | |
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| 122 | SUBROUTINE hpg_zps( grav, r1_e1u, r1_e2v, mbku, mbkv, gru, grv, e3w_n, rhd, ua, va, zhpi, zhpj ) |
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| 123 | !!--------------------------------------------------------------------- |
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| 124 | !! *** ROUTINE hpg_zps *** |
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| 125 | !! |
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| 126 | !! ** Method : z-coordinate plus partial steps case. blahblah... |
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| 127 | !! |
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| 128 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 129 | !!---------------------------------------------------------------------- |
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| 130 | |
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| 131 | REAL(wp), INTENT(in):: grav |
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| 132 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: r1_e1u, r1_e2v, gru, grv |
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| 133 | INTEGER, INTENT(in), DIMENSION(jpi,jpj) :: mbku, mbkv |
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| 134 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: e3w_n, rhd |
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| 135 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: ua, va |
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| 136 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
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| 137 | |
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| 138 | !!---------------------------------------------------------------------- |
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| 139 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 140 | INTEGER :: iku, ikv ! temporary integers |
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| 141 | REAL(wp) :: zcoef0, zcoef1, zcoef2, zcoef3 ! temporary scalars |
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| 142 | REAL(wp) :: et |
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| 143 | |
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| 144 | !!---------------------------------------------------------------------- |
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| 145 | ! |
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| 146 | ! suppressed by MJB 27/10/2018 - should be moved to a control routine |
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| 147 | ! IF( kt == nit000 ) THEN |
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| 148 | ! IF(lwp) WRITE(numout,*) |
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| 149 | ! IF(lwp) WRITE(numout,*) 'dyn:hpg_zps : hydrostatic pressure gradient trend' |
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| 150 | ! IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ z-coordinate with partial steps - vector optimization' |
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| 151 | ! ENDIF |
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| 152 | |
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| 153 | ! Partial steps: bottom before horizontal gradient of t, s, rd at the last ocean level |
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| 154 | !jc CALL zps_hde ( kt, jpts, tsn, gtsu, gtsv, rhd, gru , grv ) |
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| 155 | et = TIMER() |
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| 156 | !$ACC KERNELS |
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| 157 | |
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| 158 | ! Local constant initialization |
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| 159 | zcoef0 = - grav * 0.5_wp |
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| 160 | |
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| 161 | |
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| 162 | ! Surface value (also valid in partial step case) |
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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 | zcoef1 = zcoef0 * e3w_n(ji,jj,1) |
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| 166 | ! hydrostatic pressure gradient |
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| 167 | zhpi(ji,jj,1) = zcoef1 * ( rhd(ji+1,jj ,1) - rhd(ji,jj,1) ) * r1_e1u(ji,jj) |
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| 168 | zhpj(ji,jj,1) = zcoef1 * ( rhd(ji ,jj+1,1) - rhd(ji,jj,1) ) * r1_e2v(ji,jj) |
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| 169 | ! add to the general momentum trend |
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| 170 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) |
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| 171 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) |
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| 172 | END DO |
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| 173 | END DO |
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| 174 | |
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| 175 | ! interior value (2=<jk=<jpkm1) |
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| 176 | DO jk = 2, jpkm1 |
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| 177 | DO jj = 2, jpjm1 |
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| 178 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 179 | zcoef1 = zcoef0 * e3w_n(ji,jj,jk) |
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| 180 | ! hydrostatic pressure gradient |
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| 181 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) & |
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| 182 | & + zcoef1 * ( ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) ) & |
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| 183 | & - ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) ) ) * r1_e1u(ji,jj) |
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| 184 | |
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| 185 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) & |
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| 186 | & + zcoef1 * ( ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) ) & |
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| 187 | & - ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) ) ) * r1_e2v(ji,jj) |
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| 188 | ! add to the general momentum trend |
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| 189 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) |
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| 190 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) |
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| 191 | END DO |
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| 192 | END DO |
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| 193 | END DO |
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| 194 | |
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| 195 | ! partial steps correction at the last level (use gru & grv computed in zpshde.F90) |
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| 196 | DO jj = 2, jpjm1 |
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| 197 | DO ji = 2, jpim1 |
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| 198 | iku = mbku(ji,jj) |
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| 199 | ikv = mbkv(ji,jj) |
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| 200 | zcoef2 = zcoef0 * MIN( e3w_n(ji,jj,iku), e3w_n(ji+1,jj ,iku) ) |
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| 201 | zcoef3 = zcoef0 * MIN( e3w_n(ji,jj,ikv), e3w_n(ji ,jj+1,ikv) ) |
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| 202 | IF( iku > 1 ) THEN ! on i-direction (level 2 or more) |
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| 203 | ua (ji,jj,iku) = ua(ji,jj,iku) - zhpi(ji,jj,iku) ! subtract old value |
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| 204 | zhpi(ji,jj,iku) = zhpi(ji,jj,iku-1) & ! compute the new one |
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| 205 | & + zcoef2 * ( rhd(ji+1,jj,iku-1) - rhd(ji,jj,iku-1) + gru(ji,jj) ) * r1_e1u(ji,jj) |
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| 206 | ua (ji,jj,iku) = ua(ji,jj,iku) + zhpi(ji,jj,iku) ! add the new one to the general momentum trend |
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| 207 | ENDIF |
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| 208 | IF( ikv > 1 ) THEN ! on j-direction (level 2 or more) |
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| 209 | va (ji,jj,ikv) = va(ji,jj,ikv) - zhpj(ji,jj,ikv) ! subtract old value |
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| 210 | zhpj(ji,jj,ikv) = zhpj(ji,jj,ikv-1) & ! compute the new one |
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| 211 | & + zcoef3 * ( rhd(ji,jj+1,ikv-1) - rhd(ji,jj,ikv-1) + grv(ji,jj) ) * r1_e2v(ji,jj) |
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| 212 | va (ji,jj,ikv) = va(ji,jj,ikv) + zhpj(ji,jj,ikv) ! add the new one to the general momentum trend |
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| 213 | ENDIF |
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| 214 | END DO |
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| 215 | END DO |
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| 216 | !$ACC END KERNELS |
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| 217 | ! |
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| 218 | !hpg_zps_time = hpg_zps_time + (TIMER() - et) ! Moved timer up call tree |
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| 219 | |
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| 220 | END SUBROUTINE hpg_zps |
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| 221 | |
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| 222 | |
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| 223 | SUBROUTINE hpg_sco( grav, r1_e1u, r1_e2v, e3w_n, rhd, gde3w_n, ln_linssh, ua, va, zhpi, zhpj) |
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| 224 | !!--------------------------------------------------------------------- |
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| 225 | !! *** ROUTINE hpg_sco *** |
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| 226 | !! |
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| 227 | !! ** Method : s-coordinate case. Jacobian scheme. |
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| 228 | !! The now hydrostatic pressure gradient at a given level, jk, |
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| 229 | !! is computed by taking the vertical integral of the in-situ |
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| 230 | !! density gradient along the model level from the suface to that |
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| 231 | !! level. s-coordinates (ln_sco): a corrective term is added |
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| 232 | !! to the horizontal pressure gradient : |
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| 233 | !! zhpi = grav ..... + 1/e1u mi(rhd) di[ grav dep3w ] |
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| 234 | !! zhpj = grav ..... + 1/e2v mj(rhd) dj[ grav dep3w ] |
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| 235 | !! add it to the general momentum trend (ua,va). |
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| 236 | !! ua = ua - 1/e1u * zhpi |
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| 237 | !! va = va - 1/e2v * zhpj |
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| 238 | !! |
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| 239 | !! ** Action : - Update (ua,va) with the now hydrastatic pressure trend |
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| 240 | !!---------------------------------------------------------------------- |
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| 241 | REAL(wp), INTENT(in):: grav |
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| 242 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj) :: r1_e1u, r1_e2v |
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| 243 | REAL(wp), INTENT(in), DIMENSION(jpi,jpj,jpk) :: e3w_n, rhd, gde3w_n |
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| 244 | LOGICAL, INTENT(in):: ln_linssh |
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| 245 | REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: ua, va |
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| 246 | REAL(wp), INTENT(INOUT), DIMENSION(jpi,jpj,jpk) :: zhpi, zhpj |
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| 247 | |
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| 248 | !!---------------------------------------------------------------------- |
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| 249 | !! |
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| 250 | INTEGER :: ji, jj, jk, jii, jjj ! dummy loop indices |
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| 251 | REAL(wp) :: zcoef0, zuap, zvap, znad, ztmp ! temporary scalars |
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| 252 | LOGICAL :: ll_tmp1, ll_tmp2 ! local logical variables |
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| 253 | REAL(wp), DIMENSION(:,:), ALLOCATABLE :: zcpx, zcpy !W/D pressure filter |
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| 254 | REAL(wp) :: et |
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| 255 | !!---------------------------------------------------------------------- |
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| 256 | ! |
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| 257 | ! suppressed by MJB 27/10/2018 - should be moved to a control routine |
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| 258 | ! IF( kt == nit000 ) THEN |
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| 259 | ! IF(lwp) WRITE(numout,*) |
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| 260 | ! IF(lwp) WRITE(numout,*) 'dyn:hpg_sco : hydrostatic pressure gradient trend' |
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| 261 | ! IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ s-coordinate case, OPA original scheme used' |
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| 262 | ! ENDIF |
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| 263 | ! |
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| 264 | et = TIMER() |
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| 265 | zcoef0 = - grav * 0.5_wp |
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| 266 | IF ( ln_linssh ) THEN ; znad = 0._wp ! Fixed volume: density anomaly |
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| 267 | ELSE ; znad = 1._wp ! Variable volume: density |
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| 268 | ENDIF |
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| 269 | ! |
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| 270 | !$ACC KERNELS |
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| 271 | ! Surface value |
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| 272 | DO jj = 2, jpjm1 |
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| 273 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 274 | ! hydrostatic pressure gradient along s-surfaces |
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| 275 | zhpi(ji,jj,1) = zcoef0 * ( e3w_n(ji+1,jj ,1) * ( znad + rhd(ji+1,jj ,1) ) & |
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| 276 | & - e3w_n(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) * r1_e1u(ji,jj) |
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| 277 | zhpj(ji,jj,1) = zcoef0 * ( e3w_n(ji ,jj+1,1) * ( znad + rhd(ji ,jj+1,1) ) & |
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| 278 | & - e3w_n(ji ,jj ,1) * ( znad + rhd(ji ,jj ,1) ) ) * r1_e2v(ji,jj) |
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| 279 | ! s-coordinate pressure gradient correction |
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| 280 | zuap = -zcoef0 * ( rhd (ji+1,jj,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
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| 281 | & * ( gde3w_n(ji+1,jj,1) - gde3w_n(ji,jj,1) ) * r1_e1u(ji,jj) |
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| 282 | zvap = -zcoef0 * ( rhd (ji,jj+1,1) + rhd (ji,jj,1) + 2._wp * znad ) & |
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| 283 | & * ( gde3w_n(ji,jj+1,1) - gde3w_n(ji,jj,1) ) * r1_e2v(ji,jj) |
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| 284 | ! |
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| 285 | ! add to the general momentum trend |
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| 286 | ua(ji,jj,1) = ua(ji,jj,1) + zhpi(ji,jj,1) + zuap |
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| 287 | va(ji,jj,1) = va(ji,jj,1) + zhpj(ji,jj,1) + zvap |
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| 288 | END DO |
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| 289 | END DO |
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| 290 | |
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| 291 | ! interior value (2=<jk=<jpkm1) |
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| 292 | DO jk = 2, jpkm1 |
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| 293 | DO jj = 2, jpjm1 |
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| 294 | DO ji = fs_2, fs_jpim1 ! vector opt. |
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| 295 | ! hydrostatic pressure gradient along s-surfaces |
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| 296 | zhpi(ji,jj,jk) = zhpi(ji,jj,jk-1) + zcoef0 * r1_e1u(ji,jj) & |
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| 297 | & * ( e3w_n(ji+1,jj,jk) * ( rhd(ji+1,jj,jk) + rhd(ji+1,jj,jk-1) + 2*znad ) & |
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| 298 | & - e3w_n(ji ,jj,jk) * ( rhd(ji ,jj,jk) + rhd(ji ,jj,jk-1) + 2*znad ) ) |
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| 299 | zhpj(ji,jj,jk) = zhpj(ji,jj,jk-1) + zcoef0 * r1_e2v(ji,jj) & |
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| 300 | & * ( e3w_n(ji,jj+1,jk) * ( rhd(ji,jj+1,jk) + rhd(ji,jj+1,jk-1) + 2*znad ) & |
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| 301 | & - e3w_n(ji,jj ,jk) * ( rhd(ji,jj, jk) + rhd(ji,jj ,jk-1) + 2*znad ) ) |
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| 302 | ! s-coordinate pressure gradient correction |
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| 303 | zuap = -zcoef0 * ( rhd (ji+1,jj ,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
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| 304 | & * ( gde3w_n(ji+1,jj ,jk) - gde3w_n(ji,jj,jk) ) * r1_e1u(ji,jj) |
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| 305 | zvap = -zcoef0 * ( rhd (ji ,jj+1,jk) + rhd (ji,jj,jk) + 2._wp * znad ) & |
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| 306 | & * ( gde3w_n(ji ,jj+1,jk) - gde3w_n(ji,jj,jk) ) * r1_e2v(ji,jj) |
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| 307 | ! |
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| 308 | ! add to the general momentum trend |
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| 309 | ua(ji,jj,jk) = ua(ji,jj,jk) + zhpi(ji,jj,jk) + zuap |
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| 310 | va(ji,jj,jk) = va(ji,jj,jk) + zhpj(ji,jj,jk) + zvap |
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| 311 | END DO |
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| 312 | END DO |
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| 313 | END DO |
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| 314 | !$ACC END KERNELS |
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| 315 | ! |
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| 316 | !hpg_sco_time = hpg_sco_time + (TIMER() - et) ! Moved timer up the call tree |
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| 317 | END SUBROUTINE hpg_sco |
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| 318 | |
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| 319 | !!====================================================================== |
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| 320 | END MODULE dynhpgs |
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| 321 | |
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