[3] | 1 | MODULE obcrad |
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| 2 | !!================================================================================= |
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| 3 | !! *** MODULE obcrad *** |
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| 4 | !! Ocean dynamic : Phase velocities for each open boundary |
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| 5 | !!================================================================================= |
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| 6 | #if defined key_obc |
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| 7 | !!--------------------------------------------------------------------------------- |
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| 8 | !! obc_rad : call the subroutine for each open boundary |
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| 9 | !! obc_rad_east : compute the east phase velocities |
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| 10 | !! obc_rad_west : compute the west phase velocities |
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| 11 | !! obc_rad_north : compute the north phase velocities |
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| 12 | !! obc_rad_south : compute the south phase velocities |
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| 13 | !!--------------------------------------------------------------------------------- |
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| 14 | USE oce ! ocean dynamics and tracers variables |
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| 15 | USE dom_oce ! ocean space and time domain variables |
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| 16 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
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| 17 | USE phycst ! physical constants |
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| 18 | USE obc_oce ! ocean open boundary conditions |
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| 19 | USE lib_mpp ! for mppobc |
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| 20 | USE in_out_manager ! I/O units |
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| 21 | |
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| 22 | IMPLICIT NONE |
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| 23 | PRIVATE |
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| 24 | |
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[2715] | 25 | PUBLIC obc_rad ! routine called by step.F90 |
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[3] | 26 | |
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| 27 | INTEGER :: ji, jj, jk ! dummy loop indices |
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| 28 | |
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| 29 | INTEGER :: & ! ... boundary space indices |
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| 30 | nib = 1, & ! nib = boundary point |
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| 31 | nibm = 2, & ! nibm = 1st interior point |
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| 32 | nibm2 = 3, & ! nibm2 = 2nd interior point |
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| 33 | ! ... boundary time indices |
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| 34 | nit = 1, & ! nit = now |
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| 35 | nitm = 2, & ! nitm = before |
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| 36 | nitm2 = 3 ! nitm2 = before-before |
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| 37 | |
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| 38 | !! * Substitutions |
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| 39 | # include "obc_vectopt_loop_substitute.h90" |
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| 40 | !!--------------------------------------------------------------------------------- |
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[2528] | 41 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 42 | !! $Id$ |
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[2528] | 43 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 44 | !!--------------------------------------------------------------------------------- |
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| 45 | |
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| 46 | CONTAINS |
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| 47 | |
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| 48 | SUBROUTINE obc_rad ( kt ) |
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| 49 | !!------------------------------------------------------------------------------ |
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| 50 | !! SUBROUTINE obc_rad |
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| 51 | !! ******************** |
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| 52 | !! ** Purpose : |
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| 53 | !! Perform swap of arrays to calculate radiative phase speeds at the open |
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| 54 | !! boundaries and calculate those phase speeds if the open boundaries are |
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| 55 | !! not fixed. In case of fixed open boundaries does nothing. |
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| 56 | !! |
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[78] | 57 | !! The logical variable lp_obc_east, and/or lp_obc_west, and/or lp_obc_north, |
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| 58 | !! and/or lp_obc_south allow the user to determine which boundary is an |
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[3] | 59 | !! open one (must be done in the param_obc.h90 file). |
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| 60 | !! |
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| 61 | !! ** Reference : |
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| 62 | !! Marchesiello P., 1995, these de l'universite J. Fourier, Grenoble, France. |
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| 63 | !! |
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| 64 | !! History : |
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| 65 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 from the |
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| 66 | !! J. Molines and G. Madec version |
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| 67 | !!------------------------------------------------------------------------------ |
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| 68 | INTEGER, INTENT( in ) :: kt |
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| 69 | !!---------------------------------------------------------------------- |
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| 70 | |
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[78] | 71 | IF( lp_obc_east .AND. .NOT.lfbceast ) CALL obc_rad_east ( kt ) ! East open boundary |
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[3] | 72 | |
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[78] | 73 | IF( lp_obc_west .AND. .NOT.lfbcwest ) CALL obc_rad_west ( kt ) ! West open boundary |
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[3] | 74 | |
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[78] | 75 | IF( lp_obc_north .AND. .NOT.lfbcnorth ) CALL obc_rad_north( kt ) ! North open boundary |
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[3] | 76 | |
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[78] | 77 | IF( lp_obc_south .AND. .NOT.lfbcsouth ) CALL obc_rad_south( kt ) ! South open boundary |
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[3] | 78 | |
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[32] | 79 | END SUBROUTINE obc_rad |
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[3] | 80 | |
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| 81 | |
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| 82 | SUBROUTINE obc_rad_east ( kt ) |
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| 83 | !!------------------------------------------------------------------------------ |
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[32] | 84 | !! *** SUBROUTINE obc_rad_east *** |
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| 85 | !! |
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[3] | 86 | !! ** Purpose : |
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| 87 | !! Perform swap of arrays to calculate radiative phase speeds at the open |
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| 88 | !! east boundary and calculate those phase speeds if this OBC is not fixed. |
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| 89 | !! In case of fixed OBC, this subrountine is not called. |
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| 90 | !! |
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| 91 | !! History : |
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| 92 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 93 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 94 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 95 | !! ! 00-06 (J.-M. Molines) |
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| 96 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
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| 97 | !!------------------------------------------------------------------------------ |
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| 98 | !! * Arguments |
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| 99 | INTEGER, INTENT( in ) :: kt |
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| 100 | |
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| 101 | !! * Local declarations |
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[32] | 102 | INTEGER :: ij |
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[3] | 103 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
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| 104 | REAL(wp) :: zucb, zucbm, zucbm2 |
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| 105 | !!------------------------------------------------------------------------------ |
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| 106 | |
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| 107 | ! 1. Swap arrays before calculating radiative velocities |
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| 108 | ! ------------------------------------------------------ |
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| 109 | |
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| 110 | ! 1.1 zonal velocity |
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| 111 | ! ------------------- |
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| 112 | |
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[2152] | 113 | IF( kt > nit000 .OR. ln_rstart ) THEN |
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[3] | 114 | |
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| 115 | ! ... advance in time (time filter, array swap) |
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| 116 | DO jk = 1, jpkm1 |
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| 117 | DO jj = 1, jpj |
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| 118 | uebnd(jj,jk,nib ,nitm2) = uebnd(jj,jk,nib ,nitm)*uemsk(jj,jk) |
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| 119 | uebnd(jj,jk,nibm ,nitm2) = uebnd(jj,jk,nibm ,nitm)*uemsk(jj,jk) |
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| 120 | uebnd(jj,jk,nibm2,nitm2) = uebnd(jj,jk,nibm2,nitm)*uemsk(jj,jk) |
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| 121 | END DO |
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| 122 | END DO |
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| 123 | ! ... fields nitm <== nit plus time filter at the boundary |
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| 124 | DO ji = fs_nie0, fs_nie1 ! Vector opt. |
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| 125 | DO jk = 1, jpkm1 |
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| 126 | DO jj = 1, jpj |
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| 127 | uebnd(jj,jk,nib ,nitm) = uebnd(jj,jk,nib, nit)*uemsk(jj,jk) |
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| 128 | uebnd(jj,jk,nibm ,nitm) = uebnd(jj,jk,nibm ,nit)*uemsk(jj,jk) |
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| 129 | uebnd(jj,jk,nibm2,nitm) = uebnd(jj,jk,nibm2,nit)*uemsk(jj,jk) |
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| 130 | ! ... fields nit <== now (kt+1) |
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| 131 | ! ... Total or baroclinic velocity at b, bm and bm2 |
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| 132 | zucb = un(ji,jj,jk) |
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| 133 | zucbm = un(ji-1,jj,jk) |
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| 134 | zucbm2 = un(ji-2,jj,jk) |
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| 135 | uebnd(jj,jk,nib ,nit) = zucb *uemsk(jj,jk) |
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| 136 | uebnd(jj,jk,nibm ,nit) = zucbm *uemsk(jj,jk) |
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| 137 | uebnd(jj,jk,nibm2,nit) = zucbm2 *uemsk(jj,jk) |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | END DO |
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[2715] | 141 | IF( lk_mpp ) CALL mppobc(uebnd,jpjed,jpjef,jpieob,jpk*3*3,2,jpj, numout ) |
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[32] | 142 | |
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[3] | 143 | ! ... extremeties nie0, nie1 |
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| 144 | ij = jpjed +1 - njmpp |
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| 145 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 146 | DO jk = 1,jpkm1 |
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| 147 | uebnd(ij,jk,nibm,nitm) = uebnd(ij+1 ,jk,nibm,nitm) |
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| 148 | END DO |
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| 149 | END IF |
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| 150 | ij = jpjef +1 - njmpp |
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| 151 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 152 | DO jk = 1,jpkm1 |
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| 153 | uebnd(ij,jk,nibm,nitm) = uebnd(ij-1 ,jk,nibm,nitm) |
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| 154 | END DO |
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| 155 | END IF |
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| 156 | |
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| 157 | ! 1.2 tangential velocity |
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| 158 | ! ----------------------- |
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| 159 | |
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| 160 | ! ... advance in time (time filter, array swap) |
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| 161 | DO jk = 1, jpkm1 |
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| 162 | DO jj = 1, jpj |
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| 163 | ! ... fields nitm2 <== nitm |
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| 164 | vebnd(jj,jk,nib ,nitm2) = vebnd(jj,jk,nib ,nitm)*vemsk(jj,jk) |
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| 165 | vebnd(jj,jk,nibm ,nitm2) = vebnd(jj,jk,nibm ,nitm)*vemsk(jj,jk) |
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| 166 | vebnd(jj,jk,nibm2,nitm2) = vebnd(jj,jk,nibm2,nitm)*vemsk(jj,jk) |
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| 167 | END DO |
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| 168 | END DO |
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| 169 | |
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| 170 | DO ji = fs_nie0+1, fs_nie1+1 ! Vector opt. |
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| 171 | DO jk = 1, jpkm1 |
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| 172 | DO jj = 1, jpj |
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| 173 | vebnd(jj,jk,nib ,nitm) = vebnd(jj,jk,nib, nit)*vemsk(jj,jk) |
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| 174 | vebnd(jj,jk,nibm ,nitm) = vebnd(jj,jk,nibm ,nit)*vemsk(jj,jk) |
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| 175 | vebnd(jj,jk,nibm2,nitm) = vebnd(jj,jk,nibm2,nit)*vemsk(jj,jk) |
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| 176 | ! ... fields nit <== now (kt+1) |
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| 177 | vebnd(jj,jk,nib ,nit) = vn(ji ,jj,jk)*vemsk(jj,jk) |
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| 178 | vebnd(jj,jk,nibm ,nit) = vn(ji-1,jj,jk)*vemsk(jj,jk) |
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| 179 | vebnd(jj,jk,nibm2,nit) = vn(ji-2,jj,jk)*vemsk(jj,jk) |
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| 180 | END DO |
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| 181 | END DO |
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| 182 | END DO |
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[2715] | 183 | IF( lk_mpp ) CALL mppobc(vebnd,jpjed,jpjef,jpieob+1,jpk*3*3,2,jpj, numout ) |
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[32] | 184 | |
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[3] | 185 | !... extremeties nie0, nie1 |
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| 186 | ij = jpjed +1 - njmpp |
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| 187 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 188 | DO jk = 1,jpkm1 |
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| 189 | vebnd(ij,jk,nibm,nitm) = vebnd(ij+1 ,jk,nibm,nitm) |
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| 190 | END DO |
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| 191 | END IF |
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| 192 | ij = jpjef +1 - njmpp |
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| 193 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 194 | DO jk = 1,jpkm1 |
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| 195 | vebnd(ij,jk,nibm,nitm) = vebnd(ij-1 ,jk,nibm,nitm) |
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| 196 | END DO |
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| 197 | END IF |
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| 198 | |
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| 199 | ! 1.3 Temperature and salinity |
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| 200 | ! ---------------------------- |
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| 201 | |
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| 202 | ! ... advance in time (time filter, array swap) |
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| 203 | DO jk = 1, jpkm1 |
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| 204 | DO jj = 1, jpj |
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| 205 | ! ... fields nitm <== nit plus time filter at the boundary |
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| 206 | tebnd(jj,jk,nib,nitm) = tebnd(jj,jk,nib,nit)*temsk(jj,jk) |
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| 207 | sebnd(jj,jk,nib,nitm) = sebnd(jj,jk,nib,nit)*temsk(jj,jk) |
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| 208 | END DO |
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| 209 | END DO |
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| 210 | |
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| 211 | DO ji = fs_nie0+1, fs_nie1+1 ! Vector opt. |
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| 212 | DO jk = 1, jpkm1 |
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| 213 | DO jj = 1, jpj |
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| 214 | tebnd(jj,jk,nibm,nitm) = tebnd(jj,jk,nibm,nit)*temsk(jj,jk) |
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| 215 | sebnd(jj,jk,nibm,nitm) = sebnd(jj,jk,nibm,nit)*temsk(jj,jk) |
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| 216 | ! ... fields nit <== now (kt+1) |
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[3294] | 217 | tebnd(jj,jk,nib ,nit) = tsn(ji ,jj,jk,jp_tem)*temsk(jj,jk) |
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| 218 | tebnd(jj,jk,nibm ,nit) = tsn(ji-1,jj,jk,jp_tem)*temsk(jj,jk) |
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| 219 | sebnd(jj,jk,nib ,nit) = tsn(ji ,jj,jk,jp_sal)*temsk(jj,jk) |
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| 220 | sebnd(jj,jk,nibm ,nit) = tsn(ji-1,jj,jk,jp_sal)*temsk(jj,jk) |
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[3] | 221 | END DO |
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| 222 | END DO |
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| 223 | END DO |
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[2715] | 224 | IF( lk_mpp ) CALL mppobc(tebnd,jpjed,jpjef,jpieob+1,jpk*2*2,2,jpj, numout ) |
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| 225 | IF( lk_mpp ) CALL mppobc(sebnd,jpjed,jpjef,jpieob+1,jpk*2*2,2,jpj, numout ) |
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[32] | 226 | |
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[3] | 227 | ! ... extremeties nie0, nie1 |
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| 228 | ij = jpjed +1 - njmpp |
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| 229 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 230 | DO jk = 1,jpkm1 |
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| 231 | tebnd(ij,jk,nibm,nitm) = tebnd(ij+1 ,jk,nibm,nitm) |
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| 232 | sebnd(ij,jk,nibm,nitm) = sebnd(ij+1 ,jk,nibm,nitm) |
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| 233 | END DO |
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| 234 | END IF |
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| 235 | ij = jpjef +1 - njmpp |
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| 236 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 237 | DO jk = 1,jpkm1 |
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| 238 | tebnd(ij,jk,nibm,nitm) = tebnd(ij-1 ,jk,nibm,nitm) |
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| 239 | sebnd(ij,jk,nibm,nitm) = sebnd(ij-1 ,jk,nibm,nitm) |
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| 240 | END DO |
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| 241 | END IF |
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| 242 | |
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| 243 | END IF ! End of array swap |
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| 244 | |
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| 245 | ! 2 - Calculation of radiation velocities |
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| 246 | ! --------------------------------------- |
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| 247 | |
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| 248 | IF( kt >= nit000 +3 .OR. ln_rstart ) THEN |
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| 249 | |
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| 250 | ! 2.1 Calculate the normal velocity U based on phase velocity u_cxebnd |
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| 251 | ! --------------------------------------------------------------------- |
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| 252 | ! |
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| 253 | ! nibm2 nibm nib |
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| 254 | ! | nibm | nib |/// |
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| 255 | ! | | | | |/// |
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| 256 | ! jj-line --f----v----f----v----f--- |
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| 257 | ! | | | | |/// |
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| 258 | ! | | |/// |
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| 259 | ! jj-line u T u T u/// |
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| 260 | ! | | |/// |
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| 261 | ! | | | | |/// |
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| 262 | ! jpieob-2 jpieob-1 jpieob |
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| 263 | ! | | |
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| 264 | ! jpieob-1 jpieob |
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| 265 | ! |
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| 266 | ! ... (jpjedp1, jpjefm1),jpieob |
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| 267 | DO ji = fs_nie0, fs_nie1 ! Vector opt. |
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| 268 | DO jk = 1, jpkm1 |
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| 269 | DO jj = 2, jpjm1 |
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| 270 | ! ... 2* gradi(u) (T-point i=nibm, time mean) |
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| 271 | z2dx = ( uebnd(jj,jk,nibm ,nit) + uebnd(jj,jk,nibm ,nitm2) & |
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| 272 | - 2.*uebnd(jj,jk,nibm2,nitm) ) / e1t(ji-1,jj) |
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| 273 | ! ... 2* gradj(u) (u-point i=nibm, time nitm) |
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| 274 | z2dy = ( uebnd(jj+1,jk,nibm,nitm) - uebnd(jj-1,jk,nibm,nitm) ) / e2u(ji-1,jj) |
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| 275 | ! ... square of the norm of grad(u) |
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| 276 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
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| 277 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
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| 278 | zdt = uebnd(jj,jk,nibm,nitm2) - uebnd(jj,jk,nibm,nit) |
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| 279 | ! ... i-phase speed ratio (bounded by 1) |
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| 280 | IF( z4nor2 == 0. ) THEN |
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| 281 | z4nor2=.00001 |
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| 282 | END IF |
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| 283 | z05cx = zdt * z2dx / z4nor2 |
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| 284 | u_cxebnd(jj,jk) = z05cx*uemsk(jj,jk) |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | END DO |
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| 288 | |
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| 289 | ! 2.2 Calculate the tangential velocity based on phase velocity v_cxebnd |
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| 290 | ! ----------------------------------------------------------------------- |
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| 291 | ! |
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| 292 | ! nibm2 nibm nib |
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| 293 | ! | nibm | nib///|/// |
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| 294 | ! | | | |////|/// |
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| 295 | ! jj-line --v----f----v----f----v--- |
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| 296 | ! | | | |////|/// |
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| 297 | ! | | | |////|/// |
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| 298 | ! | jpieob-1| jpieob /|/// |
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| 299 | ! | | | |
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| 300 | ! jpieob-1 jpieob jpieob+1 |
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| 301 | ! |
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| 302 | ! ... (jpjedp1, jpjefm1), jpieob+1 |
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| 303 | DO ji = fs_nie0+1, fs_nie1+1 ! Vector opt. |
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| 304 | DO jk = 1, jpkm1 |
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| 305 | DO jj = 2, jpjm1 |
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| 306 | ! ... 2* i-gradient of v (f-point i=nibm, time mean) |
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| 307 | z2dx = ( vebnd(jj,jk,nibm ,nit) + vebnd(jj,jk,nibm ,nitm2) & |
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| 308 | - 2.*vebnd(jj,jk,nibm2,nitm) ) / e1f(ji-2,jj) |
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| 309 | ! ... 2* j-gradient of v (v-point i=nibm, time nitm) |
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| 310 | z2dy = ( vebnd(jj+1,jk,nibm,nitm) - vebnd(jj-1,jk,nibm,nitm) ) / e2v(ji-1,jj) |
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| 311 | ! ... square of the norm of grad(v) |
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| 312 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
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| 313 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
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| 314 | zdt = vebnd(jj,jk,nibm,nitm2) - vebnd(jj,jk,nibm,nit) |
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| 315 | ! ... i-phase speed ratio (bounded by 1) and save the unbounded phase |
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| 316 | ! velocity ratio no divided by e1f for the tracer radiation |
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| 317 | IF( z4nor2 == 0. ) THEN |
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| 318 | z4nor2=.000001 |
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| 319 | END IF |
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| 320 | z05cx = zdt * z2dx / z4nor2 |
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| 321 | v_cxebnd(jj,jk) = z05cx*vemsk(jj,jk) |
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| 322 | END DO |
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| 323 | END DO |
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| 324 | END DO |
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[2715] | 325 | IF( lk_mpp ) CALL mppobc(v_cxebnd,jpjed,jpjef,jpieob+1,jpk,2,jpj, numout ) |
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[32] | 326 | |
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[3] | 327 | ! ... extremeties nie0, nie1 |
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| 328 | ij = jpjed +1 - njmpp |
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| 329 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 330 | DO jk = 1,jpkm1 |
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| 331 | v_cxebnd(ij,jk) = v_cxebnd(ij+1 ,jk) |
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| 332 | END DO |
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| 333 | END IF |
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| 334 | ij = jpjef +1 - njmpp |
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| 335 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
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| 336 | DO jk = 1,jpkm1 |
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| 337 | v_cxebnd(ij,jk) = v_cxebnd(ij-1 ,jk) |
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| 338 | END DO |
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| 339 | END IF |
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| 340 | |
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| 341 | END IF |
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| 342 | |
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| 343 | END SUBROUTINE obc_rad_east |
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| 344 | |
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[32] | 345 | |
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[3] | 346 | SUBROUTINE obc_rad_west ( kt ) |
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| 347 | !!------------------------------------------------------------------------------ |
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[32] | 348 | !! *** SUBROUTINE obc_rad_west *** |
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| 349 | !! |
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[3] | 350 | !! ** Purpose : |
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| 351 | !! Perform swap of arrays to calculate radiative phase speeds at the open |
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| 352 | !! west boundary and calculate those phase speeds if this OBC is not fixed. |
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| 353 | !! In case of fixed OBC, this subrountine is not called. |
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| 354 | !! |
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| 355 | !! History : |
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| 356 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
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| 357 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
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| 358 | !! ! 97-12 (M. Imbard) Mpp adaptation |
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| 359 | !! ! 00-06 (J.-M. Molines) |
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| 360 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
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| 361 | !!------------------------------------------------------------------------------ |
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| 362 | !! * Arguments |
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| 363 | INTEGER, INTENT( in ) :: kt |
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| 364 | |
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| 365 | !! * Local declarations |
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[32] | 366 | INTEGER :: ij |
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[3] | 367 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
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| 368 | REAL(wp) :: zucb, zucbm, zucbm2 |
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| 369 | !!------------------------------------------------------------------------------ |
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| 370 | |
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| 371 | ! 1. Swap arrays before calculating radiative velocities |
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| 372 | ! ------------------------------------------------------ |
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| 373 | |
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| 374 | ! 1.1 zonal velocity |
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| 375 | ! ------------------- |
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| 376 | |
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[2152] | 377 | IF( kt > nit000 .OR. ln_rstart ) THEN |
---|
[3] | 378 | |
---|
| 379 | ! ... advance in time (time filter, array swap) |
---|
| 380 | DO jk = 1, jpkm1 |
---|
| 381 | DO jj = 1, jpj |
---|
| 382 | uwbnd(jj,jk,nib ,nitm2) = uwbnd(jj,jk,nib ,nitm)*uwmsk(jj,jk) |
---|
| 383 | uwbnd(jj,jk,nibm ,nitm2) = uwbnd(jj,jk,nibm ,nitm)*uwmsk(jj,jk) |
---|
| 384 | uwbnd(jj,jk,nibm2,nitm2) = uwbnd(jj,jk,nibm2,nitm)*uwmsk(jj,jk) |
---|
| 385 | END DO |
---|
| 386 | END DO |
---|
| 387 | |
---|
| 388 | ! ... fields nitm <== nit plus time filter at the boundary |
---|
| 389 | DO ji = fs_niw0, fs_niw1 ! Vector opt. |
---|
| 390 | DO jk = 1, jpkm1 |
---|
| 391 | DO jj = 1, jpj |
---|
| 392 | uwbnd(jj,jk,nib ,nitm) = uwbnd(jj,jk,nib ,nit)*uwmsk(jj,jk) |
---|
| 393 | uwbnd(jj,jk,nibm ,nitm) = uwbnd(jj,jk,nibm ,nit)*uwmsk(jj,jk) |
---|
| 394 | uwbnd(jj,jk,nibm2,nitm) = uwbnd(jj,jk,nibm2,nit)*uwmsk(jj,jk) |
---|
| 395 | ! ... total or baroclinic velocity at b, bm and bm2 |
---|
| 396 | zucb = un (ji,jj,jk) |
---|
| 397 | zucbm = un (ji+1,jj,jk) |
---|
| 398 | zucbm2 = un (ji+2,jj,jk) |
---|
| 399 | |
---|
| 400 | ! ... fields nit <== now (kt+1) |
---|
| 401 | uwbnd(jj,jk,nib ,nit) = zucb *uwmsk(jj,jk) |
---|
| 402 | uwbnd(jj,jk,nibm ,nit) = zucbm *uwmsk(jj,jk) |
---|
| 403 | uwbnd(jj,jk,nibm2,nit) = zucbm2*uwmsk(jj,jk) |
---|
| 404 | END DO |
---|
| 405 | END DO |
---|
| 406 | END DO |
---|
[2715] | 407 | IF( lk_mpp ) CALL mppobc(uwbnd,jpjwd,jpjwf,jpiwob,jpk*3*3,2,jpj, numout ) |
---|
[32] | 408 | |
---|
[3] | 409 | ! ... extremeties niw0, niw1 |
---|
| 410 | ij = jpjwd +1 - njmpp |
---|
| 411 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 412 | DO jk = 1,jpkm1 |
---|
| 413 | uwbnd(ij,jk,nibm,nitm) = uwbnd(ij+1 ,jk,nibm,nitm) |
---|
| 414 | END DO |
---|
| 415 | END IF |
---|
| 416 | ij = jpjwf +1 - njmpp |
---|
| 417 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 418 | DO jk = 1,jpkm1 |
---|
| 419 | uwbnd(ij,jk,nibm,nitm) = uwbnd(ij-1 ,jk,nibm,nitm) |
---|
| 420 | END DO |
---|
| 421 | END IF |
---|
| 422 | |
---|
| 423 | ! 1.2 tangential velocity |
---|
| 424 | ! ----------------------- |
---|
| 425 | |
---|
| 426 | ! ... advance in time (time filter, array swap) |
---|
| 427 | DO jk = 1, jpkm1 |
---|
| 428 | DO jj = 1, jpj |
---|
| 429 | ! ... fields nitm2 <== nitm |
---|
| 430 | vwbnd(jj,jk,nib ,nitm2) = vwbnd(jj,jk,nib ,nitm)*vwmsk(jj,jk) |
---|
| 431 | vwbnd(jj,jk,nibm ,nitm2) = vwbnd(jj,jk,nibm ,nitm)*vwmsk(jj,jk) |
---|
| 432 | vwbnd(jj,jk,nibm2,nitm2) = vwbnd(jj,jk,nibm2,nitm)*vwmsk(jj,jk) |
---|
| 433 | END DO |
---|
| 434 | END DO |
---|
| 435 | |
---|
| 436 | DO ji = fs_niw0, fs_niw1 ! Vector opt. |
---|
| 437 | DO jk = 1, jpkm1 |
---|
| 438 | DO jj = 1, jpj |
---|
| 439 | vwbnd(jj,jk,nib ,nitm) = vwbnd(jj,jk,nib, nit)*vwmsk(jj,jk) |
---|
| 440 | vwbnd(jj,jk,nibm ,nitm) = vwbnd(jj,jk,nibm ,nit)*vwmsk(jj,jk) |
---|
| 441 | vwbnd(jj,jk,nibm2,nitm) = vwbnd(jj,jk,nibm2,nit)*vwmsk(jj,jk) |
---|
| 442 | ! ... fields nit <== now (kt+1) |
---|
| 443 | vwbnd(jj,jk,nib ,nit) = vn(ji ,jj,jk)*vwmsk(jj,jk) |
---|
| 444 | vwbnd(jj,jk,nibm ,nit) = vn(ji+1,jj,jk)*vwmsk(jj,jk) |
---|
| 445 | vwbnd(jj,jk,nibm2,nit) = vn(ji+2,jj,jk)*vwmsk(jj,jk) |
---|
| 446 | END DO |
---|
| 447 | END DO |
---|
| 448 | END DO |
---|
[2715] | 449 | IF( lk_mpp ) CALL mppobc(vwbnd,jpjwd,jpjwf,jpiwob,jpk*3*3,2,jpj, numout ) |
---|
[32] | 450 | |
---|
[3] | 451 | ! ... extremeties niw0, niw1 |
---|
| 452 | ij = jpjwd +1 - njmpp |
---|
| 453 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 454 | DO jk = 1,jpkm1 |
---|
| 455 | vwbnd(ij,jk,nibm,nitm) = vwbnd(ij+1 ,jk,nibm,nitm) |
---|
| 456 | END DO |
---|
| 457 | END IF |
---|
| 458 | ij = jpjwf +1 - njmpp |
---|
| 459 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 460 | DO jk = 1,jpkm1 |
---|
| 461 | vwbnd(ij,jk,nibm,nitm) = vwbnd(ij-1 ,jk,nibm,nitm) |
---|
| 462 | END DO |
---|
| 463 | END IF |
---|
| 464 | |
---|
| 465 | ! 1.3 Temperature and salinity |
---|
| 466 | ! ---------------------------- |
---|
| 467 | |
---|
| 468 | ! ... advance in time (time filter, array swap) |
---|
| 469 | DO jk = 1, jpkm1 |
---|
| 470 | DO jj = 1, jpj |
---|
| 471 | ! ... fields nitm <== nit plus time filter at the boundary |
---|
| 472 | twbnd(jj,jk,nib,nitm) = twbnd(jj,jk,nib,nit)*twmsk(jj,jk) |
---|
| 473 | swbnd(jj,jk,nib,nitm) = swbnd(jj,jk,nib,nit)*twmsk(jj,jk) |
---|
| 474 | END DO |
---|
| 475 | END DO |
---|
| 476 | |
---|
| 477 | DO ji = fs_niw0, fs_niw1 ! Vector opt. |
---|
| 478 | DO jk = 1, jpkm1 |
---|
| 479 | DO jj = 1, jpj |
---|
| 480 | twbnd(jj,jk,nibm ,nitm) = twbnd(jj,jk,nibm ,nit)*twmsk(jj,jk) |
---|
| 481 | swbnd(jj,jk,nibm ,nitm) = swbnd(jj,jk,nibm ,nit)*twmsk(jj,jk) |
---|
| 482 | ! ... fields nit <== now (kt+1) |
---|
[3294] | 483 | twbnd(jj,jk,nib ,nit) = tsn(ji ,jj,jk,jp_tem)*twmsk(jj,jk) |
---|
| 484 | twbnd(jj,jk,nibm ,nit) = tsn(ji+1 ,jj,jk,jp_tem)*twmsk(jj,jk) |
---|
| 485 | swbnd(jj,jk,nib ,nit) = tsn(ji ,jj,jk,jp_sal)*twmsk(jj,jk) |
---|
| 486 | swbnd(jj,jk,nibm ,nit) = tsn(ji+1 ,jj,jk,jp_sal)*twmsk(jj,jk) |
---|
[3] | 487 | END DO |
---|
| 488 | END DO |
---|
| 489 | END DO |
---|
[2715] | 490 | IF( lk_mpp ) CALL mppobc(twbnd,jpjwd,jpjwf,jpiwob,jpk*2*2,2,jpj, numout ) |
---|
| 491 | IF( lk_mpp ) CALL mppobc(swbnd,jpjwd,jpjwf,jpiwob,jpk*2*2,2,jpj, numout ) |
---|
[32] | 492 | |
---|
[3] | 493 | ! ... extremeties niw0, niw1 |
---|
| 494 | ij = jpjwd +1 - njmpp |
---|
| 495 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 496 | DO jk = 1,jpkm1 |
---|
| 497 | twbnd(ij,jk,nibm,nitm) = twbnd(ij+1 ,jk,nibm,nitm) |
---|
| 498 | swbnd(ij,jk,nibm,nitm) = swbnd(ij+1 ,jk,nibm,nitm) |
---|
| 499 | END DO |
---|
| 500 | END IF |
---|
| 501 | ij = jpjwf +1 - njmpp |
---|
| 502 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 503 | DO jk = 1,jpkm1 |
---|
| 504 | twbnd(ij,jk,nibm,nitm) = twbnd(ij-1 ,jk,nibm,nitm) |
---|
| 505 | swbnd(ij,jk,nibm,nitm) = swbnd(ij-1 ,jk,nibm,nitm) |
---|
| 506 | END DO |
---|
| 507 | END IF |
---|
| 508 | |
---|
| 509 | END IF ! End of array swap |
---|
| 510 | |
---|
| 511 | ! 2 - Calculation of radiation velocities |
---|
| 512 | ! --------------------------------------- |
---|
| 513 | |
---|
| 514 | IF( kt >= nit000 +3 .OR. ln_rstart ) THEN |
---|
| 515 | |
---|
| 516 | ! 2.1 Calculate the normal velocity U based on phase velocity u_cxwbnd |
---|
| 517 | ! ---------------------------------------------------------------------- |
---|
| 518 | ! |
---|
| 519 | ! nib nibm nibm2 |
---|
| 520 | ! ///| nib | nibm | |
---|
| 521 | ! ///| | | | | |
---|
| 522 | ! ---f----v----f----v----f-- jj-line |
---|
| 523 | ! ///| | | | | |
---|
| 524 | ! ///| | | |
---|
| 525 | ! ///u T u T u jj-line |
---|
| 526 | ! ///| | | |
---|
| 527 | ! ///| | | | | |
---|
| 528 | ! jpiwob jpiwob+1 jpiwob+2 |
---|
| 529 | ! | | |
---|
| 530 | ! jpiwob+1 jpiwob+2 |
---|
| 531 | ! |
---|
| 532 | ! ... If free surface formulation: |
---|
| 533 | ! ... radiative conditions on the total part + relaxation toward climatology |
---|
| 534 | ! ... (jpjwdp1, jpjwfm1), jpiwob |
---|
| 535 | DO ji = fs_niw0, fs_niw1 ! Vector opt. |
---|
| 536 | DO jk = 1, jpkm1 |
---|
| 537 | DO jj = 2, jpjm1 |
---|
| 538 | ! ... 2* gradi(u) (T-point i=nibm, time mean) |
---|
| 539 | z2dx = ( - uwbnd(jj,jk,nibm ,nit) - uwbnd(jj,jk,nibm ,nitm2) & |
---|
| 540 | + 2.*uwbnd(jj,jk,nibm2,nitm) ) / e1t(ji+2,jj) |
---|
| 541 | ! ... 2* gradj(u) (u-point i=nibm, time nitm) |
---|
| 542 | z2dy = ( uwbnd(jj+1,jk,nibm,nitm) - uwbnd(jj-1,jk,nibm,nitm) ) / e2u(ji+1,jj) |
---|
| 543 | ! ... square of the norm of grad(u) |
---|
| 544 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
---|
| 545 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
---|
| 546 | zdt = uwbnd(jj,jk,nibm,nitm2) - uwbnd(jj,jk,nibm,nit) |
---|
| 547 | ! ... i-phase speed ratio (bounded by -1) |
---|
| 548 | IF( z4nor2 == 0. ) THEN |
---|
| 549 | z4nor2=0.00001 |
---|
| 550 | END IF |
---|
| 551 | z05cx = zdt * z2dx / z4nor2 |
---|
| 552 | u_cxwbnd(jj,jk)=z05cx*uwmsk(jj,jk) |
---|
| 553 | END DO |
---|
| 554 | END DO |
---|
| 555 | END DO |
---|
| 556 | |
---|
| 557 | ! 2.2 Calculate the tangential velocity based on phase velocity v_cxwbnd |
---|
| 558 | ! ----------------------------------------------------------------------- |
---|
| 559 | ! |
---|
| 560 | ! nib nibm nibm2 |
---|
| 561 | ! ///|///nib | nibm | nibm2 |
---|
| 562 | ! ///|////| | | | | | |
---|
| 563 | ! ---v----f----v----f----v----f----v-- jj-line |
---|
| 564 | ! ///|////| | | | | | |
---|
| 565 | ! ///|////| | | | | | |
---|
| 566 | ! jpiwob jpiwob+1 jpiwob+2 |
---|
| 567 | ! | | | |
---|
| 568 | ! jpiwob jpiwob+1 jpiwob+2 |
---|
| 569 | ! |
---|
| 570 | ! ... radiative condition plus Raymond-Kuo |
---|
| 571 | ! ... (jpjwdp1, jpjwfm1),jpiwob |
---|
| 572 | DO ji = fs_niw0, fs_niw1 ! Vector opt. |
---|
| 573 | DO jk = 1, jpkm1 |
---|
| 574 | DO jj = 2, jpjm1 |
---|
| 575 | ! ... 2* i-gradient of v (f-point i=nibm, time mean) |
---|
| 576 | z2dx = ( - vwbnd(jj,jk,nibm ,nit) - vwbnd(jj,jk,nibm ,nitm2) & |
---|
| 577 | + 2.*vwbnd(jj,jk,nibm2,nitm) ) / e1f(ji+1,jj) |
---|
| 578 | ! ... 2* j-gradient of v (v-point i=nibm, time nitm) |
---|
| 579 | z2dy = ( vwbnd(jj+1,jk,nibm,nitm) - vwbnd(jj-1,jk,nibm,nitm) ) / e2v(ji+1,jj) |
---|
| 580 | ! ... square of the norm of grad(v) |
---|
| 581 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
---|
| 582 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
---|
| 583 | zdt = vwbnd(jj,jk,nibm,nitm2) - vwbnd(jj,jk,nibm,nit) |
---|
| 584 | ! ... i-phase speed ratio (bounded by -1) and save the unbounded phase |
---|
| 585 | ! velocity ratio no divided by e1f for the tracer radiation |
---|
| 586 | IF( z4nor2 == 0) THEN |
---|
| 587 | z4nor2=0.000001 |
---|
| 588 | endif |
---|
| 589 | z05cx = zdt * z2dx / z4nor2 |
---|
| 590 | v_cxwbnd(jj,jk) = z05cx*vwmsk(jj,jk) |
---|
| 591 | END DO |
---|
| 592 | END DO |
---|
| 593 | END DO |
---|
[2715] | 594 | IF( lk_mpp ) CALL mppobc(v_cxwbnd,jpjwd,jpjwf,jpiwob,jpk,2,jpj, numout ) |
---|
[32] | 595 | |
---|
[3] | 596 | ! ... extremeties niw0, niw1 |
---|
| 597 | ij = jpjwd +1 - njmpp |
---|
| 598 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 599 | DO jk = 1,jpkm1 |
---|
| 600 | v_cxwbnd(ij,jk) = v_cxwbnd(ij+1 ,jk) |
---|
| 601 | END DO |
---|
| 602 | END IF |
---|
| 603 | ij = jpjwf +1 - njmpp |
---|
| 604 | IF( ij >= 2 .AND. ij < jpjm1 ) THEN |
---|
| 605 | DO jk = 1,jpkm1 |
---|
| 606 | v_cxwbnd(ij,jk) = v_cxwbnd(ij-1 ,jk) |
---|
| 607 | END DO |
---|
| 608 | END IF |
---|
| 609 | |
---|
| 610 | END IF |
---|
| 611 | |
---|
| 612 | END SUBROUTINE obc_rad_west |
---|
| 613 | |
---|
[32] | 614 | |
---|
[3] | 615 | SUBROUTINE obc_rad_north ( kt ) |
---|
| 616 | !!------------------------------------------------------------------------------ |
---|
[32] | 617 | !! *** SUBROUTINE obc_rad_north *** |
---|
| 618 | !! |
---|
[3] | 619 | !! ** Purpose : |
---|
| 620 | !! Perform swap of arrays to calculate radiative phase speeds at the open |
---|
| 621 | !! north boundary and calculate those phase speeds if this OBC is not fixed. |
---|
| 622 | !! In case of fixed OBC, this subrountine is not called. |
---|
| 623 | !! |
---|
| 624 | !! History : |
---|
| 625 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
---|
| 626 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
---|
| 627 | !! ! 97-12 (M. Imbard) Mpp adaptation |
---|
| 628 | !! ! 00-06 (J.-M. Molines) |
---|
| 629 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
---|
| 630 | !!------------------------------------------------------------------------------ |
---|
| 631 | !! * Arguments |
---|
| 632 | INTEGER, INTENT( in ) :: kt |
---|
| 633 | |
---|
| 634 | !! * Local declarations |
---|
[32] | 635 | INTEGER :: ii |
---|
[3] | 636 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
---|
| 637 | REAL(wp) :: zvcb, zvcbm, zvcbm2 |
---|
| 638 | !!------------------------------------------------------------------------------ |
---|
| 639 | |
---|
| 640 | ! 1. Swap arrays before calculating radiative velocities |
---|
| 641 | ! ------------------------------------------------------ |
---|
| 642 | |
---|
| 643 | ! 1.1 zonal velocity |
---|
| 644 | ! ------------------- |
---|
| 645 | |
---|
[2152] | 646 | IF( kt > nit000 .OR. ln_rstart ) THEN |
---|
[3] | 647 | |
---|
| 648 | ! ... advance in time (time filter, array swap) |
---|
| 649 | DO jk = 1, jpkm1 |
---|
| 650 | DO ji = 1, jpi |
---|
| 651 | ! ... fields nitm2 <== nitm |
---|
| 652 | unbnd(ji,jk,nib ,nitm2) = unbnd(ji,jk,nib ,nitm)*unmsk(ji,jk) |
---|
| 653 | unbnd(ji,jk,nibm ,nitm2) = unbnd(ji,jk,nibm ,nitm)*unmsk(ji,jk) |
---|
| 654 | unbnd(ji,jk,nibm2,nitm2) = unbnd(ji,jk,nibm2,nitm)*unmsk(ji,jk) |
---|
| 655 | END DO |
---|
| 656 | END DO |
---|
| 657 | |
---|
| 658 | DO jj = fs_njn0+1, fs_njn1+1 ! Vector opt. |
---|
| 659 | DO jk = 1, jpkm1 |
---|
| 660 | DO ji = 1, jpi |
---|
| 661 | unbnd(ji,jk,nib ,nitm) = unbnd(ji,jk,nib, nit)*unmsk(ji,jk) |
---|
| 662 | unbnd(ji,jk,nibm ,nitm) = unbnd(ji,jk,nibm ,nit)*unmsk(ji,jk) |
---|
| 663 | unbnd(ji,jk,nibm2,nitm) = unbnd(ji,jk,nibm2,nit)*unmsk(ji,jk) |
---|
| 664 | ! ... fields nit <== now (kt+1) |
---|
| 665 | unbnd(ji,jk,nib ,nit) = un(ji,jj, jk)*unmsk(ji,jk) |
---|
| 666 | unbnd(ji,jk,nibm ,nit) = un(ji,jj-1,jk)*unmsk(ji,jk) |
---|
| 667 | unbnd(ji,jk,nibm2,nit) = un(ji,jj-2,jk)*unmsk(ji,jk) |
---|
| 668 | END DO |
---|
| 669 | END DO |
---|
| 670 | END DO |
---|
[2715] | 671 | IF( lk_mpp ) CALL mppobc(unbnd,jpind,jpinf,jpjnob+1,jpk*3*3,1,jpi, numout ) |
---|
[32] | 672 | |
---|
[3] | 673 | ! ... extremeties njn0,njn1 |
---|
| 674 | ii = jpind + 1 - nimpp |
---|
| 675 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 676 | DO jk = 1, jpkm1 |
---|
| 677 | unbnd(ii,jk,nibm,nitm) = unbnd(ii+1,jk,nibm,nitm) |
---|
| 678 | END DO |
---|
| 679 | END IF |
---|
| 680 | ii = jpinf + 1 - nimpp |
---|
| 681 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 682 | DO jk = 1, jpkm1 |
---|
| 683 | unbnd(ii,jk,nibm,nitm) = unbnd(ii-1,jk,nibm,nitm) |
---|
| 684 | END DO |
---|
| 685 | END IF |
---|
| 686 | |
---|
| 687 | ! 1.2. normal velocity |
---|
| 688 | ! -------------------- |
---|
| 689 | |
---|
| 690 | ! ... advance in time (time filter, array swap) |
---|
| 691 | DO jk = 1, jpkm1 |
---|
| 692 | DO ji = 1, jpi |
---|
| 693 | ! ... fields nitm2 <== nitm |
---|
| 694 | vnbnd(ji,jk,nib ,nitm2) = vnbnd(ji,jk,nib ,nitm)*vnmsk(ji,jk) |
---|
| 695 | vnbnd(ji,jk,nibm ,nitm2) = vnbnd(ji,jk,nibm ,nitm)*vnmsk(ji,jk) |
---|
| 696 | vnbnd(ji,jk,nibm2,nitm2) = vnbnd(ji,jk,nibm2,nitm)*vnmsk(ji,jk) |
---|
| 697 | END DO |
---|
| 698 | END DO |
---|
| 699 | |
---|
| 700 | DO jj = fs_njn0, fs_njn1 ! Vector opt. |
---|
| 701 | DO jk = 1, jpkm1 |
---|
| 702 | DO ji = 1, jpi |
---|
| 703 | vnbnd(ji,jk,nib ,nitm) = vnbnd(ji,jk,nib, nit)*vnmsk(ji,jk) |
---|
| 704 | vnbnd(ji,jk,nibm ,nitm) = vnbnd(ji,jk,nibm ,nit)*vnmsk(ji,jk) |
---|
| 705 | vnbnd(ji,jk,nibm2,nitm) = vnbnd(ji,jk,nibm2,nit)*vnmsk(ji,jk) |
---|
| 706 | ! ... fields nit <== now (kt+1) |
---|
| 707 | ! ... total or baroclinic velocity at b, bm and bm2 |
---|
| 708 | zvcb = vn (ji,jj,jk) |
---|
| 709 | zvcbm = vn (ji,jj-1,jk) |
---|
| 710 | zvcbm2 = vn (ji,jj-2,jk) |
---|
| 711 | ! ... fields nit <== now (kt+1) |
---|
| 712 | vnbnd(ji,jk,nib ,nit) = zvcb *vnmsk(ji,jk) |
---|
| 713 | vnbnd(ji,jk,nibm ,nit) = zvcbm *vnmsk(ji,jk) |
---|
| 714 | vnbnd(ji,jk,nibm2,nit) = zvcbm2*vnmsk(ji,jk) |
---|
| 715 | END DO |
---|
| 716 | END DO |
---|
| 717 | END DO |
---|
[2715] | 718 | IF( lk_mpp ) CALL mppobc(vnbnd,jpind,jpinf,jpjnob,jpk*3*3,1,jpi, numout ) |
---|
[32] | 719 | |
---|
[3] | 720 | ! ... extremeties njn0,njn1 |
---|
| 721 | ii = jpind + 1 - nimpp |
---|
| 722 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 723 | DO jk = 1, jpkm1 |
---|
| 724 | vnbnd(ii,jk,nibm,nitm) = vnbnd(ii+1,jk,nibm,nitm) |
---|
| 725 | END DO |
---|
| 726 | END IF |
---|
| 727 | ii = jpinf + 1 - nimpp |
---|
| 728 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 729 | DO jk = 1, jpkm1 |
---|
| 730 | vnbnd(ii,jk,nibm,nitm) = vnbnd(ii-1,jk,nibm,nitm) |
---|
| 731 | END DO |
---|
| 732 | END IF |
---|
| 733 | |
---|
| 734 | ! 1.3 Temperature and salinity |
---|
| 735 | ! ---------------------------- |
---|
| 736 | |
---|
| 737 | ! ... advance in time (time filter, array swap) |
---|
| 738 | DO jk = 1, jpkm1 |
---|
| 739 | DO ji = 1, jpi |
---|
| 740 | ! ... fields nitm <== nit plus time filter at the boundary |
---|
| 741 | tnbnd(ji,jk,nib ,nitm) = tnbnd(ji,jk,nib,nit)*tnmsk(ji,jk) |
---|
| 742 | snbnd(ji,jk,nib ,nitm) = snbnd(ji,jk,nib,nit)*tnmsk(ji,jk) |
---|
| 743 | END DO |
---|
| 744 | END DO |
---|
| 745 | |
---|
| 746 | DO jj = fs_njn0+1, fs_njn1+1 ! Vector opt. |
---|
| 747 | DO jk = 1, jpkm1 |
---|
| 748 | DO ji = 1, jpi |
---|
| 749 | tnbnd(ji,jk,nibm ,nitm) = tnbnd(ji,jk,nibm ,nit)*tnmsk(ji,jk) |
---|
| 750 | snbnd(ji,jk,nibm ,nitm) = snbnd(ji,jk,nibm ,nit)*tnmsk(ji,jk) |
---|
| 751 | ! ... fields nit <== now (kt+1) |
---|
[3294] | 752 | tnbnd(ji,jk,nib ,nit) = tsn(ji,jj, jk,jp_tem)*tnmsk(ji,jk) |
---|
| 753 | tnbnd(ji,jk,nibm ,nit) = tsn(ji,jj-1,jk,jp_tem)*tnmsk(ji,jk) |
---|
| 754 | snbnd(ji,jk,nib ,nit) = tsn(ji,jj, jk,jp_sal)*tnmsk(ji,jk) |
---|
| 755 | snbnd(ji,jk,nibm ,nit) = tsn(ji,jj-1,jk,jp_sal)*tnmsk(ji,jk) |
---|
[3] | 756 | END DO |
---|
| 757 | END DO |
---|
| 758 | END DO |
---|
[2715] | 759 | IF( lk_mpp ) CALL mppobc(tnbnd,jpind,jpinf,jpjnob+1,jpk*2*2,1,jpi, numout ) |
---|
| 760 | IF( lk_mpp ) CALL mppobc(snbnd,jpind,jpinf,jpjnob+1,jpk*2*2,1,jpi, numout ) |
---|
[32] | 761 | |
---|
[3] | 762 | ! ... extremeties njn0,njn1 |
---|
| 763 | ii = jpind + 1 - nimpp |
---|
| 764 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 765 | DO jk = 1, jpkm1 |
---|
| 766 | tnbnd(ii,jk,nibm,nitm) = tnbnd(ii+1,jk,nibm,nitm) |
---|
| 767 | snbnd(ii,jk,nibm,nitm) = snbnd(ii+1,jk,nibm,nitm) |
---|
| 768 | END DO |
---|
| 769 | END IF |
---|
| 770 | ii = jpinf + 1 - nimpp |
---|
| 771 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 772 | DO jk = 1, jpkm1 |
---|
| 773 | tnbnd(ii,jk,nibm,nitm) = tnbnd(ii-1,jk,nibm,nitm) |
---|
| 774 | snbnd(ii,jk,nibm,nitm) = snbnd(ii-1,jk,nibm,nitm) |
---|
| 775 | END DO |
---|
| 776 | END IF |
---|
| 777 | |
---|
| 778 | END IF ! End of array swap |
---|
| 779 | |
---|
| 780 | ! 2 - Calculation of radiation velocities |
---|
| 781 | ! --------------------------------------- |
---|
| 782 | |
---|
| 783 | IF( kt >= nit000 +3 .OR. ln_rstart ) THEN |
---|
| 784 | |
---|
| 785 | ! 2.1 Calculate the normal velocity based on phase velocity u_cynbnd |
---|
| 786 | ! ------------------------------------------------------------------- |
---|
| 787 | ! |
---|
| 788 | ! ji-row |
---|
| 789 | ! | |
---|
| 790 | ! nib -///u////// jpjnob + 1 |
---|
| 791 | ! /////|////// |
---|
| 792 | ! nib -----f----- jpjnob |
---|
| 793 | ! | |
---|
| 794 | ! nibm-- u ---- jpjnob |
---|
| 795 | ! | |
---|
| 796 | ! nibm -----f----- jpjnob-1 |
---|
| 797 | ! | |
---|
| 798 | ! nibm2-- u ---- jpjnob-1 |
---|
| 799 | ! | |
---|
| 800 | ! nibm2 -----f----- jpjnob-2 |
---|
| 801 | ! | |
---|
| 802 | ! ... radiative condition |
---|
| 803 | ! ... jpjnob+1,(jpindp1, jpinfm1) |
---|
| 804 | DO jj = fs_njn0+1, fs_njn1+1 ! Vector opt. |
---|
| 805 | DO jk = 1, jpkm1 |
---|
| 806 | DO ji = 2, jpim1 |
---|
| 807 | ! ... 2* j-gradient of u (f-point i=nibm, time mean) |
---|
| 808 | z2dx = ( unbnd(ji,jk,nibm ,nit) + unbnd(ji,jk,nibm ,nitm2) & |
---|
| 809 | - 2.*unbnd(ji,jk,nibm2,nitm)) / e2f(ji,jj-2) |
---|
| 810 | ! ... 2* i-gradient of u (u-point i=nibm, time nitm) |
---|
| 811 | z2dy = ( unbnd(ji+1,jk,nibm,nitm) - unbnd(ji-1,jk,nibm,nitm) ) / e1u(ji,jj-1) |
---|
| 812 | ! ... square of the norm of grad(v) |
---|
| 813 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
---|
| 814 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
---|
| 815 | zdt = unbnd(ji,jk,nibm,nitm2) - unbnd(ji,jk,nibm,nit) |
---|
| 816 | ! ... i-phase speed ratio (bounded by 1) and save the unbounded phase |
---|
| 817 | ! velocity ratio no divided by e1f for the tracer radiation |
---|
| 818 | IF( z4nor2 == 0.) THEN |
---|
| 819 | z4nor2=.000001 |
---|
| 820 | END IF |
---|
| 821 | z05cx = zdt * z2dx / z4nor2 |
---|
| 822 | u_cynbnd(ji,jk) = z05cx *unmsk(ji,jk) |
---|
| 823 | END DO |
---|
| 824 | END DO |
---|
| 825 | END DO |
---|
[2715] | 826 | IF( lk_mpp ) CALL mppobc(u_cynbnd,jpind,jpinf,jpjnob+1,jpk,1,jpi, numout ) |
---|
[32] | 827 | |
---|
[3] | 828 | ! ... extremeties njn0,njn1 |
---|
| 829 | ii = jpind + 1 - nimpp |
---|
| 830 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 831 | DO jk = 1, jpkm1 |
---|
| 832 | u_cynbnd(ii,jk) = u_cynbnd(ii+1,jk) |
---|
| 833 | END DO |
---|
| 834 | END IF |
---|
| 835 | ii = jpinf + 1 - nimpp |
---|
| 836 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 837 | DO jk = 1, jpkm1 |
---|
| 838 | u_cynbnd(ii,jk) = u_cynbnd(ii-1,jk) |
---|
| 839 | END DO |
---|
| 840 | END IF |
---|
| 841 | |
---|
| 842 | ! 2.2 Calculate the normal velocity based on phase velocity v_cynbnd |
---|
| 843 | ! ------------------------------------------------------------------ |
---|
| 844 | ! |
---|
| 845 | ! ji-row ji-row |
---|
| 846 | ! | |
---|
| 847 | ! /////|///////////////// |
---|
| 848 | ! nib -----f----v----f---- jpjnob |
---|
| 849 | ! | | |
---|
| 850 | ! nib - u -- T -- u ---- jpjnob |
---|
| 851 | ! | | |
---|
| 852 | ! nibm -----f----v----f---- jpjnob-1 |
---|
| 853 | ! | | |
---|
| 854 | ! nibm -- u -- T -- u --- jpjnob-1 |
---|
| 855 | ! | | |
---|
| 856 | ! nibm2 -----f----v----f---- jpjnob-2 |
---|
| 857 | ! | | |
---|
[1528] | 858 | ! ... Free surface formulation: |
---|
[3] | 859 | ! ... radiative conditions on the total part + relaxation toward climatology |
---|
| 860 | ! ... jpjnob,(jpindp1, jpinfm1) |
---|
| 861 | DO jj = fs_njn0, fs_njn1 ! Vector opt. |
---|
| 862 | DO jk = 1, jpkm1 |
---|
| 863 | DO ji = 2, jpim1 |
---|
| 864 | ! ... 2* gradj(v) (T-point i=nibm, time mean) |
---|
| 865 | ii = ji -1 + nimpp |
---|
| 866 | z2dx = ( vnbnd(ji,jk,nibm ,nit) + vnbnd(ji,jk,nibm ,nitm2) & |
---|
| 867 | - 2.*vnbnd(ji,jk,nibm2,nitm)) / e2t(ji,jj-1) |
---|
| 868 | ! ... 2* gradi(v) (v-point i=nibm, time nitm) |
---|
| 869 | z2dy = ( vnbnd(ji+1,jk,nibm,nitm) - vnbnd(ji-1,jk,nibm,nitm) ) / e1v(ji,jj-1) |
---|
| 870 | ! ... square of the norm of grad(u) |
---|
| 871 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
---|
| 872 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
---|
| 873 | zdt = vnbnd(ji,jk,nibm,nitm2) - vnbnd(ji,jk,nibm,nit) |
---|
| 874 | ! ... j-phase speed ratio (bounded by 1) |
---|
| 875 | IF( z4nor2 == 0. ) THEN |
---|
| 876 | z4nor2=.00001 |
---|
| 877 | END IF |
---|
| 878 | z05cx = zdt * z2dx / z4nor2 |
---|
| 879 | v_cynbnd(ji,jk)=z05cx *vnmsk(ji,jk) |
---|
| 880 | END DO |
---|
| 881 | END DO |
---|
| 882 | END DO |
---|
| 883 | |
---|
| 884 | END IF |
---|
| 885 | |
---|
| 886 | END SUBROUTINE obc_rad_north |
---|
| 887 | |
---|
[32] | 888 | |
---|
[3] | 889 | SUBROUTINE obc_rad_south ( kt ) |
---|
| 890 | !!------------------------------------------------------------------------------ |
---|
[32] | 891 | !! *** SUBROUTINE obc_rad_south *** |
---|
| 892 | !! |
---|
[3] | 893 | !! ** Purpose : |
---|
| 894 | !! Perform swap of arrays to calculate radiative phase speeds at the open |
---|
| 895 | !! south boundary and calculate those phase speeds if this OBC is not fixed. |
---|
| 896 | !! In case of fixed OBC, this subrountine is not called. |
---|
| 897 | !! |
---|
| 898 | !! History : |
---|
| 899 | !! ! 95-03 (J.-M. Molines) Original from SPEM |
---|
| 900 | !! ! 97-07 (G. Madec, J.-M. Molines) additions |
---|
| 901 | !! ! 97-12 (M. Imbard) Mpp adaptation |
---|
| 902 | !! ! 00-06 (J.-M. Molines) |
---|
| 903 | !! 8.5 ! 02-10 (C. Talandier, A-M. Treguier) Free surface, F90 |
---|
| 904 | !!------------------------------------------------------------------------------ |
---|
| 905 | !! * Arguments |
---|
| 906 | INTEGER, INTENT( in ) :: kt |
---|
| 907 | |
---|
| 908 | !! * Local declarations |
---|
[32] | 909 | INTEGER :: ii |
---|
[3] | 910 | REAL(wp) :: z05cx, zdt, z4nor2, z2dx, z2dy |
---|
| 911 | REAL(wp) :: zvcb, zvcbm, zvcbm2 |
---|
| 912 | !!------------------------------------------------------------------------------ |
---|
| 913 | |
---|
| 914 | ! 1. Swap arrays before calculating radiative velocities |
---|
| 915 | ! ------------------------------------------------------ |
---|
| 916 | |
---|
| 917 | ! 1.1 zonal velocity |
---|
| 918 | ! -------------------- |
---|
| 919 | |
---|
[2152] | 920 | IF( kt > nit000 .OR. ln_rstart ) THEN |
---|
[3] | 921 | |
---|
| 922 | ! ... advance in time (time filter, array swap) |
---|
| 923 | DO jk = 1, jpkm1 |
---|
| 924 | DO ji = 1, jpi |
---|
| 925 | ! ... fields nitm2 <== nitm |
---|
| 926 | usbnd(ji,jk,nib ,nitm2) = usbnd(ji,jk,nib ,nitm)*usmsk(ji,jk) |
---|
| 927 | usbnd(ji,jk,nibm ,nitm2) = usbnd(ji,jk,nibm ,nitm)*usmsk(ji,jk) |
---|
| 928 | usbnd(ji,jk,nibm2,nitm2) = usbnd(ji,jk,nibm2,nitm)*usmsk(ji,jk) |
---|
| 929 | END DO |
---|
| 930 | END DO |
---|
| 931 | |
---|
| 932 | DO jj = fs_njs0, fs_njs1 ! Vector opt. |
---|
| 933 | DO jk = 1, jpkm1 |
---|
| 934 | DO ji = 1, jpi |
---|
| 935 | usbnd(ji,jk,nib ,nitm) = usbnd(ji,jk,nib, nit)*usmsk(ji,jk) |
---|
| 936 | usbnd(ji,jk,nibm ,nitm) = usbnd(ji,jk,nibm ,nit)*usmsk(ji,jk) |
---|
| 937 | usbnd(ji,jk,nibm2,nitm) = usbnd(ji,jk,nibm2,nit)*usmsk(ji,jk) |
---|
| 938 | ! ... fields nit <== now (kt+1) |
---|
| 939 | usbnd(ji,jk,nib ,nit) = un(ji,jj ,jk)*usmsk(ji,jk) |
---|
| 940 | usbnd(ji,jk,nibm ,nit) = un(ji,jj+1,jk)*usmsk(ji,jk) |
---|
| 941 | usbnd(ji,jk,nibm2,nit) = un(ji,jj+2,jk)*usmsk(ji,jk) |
---|
| 942 | END DO |
---|
| 943 | END DO |
---|
| 944 | END DO |
---|
[2715] | 945 | IF( lk_mpp ) CALL mppobc(usbnd,jpisd,jpisf,jpjsob,jpk*3*3,1,jpi, numout ) |
---|
[32] | 946 | |
---|
[3] | 947 | ! ... extremeties njs0,njs1 |
---|
| 948 | ii = jpisd + 1 - nimpp |
---|
| 949 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 950 | DO jk = 1, jpkm1 |
---|
| 951 | usbnd(ii,jk,nibm,nitm) = usbnd(ii+1,jk,nibm,nitm) |
---|
| 952 | END DO |
---|
| 953 | END IF |
---|
| 954 | ii = jpisf + 1 - nimpp |
---|
| 955 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 956 | DO jk = 1, jpkm1 |
---|
| 957 | usbnd(ii,jk,nibm,nitm) = usbnd(ii-1,jk,nibm,nitm) |
---|
| 958 | END DO |
---|
| 959 | END IF |
---|
| 960 | |
---|
| 961 | ! 1.2 normal velocity |
---|
| 962 | ! ------------------- |
---|
| 963 | |
---|
| 964 | !.. advance in time (time filter, array swap) |
---|
| 965 | DO jk = 1, jpkm1 |
---|
| 966 | DO ji = 1, jpi |
---|
| 967 | ! ... fields nitm2 <== nitm |
---|
| 968 | vsbnd(ji,jk,nib ,nitm2) = vsbnd(ji,jk,nib ,nitm)*vsmsk(ji,jk) |
---|
| 969 | vsbnd(ji,jk,nibm ,nitm2) = vsbnd(ji,jk,nibm ,nitm)*vsmsk(ji,jk) |
---|
| 970 | END DO |
---|
| 971 | END DO |
---|
| 972 | |
---|
| 973 | DO jj = fs_njs0, fs_njs1 ! Vector opt. |
---|
| 974 | DO jk = 1, jpkm1 |
---|
| 975 | DO ji = 1, jpi |
---|
| 976 | vsbnd(ji,jk,nib ,nitm) = vsbnd(ji,jk,nib, nit)*vsmsk(ji,jk) |
---|
| 977 | vsbnd(ji,jk,nibm ,nitm) = vsbnd(ji,jk,nibm ,nit)*vsmsk(ji,jk) |
---|
| 978 | vsbnd(ji,jk,nibm2,nitm) = vsbnd(ji,jk,nibm2,nit)*vsmsk(ji,jk) |
---|
| 979 | ! ... total or baroclinic velocity at b, bm and bm2 |
---|
| 980 | zvcb = vn (ji,jj,jk) |
---|
| 981 | zvcbm = vn (ji,jj+1,jk) |
---|
| 982 | zvcbm2 = vn (ji,jj+2,jk) |
---|
| 983 | ! ... fields nit <== now (kt+1) |
---|
| 984 | vsbnd(ji,jk,nib ,nit) = zvcb *vsmsk(ji,jk) |
---|
| 985 | vsbnd(ji,jk,nibm ,nit) = zvcbm *vsmsk(ji,jk) |
---|
| 986 | vsbnd(ji,jk,nibm2,nit) = zvcbm2 *vsmsk(ji,jk) |
---|
| 987 | END DO |
---|
| 988 | END DO |
---|
| 989 | END DO |
---|
[2715] | 990 | IF( lk_mpp ) CALL mppobc(vsbnd,jpisd,jpisf,jpjsob,jpk*3*3,1,jpi, numout ) |
---|
[32] | 991 | |
---|
[3] | 992 | ! ... extremeties njs0,njs1 |
---|
| 993 | ii = jpisd + 1 - nimpp |
---|
| 994 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 995 | DO jk = 1, jpkm1 |
---|
| 996 | vsbnd(ii,jk,nibm,nitm) = vsbnd(ii+1,jk,nibm,nitm) |
---|
| 997 | END DO |
---|
| 998 | END IF |
---|
| 999 | ii = jpisf + 1 - nimpp |
---|
| 1000 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 1001 | DO jk = 1, jpkm1 |
---|
| 1002 | vsbnd(ii,jk,nibm,nitm) = vsbnd(ii-1,jk,nibm,nitm) |
---|
| 1003 | END DO |
---|
| 1004 | END IF |
---|
| 1005 | |
---|
| 1006 | ! 1.3 Temperature and salinity |
---|
| 1007 | ! ---------------------------- |
---|
| 1008 | |
---|
| 1009 | ! ... advance in time (time filter, array swap) |
---|
| 1010 | DO jk = 1, jpkm1 |
---|
| 1011 | DO ji = 1, jpi |
---|
| 1012 | ! ... fields nitm <== nit plus time filter at the boundary |
---|
| 1013 | tsbnd(ji,jk,nib,nitm) = tsbnd(ji,jk,nib,nit)*tsmsk(ji,jk) |
---|
| 1014 | ssbnd(ji,jk,nib,nitm) = ssbnd(ji,jk,nib,nit)*tsmsk(ji,jk) |
---|
| 1015 | END DO |
---|
| 1016 | END DO |
---|
| 1017 | |
---|
| 1018 | DO jj = fs_njs0, fs_njs1 ! Vector opt. |
---|
| 1019 | DO jk = 1, jpkm1 |
---|
| 1020 | DO ji = 1, jpi |
---|
| 1021 | tsbnd(ji,jk,nibm ,nitm) = tsbnd(ji,jk,nibm ,nit)*tsmsk(ji,jk) |
---|
| 1022 | ssbnd(ji,jk,nibm ,nitm) = ssbnd(ji,jk,nibm ,nit)*tsmsk(ji,jk) |
---|
| 1023 | ! ... fields nit <== now (kt+1) |
---|
[3294] | 1024 | tsbnd(ji,jk,nib ,nit) = tsn(ji,jj ,jk,jp_tem)*tsmsk(ji,jk) |
---|
| 1025 | tsbnd(ji,jk,nibm ,nit) = tsn(ji,jj+1 ,jk,jp_tem)*tsmsk(ji,jk) |
---|
| 1026 | ssbnd(ji,jk,nib ,nit) = tsn(ji,jj ,jk,jp_sal)*tsmsk(ji,jk) |
---|
| 1027 | ssbnd(ji,jk,nibm ,nit) = tsn(ji,jj+1 ,jk,jp_sal)*tsmsk(ji,jk) |
---|
[3] | 1028 | END DO |
---|
| 1029 | END DO |
---|
| 1030 | END DO |
---|
[2715] | 1031 | IF( lk_mpp ) CALL mppobc(tsbnd,jpisd,jpisf,jpjsob,jpk*2*2,1,jpi, numout ) |
---|
| 1032 | IF( lk_mpp ) CALL mppobc(ssbnd,jpisd,jpisf,jpjsob,jpk*2*2,1,jpi, numout ) |
---|
[32] | 1033 | |
---|
[3] | 1034 | ! ... extremeties njs0,njs1 |
---|
| 1035 | ii = jpisd + 1 - nimpp |
---|
| 1036 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 1037 | DO jk = 1, jpkm1 |
---|
| 1038 | tsbnd(ii,jk,nibm,nitm) = tsbnd(ii+1,jk,nibm,nitm) |
---|
| 1039 | ssbnd(ii,jk,nibm,nitm) = ssbnd(ii+1,jk,nibm,nitm) |
---|
| 1040 | END DO |
---|
| 1041 | END IF |
---|
| 1042 | ii = jpisf + 1 - nimpp |
---|
| 1043 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 1044 | DO jk = 1, jpkm1 |
---|
| 1045 | tsbnd(ii,jk,nibm,nitm) = tsbnd(ii-1,jk,nibm,nitm) |
---|
| 1046 | ssbnd(ii,jk,nibm,nitm) = ssbnd(ii-1,jk,nibm,nitm) |
---|
| 1047 | END DO |
---|
| 1048 | END IF |
---|
| 1049 | |
---|
| 1050 | END IF ! End of array swap |
---|
| 1051 | |
---|
| 1052 | ! 2 - Calculation of radiation velocities |
---|
| 1053 | ! --------------------------------------- |
---|
| 1054 | |
---|
| 1055 | IF( kt >= nit000 +3 .OR. ln_rstart ) THEN |
---|
| 1056 | |
---|
| 1057 | ! 2.1 Calculate the normal velocity based on phase velocity u_cysbnd |
---|
| 1058 | ! ------------------------------------------------------------------- |
---|
| 1059 | ! |
---|
| 1060 | ! ji-row |
---|
| 1061 | ! | |
---|
| 1062 | ! nibm2 -----f----- jpjsob +2 |
---|
| 1063 | ! | |
---|
| 1064 | ! nibm2 -- u ----- jpjsob +2 |
---|
| 1065 | ! | |
---|
| 1066 | ! nibm -----f----- jpjsob +1 |
---|
| 1067 | ! | |
---|
| 1068 | ! nibm -- u ----- jpjsob +1 |
---|
| 1069 | ! | |
---|
| 1070 | ! nib -----f----- jpjsob |
---|
| 1071 | ! /////|////// |
---|
| 1072 | ! nib ////u///// jpjsob |
---|
| 1073 | ! |
---|
| 1074 | ! ... radiative condition plus Raymond-Kuo |
---|
| 1075 | ! ... jpjsob,(jpisdp1, jpisfm1) |
---|
| 1076 | DO jj = fs_njs0, fs_njs1 ! Vector opt. |
---|
| 1077 | DO jk = 1, jpkm1 |
---|
| 1078 | DO ji = 2, jpim1 |
---|
| 1079 | ! ... 2* j-gradient of u (f-point i=nibm, time mean) |
---|
| 1080 | z2dx = (- usbnd(ji,jk,nibm ,nit) - usbnd(ji,jk,nibm ,nitm2) & |
---|
| 1081 | + 2.*usbnd(ji,jk,nibm2,nitm) ) / e2f(ji,jj+1) |
---|
| 1082 | ! ... 2* i-gradient of u (u-point i=nibm, time nitm) |
---|
| 1083 | z2dy = ( usbnd(ji+1,jk,nibm,nitm) - usbnd(ji-1,jk,nibm,nitm) ) / e1u(ji, jj+1) |
---|
| 1084 | ! ... square of the norm of grad(v) |
---|
| 1085 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
---|
| 1086 | IF( z4nor2 == 0.) THEN |
---|
| 1087 | z4nor2 = 0.000001 |
---|
| 1088 | END IF |
---|
| 1089 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
---|
| 1090 | zdt = usbnd(ji,jk,nibm,nitm2) - usbnd(ji,jk,nibm,nit) |
---|
| 1091 | ! ... i-phase speed ratio (bounded by -1) and save the unbounded phase |
---|
| 1092 | ! velocity ratio no divided by e1f for the tracer radiation |
---|
| 1093 | z05cx = zdt * z2dx / z4nor2 |
---|
| 1094 | u_cysbnd(ji,jk) = z05cx*usmsk(ji,jk) |
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| 1095 | END DO |
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| 1096 | END DO |
---|
| 1097 | END DO |
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[2715] | 1098 | IF( lk_mpp ) CALL mppobc(u_cysbnd,jpisd,jpisf,jpjsob,jpk,1,jpi, numout ) |
---|
[32] | 1099 | |
---|
[3] | 1100 | ! ... extremeties njs0,njs1 |
---|
| 1101 | ii = jpisd + 1 - nimpp |
---|
| 1102 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 1103 | DO jk = 1, jpkm1 |
---|
| 1104 | u_cysbnd(ii,jk) = u_cysbnd(ii+1,jk) |
---|
| 1105 | END DO |
---|
| 1106 | END IF |
---|
| 1107 | ii = jpisf + 1 - nimpp |
---|
| 1108 | IF( ii >= 2 .AND. ii < jpim1 ) THEN |
---|
| 1109 | DO jk = 1, jpkm1 |
---|
| 1110 | u_cysbnd(ii,jk) = u_cysbnd(ii-1,jk) |
---|
| 1111 | END DO |
---|
| 1112 | END IF |
---|
| 1113 | |
---|
| 1114 | ! 2.2 Calculate the normal velocity based on phase velocity v_cysbnd |
---|
| 1115 | ! ------------------------------------------------------------------- |
---|
| 1116 | ! |
---|
| 1117 | ! ji-row ji-row |
---|
| 1118 | ! | | |
---|
| 1119 | ! nibm2 -----f----v----f---- jpjsob+2 |
---|
| 1120 | ! | | |
---|
| 1121 | ! nibm - u -- T -- u ---- jpjsob+2 |
---|
| 1122 | ! | | |
---|
| 1123 | ! nibm -----f----v----f---- jpjsob+1 |
---|
| 1124 | ! | | |
---|
| 1125 | ! nib -- u -- T -- u --- jpjsob+1 |
---|
| 1126 | ! | | |
---|
| 1127 | ! nib -----f----v----f---- jpjsob |
---|
| 1128 | ! ///////////////////// |
---|
| 1129 | ! |
---|
[1528] | 1130 | ! ... Free surface formulation: |
---|
[3] | 1131 | ! ... radiative conditions on the total part + relaxation toward climatology |
---|
| 1132 | ! ... jpjsob,(jpisdp1,jpisfm1) |
---|
| 1133 | DO jj = fs_njs0, fs_njs1 ! Vector opt. |
---|
| 1134 | DO jk = 1, jpkm1 |
---|
| 1135 | DO ji = 2, jpim1 |
---|
| 1136 | ! ... 2* gradj(v) (T-point i=nibm, time mean) |
---|
| 1137 | z2dx = ( - vsbnd(ji,jk,nibm ,nit) - vsbnd(ji,jk,nibm ,nitm2) & |
---|
| 1138 | + 2.*vsbnd(ji,jk,nibm2,nitm) ) / e2t(ji,jj+1) |
---|
| 1139 | ! ... 2* gradi(v) (v-point i=nibm, time nitm) |
---|
| 1140 | z2dy = ( vsbnd(ji+1,jk,nibm,nitm) - vsbnd(ji-1,jk,nibm,nitm) ) / e1v(ji,jj+1) |
---|
| 1141 | ! ... square of the norm of grad(u) |
---|
| 1142 | z4nor2 = z2dx * z2dx + z2dy * z2dy |
---|
| 1143 | IF( z4nor2 == 0.) THEN |
---|
| 1144 | z4nor2 = 0.000001 |
---|
| 1145 | END IF |
---|
| 1146 | ! ... minus time derivative (leap-frog) at nibm, without / 2 dt |
---|
| 1147 | zdt = vsbnd(ji,jk,nibm,nitm2) - vsbnd(ji,jk,nibm,nit) |
---|
| 1148 | ! ... j-phase speed ratio (bounded by -1) |
---|
| 1149 | z05cx = zdt * z2dx / z4nor2 |
---|
| 1150 | v_cysbnd(ji,jk)=z05cx*vsmsk(ji,jk) |
---|
| 1151 | END DO |
---|
| 1152 | END DO |
---|
| 1153 | END DO |
---|
| 1154 | |
---|
[32] | 1155 | ENDIF |
---|
[3] | 1156 | |
---|
| 1157 | END SUBROUTINE obc_rad_south |
---|
[32] | 1158 | |
---|
[3] | 1159 | #else |
---|
| 1160 | !!================================================================================= |
---|
| 1161 | !! *** MODULE obcrad *** |
---|
| 1162 | !! Ocean dynamic : Phase velocities for each open boundary |
---|
| 1163 | !!================================================================================= |
---|
| 1164 | CONTAINS |
---|
| 1165 | SUBROUTINE obc_rad( kt ) ! No open boundaries ==> empty routine |
---|
| 1166 | INTEGER, INTENT(in) :: kt |
---|
[32] | 1167 | WRITE(*,*) 'obc_rad: You should not have seen this print! error?', kt |
---|
[3] | 1168 | END SUBROUTINE obc_rad |
---|
| 1169 | #endif |
---|
| 1170 | |
---|
| 1171 | END MODULE obcrad |
---|