| 1 |
jmc |
1.37 |
C $Header: /u/gcmpack/MITgcm/model/src/calc_gw.F,v 1.36 2007/03/12 23:48:24 jmc Exp $ |
| 2 |
jmc |
1.7 |
C $Name: $ |
| 3 |
edhill |
1.10 |
|
| 4 |
adcroft |
1.1 |
#include "CPP_OPTIONS.h" |
| 5 |
jmc |
1.36 |
#define CALC_GW_NEW_THICK |
| 6 |
adcroft |
1.1 |
|
| 7 |
cnh |
1.9 |
CBOP |
| 8 |
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C !ROUTINE: CALC_GW |
| 9 |
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C !INTERFACE: |
| 10 |
jmc |
1.25 |
SUBROUTINE CALC_GW( |
| 11 |
jmc |
1.28 |
I bi, bj, KappaRU, KappaRV, |
| 12 |
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I myTime, myIter, myThid ) |
| 13 |
cnh |
1.9 |
C !DESCRIPTION: \bv |
| 14 |
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C *==========================================================* |
| 15 |
jmc |
1.25 |
C | S/R CALC_GW |
| 16 |
jmc |
1.30 |
C | o Calculate vertical velocity tendency terms |
| 17 |
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C | ( Non-Hydrostatic only ) |
| 18 |
cnh |
1.9 |
C *==========================================================* |
| 19 |
jmc |
1.30 |
C | In NH, the vertical momentum tendency must be |
| 20 |
jmc |
1.25 |
C | calculated explicitly and included as a source term |
| 21 |
cnh |
1.9 |
C | for a 3d pressure eqn. Calculate that term here. |
| 22 |
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C | This routine is not used in HYD calculations. |
| 23 |
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C *==========================================================* |
| 24 |
jmc |
1.25 |
C \ev |
| 25 |
cnh |
1.9 |
|
| 26 |
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C !USES: |
| 27 |
adcroft |
1.1 |
IMPLICIT NONE |
| 28 |
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C == Global variables == |
| 29 |
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#include "SIZE.h" |
| 30 |
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#include "EEPARAMS.h" |
| 31 |
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#include "PARAMS.h" |
| 32 |
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#include "GRID.h" |
| 33 |
jmc |
1.37 |
#include "RESTART.h" |
| 34 |
jmc |
1.34 |
#include "SURFACE.h" |
| 35 |
jmc |
1.22 |
#include "DYNVARS.h" |
| 36 |
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#include "NH_VARS.h" |
| 37 |
adcroft |
1.1 |
|
| 38 |
cnh |
1.9 |
C !INPUT/OUTPUT PARAMETERS: |
| 39 |
adcroft |
1.1 |
C == Routine arguments == |
| 40 |
jmc |
1.28 |
C bi,bj :: current tile indices |
| 41 |
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C KappaRU :: vertical viscosity at U points |
| 42 |
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C KappaRV :: vertical viscosity at V points |
| 43 |
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C myTime :: Current time in simulation |
| 44 |
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C myIter :: Current iteration number in simulation |
| 45 |
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C myThid :: Thread number for this instance of the routine. |
| 46 |
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INTEGER bi,bj |
| 47 |
baylor |
1.27 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 48 |
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 49 |
jmc |
1.20 |
_RL myTime |
| 50 |
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INTEGER myIter |
| 51 |
adcroft |
1.1 |
INTEGER myThid |
| 52 |
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| 53 |
adcroft |
1.3 |
#ifdef ALLOW_NONHYDROSTATIC |
| 54 |
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| 55 |
cnh |
1.9 |
C !LOCAL VARIABLES: |
| 56 |
adcroft |
1.1 |
C == Local variables == |
| 57 |
jmc |
1.30 |
C iMin,iMax |
| 58 |
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C jMin,jMax |
| 59 |
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C xA :: W-Cell face area normal to X |
| 60 |
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C yA :: W-Cell face area normal to Y |
| 61 |
jmc |
1.36 |
C rMinW,rMaxW :: column boundaries (r-units) at Western Edge |
| 62 |
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C rMinS,rMaxS :: column boundaries (r-units) at Southern Edge |
| 63 |
jmc |
1.30 |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
| 64 |
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C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
| 65 |
jmc |
1.34 |
C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
| 66 |
jmc |
1.30 |
C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
| 67 |
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C flx_NS :: vertical momentum flux, meridional direction |
| 68 |
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C flx_EW :: vertical momentum flux, zonal direction |
| 69 |
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C flxAdvUp :: vertical mom. advective flux, vertical direction (@ level k-1) |
| 70 |
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C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
| 71 |
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C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
| 72 |
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C gwDiss :: vertical momentum dissipation tendency |
| 73 |
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C i,j,k :: Loop counters |
| 74 |
jmc |
1.28 |
INTEGER iMin,iMax,jMin,jMax |
| 75 |
jmc |
1.30 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 76 |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 77 |
jmc |
1.36 |
_RS rMinW (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 78 |
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_RS rMaxW (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 79 |
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_RS rMinS (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 80 |
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_RS rMaxS (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 81 |
jmc |
1.30 |
_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 82 |
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_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 83 |
jmc |
1.34 |
_RL rThickC_C (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 84 |
jmc |
1.30 |
_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 85 |
jmc |
1.28 |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 86 |
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_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 87 |
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_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 88 |
jmc |
1.30 |
_RL flxAdvUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 89 |
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_RL flxDisUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 90 |
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_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 91 |
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_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 92 |
jmc |
1.28 |
_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 93 |
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INTEGER i,j,k, kp1 |
| 94 |
adcroft |
1.1 |
_RL wOverride |
| 95 |
jmc |
1.30 |
_RL tmp_WbarZ |
| 96 |
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_RL uTrans, vTrans, rTrans |
| 97 |
jmc |
1.28 |
_RL viscLoc |
| 98 |
jmc |
1.30 |
_RL halfRL |
| 99 |
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_RS halfRS, zeroRS |
| 100 |
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PARAMETER( halfRL = 0.5D0 ) |
| 101 |
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PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
| 102 |
jmc |
1.36 |
PARAMETER( iMin = 1 , iMax = sNx ) |
| 103 |
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PARAMETER( jMin = 1 , jMax = sNy ) |
| 104 |
cnh |
1.9 |
CEOP |
| 105 |
edhill |
1.10 |
|
| 106 |
jmc |
1.25 |
C Catch barotropic mode |
| 107 |
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IF ( Nr .LT. 2 ) RETURN |
| 108 |
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| 109 |
jmc |
1.28 |
C-- Initialise gW to zero |
| 110 |
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DO k=1,Nr |
| 111 |
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DO j=1-OLy,sNy+OLy |
| 112 |
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DO i=1-OLx,sNx+OLx |
| 113 |
adcroft |
1.1 |
gW(i,j,k,bi,bj) = 0. |
| 114 |
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ENDDO |
| 115 |
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ENDDO |
| 116 |
jmc |
1.28 |
ENDDO |
| 117 |
jmc |
1.30 |
C- Initialise gwDiss to zero |
| 118 |
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DO j=1-OLy,sNy+OLy |
| 119 |
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DO i=1-OLx,sNx+OLx |
| 120 |
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gwDiss(i,j) = 0. |
| 121 |
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ENDDO |
| 122 |
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ENDDO |
| 123 |
adcroft |
1.1 |
|
| 124 |
jmc |
1.28 |
C-- Boundaries condition at top |
| 125 |
jmc |
1.30 |
DO j=1-OLy,sNy+OLy |
| 126 |
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DO i=1-OLx,sNx+OLx |
| 127 |
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flxAdvUp(i,j) = 0. |
| 128 |
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flxDisUp(i,j) = 0. |
| 129 |
jmc |
1.28 |
ENDDO |
| 130 |
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ENDDO |
| 131 |
jmc |
1.36 |
C-- column boundaries : |
| 132 |
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IF (momViscosity) THEN |
| 133 |
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DO j=1-Oly,sNy+Oly |
| 134 |
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DO i=1-Olx+1,sNx+Olx |
| 135 |
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rMaxW(i,j) = MIN( Ro_surf(i-1,j,bi,bj), Ro_surf(i,j,bi,bj) ) |
| 136 |
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rMinW(i,j) = MAX( R_low(i-1,j,bi,bj), R_low(i,j,bi,bj) ) |
| 137 |
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ENDDO |
| 138 |
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ENDDO |
| 139 |
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DO j=1-Oly+1,sNy+Oly |
| 140 |
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DO i=1-Olx,sNx+Olx |
| 141 |
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rMaxS(i,j) = MIN( Ro_surf(i,j-1,bi,bj), Ro_surf(i,j,bi,bj) ) |
| 142 |
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rMinS(i,j) = MAX( R_low(i,j-1,bi,bj), R_low(i,j,bi,bj) ) |
| 143 |
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ENDDO |
| 144 |
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ENDDO |
| 145 |
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ENDIF |
| 146 |
adcroft |
1.1 |
|
| 147 |
jmc |
1.28 |
C--- Sweep down column |
| 148 |
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DO k=2,Nr |
| 149 |
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kp1=k+1 |
| 150 |
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wOverRide=1. |
| 151 |
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IF (k.EQ.Nr) THEN |
| 152 |
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kp1=Nr |
| 153 |
adcroft |
1.1 |
wOverRide=0. |
| 154 |
jmc |
1.28 |
ENDIF |
| 155 |
jmc |
1.30 |
C-- Compute grid factor arround a W-point: |
| 156 |
jmc |
1.36 |
#ifdef CALC_GW_NEW_THICK |
| 157 |
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DO j=1-Oly,sNy+Oly |
| 158 |
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DO i=1-Olx,sNx+Olx |
| 159 |
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IF ( maskC(i,j,k-1,bi,bj).EQ.0. .OR. |
| 160 |
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& maskC(i,j, k ,bi,bj).EQ.0. ) THEN |
| 161 |
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recip_rThickC(i,j) = 0. |
| 162 |
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ELSE |
| 163 |
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C- valid in z & p coord.; also accurate if Interface @ middle between 2 centers |
| 164 |
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recip_rThickC(i,j) = 1. _d 0 / |
| 165 |
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& ( MIN( Ro_surf(i,j,bi,bj),rC(k-1) ) |
| 166 |
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& - MAX( R_low(i,j,bi,bj), rC(k) ) |
| 167 |
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& ) |
| 168 |
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ENDIF |
| 169 |
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ENDDO |
| 170 |
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ENDDO |
| 171 |
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IF (momViscosity) THEN |
| 172 |
|
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DO j=1-Oly,sNy+Oly |
| 173 |
|
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DO i=1-Olx,sNx+Olx |
| 174 |
|
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rThickC_C(i,j) = MAX( zeroRS, |
| 175 |
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& MIN( Ro_surf(i,j,bi,bj), rC(k-1) ) |
| 176 |
|
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& -MAX( R_low(i,j,bi,bj), rC(k) ) |
| 177 |
|
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& ) |
| 178 |
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ENDDO |
| 179 |
|
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ENDDO |
| 180 |
|
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DO j=1-Oly,sNy+Oly |
| 181 |
|
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DO i=1-Olx+1,sNx+Olx |
| 182 |
|
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rThickC_W(i,j) = MAX( zeroRS, |
| 183 |
|
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& MIN( rMaxW(i,j), rC(k-1) ) |
| 184 |
|
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& -MAX( rMinW(i,j), rC(k) ) |
| 185 |
|
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& ) |
| 186 |
|
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C W-Cell Western face area: |
| 187 |
|
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xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
| 188 |
|
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c & *deepFacF(k) |
| 189 |
|
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ENDDO |
| 190 |
|
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ENDDO |
| 191 |
|
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DO j=1-Oly+1,sNy+Oly |
| 192 |
|
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DO i=1-Olx,sNx+Olx |
| 193 |
|
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rThickC_S(i,j) = MAX( zeroRS, |
| 194 |
|
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& MIN( rMaxS(i,j), rC(k-1) ) |
| 195 |
|
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& -MAX( rMinS(i,j), rC(k) ) |
| 196 |
|
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& ) |
| 197 |
|
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C W-Cell Southern face area: |
| 198 |
|
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yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
| 199 |
|
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c & *deepFacF(k) |
| 200 |
|
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
| 201 |
|
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
| 202 |
|
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ENDDO |
| 203 |
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ENDDO |
| 204 |
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ENDIF |
| 205 |
|
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#else /* CALC_GW_NEW_THICK */ |
| 206 |
jmc |
1.30 |
DO j=1-Oly,sNy+Oly |
| 207 |
|
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DO i=1-Olx,sNx+Olx |
| 208 |
|
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C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
| 209 |
|
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IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
| 210 |
|
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recip_rThickC(i,j) = 0. |
| 211 |
|
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ELSE |
| 212 |
|
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recip_rThickC(i,j) = 1. _d 0 / |
| 213 |
jmc |
1.33 |
& ( drF(k-1)*halfRS |
| 214 |
jmc |
1.30 |
& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
| 215 |
|
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& ) |
| 216 |
|
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ENDIF |
| 217 |
jmc |
1.34 |
c IF (momViscosity) THEN |
| 218 |
|
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#ifdef NONLIN_FRSURF |
| 219 |
jmc |
1.35 |
rThickC_C(i,j) = |
| 220 |
jmc |
1.34 |
& drF(k-1)*MAX( h0FacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 221 |
|
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& + drF( k )*MIN( h0FacC(i,j,k ,bi,bj), halfRS ) |
| 222 |
|
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#else |
| 223 |
jmc |
1.35 |
rThickC_C(i,j) = |
| 224 |
jmc |
1.34 |
& drF(k-1)*MAX( _hFacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 225 |
|
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& + drF( k )*MIN( _hFacC(i,j,k ,bi,bj), halfRS ) |
| 226 |
|
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#endif |
| 227 |
|
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rThickC_W(i,j) = |
| 228 |
|
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& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 229 |
|
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& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
| 230 |
|
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rThickC_S(i,j) = |
| 231 |
|
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& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
| 232 |
|
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& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
| 233 |
jmc |
1.30 |
C W-Cell Western face area: |
| 234 |
|
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xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
| 235 |
jmc |
1.35 |
c & *deepFacF(k) |
| 236 |
jmc |
1.30 |
C W-Cell Southern face area: |
| 237 |
|
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yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
| 238 |
jmc |
1.35 |
c & *deepFacF(k) |
| 239 |
|
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
| 240 |
|
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
| 241 |
jmc |
1.34 |
c ENDIF |
| 242 |
jmc |
1.30 |
ENDDO |
| 243 |
|
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ENDDO |
| 244 |
jmc |
1.36 |
#endif /* CALC_GW_NEW_THICK */ |
| 245 |
jmc |
1.30 |
|
| 246 |
jmc |
1.28 |
C-- horizontal bi-harmonic dissipation |
| 247 |
|
|
IF (momViscosity .AND. viscA4W.NE.0. ) THEN |
| 248 |
|
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C- calculate the horizontal Laplacian of vertical flow |
| 249 |
mlosch |
1.18 |
C Zonal flux d/dx W |
| 250 |
|
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DO j=1-Oly,sNy+Oly |
| 251 |
jmc |
1.30 |
flx_EW(1-Olx,j)=0. |
| 252 |
mlosch |
1.18 |
DO i=1-Olx+1,sNx+Olx |
| 253 |
jmc |
1.30 |
flx_EW(i,j) = |
| 254 |
|
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& (wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
| 255 |
|
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& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 256 |
mlosch |
1.18 |
#ifdef COSINEMETH_III |
| 257 |
jmc |
1.35 |
& *sqCosFacU(j,bi,bj) |
| 258 |
mlosch |
1.18 |
#endif |
| 259 |
|
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ENDDO |
| 260 |
jmc |
1.28 |
ENDDO |
| 261 |
mlosch |
1.18 |
C Meridional flux d/dy W |
| 262 |
|
|
DO i=1-Olx,sNx+Olx |
| 263 |
jmc |
1.30 |
flx_NS(i,1-Oly)=0. |
| 264 |
mlosch |
1.18 |
ENDDO |
| 265 |
|
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DO j=1-Oly+1,sNy+Oly |
| 266 |
|
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DO i=1-Olx,sNx+Olx |
| 267 |
jmc |
1.30 |
flx_NS(i,j) = |
| 268 |
|
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& (wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
| 269 |
|
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& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 270 |
mlosch |
1.18 |
#ifdef ISOTROPIC_COS_SCALING |
| 271 |
|
|
#ifdef COSINEMETH_III |
| 272 |
jmc |
1.30 |
& *sqCosFacV(j,bi,bj) |
| 273 |
mlosch |
1.18 |
#endif |
| 274 |
|
|
#endif |
| 275 |
|
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ENDDO |
| 276 |
|
|
ENDDO |
| 277 |
jmc |
1.25 |
|
| 278 |
mlosch |
1.18 |
C del^2 W |
| 279 |
|
|
C Difference of zonal fluxes ... |
| 280 |
|
|
DO j=1-Oly,sNy+Oly |
| 281 |
|
|
DO i=1-Olx,sNx+Olx-1 |
| 282 |
jmc |
1.30 |
del2w(i,j)=flx_EW(i+1,j)-flx_EW(i,j) |
| 283 |
mlosch |
1.18 |
ENDDO |
| 284 |
|
|
del2w(sNx+Olx,j)=0. |
| 285 |
|
|
ENDDO |
| 286 |
|
|
|
| 287 |
|
|
C ... add difference of meridional fluxes and divide by volume |
| 288 |
|
|
DO j=1-Oly,sNy+Oly-1 |
| 289 |
|
|
DO i=1-Olx,sNx+Olx |
| 290 |
jmc |
1.30 |
del2w(i,j) = ( del2w(i,j) |
| 291 |
|
|
& +(flx_NS(i,j+1)-flx_NS(i,j)) |
| 292 |
|
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 293 |
jmc |
1.35 |
& *recip_deepFac2F(k) |
| 294 |
mlosch |
1.18 |
ENDDO |
| 295 |
|
|
ENDDO |
| 296 |
|
|
C-- No-slip BCs impose a drag at walls... |
| 297 |
|
|
CML ************************************************************ |
| 298 |
|
|
CML No-slip Boundary conditions for bi-harmonic dissipation |
| 299 |
|
|
CML need to be implemented here! |
| 300 |
|
|
CML ************************************************************ |
| 301 |
jmc |
1.36 |
ELSEIF (momViscosity) THEN |
| 302 |
jmc |
1.21 |
C- Initialize del2w to zero: |
| 303 |
|
|
DO j=1-Oly,sNy+Oly |
| 304 |
|
|
DO i=1-Olx,sNx+Olx |
| 305 |
|
|
del2w(i,j) = 0. _d 0 |
| 306 |
|
|
ENDDO |
| 307 |
|
|
ENDDO |
| 308 |
jmc |
1.28 |
ENDIF |
| 309 |
mlosch |
1.18 |
|
| 310 |
jmc |
1.30 |
IF (momViscosity) THEN |
| 311 |
|
|
C Viscous Flux on Western face |
| 312 |
|
|
DO j=jMin,jMax |
| 313 |
|
|
DO i=iMin,iMax+1 |
| 314 |
|
|
flx_EW(i,j)= |
| 315 |
|
|
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
| 316 |
|
|
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
| 317 |
jmc |
1.31 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 318 |
|
|
cOld & *_recip_dxC(i,j,bi,bj)*rThickC_W(i,j) |
| 319 |
jmc |
1.34 |
& *cosFacU(j,bi,bj) |
| 320 |
jmc |
1.30 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
| 321 |
|
|
& *(del2w(i,j)-del2w(i-1,j)) |
| 322 |
jmc |
1.31 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
| 323 |
|
|
cOld & *_recip_dxC(i,j,bi,bj)*drC(k) |
| 324 |
mlosch |
1.18 |
#ifdef COSINEMETH_III |
| 325 |
jmc |
1.30 |
& *sqCosFacU(j,bi,bj) |
| 326 |
mlosch |
1.18 |
#else |
| 327 |
jmc |
1.34 |
& *cosFacU(j,bi,bj) |
| 328 |
mlosch |
1.18 |
#endif |
| 329 |
jmc |
1.30 |
ENDDO |
| 330 |
|
|
ENDDO |
| 331 |
|
|
C Viscous Flux on Southern face |
| 332 |
|
|
DO j=jMin,jMax+1 |
| 333 |
|
|
DO i=iMin,iMax |
| 334 |
|
|
flx_NS(i,j)= |
| 335 |
|
|
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
| 336 |
|
|
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
| 337 |
jmc |
1.31 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 338 |
|
|
cOld & *_recip_dyC(i,j,bi,bj)*rThickC_S(i,j) |
| 339 |
jmc |
1.34 |
#ifdef ISOTROPIC_COS_SCALING |
| 340 |
|
|
& *cosFacV(j,bi,bj) |
| 341 |
|
|
#endif |
| 342 |
jmc |
1.30 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
| 343 |
|
|
& *(del2w(i,j)-del2w(i,j-1)) |
| 344 |
jmc |
1.31 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
| 345 |
|
|
cOld & *_recip_dyC(i,j,bi,bj)*drC(k) |
| 346 |
jmc |
1.30 |
#ifdef ISOTROPIC_COS_SCALING |
| 347 |
mlosch |
1.18 |
#ifdef COSINEMETH_III |
| 348 |
jmc |
1.30 |
& *sqCosFacV(j,bi,bj) |
| 349 |
jmc |
1.25 |
#else |
| 350 |
jmc |
1.34 |
& *cosFacV(j,bi,bj) |
| 351 |
jmc |
1.30 |
#endif |
| 352 |
mlosch |
1.18 |
#endif |
| 353 |
jmc |
1.30 |
ENDDO |
| 354 |
|
|
ENDDO |
| 355 |
|
|
C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 356 |
|
|
DO j=jMin,jMax |
| 357 |
|
|
DO i=iMin,iMax |
| 358 |
|
|
C Interpolate vert viscosity to center of tracer-cell (level k): |
| 359 |
|
|
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
| 360 |
|
|
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
| 361 |
|
|
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
| 362 |
|
|
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
| 363 |
|
|
& )*0.125 _d 0 |
| 364 |
|
|
flx_Dn(i,j) = |
| 365 |
|
|
& - viscLoc*( wVel(i,j,kp1,bi,bj)*wOverRide |
| 366 |
|
|
& -wVel(i,j, k ,bi,bj) )*rkSign |
| 367 |
jmc |
1.31 |
& *recip_drF(k)*rA(i,j,bi,bj) |
| 368 |
jmc |
1.35 |
& *deepFac2C(k)*rhoFacC(k) |
| 369 |
jmc |
1.31 |
cOld & *recip_drF(k) |
| 370 |
jmc |
1.30 |
ENDDO |
| 371 |
|
|
ENDDO |
| 372 |
|
|
C Tendency is minus divergence of viscous fluxes: |
| 373 |
jmc |
1.35 |
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
| 374 |
jmc |
1.30 |
DO j=jMin,jMax |
| 375 |
|
|
DO i=iMin,iMax |
| 376 |
|
|
gwDiss(i,j) = |
| 377 |
jmc |
1.31 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 378 |
|
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 379 |
|
|
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
| 380 |
jmc |
1.35 |
& *recip_rhoFacF(k) |
| 381 |
jmc |
1.31 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 382 |
jmc |
1.35 |
& *recip_deepFac2F(k) |
| 383 |
jmc |
1.31 |
cOld gwDiss(i,j) = |
| 384 |
|
|
cOld & -( |
| 385 |
|
|
cOld & +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 386 |
|
|
cOld & +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 387 |
|
|
cOld & + ( flxDisUp(i,j)-flx_Dn(i,j) ) |
| 388 |
|
|
c & )*recip_rThickC(i,j) |
| 389 |
|
|
cOld & )*recip_drC(k) |
| 390 |
jmc |
1.28 |
C-- prepare for next level (k+1) |
| 391 |
jmc |
1.30 |
flxDisUp(i,j)=flx_Dn(i,j) |
| 392 |
|
|
ENDDO |
| 393 |
|
|
ENDDO |
| 394 |
|
|
ENDIF |
| 395 |
|
|
|
| 396 |
jmc |
1.36 |
IF ( momViscosity .AND. no_slip_sides ) THEN |
| 397 |
jmc |
1.30 |
C- No-slip BCs impose a drag at walls... |
| 398 |
jmc |
1.34 |
CALL MOM_W_SIDEDRAG( |
| 399 |
|
|
I bi,bj,k, |
| 400 |
|
|
I wVel, del2w, |
| 401 |
|
|
I rThickC_C, recip_rThickC, |
| 402 |
|
|
I viscAh_W, viscA4_W, |
| 403 |
|
|
O gwAdd, |
| 404 |
|
|
I myThid ) |
| 405 |
|
|
DO j=jMin,jMax |
| 406 |
|
|
DO i=iMin,iMax |
| 407 |
|
|
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
| 408 |
|
|
ENDDO |
| 409 |
|
|
ENDDO |
| 410 |
jmc |
1.30 |
ENDIF |
| 411 |
|
|
|
| 412 |
|
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 413 |
|
|
|
| 414 |
|
|
IF ( momAdvection ) THEN |
| 415 |
|
|
C Advective Flux on Western face |
| 416 |
|
|
DO j=jMin,jMax |
| 417 |
|
|
DO i=iMin,iMax+1 |
| 418 |
|
|
C transport through Western face area: |
| 419 |
|
|
uTrans = ( |
| 420 |
|
|
& drF(k-1)*_hFacW(i,j,k-1,bi,bj)*uVel(i,j,k-1,bi,bj) |
| 421 |
jmc |
1.35 |
& *rhoFacC(k-1) |
| 422 |
jmc |
1.30 |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
| 423 |
jmc |
1.35 |
& *rhoFacC(k) |
| 424 |
|
|
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
| 425 |
jmc |
1.31 |
cOld & )*halfRL |
| 426 |
jmc |
1.30 |
flx_EW(i,j)= |
| 427 |
|
|
& uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
| 428 |
|
|
ENDDO |
| 429 |
|
|
ENDDO |
| 430 |
|
|
C Advective Flux on Southern face |
| 431 |
|
|
DO j=jMin,jMax+1 |
| 432 |
|
|
DO i=iMin,iMax |
| 433 |
|
|
C transport through Southern face area: |
| 434 |
|
|
vTrans = ( |
| 435 |
|
|
& drF(k-1)*_hFacS(i,j,k-1,bi,bj)*vVel(i,j,k-1,bi,bj) |
| 436 |
jmc |
1.35 |
& *rhoFacC(k-1) |
| 437 |
jmc |
1.30 |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
| 438 |
jmc |
1.35 |
& *rhoFacC(k) |
| 439 |
|
|
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
| 440 |
jmc |
1.31 |
cOld & )*halfRL |
| 441 |
jmc |
1.30 |
flx_NS(i,j)= |
| 442 |
|
|
& vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
| 443 |
|
|
ENDDO |
| 444 |
|
|
ENDDO |
| 445 |
|
|
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
| 446 |
|
|
DO j=jMin,jMax |
| 447 |
|
|
DO i=iMin,iMax |
| 448 |
jmc |
1.36 |
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
| 449 |
|
|
tmp_WbarZ = halfRL* |
| 450 |
|
|
& ( wVel(i,j, k ,bi,bj)*rVel2wUnit(k) |
| 451 |
|
|
& +wVel(i,j,kp1,bi,bj)*rVel2wUnit(kp1)*wOverRide ) |
| 452 |
jmc |
1.30 |
C transport through Lower face area: |
| 453 |
jmc |
1.35 |
rTrans = halfRL* |
| 454 |
|
|
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
| 455 |
|
|
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
| 456 |
|
|
& *wOverRide |
| 457 |
|
|
& )*rA(i,j,bi,bj) |
| 458 |
jmc |
1.31 |
flx_Dn(i,j) = rTrans*tmp_WbarZ |
| 459 |
|
|
cOld flx_Dn(i,j) = tmp_WbarZ*tmp_WbarZ |
| 460 |
jmc |
1.30 |
ENDDO |
| 461 |
|
|
ENDDO |
| 462 |
|
|
C Tendency is minus divergence of advective fluxes: |
| 463 |
jmc |
1.35 |
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
| 464 |
jmc |
1.30 |
DO j=jMin,jMax |
| 465 |
|
|
DO i=iMin,iMax |
| 466 |
|
|
gW(i,j,k,bi,bj) = |
| 467 |
jmc |
1.31 |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 468 |
|
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 469 |
jmc |
1.36 |
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
| 470 |
jmc |
1.31 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
| 471 |
jmc |
1.35 |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
| 472 |
jmc |
1.31 |
cOld gW(i,j,k,bi,bj) = |
| 473 |
|
|
cOld & -( |
| 474 |
|
|
cOld & +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
| 475 |
|
|
cOld & +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
| 476 |
|
|
cOld & + ( flxAdvUp(i,j)-flx_Dn(i,j) ) |
| 477 |
|
|
c & )*recip_rThickC(i,j) |
| 478 |
|
|
cOld & )*recip_drC(k) |
| 479 |
jmc |
1.30 |
C-- prepare for next level (k+1) |
| 480 |
|
|
flxAdvUp(i,j)=flx_Dn(i,j) |
| 481 |
|
|
ENDDO |
| 482 |
|
|
ENDDO |
| 483 |
|
|
ENDIF |
| 484 |
|
|
|
| 485 |
|
|
IF ( useNHMTerms ) THEN |
| 486 |
|
|
CALL MOM_W_METRIC_NH( |
| 487 |
|
|
I bi,bj,k, |
| 488 |
|
|
I uVel, vVel, |
| 489 |
|
|
O gwAdd, |
| 490 |
|
|
I myThid ) |
| 491 |
|
|
DO j=jMin,jMax |
| 492 |
|
|
DO i=iMin,iMax |
| 493 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 494 |
|
|
ENDDO |
| 495 |
|
|
ENDDO |
| 496 |
|
|
ENDIF |
| 497 |
jmc |
1.32 |
IF ( use3dCoriolis ) THEN |
| 498 |
jmc |
1.30 |
CALL MOM_W_CORIOLIS_NH( |
| 499 |
|
|
I bi,bj,k, |
| 500 |
|
|
I uVel, vVel, |
| 501 |
|
|
O gwAdd, |
| 502 |
|
|
I myThid ) |
| 503 |
|
|
DO j=jMin,jMax |
| 504 |
|
|
DO i=iMin,iMax |
| 505 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
| 506 |
|
|
ENDDO |
| 507 |
|
|
ENDDO |
| 508 |
|
|
ENDIF |
| 509 |
adcroft |
1.1 |
|
| 510 |
jmc |
1.25 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
| 511 |
|
|
|
| 512 |
jmc |
1.30 |
C-- Dissipation term inside the Adams-Bashforth: |
| 513 |
|
|
IF ( momViscosity .AND. momDissip_In_AB) THEN |
| 514 |
|
|
DO j=jMin,jMax |
| 515 |
|
|
DO i=iMin,iMax |
| 516 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 517 |
|
|
ENDDO |
| 518 |
|
|
ENDDO |
| 519 |
|
|
ENDIF |
| 520 |
|
|
|
| 521 |
jmc |
1.25 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
| 522 |
|
|
C and save gW_[n] into gwNm1 for the next time step. |
| 523 |
|
|
c#ifdef ALLOW_ADAMSBASHFORTH_3 |
| 524 |
jmc |
1.28 |
c CALL ADAMS_BASHFORTH3( |
| 525 |
|
|
c I bi, bj, k, |
| 526 |
|
|
c U gW, gwNm, |
| 527 |
jmc |
1.37 |
c I nHydStartAB, myIter, myThid ) |
| 528 |
jmc |
1.25 |
c#else /* ALLOW_ADAMSBASHFORTH_3 */ |
| 529 |
jmc |
1.28 |
CALL ADAMS_BASHFORTH2( |
| 530 |
|
|
I bi, bj, k, |
| 531 |
|
|
U gW, gwNm1, |
| 532 |
jmc |
1.37 |
I nHydStartAB, myIter, myThid ) |
| 533 |
jmc |
1.25 |
c#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
| 534 |
jmc |
1.21 |
|
| 535 |
jmc |
1.30 |
C-- Dissipation term outside the Adams-Bashforth: |
| 536 |
|
|
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
| 537 |
|
|
DO j=jMin,jMax |
| 538 |
|
|
DO i=iMin,iMax |
| 539 |
|
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
| 540 |
|
|
ENDDO |
| 541 |
|
|
ENDDO |
| 542 |
|
|
ENDIF |
| 543 |
|
|
|
| 544 |
jmc |
1.25 |
C- end of the k loop |
| 545 |
adcroft |
1.4 |
ENDDO |
| 546 |
|
|
|
| 547 |
adcroft |
1.1 |
#endif /* ALLOW_NONHYDROSTATIC */ |
| 548 |
|
|
|
| 549 |
|
|
RETURN |
| 550 |
|
|
END |
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