| 1 |
edhill |
1.26 |
C $Header: /u/gcmpack/MITgcm/pkg/mom_vecinv/mom_vecinv.F,v 1.25 2004/10/08 17:03:21 edhill Exp $ |
| 2 |
adcroft |
1.2 |
C $Name: $ |
| 3 |
adcroft |
1.1 |
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| 4 |
adcroft |
1.21 |
#include "MOM_VECINV_OPTIONS.h" |
| 5 |
adcroft |
1.1 |
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| 6 |
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SUBROUTINE MOM_VECINV( |
| 7 |
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I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
| 8 |
jmc |
1.4 |
I dPhiHydX,dPhiHydY,KappaRU,KappaRV, |
| 9 |
adcroft |
1.1 |
U fVerU, fVerV, |
| 10 |
jmc |
1.15 |
I myTime, myIter, myThid) |
| 11 |
adcroft |
1.1 |
C /==========================================================\ |
| 12 |
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C | S/R MOM_VECINV | |
| 13 |
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C | o Form the right hand-side of the momentum equation. | |
| 14 |
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C |==========================================================| |
| 15 |
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C | Terms are evaluated one layer at a time working from | |
| 16 |
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C | the bottom to the top. The vertically integrated | |
| 17 |
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C | barotropic flow tendency term is evluated by summing the | |
| 18 |
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C | tendencies. | |
| 19 |
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C | Notes: | |
| 20 |
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C | We have not sorted out an entirely satisfactory formula | |
| 21 |
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C | for the diffusion equation bc with lopping. The present | |
| 22 |
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C | form produces a diffusive flux that does not scale with | |
| 23 |
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C | open-area. Need to do something to solidfy this and to | |
| 24 |
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C | deal "properly" with thin walls. | |
| 25 |
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C \==========================================================/ |
| 26 |
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IMPLICIT NONE |
| 27 |
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| 28 |
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C == Global variables == |
| 29 |
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#include "SIZE.h" |
| 30 |
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#include "DYNVARS.h" |
| 31 |
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#include "EEPARAMS.h" |
| 32 |
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#include "PARAMS.h" |
| 33 |
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#include "GRID.h" |
| 34 |
jmc |
1.7 |
#ifdef ALLOW_TIMEAVE |
| 35 |
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#include "TIMEAVE_STATV.h" |
| 36 |
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#endif |
| 37 |
adcroft |
1.1 |
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| 38 |
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C == Routine arguments == |
| 39 |
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C fVerU - Flux of momentum in the vertical |
| 40 |
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C fVerV direction out of the upper face of a cell K |
| 41 |
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C ( flux into the cell above ). |
| 42 |
jmc |
1.4 |
C dPhiHydX,Y :: Gradient (X & Y dir.) of Hydrostatic Potential |
| 43 |
adcroft |
1.1 |
C bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation |
| 44 |
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C results will be set. |
| 45 |
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C kUp, kDown - Index for upper and lower layers. |
| 46 |
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C myThid - Instance number for this innvocation of CALC_MOM_RHS |
| 47 |
jmc |
1.4 |
_RL dPhiHydX(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 48 |
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_RL dPhiHydY(1-Olx:sNx+Olx,1-Oly:sNy+Oly) |
| 49 |
adcroft |
1.1 |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 50 |
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
| 51 |
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_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 52 |
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_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 53 |
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INTEGER kUp,kDown |
| 54 |
jmc |
1.15 |
_RL myTime |
| 55 |
adcroft |
1.2 |
INTEGER myIter |
| 56 |
adcroft |
1.1 |
INTEGER myThid |
| 57 |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
| 58 |
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| 59 |
edhill |
1.11 |
#ifdef ALLOW_MOM_VECINV |
| 60 |
jmc |
1.7 |
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| 61 |
adcroft |
1.2 |
C == Functions == |
| 62 |
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LOGICAL DIFFERENT_MULTIPLE |
| 63 |
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EXTERNAL DIFFERENT_MULTIPLE |
| 64 |
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| 65 |
adcroft |
1.1 |
C == Local variables == |
| 66 |
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_RL aF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 67 |
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_RL vF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 68 |
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_RL vrF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 69 |
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_RL uCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 70 |
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_RL vCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 71 |
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_RL mT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 72 |
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_RL pF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 73 |
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_RL del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 74 |
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_RL del2v(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 75 |
adcroft |
1.3 |
_RL tension(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 76 |
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_RL strain(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 77 |
adcroft |
1.1 |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 78 |
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_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 79 |
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_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 80 |
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_RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 81 |
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_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 82 |
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_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 83 |
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_RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 84 |
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_RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 85 |
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_RL uDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 86 |
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_RL vDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 87 |
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C I,J,K - Loop counters |
| 88 |
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INTEGER i,j,k |
| 89 |
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C rVelMaskOverride - Factor for imposing special surface boundary conditions |
| 90 |
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C ( set according to free-surface condition ). |
| 91 |
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C hFacROpen - Lopped cell factos used tohold fraction of open |
| 92 |
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C hFacRClosed and closed cell wall. |
| 93 |
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_RL rVelMaskOverride |
| 94 |
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C xxxFac - On-off tracer parameters used for switching terms off. |
| 95 |
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_RL uDudxFac |
| 96 |
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_RL AhDudxFac |
| 97 |
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_RL A4DuxxdxFac |
| 98 |
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_RL vDudyFac |
| 99 |
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_RL AhDudyFac |
| 100 |
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_RL A4DuyydyFac |
| 101 |
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_RL rVelDudrFac |
| 102 |
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_RL ArDudrFac |
| 103 |
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_RL fuFac |
| 104 |
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_RL phxFac |
| 105 |
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_RL mtFacU |
| 106 |
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_RL uDvdxFac |
| 107 |
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_RL AhDvdxFac |
| 108 |
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_RL A4DvxxdxFac |
| 109 |
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_RL vDvdyFac |
| 110 |
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_RL AhDvdyFac |
| 111 |
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_RL A4DvyydyFac |
| 112 |
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_RL rVelDvdrFac |
| 113 |
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_RL ArDvdrFac |
| 114 |
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_RL fvFac |
| 115 |
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_RL phyFac |
| 116 |
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_RL vForcFac |
| 117 |
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_RL mtFacV |
| 118 |
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_RL wVelBottomOverride |
| 119 |
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LOGICAL bottomDragTerms |
| 120 |
jmc |
1.15 |
LOGICAL writeDiag |
| 121 |
adcroft |
1.1 |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 122 |
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_RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 123 |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 124 |
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_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 125 |
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| 126 |
edhill |
1.25 |
#ifdef ALLOW_MNC |
| 127 |
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INTEGER offsets(9) |
| 128 |
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#endif |
| 129 |
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| 130 |
heimbach |
1.9 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 131 |
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C-- only the kDown part of fverU/V is set in this subroutine |
| 132 |
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C-- the kUp is still required |
| 133 |
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C-- In the case of mom_fluxform Kup is set as well |
| 134 |
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C-- (at least in part) |
| 135 |
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fVerU(1,1,kUp) = fVerU(1,1,kUp) |
| 136 |
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fVerV(1,1,kUp) = fVerV(1,1,kUp) |
| 137 |
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#endif |
| 138 |
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| 139 |
adcroft |
1.1 |
rVelMaskOverride=1. |
| 140 |
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IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac |
| 141 |
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wVelBottomOverride=1. |
| 142 |
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IF (k.EQ.Nr) wVelBottomOverride=0. |
| 143 |
jmc |
1.15 |
writeDiag = DIFFERENT_MULTIPLE(diagFreq, myTime, |
| 144 |
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& myTime-deltaTClock) |
| 145 |
adcroft |
1.1 |
|
| 146 |
edhill |
1.24 |
#ifdef ALLOW_MNC |
| 147 |
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IF (useMNC .AND. snapshot_mnc .AND. writeDiag) THEN |
| 148 |
edhill |
1.25 |
IF ((bi .EQ. 1).AND.(bj .EQ. 1).AND.(k .EQ. 1)) THEN |
| 149 |
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CALL MNC_CW_SET_UDIM('mom_vi', -1, myThid) |
| 150 |
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CALL MNC_CW_I_W_S('I','mom_vi',0,0,'iter',myIter,myThid) |
| 151 |
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CALL MNC_CW_SET_UDIM('mom_vi', 0, myThid) |
| 152 |
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ENDIF |
| 153 |
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DO i = 1,9 |
| 154 |
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offsets(i) = 0 |
| 155 |
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ENDDO |
| 156 |
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offsets(3) = k |
| 157 |
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C write(*,*) 'offsets = ',(offsets(i),i=1,9) |
| 158 |
edhill |
1.24 |
ENDIF |
| 159 |
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#endif /* ALLOW_MNC */ |
| 160 |
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| 161 |
adcroft |
1.1 |
C Initialise intermediate terms |
| 162 |
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DO J=1-OLy,sNy+OLy |
| 163 |
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DO I=1-OLx,sNx+OLx |
| 164 |
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aF(i,j) = 0. |
| 165 |
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vF(i,j) = 0. |
| 166 |
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vrF(i,j) = 0. |
| 167 |
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uCf(i,j) = 0. |
| 168 |
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vCf(i,j) = 0. |
| 169 |
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mT(i,j) = 0. |
| 170 |
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pF(i,j) = 0. |
| 171 |
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del2u(i,j) = 0. |
| 172 |
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del2v(i,j) = 0. |
| 173 |
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dStar(i,j) = 0. |
| 174 |
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zStar(i,j) = 0. |
| 175 |
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uDiss(i,j) = 0. |
| 176 |
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vDiss(i,j) = 0. |
| 177 |
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vort3(i,j) = 0. |
| 178 |
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omega3(i,j) = 0. |
| 179 |
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ke(i,j) = 0. |
| 180 |
heimbach |
1.8 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 181 |
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strain(i,j) = 0. _d 0 |
| 182 |
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tension(i,j) = 0. _d 0 |
| 183 |
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#endif |
| 184 |
adcroft |
1.1 |
ENDDO |
| 185 |
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ENDDO |
| 186 |
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| 187 |
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C-- Term by term tracer parmeters |
| 188 |
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C o U momentum equation |
| 189 |
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uDudxFac = afFacMom*1. |
| 190 |
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AhDudxFac = vfFacMom*1. |
| 191 |
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A4DuxxdxFac = vfFacMom*1. |
| 192 |
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vDudyFac = afFacMom*1. |
| 193 |
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AhDudyFac = vfFacMom*1. |
| 194 |
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A4DuyydyFac = vfFacMom*1. |
| 195 |
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rVelDudrFac = afFacMom*1. |
| 196 |
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ArDudrFac = vfFacMom*1. |
| 197 |
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mTFacU = mtFacMom*1. |
| 198 |
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fuFac = cfFacMom*1. |
| 199 |
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phxFac = pfFacMom*1. |
| 200 |
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C o V momentum equation |
| 201 |
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uDvdxFac = afFacMom*1. |
| 202 |
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AhDvdxFac = vfFacMom*1. |
| 203 |
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A4DvxxdxFac = vfFacMom*1. |
| 204 |
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vDvdyFac = afFacMom*1. |
| 205 |
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AhDvdyFac = vfFacMom*1. |
| 206 |
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A4DvyydyFac = vfFacMom*1. |
| 207 |
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rVelDvdrFac = afFacMom*1. |
| 208 |
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ArDvdrFac = vfFacMom*1. |
| 209 |
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mTFacV = mtFacMom*1. |
| 210 |
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fvFac = cfFacMom*1. |
| 211 |
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phyFac = pfFacMom*1. |
| 212 |
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vForcFac = foFacMom*1. |
| 213 |
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| 214 |
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IF ( no_slip_bottom |
| 215 |
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& .OR. bottomDragQuadratic.NE.0. |
| 216 |
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& .OR. bottomDragLinear.NE.0.) THEN |
| 217 |
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bottomDragTerms=.TRUE. |
| 218 |
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ELSE |
| 219 |
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bottomDragTerms=.FALSE. |
| 220 |
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ENDIF |
| 221 |
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| 222 |
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C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP |
| 223 |
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IF (staggerTimeStep) THEN |
| 224 |
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phxFac = 0. |
| 225 |
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phyFac = 0. |
| 226 |
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ENDIF |
| 227 |
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| 228 |
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C-- Calculate open water fraction at vorticity points |
| 229 |
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CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
| 230 |
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| 231 |
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C---- Calculate common quantities used in both U and V equations |
| 232 |
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C Calculate tracer cell face open areas |
| 233 |
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DO j=1-OLy,sNy+OLy |
| 234 |
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DO i=1-OLx,sNx+OLx |
| 235 |
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xA(i,j) = _dyG(i,j,bi,bj) |
| 236 |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
| 237 |
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yA(i,j) = _dxG(i,j,bi,bj) |
| 238 |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
| 239 |
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ENDDO |
| 240 |
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ENDDO |
| 241 |
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| 242 |
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C Make local copies of horizontal flow field |
| 243 |
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DO j=1-OLy,sNy+OLy |
| 244 |
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DO i=1-OLx,sNx+OLx |
| 245 |
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uFld(i,j) = uVel(i,j,k,bi,bj) |
| 246 |
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vFld(i,j) = vVel(i,j,k,bi,bj) |
| 247 |
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ENDDO |
| 248 |
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ENDDO |
| 249 |
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| 250 |
jmc |
1.7 |
C note (jmc) : Dissipation and Vort3 advection do not necesary |
| 251 |
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C use the same maskZ (and hFacZ) => needs 2 call(s) |
| 252 |
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c CALL MOM_VI_HFACZ_DISS(bi,bj,k,hFacZ,r_hFacZ,myThid) |
| 253 |
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| 254 |
adcroft |
1.16 |
CALL MOM_CALC_KE(bi,bj,k,2,uFld,vFld,KE,myThid) |
| 255 |
adcroft |
1.1 |
|
| 256 |
adcroft |
1.17 |
CALL MOM_CALC_HDIV(bi,bj,k,2,uFld,vFld,hDiv,myThid) |
| 257 |
adcroft |
1.1 |
|
| 258 |
adcroft |
1.18 |
CALL MOM_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
| 259 |
adcroft |
1.1 |
|
| 260 |
adcroft |
1.20 |
IF (useAbsVorticity) |
| 261 |
|
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& CALL MOM_CALC_ABSVORT3(bi,bj,k,vort3,omega3,myThid) |
| 262 |
adcroft |
1.1 |
|
| 263 |
|
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IF (momViscosity) THEN |
| 264 |
|
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C Calculate del^2 u and del^2 v for bi-harmonic term |
| 265 |
adcroft |
1.19 |
IF (viscA4.NE.0. |
| 266 |
|
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& .OR. viscA4Grid.NE.0. |
| 267 |
|
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& .OR. viscC4leith.NE.0. |
| 268 |
|
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& ) THEN |
| 269 |
adcroft |
1.2 |
CALL MOM_VI_DEL2UV(bi,bj,k,hDiv,vort3,hFacZ, |
| 270 |
|
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O del2u,del2v, |
| 271 |
|
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& myThid) |
| 272 |
adcroft |
1.17 |
CALL MOM_CALC_HDIV(bi,bj,k,2,del2u,del2v,dStar,myThid) |
| 273 |
adcroft |
1.18 |
CALL MOM_CALC_RELVORT3( |
| 274 |
adcroft |
1.2 |
& bi,bj,k,del2u,del2v,hFacZ,zStar,myThid) |
| 275 |
|
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ENDIF |
| 276 |
adcroft |
1.1 |
C Calculate dissipation terms for U and V equations |
| 277 |
adcroft |
1.2 |
C in terms of vorticity and divergence |
| 278 |
adcroft |
1.19 |
IF (viscAh.NE.0. .OR. viscA4.NE.0. |
| 279 |
|
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& .OR. viscAhGrid.NE.0. .OR. viscA4Grid.NE.0. |
| 280 |
|
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& .OR. viscC2leith.NE.0. .OR. viscC4leith.NE.0. |
| 281 |
|
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& ) THEN |
| 282 |
adcroft |
1.2 |
CALL MOM_VI_HDISSIP(bi,bj,k,hDiv,vort3,hFacZ,dStar,zStar, |
| 283 |
|
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O uDiss,vDiss, |
| 284 |
|
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& myThid) |
| 285 |
|
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ENDIF |
| 286 |
adcroft |
1.3 |
C or in terms of tension and strain |
| 287 |
|
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IF (viscAstrain.NE.0. .OR. viscAtension.NE.0.) THEN |
| 288 |
|
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CALL MOM_CALC_TENSION(bi,bj,k,uFld,vFld, |
| 289 |
|
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O tension, |
| 290 |
|
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I myThid) |
| 291 |
|
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CALL MOM_CALC_STRAIN(bi,bj,k,uFld,vFld,hFacZ, |
| 292 |
|
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O strain, |
| 293 |
|
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I myThid) |
| 294 |
|
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CALL MOM_HDISSIP(bi,bj,k, |
| 295 |
|
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I tension,strain,hFacZ,viscAtension,viscAstrain, |
| 296 |
|
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O uDiss,vDiss, |
| 297 |
|
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I myThid) |
| 298 |
|
|
ENDIF |
| 299 |
adcroft |
1.1 |
ENDIF |
| 300 |
|
|
|
| 301 |
jmc |
1.7 |
C- Return to standard hfacZ (min-4) and mask vort3 accordingly: |
| 302 |
|
|
c CALL MOM_VI_MASK_VORT3(bi,bj,k,hFacZ,r_hFacZ,vort3,myThid) |
| 303 |
|
|
|
| 304 |
adcroft |
1.1 |
C---- Zonal momentum equation starts here |
| 305 |
|
|
|
| 306 |
|
|
C-- Vertical flux (fVer is at upper face of "u" cell) |
| 307 |
|
|
|
| 308 |
|
|
C Eddy component of vertical flux (interior component only) -> vrF |
| 309 |
|
|
IF (momViscosity.AND..NOT.implicitViscosity) |
| 310 |
|
|
& CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid) |
| 311 |
|
|
|
| 312 |
|
|
C Combine fluxes |
| 313 |
|
|
DO j=jMin,jMax |
| 314 |
|
|
DO i=iMin,iMax |
| 315 |
|
|
fVerU(i,j,kDown) = ArDudrFac*vrF(i,j) |
| 316 |
|
|
ENDDO |
| 317 |
|
|
ENDDO |
| 318 |
|
|
|
| 319 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
| 320 |
|
|
DO j=2-Oly,sNy+Oly-1 |
| 321 |
|
|
DO i=2-Olx,sNx+Olx-1 |
| 322 |
|
|
gU(i,j,k,bi,bj) = uDiss(i,j) |
| 323 |
|
|
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
| 324 |
|
|
& *recip_rAw(i,j,bi,bj) |
| 325 |
|
|
& *( |
| 326 |
|
|
& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
| 327 |
|
|
& ) |
| 328 |
jmc |
1.4 |
& - phxFac*dPhiHydX(i,j) |
| 329 |
adcroft |
1.1 |
ENDDO |
| 330 |
|
|
ENDDO |
| 331 |
|
|
|
| 332 |
|
|
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
| 333 |
|
|
IF (momViscosity.AND.no_slip_sides) THEN |
| 334 |
|
|
C- No-slip BCs impose a drag at walls... |
| 335 |
|
|
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,del2u,hFacZ,vF,myThid) |
| 336 |
|
|
DO j=jMin,jMax |
| 337 |
|
|
DO i=iMin,iMax |
| 338 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
| 339 |
|
|
ENDDO |
| 340 |
|
|
ENDDO |
| 341 |
|
|
ENDIF |
| 342 |
heimbach |
1.8 |
|
| 343 |
adcroft |
1.1 |
C- No-slip BCs impose a drag at bottom |
| 344 |
|
|
IF (momViscosity.AND.bottomDragTerms) THEN |
| 345 |
|
|
CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
| 346 |
|
|
DO j=jMin,jMax |
| 347 |
|
|
DO i=iMin,iMax |
| 348 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
| 349 |
|
|
ENDDO |
| 350 |
|
|
ENDDO |
| 351 |
|
|
ENDIF |
| 352 |
|
|
|
| 353 |
|
|
C-- Metric terms for curvilinear grid systems |
| 354 |
|
|
c IF (usingSphericalPolarMTerms) THEN |
| 355 |
|
|
C o Spherical polar grid metric terms |
| 356 |
|
|
c CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
| 357 |
|
|
c DO j=jMin,jMax |
| 358 |
|
|
c DO i=iMin,iMax |
| 359 |
|
|
c gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
| 360 |
|
|
c ENDDO |
| 361 |
|
|
c ENDDO |
| 362 |
|
|
c ENDIF |
| 363 |
|
|
|
| 364 |
|
|
C---- Meridional momentum equation starts here |
| 365 |
|
|
|
| 366 |
|
|
C-- Vertical flux (fVer is at upper face of "v" cell) |
| 367 |
|
|
|
| 368 |
|
|
C Eddy component of vertical flux (interior component only) -> vrF |
| 369 |
|
|
IF (momViscosity.AND..NOT.implicitViscosity) |
| 370 |
|
|
& CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid) |
| 371 |
|
|
|
| 372 |
|
|
C Combine fluxes -> fVerV |
| 373 |
|
|
DO j=jMin,jMax |
| 374 |
|
|
DO i=iMin,iMax |
| 375 |
|
|
fVerV(i,j,kDown) = ArDvdrFac*vrF(i,j) |
| 376 |
|
|
ENDDO |
| 377 |
|
|
ENDDO |
| 378 |
|
|
|
| 379 |
|
|
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
| 380 |
|
|
DO j=jMin,jMax |
| 381 |
|
|
DO i=iMin,iMax |
| 382 |
|
|
gV(i,j,k,bi,bj) = vDiss(i,j) |
| 383 |
|
|
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
| 384 |
|
|
& *recip_rAs(i,j,bi,bj) |
| 385 |
|
|
& *( |
| 386 |
|
|
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
| 387 |
|
|
& ) |
| 388 |
jmc |
1.4 |
& - phyFac*dPhiHydY(i,j) |
| 389 |
adcroft |
1.1 |
ENDDO |
| 390 |
|
|
ENDDO |
| 391 |
|
|
|
| 392 |
|
|
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
| 393 |
|
|
IF (momViscosity.AND.no_slip_sides) THEN |
| 394 |
|
|
C- No-slip BCs impose a drag at walls... |
| 395 |
|
|
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,del2v,hFacZ,vF,myThid) |
| 396 |
|
|
DO j=jMin,jMax |
| 397 |
|
|
DO i=iMin,iMax |
| 398 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
| 399 |
|
|
ENDDO |
| 400 |
|
|
ENDDO |
| 401 |
|
|
ENDIF |
| 402 |
|
|
C- No-slip BCs impose a drag at bottom |
| 403 |
|
|
IF (momViscosity.AND.bottomDragTerms) THEN |
| 404 |
|
|
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
| 405 |
|
|
DO j=jMin,jMax |
| 406 |
|
|
DO i=iMin,iMax |
| 407 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
| 408 |
|
|
ENDDO |
| 409 |
|
|
ENDDO |
| 410 |
|
|
ENDIF |
| 411 |
|
|
|
| 412 |
|
|
C-- Metric terms for curvilinear grid systems |
| 413 |
|
|
c IF (usingSphericalPolarMTerms) THEN |
| 414 |
|
|
C o Spherical polar grid metric terms |
| 415 |
|
|
c CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
| 416 |
|
|
c DO j=jMin,jMax |
| 417 |
|
|
c DO i=iMin,iMax |
| 418 |
|
|
c gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
| 419 |
|
|
c ENDDO |
| 420 |
|
|
c ENDDO |
| 421 |
|
|
c ENDIF |
| 422 |
|
|
|
| 423 |
jmc |
1.5 |
C-- Horizontal Coriolis terms |
| 424 |
adcroft |
1.20 |
IF (useCoriolis .AND. .NOT.useCDscheme |
| 425 |
|
|
& .AND. .NOT. useAbsVorticity) THEN |
| 426 |
|
|
CALL MOM_VI_CORIOLIS(bi,bj,k,uFld,vFld,hFacZ,r_hFacZ, |
| 427 |
jmc |
1.5 |
& uCf,vCf,myThid) |
| 428 |
|
|
DO j=jMin,jMax |
| 429 |
|
|
DO i=iMin,iMax |
| 430 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j) |
| 431 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j) |
| 432 |
|
|
ENDDO |
| 433 |
adcroft |
1.1 |
ENDDO |
| 434 |
jmc |
1.15 |
IF ( writeDiag ) THEN |
| 435 |
edhill |
1.24 |
IF (snapshot_mdsio) THEN |
| 436 |
|
|
CALL WRITE_LOCAL_RL('fV','I10',1,uCf,bi,bj,k,myIter,myThid) |
| 437 |
|
|
CALL WRITE_LOCAL_RL('fU','I10',1,vCf,bi,bj,k,myIter,myThid) |
| 438 |
|
|
ENDIF |
| 439 |
|
|
#ifdef ALLOW_MNC |
| 440 |
|
|
IF (useMNC .AND. snapshot_mnc) THEN |
| 441 |
edhill |
1.25 |
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj, 'fV', uCf, |
| 442 |
|
|
& offsets, myThid) |
| 443 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj, 'fU', vCf, |
| 444 |
|
|
& offsets, myThid) |
| 445 |
edhill |
1.24 |
ENDIF |
| 446 |
|
|
#endif /* ALLOW_MNC */ |
| 447 |
jmc |
1.15 |
ENDIF |
| 448 |
jmc |
1.5 |
ENDIF |
| 449 |
adcroft |
1.1 |
|
| 450 |
jmc |
1.5 |
IF (momAdvection) THEN |
| 451 |
|
|
C-- Horizontal advection of relative vorticity |
| 452 |
adcroft |
1.20 |
IF (useAbsVorticity) THEN |
| 453 |
|
|
CALL MOM_VI_U_CORIOLIS(bi,bj,K,vFld,omega3,hFacZ,r_hFacZ, |
| 454 |
|
|
& uCf,myThid) |
| 455 |
|
|
ELSE |
| 456 |
|
|
CALL MOM_VI_U_CORIOLIS(bi,bj,k,vFld,vort3,hFacZ,r_hFacZ, |
| 457 |
|
|
& uCf,myThid) |
| 458 |
|
|
ENDIF |
| 459 |
jmc |
1.5 |
c CALL MOM_VI_U_CORIOLIS_C4(bi,bj,K,vFld,vort3,r_hFacZ,uCf,myThid) |
| 460 |
|
|
DO j=jMin,jMax |
| 461 |
|
|
DO i=iMin,iMax |
| 462 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j) |
| 463 |
|
|
ENDDO |
| 464 |
adcroft |
1.1 |
ENDDO |
| 465 |
adcroft |
1.20 |
IF (useAbsVorticity) THEN |
| 466 |
|
|
CALL MOM_VI_V_CORIOLIS(bi,bj,K,uFld,omega3,hFacZ,r_hFacZ, |
| 467 |
|
|
& vCf,myThid) |
| 468 |
|
|
ELSE |
| 469 |
|
|
CALL MOM_VI_V_CORIOLIS(bi,bj,k,uFld,vort3,hFacZ,r_hFacZ, |
| 470 |
|
|
& vCf,myThid) |
| 471 |
|
|
ENDIF |
| 472 |
jmc |
1.5 |
c CALL MOM_VI_V_CORIOLIS_C4(bi,bj,K,uFld,vort3,r_hFacZ,vCf,myThid) |
| 473 |
|
|
DO j=jMin,jMax |
| 474 |
|
|
DO i=iMin,iMax |
| 475 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j) |
| 476 |
|
|
ENDDO |
| 477 |
adcroft |
1.1 |
ENDDO |
| 478 |
|
|
|
| 479 |
jmc |
1.15 |
IF ( writeDiag ) THEN |
| 480 |
edhill |
1.24 |
IF (snapshot_mdsio) THEN |
| 481 |
|
|
CALL WRITE_LOCAL_RL('zV','I10',1,uCf,bi,bj,k,myIter,myThid) |
| 482 |
|
|
CALL WRITE_LOCAL_RL('zU','I10',1,vCf,bi,bj,k,myIter,myThid) |
| 483 |
|
|
ENDIF |
| 484 |
|
|
#ifdef ALLOW_MNC |
| 485 |
|
|
IF (useMNC .AND. snapshot_mnc) THEN |
| 486 |
edhill |
1.25 |
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj, 'zV', uCf, |
| 487 |
|
|
& offsets, myThid) |
| 488 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj, 'zU', vCf, |
| 489 |
|
|
& offsets, myThid) |
| 490 |
edhill |
1.24 |
ENDIF |
| 491 |
|
|
#endif /* ALLOW_MNC */ |
| 492 |
jmc |
1.15 |
ENDIF |
| 493 |
edhill |
1.24 |
|
| 494 |
jmc |
1.7 |
#ifdef ALLOW_TIMEAVE |
| 495 |
dimitri |
1.13 |
#ifndef HRCUBE |
| 496 |
jmc |
1.7 |
IF (taveFreq.GT.0.) THEN |
| 497 |
|
|
CALL TIMEAVE_CUMUL_1K1T(uZetatave,vCf,deltaTClock, |
| 498 |
|
|
& Nr, k, bi, bj, myThid) |
| 499 |
|
|
CALL TIMEAVE_CUMUL_1K1T(vZetatave,uCf,deltaTClock, |
| 500 |
|
|
& Nr, k, bi, bj, myThid) |
| 501 |
|
|
ENDIF |
| 502 |
jmc |
1.22 |
#endif /* ndef HRCUBE */ |
| 503 |
dimitri |
1.13 |
#endif /* ALLOW_TIMEAVE */ |
| 504 |
jmc |
1.7 |
|
| 505 |
jmc |
1.5 |
C-- Vertical shear terms (-w*du/dr & -w*dv/dr) |
| 506 |
jmc |
1.12 |
IF ( .NOT. momImplVertAdv ) THEN |
| 507 |
|
|
CALL MOM_VI_U_VERTSHEAR(bi,bj,K,uVel,wVel,uCf,myThid) |
| 508 |
|
|
DO j=jMin,jMax |
| 509 |
|
|
DO i=iMin,iMax |
| 510 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j) |
| 511 |
|
|
ENDDO |
| 512 |
jmc |
1.5 |
ENDDO |
| 513 |
jmc |
1.12 |
CALL MOM_VI_V_VERTSHEAR(bi,bj,K,vVel,wVel,vCf,myThid) |
| 514 |
|
|
DO j=jMin,jMax |
| 515 |
|
|
DO i=iMin,iMax |
| 516 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j) |
| 517 |
|
|
ENDDO |
| 518 |
jmc |
1.5 |
ENDDO |
| 519 |
jmc |
1.12 |
ENDIF |
| 520 |
adcroft |
1.1 |
|
| 521 |
|
|
C-- Bernoulli term |
| 522 |
jmc |
1.5 |
CALL MOM_VI_U_GRAD_KE(bi,bj,K,KE,uCf,myThid) |
| 523 |
|
|
DO j=jMin,jMax |
| 524 |
|
|
DO i=iMin,iMax |
| 525 |
|
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+uCf(i,j) |
| 526 |
|
|
ENDDO |
| 527 |
|
|
ENDDO |
| 528 |
|
|
CALL MOM_VI_V_GRAD_KE(bi,bj,K,KE,vCf,myThid) |
| 529 |
|
|
DO j=jMin,jMax |
| 530 |
|
|
DO i=iMin,iMax |
| 531 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vCf(i,j) |
| 532 |
|
|
ENDDO |
| 533 |
adcroft |
1.1 |
ENDDO |
| 534 |
jmc |
1.15 |
IF ( writeDiag ) THEN |
| 535 |
edhill |
1.24 |
IF (snapshot_mdsio) THEN |
| 536 |
|
|
CALL WRITE_LOCAL_RL('KEx','I10',1,uCf,bi,bj,k,myIter,myThid) |
| 537 |
|
|
CALL WRITE_LOCAL_RL('KEy','I10',1,vCf,bi,bj,k,myIter,myThid) |
| 538 |
|
|
ENDIF |
| 539 |
|
|
#ifdef ALLOW_MNC |
| 540 |
|
|
IF (useMNC .AND. snapshot_mnc) THEN |
| 541 |
edhill |
1.25 |
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj, 'KEx', uCf, |
| 542 |
|
|
& offsets, myThid) |
| 543 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj, 'KEy', vCf, |
| 544 |
|
|
& offsets, myThid) |
| 545 |
|
|
ENDIF |
| 546 |
edhill |
1.24 |
#endif /* ALLOW_MNC */ |
| 547 |
jmc |
1.15 |
ENDIF |
| 548 |
|
|
|
| 549 |
jmc |
1.5 |
C-- end if momAdvection |
| 550 |
|
|
ENDIF |
| 551 |
|
|
|
| 552 |
|
|
C-- Set du/dt & dv/dt on boundaries to zero |
| 553 |
adcroft |
1.1 |
DO j=jMin,jMax |
| 554 |
|
|
DO i=iMin,iMax |
| 555 |
jmc |
1.5 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
| 556 |
|
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
| 557 |
adcroft |
1.1 |
ENDDO |
| 558 |
|
|
ENDDO |
| 559 |
jmc |
1.5 |
|
| 560 |
jmc |
1.22 |
#ifdef ALLOW_DEBUG |
| 561 |
|
|
IF ( debugLevel .GE. debLevB |
| 562 |
|
|
& .AND. k.EQ.4 .AND. myIter.EQ.nIter0 |
| 563 |
|
|
& .AND. nPx.EQ.1 .AND. nPy.EQ.1 |
| 564 |
|
|
& .AND. useCubedSphereExchange ) THEN |
| 565 |
jmc |
1.23 |
CALL DEBUG_CS_CORNER_UV( ' uDiss,vDiss from MOM_VECINV', |
| 566 |
|
|
& uDiss,vDiss, k, standardMessageUnit,bi,bj,myThid ) |
| 567 |
jmc |
1.22 |
ENDIF |
| 568 |
|
|
#endif /* ALLOW_DEBUG */ |
| 569 |
adcroft |
1.2 |
|
| 570 |
jmc |
1.15 |
IF ( writeDiag ) THEN |
| 571 |
edhill |
1.24 |
IF (snapshot_mdsio) THEN |
| 572 |
|
|
CALL WRITE_LOCAL_RL('Ds','I10',1,strain,bi,bj,k,myIter,myThid) |
| 573 |
|
|
CALL WRITE_LOCAL_RL('Dt','I10',1,tension,bi,bj,k,myIter, |
| 574 |
|
|
& myThid) |
| 575 |
|
|
CALL WRITE_LOCAL_RL('Du','I10',1,uDiss,bi,bj,k,myIter,myThid) |
| 576 |
|
|
CALL WRITE_LOCAL_RL('Dv','I10',1,vDiss,bi,bj,k,myIter,myThid) |
| 577 |
|
|
CALL WRITE_LOCAL_RL('Z3','I10',1,vort3,bi,bj,k,myIter,myThid) |
| 578 |
|
|
CALL WRITE_LOCAL_RL('W3','I10',1,omega3,bi,bj,k,myIter,myThid) |
| 579 |
|
|
CALL WRITE_LOCAL_RL('KE','I10',1,KE,bi,bj,k,myIter,myThid) |
| 580 |
|
|
CALL WRITE_LOCAL_RL('D','I10',1,hdiv,bi,bj,k,myIter,myThid) |
| 581 |
|
|
ENDIF |
| 582 |
|
|
#ifdef ALLOW_MNC |
| 583 |
|
|
IF (useMNC .AND. snapshot_mnc) THEN |
| 584 |
edhill |
1.25 |
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'Ds',strain, |
| 585 |
|
|
& offsets, myThid) |
| 586 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'Dt',tension, |
| 587 |
|
|
& offsets, myThid) |
| 588 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'Du',uDiss, |
| 589 |
|
|
& offsets, myThid) |
| 590 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'Dv',vDiss, |
| 591 |
|
|
& offsets, myThid) |
| 592 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'Z3',vort3, |
| 593 |
|
|
& offsets, myThid) |
| 594 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'W3',omega3, |
| 595 |
|
|
& offsets, myThid) |
| 596 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'KE',KE, |
| 597 |
|
|
& offsets, myThid) |
| 598 |
|
|
CALL MNC_CW_RL_W_OFFSET('D','mom_vi',bi,bj,'D', hdiv, |
| 599 |
|
|
& offsets, myThid) |
| 600 |
edhill |
1.24 |
ENDIF |
| 601 |
|
|
#endif /* ALLOW_MNC */ |
| 602 |
adcroft |
1.1 |
ENDIF |
| 603 |
edhill |
1.24 |
|
| 604 |
edhill |
1.11 |
#endif /* ALLOW_MOM_VECINV */ |
| 605 |
adcroft |
1.1 |
|
| 606 |
|
|
RETURN |
| 607 |
|
|
END |
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