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C $Header$ |
C $Header$ |
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C !DESCRIPTION: \bv |
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C $Name$ |
C $Name$ |
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#include "PACKAGES_CONFIG.h" |
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#include "CPP_OPTIONS.h" |
#include "CPP_OPTIONS.h" |
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#define CALC_GW_NEW_THICK |
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CBOP |
CBOP |
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C !ROUTINE: CALC_GW |
C !ROUTINE: CALC_GW |
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C !DESCRIPTION: \bv |
C !DESCRIPTION: \bv |
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C *==========================================================* |
C *==========================================================* |
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C | S/R CALC_GW |
C | S/R CALC_GW |
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C | o Calculate vert. velocity tendency terms ( NH, QH only ) |
C | o Calculate vertical velocity tendency terms |
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C | ( Non-Hydrostatic only ) |
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C *==========================================================* |
C *==========================================================* |
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C | In NH and QH, the vertical momentum tendency must be |
C | In NH, the vertical momentum tendency must be |
21 |
C | calculated explicitly and included as a source term |
C | calculated explicitly and included as a source term |
22 |
C | for a 3d pressure eqn. Calculate that term here. |
C | for a 3d pressure eqn. Calculate that term here. |
23 |
C | This routine is not used in HYD calculations. |
C | This routine is not used in HYD calculations. |
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#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
32 |
#include "PARAMS.h" |
#include "PARAMS.h" |
33 |
#include "GRID.h" |
#include "GRID.h" |
34 |
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#include "RESTART.h" |
35 |
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#include "SURFACE.h" |
36 |
#include "DYNVARS.h" |
#include "DYNVARS.h" |
37 |
#include "NH_VARS.h" |
#include "NH_VARS.h" |
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C !LOCAL VARIABLES: |
C !LOCAL VARIABLES: |
57 |
C == Local variables == |
C == Local variables == |
58 |
C iMin, iMax, |
C iMin,iMax |
59 |
C jMin, jMax |
C jMin,jMax |
60 |
C flx_NS :: Temp. used for fVol meridional terms. |
C xA :: W-Cell face area normal to X |
61 |
C flx_EW :: Temp. used for fVol zonal terms. |
C yA :: W-Cell face area normal to Y |
62 |
C flx_Up :: Temp. used for fVol vertical terms. |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
63 |
C flx_Dn :: Temp. used for fVol vertical terms. |
C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
64 |
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C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
65 |
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C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
66 |
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C flx_NS :: vertical momentum flux, meridional direction |
67 |
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C flx_EW :: vertical momentum flux, zonal direction |
68 |
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C flxAdvUp :: vertical mom. advective flux, vertical direction (@ level k-1) |
69 |
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C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
70 |
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C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
71 |
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C gwDiss :: vertical momentum dissipation tendency |
72 |
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C gwAdd :: other tendencies (Coriolis, Metric-terms) |
73 |
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C del2w :: laplacian of wVel |
74 |
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C wFld :: local copy of wVel |
75 |
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C i,j,k :: Loop counters |
76 |
INTEGER iMin,iMax,jMin,jMax |
INTEGER iMin,iMax,jMin,jMax |
77 |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
78 |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
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_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
80 |
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_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
81 |
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_RL rThickC_C (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
82 |
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_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
85 |
_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
86 |
_RL flx_Up(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL flxAdvUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
87 |
_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL flxDisUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
88 |
_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
89 |
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_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
90 |
_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
91 |
C i,j,k - Loop counters |
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
92 |
INTEGER i,j,k, kp1 |
INTEGER i,j,k, km1, kp1 |
93 |
_RL wOverride |
_RL mskM1, mskP1 |
94 |
_RS hFacWtmp |
_RL tmp_WbarZ |
95 |
_RS hFacStmp |
_RL uTrans, vTrans, rTrans |
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_RS hFacCtmp |
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_RS recip_hFacCtmp |
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_RL slipSideFac |
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_RL tmp_VbarZ, tmp_UbarZ, tmp_WbarZ |
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96 |
_RL viscLoc |
_RL viscLoc |
97 |
_RL Half |
_RL halfRL |
98 |
PARAMETER(Half=0.5D0) |
_RS halfRS, zeroRS |
99 |
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PARAMETER( halfRL = 0.5 _d 0 ) |
100 |
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PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
101 |
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PARAMETER( iMin = 1 , iMax = sNx ) |
102 |
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PARAMETER( jMin = 1 , jMax = sNy ) |
103 |
CEOP |
CEOP |
104 |
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#ifdef ALLOW_DIAGNOSTICS |
105 |
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LOGICAL diagDiss, diagAdvec |
106 |
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LOGICAL DIAGNOSTICS_IS_ON |
107 |
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EXTERNAL DIAGNOSTICS_IS_ON |
108 |
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#endif /* ALLOW_DIAGNOSTICS */ |
109 |
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110 |
C Catch barotropic mode |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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IF ( Nr .LT. 2 ) RETURN |
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111 |
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112 |
iMin = 1 |
#ifdef ALLOW_DIAGNOSTICS |
113 |
iMax = sNx |
IF ( useDiagnostics ) THEN |
114 |
jMin = 1 |
diagDiss = DIAGNOSTICS_IS_ON( 'Wm_Diss ', myThid ) |
115 |
jMax = sNy |
diagAdvec = DIAGNOSTICS_IS_ON( 'Wm_Advec', myThid ) |
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C Lateral friction (no-slip, free slip, or half slip): |
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IF ( no_slip_sides ) THEN |
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slipSideFac = -1. _d 0 |
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116 |
ELSE |
ELSE |
117 |
slipSideFac = 1. _d 0 |
diagDiss = .FALSE. |
118 |
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diagAdvec = .FALSE. |
119 |
ENDIF |
ENDIF |
120 |
CML half slip was used before ; keep the line for now, but half slip is |
#endif /* ALLOW_DIAGNOSTICS */ |
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CML not used anywhere in the code as far as I can see. |
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C slipSideFac = 0. _d 0 |
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C- need to fix the side-drag implementation; for now, always impose free-slip |
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slipSideFac = 1. _d 0 |
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122 |
C-- Initialise gW to zero |
C-- Initialise gW to zero |
123 |
DO k=1,Nr |
DO k=1,Nr |
127 |
ENDDO |
ENDDO |
128 |
ENDDO |
ENDDO |
129 |
ENDDO |
ENDDO |
130 |
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C- Initialise gwDiss to zero |
131 |
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DO j=1-OLy,sNy+OLy |
132 |
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DO i=1-OLx,sNx+OLx |
133 |
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gwDiss(i,j) = 0. |
134 |
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ENDDO |
135 |
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ENDDO |
136 |
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IF (momViscosity) THEN |
137 |
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C- Initialize del2w to zero: |
138 |
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DO j=1-Oly,sNy+Oly |
139 |
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DO i=1-Olx,sNx+Olx |
140 |
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del2w(i,j) = 0. _d 0 |
141 |
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ENDDO |
142 |
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ENDDO |
143 |
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ENDIF |
144 |
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145 |
C-- Boundaries condition at top |
C-- Boundaries condition at top (vertical advection of vertical momentum): |
146 |
DO j=jMin,jMax |
DO j=1-OLy,sNy+OLy |
147 |
DO i=iMin,iMax |
DO i=1-OLx,sNx+OLx |
148 |
flx_Up(i,j)=0. |
flxAdvUp(i,j) = 0. |
149 |
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c flxDisUp(i,j) = 0. |
150 |
ENDDO |
ENDDO |
151 |
ENDDO |
ENDDO |
152 |
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153 |
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154 |
C--- Sweep down column |
C--- Sweep down column |
155 |
DO k=2,Nr |
DO k=1,Nr |
156 |
kp1=k+1 |
km1 = MAX( k-1, 1 ) |
157 |
wOverRide=1. |
kp1 = MIN( k+1,Nr ) |
158 |
IF (k.EQ.Nr) THEN |
mskM1 = 1. |
159 |
kp1=Nr |
mskP1 = 1. |
160 |
wOverRide=0. |
IF ( k.EQ. 1 ) mskM1 = 0. |
161 |
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IF ( k.EQ.Nr ) mskP1 = 0. |
162 |
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IF ( k.GT.1 ) THEN |
163 |
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C-- Compute grid factor arround a W-point: |
164 |
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#ifdef CALC_GW_NEW_THICK |
165 |
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DO j=1-Oly,sNy+Oly |
166 |
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DO i=1-Olx,sNx+Olx |
167 |
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IF ( maskC(i,j,k-1,bi,bj).EQ.0. .OR. |
168 |
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& maskC(i,j, k ,bi,bj).EQ.0. ) THEN |
169 |
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recip_rThickC(i,j) = 0. |
170 |
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ELSE |
171 |
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C- valid in z & p coord.; also accurate if Interface @ middle between 2 centers |
172 |
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recip_rThickC(i,j) = 1. _d 0 / |
173 |
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& ( MIN( Ro_surf(i,j,bi,bj),rC(k-1) ) |
174 |
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& - MAX( R_low(i,j,bi,bj), rC(k) ) |
175 |
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& ) |
176 |
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ENDIF |
177 |
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ENDDO |
178 |
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ENDDO |
179 |
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IF (momViscosity) THEN |
180 |
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DO j=1-Oly,sNy+Oly |
181 |
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DO i=1-Olx,sNx+Olx |
182 |
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rThickC_C(i,j) = MAX( zeroRS, |
183 |
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& MIN( Ro_surf(i,j,bi,bj), rC(k-1) ) |
184 |
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& -MAX( R_low(i,j,bi,bj), rC(k) ) |
185 |
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& ) |
186 |
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ENDDO |
187 |
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ENDDO |
188 |
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DO j=1-Oly,sNy+Oly |
189 |
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DO i=1-Olx+1,sNx+Olx |
190 |
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rThickC_W(i,j) = MAX( zeroRS, |
191 |
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& MIN( rSurfW(i,j,bi,bj), rC(k-1) ) |
192 |
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& -MAX( rLowW(i,j,bi,bj), rC(k) ) |
193 |
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& ) |
194 |
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C W-Cell Western face area: |
195 |
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xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
196 |
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c & *deepFacF(k) |
197 |
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ENDDO |
198 |
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ENDDO |
199 |
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DO j=1-Oly+1,sNy+Oly |
200 |
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DO i=1-Olx,sNx+Olx |
201 |
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rThickC_S(i,j) = MAX( zeroRS, |
202 |
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& MIN( rSurfS(i,j,bi,bj), rC(k-1) ) |
203 |
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& -MAX( rLowS(i,j,bi,bj), rC(k) ) |
204 |
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& ) |
205 |
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C W-Cell Southern face area: |
206 |
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yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
207 |
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c & *deepFacF(k) |
208 |
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
209 |
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
210 |
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ENDDO |
211 |
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ENDDO |
212 |
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ENDIF |
213 |
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#else /* CALC_GW_NEW_THICK */ |
214 |
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DO j=1-Oly,sNy+Oly |
215 |
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DO i=1-Olx,sNx+Olx |
216 |
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C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
217 |
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IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
218 |
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recip_rThickC(i,j) = 0. |
219 |
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ELSE |
220 |
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recip_rThickC(i,j) = 1. _d 0 / |
221 |
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& ( drF(k-1)*halfRS |
222 |
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& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
223 |
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& ) |
224 |
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ENDIF |
225 |
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c IF (momViscosity) THEN |
226 |
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#ifdef NONLIN_FRSURF |
227 |
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rThickC_C(i,j) = |
228 |
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& drF(k-1)*MAX( h0FacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
229 |
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& + drF( k )*MIN( h0FacC(i,j,k ,bi,bj), halfRS ) |
230 |
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#else |
231 |
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rThickC_C(i,j) = |
232 |
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& drF(k-1)*MAX( _hFacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
233 |
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& + drF( k )*MIN( _hFacC(i,j,k ,bi,bj), halfRS ) |
234 |
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#endif |
235 |
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rThickC_W(i,j) = |
236 |
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& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
237 |
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& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
238 |
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rThickC_S(i,j) = |
239 |
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& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
240 |
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& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
241 |
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C W-Cell Western face area: |
242 |
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xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
243 |
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c & *deepFacF(k) |
244 |
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C W-Cell Southern face area: |
245 |
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yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
246 |
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c & *deepFacF(k) |
247 |
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C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
248 |
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C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
249 |
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c ENDIF |
250 |
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ENDDO |
251 |
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ENDDO |
252 |
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#endif /* CALC_GW_NEW_THICK */ |
253 |
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ELSEIF ( selectNHfreeSurf.GE.1 ) THEN |
254 |
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DO j=1-Oly,sNy+Oly |
255 |
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DO i=1-Olx,sNx+Olx |
256 |
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recip_rThickC(i,j) = recip_drC(k) |
257 |
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c rThickC_C(i,j) = drC(k) |
258 |
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c rThickC_W(i,j) = drC(k) |
259 |
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c rThickC_S(i,j) = drC(k) |
260 |
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c xA(i,j) = _dyG(i,j,bi,bj)*drC(k) |
261 |
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c yA(i,j) = _dxG(i,j,bi,bj)*drC(k) |
262 |
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ENDDO |
263 |
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ENDDO |
264 |
ENDIF |
ENDIF |
265 |
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266 |
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C-- local copy of wVel: |
267 |
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DO j=1-Oly,sNy+Oly |
268 |
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DO i=1-Olx,sNx+Olx |
269 |
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wFld(i,j) = wVel(i,j,k,bi,bj) |
270 |
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ENDDO |
271 |
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ENDDO |
272 |
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273 |
C-- horizontal bi-harmonic dissipation |
C-- horizontal bi-harmonic dissipation |
274 |
IF (momViscosity .AND. viscA4W.NE.0. ) THEN |
IF ( momViscosity .AND. k.GT.1 .AND. viscA4W.NE.0. ) THEN |
275 |
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276 |
C- calculate the horizontal Laplacian of vertical flow |
C- calculate the horizontal Laplacian of vertical flow |
277 |
C Zonal flux d/dx W |
C Zonal flux d/dx W |
278 |
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IF ( useCubedSphereExchange ) THEN |
279 |
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C to compute d/dx(W), fill corners with appropriate values: |
280 |
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CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
281 |
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& wFld, bi,bj, myThid ) |
282 |
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ENDIF |
283 |
DO j=1-Oly,sNy+Oly |
DO j=1-Oly,sNy+Oly |
284 |
fZon(1-Olx,j)=0. |
flx_EW(1-Olx,j)=0. |
285 |
DO i=1-Olx+1,sNx+Olx |
DO i=1-Olx+1,sNx+Olx |
286 |
C- Problem here: drF(k)*_hFacC & fZon are not at the same Horiz.&Vert. location |
flx_EW(i,j) = |
287 |
fZon(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
& ( wFld(i,j) - wFld(i-1,j) ) |
288 |
& *_dyG(i,j,bi,bj) |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
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& *_recip_dxC(i,j,bi,bj) |
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& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
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289 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
290 |
& *sqcosFacU(j,bi,bj) |
& *sqCosFacU(j,bi,bj) |
291 |
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#endif |
292 |
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#ifdef ALLOW_OBCS |
293 |
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& *maskInW(i,j,bi,bj) |
294 |
#endif |
#endif |
295 |
ENDDO |
ENDDO |
296 |
ENDDO |
ENDDO |
297 |
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298 |
C Meridional flux d/dy W |
C Meridional flux d/dy W |
299 |
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IF ( useCubedSphereExchange ) THEN |
300 |
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C to compute d/dy(W), fill corners with appropriate values: |
301 |
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CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
302 |
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& wFld, bi,bj, myThid ) |
303 |
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ENDIF |
304 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
305 |
fMer(i,1-Oly)=0. |
flx_NS(i,1-Oly)=0. |
306 |
ENDDO |
ENDDO |
307 |
DO j=1-Oly+1,sNy+Oly |
DO j=1-Oly+1,sNy+Oly |
308 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
309 |
C- Problem here: drF(k)*_hFacC & fMer are not at the same Horiz.&Vert. location |
flx_NS(i,j) = |
310 |
fMer(i,j) = drF(k)*_hFacC(i,j,k,bi,bj) |
& ( wFld(i,j) - wFld(i,j-1) ) |
311 |
& *_dxG(i,j,bi,bj) |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
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& *_recip_dyC(i,j,bi,bj) |
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& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
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312 |
#ifdef ISOTROPIC_COS_SCALING |
#ifdef ISOTROPIC_COS_SCALING |
313 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
314 |
& *sqCosFacV(j,bi,bj) |
& *sqCosFacV(j,bi,bj) |
315 |
#endif |
#endif |
316 |
#endif |
#endif |
317 |
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#ifdef ALLOW_OBCS |
318 |
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& *maskInS(i,j,bi,bj) |
319 |
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#endif |
320 |
ENDDO |
ENDDO |
321 |
ENDDO |
ENDDO |
322 |
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323 |
C del^2 W |
C del^2 W |
324 |
C Difference of zonal fluxes ... |
C Divergence of horizontal fluxes |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx-1 |
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del2w(i,j)=fZon(i+1,j)-fZon(i,j) |
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ENDDO |
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del2w(sNx+Olx,j)=0. |
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ENDDO |
|
|
|
|
|
C ... add difference of meridional fluxes and divide by volume |
|
325 |
DO j=1-Oly,sNy+Oly-1 |
DO j=1-Oly,sNy+Oly-1 |
326 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx-1 |
327 |
C First compute the fraction of open water for the w-control volume |
del2w(i,j) = ( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
328 |
C at the southern face |
& +( flx_NS(i,j+1)-flx_NS(i,j) ) |
329 |
hFacCtmp=max( _hFacC(i,j,k-1,bi,bj)-Half,0. _d 0 ) |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
330 |
& + min( _hFacC(i,j,k ,bi,bj) ,Half ) |
& *recip_deepFac2F(k) |
|
IF (hFacCtmp .GT. 0.) THEN |
|
|
recip_hFacCtmp = 1./hFacCtmp |
|
|
ELSE |
|
|
recip_hFacCtmp = 0. _d 0 |
|
|
ENDIF |
|
|
del2w(i,j)=recip_rA(i,j,bi,bj) |
|
|
& *recip_drC(k)*recip_hFacCtmp |
|
|
& *( |
|
|
& del2w(i,j) |
|
|
& +( fMer(i,j+1)-fMer(i,j) ) |
|
|
& ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
C-- No-slip BCs impose a drag at walls... |
|
|
CML ************************************************************ |
|
|
CML No-slip Boundary conditions for bi-harmonic dissipation |
|
|
CML need to be implemented here! |
|
|
CML ************************************************************ |
|
|
ELSE |
|
|
C- Initialize del2w to zero: |
|
|
DO j=1-Oly,sNy+Oly |
|
|
DO i=1-Olx,sNx+Olx |
|
|
del2w(i,j) = 0. _d 0 |
|
331 |
ENDDO |
ENDDO |
332 |
ENDDO |
ENDDO |
333 |
|
C end if biharmonic viscosity |
334 |
ENDIF |
ENDIF |
335 |
|
|
336 |
C Flux on Southern face |
IF ( momViscosity .AND. k.GT.1 ) THEN |
337 |
DO j=jMin,jMax+1 |
C Viscous Flux on Western face |
338 |
DO i=iMin,iMax |
DO j=jMin,jMax |
339 |
C First compute the fraction of open water for the w-control volume |
DO i=iMin,iMax+1 |
340 |
C at the southern face |
flx_EW(i,j)= |
341 |
hFacStmp=max(_hFacS(i,j,k-1,bi,bj)-Half,0. _d 0) |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
342 |
& + min(_hFacS(i,j,k ,bi,bj),Half) |
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
343 |
tmp_VbarZ=Half*( |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
344 |
& _hFacS(i,j,k-1,bi,bj)*vVel( i ,j,k-1,bi,bj) |
& *cosFacU(j,bi,bj) |
345 |
& +_hFacS(i,j, k ,bi,bj)*vVel( i ,j, k ,bi,bj)) |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
346 |
flx_NS(i,j)= |
& *(del2w(i,j)-del2w(i-1,j)) |
347 |
& tmp_VbarZ*Half*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj)) |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
|
& -(viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*Half |
|
|
& *_recip_dyC(i,j,bi,bj) |
|
|
& *(hFacStmp*(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
|
|
C- Problem here: No-slip bc CANNOT be written in term of a flux |
|
|
& +(1. _d 0 - hFacStmp)*(1. _d 0 - slipSideFac) |
|
|
& *wVel(i,j,k,bi,bj)) |
|
|
& +(viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*Half |
|
|
& *_recip_dyC(i,j,bi,bj)*(del2w(i,j)-del2w(i,j-1)) |
|
|
#ifdef ISOTROPIC_COS_SCALING |
|
348 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
349 |
& *sqCosFacV(j,bi,bj) |
& *sqCosFacU(j,bi,bj) |
350 |
#else |
#else |
351 |
& *CosFacV(j,bi,bj) |
& *cosFacU(j,bi,bj) |
352 |
#endif |
#endif |
353 |
|
ENDDO |
354 |
|
ENDDO |
355 |
|
C Viscous Flux on Southern face |
356 |
|
DO j=jMin,jMax+1 |
357 |
|
DO i=iMin,iMax |
358 |
|
flx_NS(i,j)= |
359 |
|
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
360 |
|
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
361 |
|
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
362 |
|
#ifdef ISOTROPIC_COS_SCALING |
363 |
|
& *cosFacV(j,bi,bj) |
364 |
#endif |
#endif |
365 |
C The last term is the weighted average of the viscous stress at the open |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
366 |
C fraction of the w control volume and at the closed fraction of the |
& *(del2w(i,j)-del2w(i,j-1)) |
367 |
C the control volume. A more compact but less intelligible version |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
368 |
C of the last three lines is: |
#ifdef ISOTROPIC_COS_SCALING |
|
CML & *( (1 _d 0 - slipSideFac*(1 _d 0 - hFacStmp)) |
|
|
CML & *wVel(i,j,k,bi,bi) + hFacStmp*wVel(i,j-1,k,bi,bj) ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
C Flux on Western face |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax+1 |
|
|
C First compute the fraction of open water for the w-control volume |
|
|
C at the western face |
|
|
hFacWtmp=max(_hFacW(i,j,k-1,bi,bj)-Half,0. _d 0) |
|
|
& + min(_hFacW(i,j,k ,bi,bj),Half) |
|
|
tmp_UbarZ=Half*( |
|
|
& _hFacW(i,j,k-1,bi,bj)*uVel( i ,j,k-1,bi,bj) |
|
|
& +_hFacW(i,j, k ,bi,bj)*uVel( i ,j, k ,bi,bj)) |
|
|
flx_EW(i,j)= |
|
|
& tmp_UbarZ*Half*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj)) |
|
|
& -(viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*Half |
|
|
& *_recip_dxC(i,j,bi,bj) |
|
|
& *(hFacWtmp*(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
|
|
C- Problem here: No-slip bc CANNOT be written in term of a flux |
|
|
& +(1 _d 0 - hFacWtmp)*(1 _d 0 - slipSideFac) |
|
|
& *wVel(i,j,k,bi,bj) ) |
|
|
& +(viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*Half |
|
|
& *_recip_dxC(i,j,bi,bj)*(del2w(i,j)-del2w(i-1,j)) |
|
369 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
370 |
& *sqCosFacU(j,bi,bj) |
& *sqCosFacV(j,bi,bj) |
371 |
#else |
#else |
372 |
& *CosFacU(j,bi,bj) |
& *cosFacV(j,bi,bj) |
373 |
#endif |
#endif |
374 |
C The last term is the weighted average of the viscous stress at the open |
#endif |
375 |
C fraction of the w control volume and at the closed fraction of the |
ENDDO |
376 |
C the control volume. A more compact but less intelligible version |
ENDDO |
377 |
C of the last three lines is: |
C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
378 |
CML & *( (1 _d 0 - slipSideFac*(1 _d 0 - hFacWtmp)) |
DO j=jMin,jMax |
379 |
CML & *wVel(i,j,k,bi,bi) + hFacWtmp*wVel(i-1,j,k,bi,bj) ) |
DO i=iMin,iMax |
380 |
ENDDO |
C Interpolate vert viscosity to center of tracer-cell (level k): |
381 |
ENDDO |
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
382 |
C Flux on Lower face |
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
383 |
DO j=jMin,jMax |
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
384 |
DO i=iMin,iMax |
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
385 |
C Interpolate vert viscosity to W points |
& )*0.125 _d 0 |
386 |
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
flx_Dn(i,j) = |
387 |
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
& - viscLoc*( wVel(i,j,kp1,bi,bj)*mskP1 |
388 |
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
& -wVel(i,j, k ,bi,bj) )*rkSign |
389 |
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
& *recip_drF(k)*rA(i,j,bi,bj) |
390 |
& )*0.125 _d 0 |
& *deepFac2C(k)*rhoFacC(k) |
391 |
tmp_WbarZ = Half*( wVel(i,j, k ,bi,bj) |
ENDDO |
392 |
& +wVel(i,j,kp1,bi,bj)*wOverRide ) |
ENDDO |
393 |
flx_Dn(i,j)= |
IF ( k.EQ.2 ) THEN |
394 |
& tmp_WbarZ*tmp_WbarZ |
C Viscous Flux on Upper face of W-Cell (= at tracer-cell center, level k-1) |
395 |
& -viscLoc*recip_drF(k) |
DO j=jMin,jMax |
396 |
& *( wVel(i,j, k ,bi,bj) |
DO i=iMin,iMax |
397 |
& -wVel(i,j,kp1,bi,bj)*wOverRide ) |
C Interpolate horizontally (but not vertically) vert viscosity to center: |
398 |
ENDDO |
C Although background visc. might be defined at k=1, this is not |
399 |
ENDDO |
C generally true when using variable visc. (from vertical mixing scheme). |
400 |
C Divergence of fluxes |
C Therefore, no vert. interp. and only horizontal interpolation. |
401 |
DO j=jMin,jMax |
viscLoc = ( KappaRU(i,j,k) + KappaRU(i+1,j,k) |
402 |
DO i=iMin,iMax |
& +KappaRV(i,j,k) + KappaRV(i,j+1,k) |
403 |
gW(i,j,k,bi,bj) = 0. |
& )*0.25 _d 0 |
404 |
& -( |
flxDisUp(i,j) = |
405 |
& +_recip_dxF(i,j,bi,bj)*( |
& - viscLoc*( wVel(i,j, k ,bi,bj) |
406 |
& flx_EW(i+1,j)-flx_EW(i,j) ) |
& -wVel(i,j,k-1,bi,bj) )*rkSign |
407 |
& +_recip_dyF(i,j,bi,bj)*( |
& *recip_drF(k-1)*rA(i,j,bi,bj) |
408 |
& flx_NS(i,j+1)-flx_NS(i,j) ) |
& *deepFac2C(k-1)*rhoFacC(k-1) |
409 |
& +recip_drC(k) *( |
C to recover old (before 2009/11/30) results (since flxDisUp(k=2) was zero) |
410 |
& flx_Up(i,j) -flx_Dn(i,j) ) |
c flxDisUp(i,j) = 0. |
411 |
& ) |
ENDDO |
412 |
caja * recip_hFacU(i,j,k,bi,bj) |
ENDDO |
413 |
caja NOTE: This should be included |
ENDIF |
414 |
caja but we need an hFacUW (above U points) |
C Tendency is minus divergence of viscous fluxes: |
415 |
caja and an hFacUS (above V points) too... |
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
416 |
|
DO j=jMin,jMax |
417 |
|
DO i=iMin,iMax |
418 |
|
gwDiss(i,j) = |
419 |
|
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
420 |
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
421 |
|
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
422 |
|
& *recip_rhoFacF(k) |
423 |
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
424 |
|
& *recip_deepFac2F(k) |
425 |
C-- prepare for next level (k+1) |
C-- prepare for next level (k+1) |
426 |
flx_Up(i,j)=flx_Dn(i,j) |
flxDisUp(i,j)=flx_Dn(i,j) |
427 |
|
ENDDO |
428 |
|
ENDDO |
429 |
|
ENDIF |
430 |
|
|
431 |
|
IF ( momViscosity .AND. k.GT.1 .AND. no_slip_sides ) THEN |
432 |
|
C- No-slip BCs impose a drag at walls... |
433 |
|
CALL MOM_W_SIDEDRAG( |
434 |
|
I bi,bj,k, |
435 |
|
I wVel, del2w, |
436 |
|
I rThickC_C, recip_rThickC, |
437 |
|
I viscAh_W, viscA4_W, |
438 |
|
O gwAdd, |
439 |
|
I myThid ) |
440 |
|
DO j=jMin,jMax |
441 |
|
DO i=iMin,iMax |
442 |
|
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
443 |
|
ENDDO |
444 |
|
ENDDO |
445 |
|
ENDIF |
446 |
|
|
447 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
448 |
|
|
449 |
|
IF ( momAdvection ) THEN |
450 |
|
|
451 |
|
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
452 |
|
C Advective Flux on Western face |
453 |
|
DO j=jMin,jMax |
454 |
|
DO i=iMin,iMax+1 |
455 |
|
C transport through Western face area: |
456 |
|
uTrans = ( |
457 |
|
& drF(km1)*_hFacW(i,j,km1,bi,bj)*uVel(i,j,km1,bi,bj) |
458 |
|
& *rhoFacC(km1)*mskM1 |
459 |
|
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
460 |
|
& *rhoFacC(k) |
461 |
|
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
462 |
|
flx_EW(i,j) = uTrans*(wFld(i,j)+wFld(i-1,j))*halfRL |
463 |
|
c flx_EW(i,j)= |
464 |
|
c & uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
465 |
|
ENDDO |
466 |
|
ENDDO |
467 |
|
C Advective Flux on Southern face |
468 |
|
DO j=jMin,jMax+1 |
469 |
|
DO i=iMin,iMax |
470 |
|
C transport through Southern face area: |
471 |
|
vTrans = ( |
472 |
|
& drF(km1)*_hFacS(i,j,km1,bi,bj)*vVel(i,j,km1,bi,bj) |
473 |
|
& *rhoFacC(km1)*mskM1 |
474 |
|
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
475 |
|
& *rhoFacC(k) |
476 |
|
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
477 |
|
flx_NS(i,j) = vTrans*(wFld(i,j)+wFld(i,j-1))*halfRL |
478 |
|
c flx_NS(i,j)= |
479 |
|
c & vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
480 |
|
ENDDO |
481 |
|
ENDDO |
482 |
|
ENDIF |
483 |
|
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
484 |
|
c IF (.TRUE.) THEN |
485 |
|
DO j=jMin,jMax |
486 |
|
DO i=iMin,iMax |
487 |
|
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
488 |
|
tmp_WbarZ = halfRL* |
489 |
|
& ( wVel(i,j, k ,bi,bj)*rVel2wUnit( k ) |
490 |
|
& +wVel(i,j,kp1,bi,bj)*rVel2wUnit(kp1)*mskP1 ) |
491 |
|
C transport through Lower face area: |
492 |
|
rTrans = halfRL* |
493 |
|
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
494 |
|
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
495 |
|
& *mskP1 |
496 |
|
& )*rA(i,j,bi,bj) |
497 |
|
flx_Dn(i,j) = rTrans*tmp_WbarZ |
498 |
|
ENDDO |
499 |
|
ENDDO |
500 |
|
c ENDIF |
501 |
|
IF ( k.EQ.1 .AND. selectNHfreeSurf.GE.1 ) THEN |
502 |
|
C Advective Flux on Upper face of W-Cell (= at surface) |
503 |
|
DO j=jMin,jMax |
504 |
|
DO i=iMin,iMax |
505 |
|
tmp_WbarZ = wVel(i,j,k,bi,bj)*rVel2wUnit(k) |
506 |
|
rTrans = wVel(i,j,k,bi,bj)*deepFac2F(k)*rhoFacF(k) |
507 |
|
& *rA(i,j,bi,bj) |
508 |
|
flxAdvUp(i,j) = rTrans*tmp_WbarZ |
509 |
|
c flxAdvUp(i,j) = 0. |
510 |
|
ENDDO |
511 |
|
ENDDO |
512 |
|
ENDIF |
513 |
|
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
514 |
|
C Tendency is minus divergence of advective fluxes: |
515 |
|
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
516 |
|
DO j=jMin,jMax |
517 |
|
DO i=iMin,iMax |
518 |
|
C to recover old (before 2009/11/30) results (since flxAdvUp(k=2) was zero) |
519 |
|
c IF (k.EQ.2) flxAdvUp(i,j) = 0. |
520 |
|
gW(i,j,k,bi,bj) = |
521 |
|
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
522 |
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
523 |
|
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
524 |
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
525 |
|
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
526 |
|
ENDDO |
527 |
|
ENDDO |
528 |
|
ENDIF |
529 |
|
|
530 |
|
DO j=jMin,jMax |
531 |
|
DO i=iMin,iMax |
532 |
|
C-- prepare for next level (k+1) |
533 |
|
flxAdvUp(i,j)=flx_Dn(i,j) |
534 |
|
ENDDO |
535 |
ENDDO |
ENDDO |
536 |
ENDDO |
|
537 |
|
c ELSE |
538 |
|
C- if momAdvection / else |
539 |
|
c DO j=1-OLy,sNy+OLy |
540 |
|
c DO i=1-OLx,sNx+OLx |
541 |
|
c gW(i,j,k,bi,bj) = 0. _d 0 |
542 |
|
c ENDDO |
543 |
|
c ENDDO |
544 |
|
|
545 |
|
C- endif momAdvection. |
546 |
|
ENDIF |
547 |
|
|
548 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
549 |
|
|
550 |
|
IF ( useNHMTerms .AND. k.GT.1 ) THEN |
551 |
|
CALL MOM_W_METRIC_NH( |
552 |
|
I bi,bj,k, |
553 |
|
I uVel, vVel, |
554 |
|
O gwAdd, |
555 |
|
I myThid ) |
556 |
|
DO j=jMin,jMax |
557 |
|
DO i=iMin,iMax |
558 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
559 |
|
ENDDO |
560 |
|
ENDDO |
561 |
|
ENDIF |
562 |
|
IF ( use3dCoriolis .AND. k.GT.1 ) THEN |
563 |
|
CALL MOM_W_CORIOLIS_NH( |
564 |
|
I bi,bj,k, |
565 |
|
I uVel, vVel, |
566 |
|
O gwAdd, |
567 |
|
I myThid ) |
568 |
|
DO j=jMin,jMax |
569 |
|
DO i=iMin,iMax |
570 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
571 |
|
ENDDO |
572 |
|
ENDDO |
573 |
|
ENDIF |
574 |
|
|
575 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
576 |
|
|
577 |
|
#ifdef ALLOW_DIAGNOSTICS |
578 |
|
IF ( diagDiss ) THEN |
579 |
|
CALL DIAGNOSTICS_FILL( gwDiss, 'Wm_Diss ', |
580 |
|
& k, 1, 2, bi,bj, myThid ) |
581 |
|
C- note: needs to explicitly increment the counter since DIAGNOSTICS_FILL |
582 |
|
C does it only if k=1 (never the case here) |
583 |
|
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Diss ',bi,bj,myThid) |
584 |
|
ENDIF |
585 |
|
IF ( diagAdvec ) THEN |
586 |
|
CALL DIAGNOSTICS_FILL( gW, 'Wm_Advec', |
587 |
|
& k,Nr, 1, bi,bj, myThid ) |
588 |
|
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Advec',bi,bj,myThid) |
589 |
|
ENDIF |
590 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
591 |
|
|
592 |
|
C-- Dissipation term inside the Adams-Bashforth: |
593 |
|
IF ( momViscosity .AND. momDissip_In_AB) THEN |
594 |
|
DO j=jMin,jMax |
595 |
|
DO i=iMin,iMax |
596 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
597 |
|
ENDDO |
598 |
|
ENDDO |
599 |
|
ENDIF |
600 |
|
|
601 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
602 |
C and save gW_[n] into gwNm1 for the next time step. |
C and save gW_[n] into gwNm1 for the next time step. |
603 |
c#ifdef ALLOW_ADAMSBASHFORTH_3 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
604 |
c CALL ADAMS_BASHFORTH3( |
CALL ADAMS_BASHFORTH3( |
605 |
c I bi, bj, k, |
I bi, bj, k, |
606 |
c U gW, gwNm, |
U gW, gwNm, |
607 |
c I momStartAB, myIter, myThid ) |
I nHydStartAB, myIter, myThid ) |
608 |
c#else /* ALLOW_ADAMSBASHFORTH_3 */ |
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
609 |
CALL ADAMS_BASHFORTH2( |
CALL ADAMS_BASHFORTH2( |
610 |
I bi, bj, k, |
I bi, bj, k, |
611 |
U gW, gwNm1, |
U gW, gwNm1, |
612 |
I myIter, myThid ) |
I nHydStartAB, myIter, myThid ) |
613 |
c#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
614 |
|
|
615 |
|
C-- Dissipation term outside the Adams-Bashforth: |
616 |
|
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
617 |
|
DO j=jMin,jMax |
618 |
|
DO i=iMin,iMax |
619 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
620 |
|
ENDDO |
621 |
|
ENDDO |
622 |
|
ENDIF |
623 |
|
|
624 |
C- end of the k loop |
C- end of the k loop |
625 |
ENDDO |
ENDDO |
626 |
|
|
627 |
|
#ifdef ALLOW_DIAGNOSTICS |
628 |
|
IF (useDiagnostics) THEN |
629 |
|
CALL DIAGNOSTICS_FILL(viscAh_W,'VISCAHW ',0,Nr,1,bi,bj,myThid) |
630 |
|
CALL DIAGNOSTICS_FILL(viscA4_W,'VISCA4W ',0,Nr,1,bi,bj,myThid) |
631 |
|
ENDIF |
632 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
633 |
|
|
634 |
#endif /* ALLOW_NONHYDROSTATIC */ |
#endif /* ALLOW_NONHYDROSTATIC */ |
635 |
|
|
636 |
RETURN |
RETURN |