1 |
C $Header$ |
C $Header$ |
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C !DESCRIPTION: \bv |
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2 |
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 |
31 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
32 |
#include "PARAMS.h" |
#include "PARAMS.h" |
33 |
#include "GRID.h" |
#include "GRID.h" |
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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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61 |
C yA :: W-Cell face area normal to Y |
C yA :: W-Cell face area normal to Y |
62 |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
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C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
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C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
65 |
C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
66 |
C flx_NS :: vertical momentum flux, meridional direction |
C flx_NS :: vertical momentum flux, meridional direction |
67 |
C flx_EW :: vertical momentum flux, zonal direction |
C flx_EW :: vertical momentum flux, zonal direction |
69 |
C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
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C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
71 |
C gwDiss :: vertical momentum dissipation tendency |
C gwDiss :: vertical momentum dissipation tendency |
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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 |
C i,j,k :: Loop counters |
C i,j,k :: Loop counters |
76 |
INTEGER iMin,iMax,jMin,jMax |
INTEGER iMin,iMax,jMin,jMax |
77 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
78 |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
80 |
_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_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 |
_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_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) |
88 |
_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
89 |
_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_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) |
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INTEGER i,j,k, kp1 |
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
92 |
_RL wOverride |
INTEGER i,j,k, km1, kp1 |
93 |
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_RL mskM1, mskP1 |
94 |
_RL tmp_WbarZ |
_RL tmp_WbarZ |
95 |
_RL uTrans, vTrans, rTrans |
_RL uTrans, vTrans, rTrans |
96 |
_RL viscLoc |
_RL viscLoc |
97 |
_RL halfRL |
_RL halfRL |
98 |
_RS halfRS, zeroRS |
_RS halfRS, zeroRS |
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PARAMETER( halfRL = 0.5D0 ) |
PARAMETER( halfRL = 0.5 _d 0 ) |
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PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
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PARAMETER( iMin = 1 , iMax = sNx ) |
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PARAMETER( jMin = 1 , jMax = sNy ) |
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CEOP |
CEOP |
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#ifdef ALLOW_DIAGNOSTICS |
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LOGICAL diagDiss, diagAdvec |
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LOGICAL DIAGNOSTICS_IS_ON |
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EXTERNAL DIAGNOSTICS_IS_ON |
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#endif /* ALLOW_DIAGNOSTICS */ |
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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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iMin = 1 |
#ifdef ALLOW_DIAGNOSTICS |
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iMax = sNx |
IF ( useDiagnostics ) THEN |
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jMin = 1 |
diagDiss = DIAGNOSTICS_IS_ON( 'Wm_Diss ', myThid ) |
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jMax = sNy |
diagAdvec = DIAGNOSTICS_IS_ON( 'Wm_Advec', myThid ) |
116 |
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ELSE |
117 |
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diagDiss = .FALSE. |
118 |
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diagAdvec = .FALSE. |
119 |
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ENDIF |
120 |
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#endif /* ALLOW_DIAGNOSTICS */ |
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122 |
C-- Initialise gW to zero |
C-- Initialise gW to zero |
123 |
DO k=1,Nr |
DO k=1,Nr |
133 |
gwDiss(i,j) = 0. |
gwDiss(i,j) = 0. |
134 |
ENDDO |
ENDDO |
135 |
ENDDO |
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 |
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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=1-OLy,sNy+OLy |
DO j=1-OLy,sNy+OLy |
147 |
DO i=1-OLx,sNx+OLx |
DO i=1-OLx,sNx+OLx |
148 |
flxAdvUp(i,j) = 0. |
flxAdvUp(i,j) = 0. |
149 |
flxDisUp(i,j) = 0. |
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 |
ENDIF |
IF ( k.EQ.Nr ) mskP1 = 0. |
162 |
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IF ( k.GT.1 ) THEN |
163 |
C-- Compute grid factor arround a W-point: |
C-- Compute grid factor arround a W-point: |
164 |
DO j=1-Oly,sNy+Oly |
#ifdef CALC_GW_NEW_THICK |
165 |
DO i=1-Olx,sNx+Olx |
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 |
C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
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rThickC_W(i,j) = |
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& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
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& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
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rThickC_S(i,j) = |
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& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
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& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
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217 |
IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
218 |
recip_rThickC(i,j) = 0. |
recip_rThickC(i,j) = 0. |
219 |
ELSE |
ELSE |
220 |
recip_rThickC(i,j) = 1. _d 0 / |
recip_rThickC(i,j) = 1. _d 0 / |
221 |
& ( drF(k-1)*halfRS + |
& ( drF(k-1)*halfRS |
222 |
& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
223 |
& ) |
& ) |
224 |
ENDIF |
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 |
C W-Cell Western face area: |
C W-Cell Western face area: |
242 |
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
243 |
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c & *deepFacF(k) |
244 |
C W-Cell Southern face area: |
C W-Cell Southern face area: |
245 |
yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
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 |
ENDDO |
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 |
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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 |
ENDDO |
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 |
flx_EW(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 |
flx_EW(i,j) = |
flx_EW(i,j) = |
287 |
& (wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
& ( wFld(i,j) - wFld(i-1,j) ) |
288 |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
289 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
290 |
& *sqcosFacU(j,bi,bj) |
& *sqCosFacU(j,bi,bj) |
291 |
#endif |
#endif |
292 |
ENDDO |
ENDDO |
293 |
ENDDO |
ENDDO |
294 |
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295 |
C Meridional flux d/dy W |
C Meridional flux d/dy W |
296 |
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IF ( useCubedSphereExchange ) THEN |
297 |
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C to compute d/dy(W), fill corners with appropriate values: |
298 |
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CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
299 |
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& wFld, bi,bj, myThid ) |
300 |
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ENDIF |
301 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
302 |
flx_NS(i,1-Oly)=0. |
flx_NS(i,1-Oly)=0. |
303 |
ENDDO |
ENDDO |
304 |
DO j=1-Oly+1,sNy+Oly |
DO j=1-Oly+1,sNy+Oly |
305 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx |
306 |
flx_NS(i,j) = |
flx_NS(i,j) = |
307 |
& (wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
& ( wFld(i,j) - wFld(i,j-1) ) |
308 |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
309 |
#ifdef ISOTROPIC_COS_SCALING |
#ifdef ISOTROPIC_COS_SCALING |
310 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
315 |
ENDDO |
ENDDO |
316 |
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317 |
C del^2 W |
C del^2 W |
318 |
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)=flx_EW(i+1,j)-flx_EW(i,j) |
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ENDDO |
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del2w(sNx+Olx,j)=0. |
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ENDDO |
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C ... add difference of meridional fluxes and divide by volume |
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319 |
DO j=1-Oly,sNy+Oly-1 |
DO j=1-Oly,sNy+Oly-1 |
320 |
DO i=1-Olx,sNx+Olx |
DO i=1-Olx,sNx+Olx-1 |
321 |
del2w(i,j) = ( del2w(i,j) |
del2w(i,j) = ( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
322 |
& +(flx_NS(i,j+1)-flx_NS(i,j)) |
& +( flx_NS(i,j+1)-flx_NS(i,j) ) |
323 |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
324 |
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& *recip_deepFac2F(k) |
325 |
ENDDO |
ENDDO |
326 |
ENDDO |
ENDDO |
327 |
C-- No-slip BCs impose a drag at walls... |
C end if biharmonic viscosity |
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CML ************************************************************ |
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CML No-slip Boundary conditions for bi-harmonic dissipation |
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CML need to be implemented here! |
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CML ************************************************************ |
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ELSE |
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C- Initialize del2w to zero: |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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del2w(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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328 |
ENDIF |
ENDIF |
329 |
|
|
330 |
IF (momViscosity) THEN |
IF ( momViscosity .AND. k.GT.1 ) THEN |
331 |
C Viscous Flux on Western face |
C Viscous Flux on Western face |
332 |
DO j=jMin,jMax |
DO j=jMin,jMax |
333 |
DO i=iMin,iMax+1 |
DO i=iMin,iMax+1 |
334 |
flx_EW(i,j)= |
flx_EW(i,j)= |
335 |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i-1,j,k,bi,bj))*halfRL |
336 |
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
& *(wVel(i,j,k,bi,bj)-wVel(i-1,j,k,bi,bj)) |
337 |
c & *_recip_dxC(i,j,bi,bj)*xA(i,j) |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
338 |
& *_recip_dxC(i,j,bi,bj)*rThickC_W(i,j) |
& *cosFacU(j,bi,bj) |
339 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
340 |
& *(del2w(i,j)-del2w(i-1,j)) |
& *(del2w(i,j)-del2w(i-1,j)) |
341 |
c & *_recip_dxC(i,j,bi,bj)*xA(i,j) |
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
|
& *_recip_dxC(i,j,bi,bj)*rThickC_W(i,j) |
|
342 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
343 |
& *sqCosFacU(j,bi,bj) |
& *sqCosFacU(j,bi,bj) |
344 |
#else |
#else |
345 |
& *CosFacU(j,bi,bj) |
& *cosFacU(j,bi,bj) |
346 |
#endif |
#endif |
347 |
ENDDO |
ENDDO |
348 |
ENDDO |
ENDDO |
352 |
flx_NS(i,j)= |
flx_NS(i,j)= |
353 |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
& - (viscAh_W(i,j,k,bi,bj)+viscAh_W(i,j-1,k,bi,bj))*halfRL |
354 |
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
& *(wVel(i,j,k,bi,bj)-wVel(i,j-1,k,bi,bj)) |
355 |
c & *_recip_dyC(i,j,bi,bj)*yA(i,j) |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
356 |
& *_recip_dyC(i,j,bi,bj)*rThickC_S(i,j) |
#ifdef ISOTROPIC_COS_SCALING |
357 |
|
& *cosFacV(j,bi,bj) |
358 |
|
#endif |
359 |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i,j-1,k,bi,bj))*halfRL |
360 |
& *(del2w(i,j)-del2w(i,j-1)) |
& *(del2w(i,j)-del2w(i,j-1)) |
361 |
c & *_recip_dyC(i,j,bi,bj)*yA(i,j) |
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
|
& *_recip_dyC(i,j,bi,bj)*rThickC_S(i,j) |
|
362 |
#ifdef ISOTROPIC_COS_SCALING |
#ifdef ISOTROPIC_COS_SCALING |
363 |
#ifdef COSINEMETH_III |
#ifdef COSINEMETH_III |
364 |
& *sqCosFacV(j,bi,bj) |
& *sqCosFacV(j,bi,bj) |
365 |
#else |
#else |
366 |
& *CosFacV(j,bi,bj) |
& *cosFacV(j,bi,bj) |
367 |
#endif |
#endif |
368 |
#endif |
#endif |
369 |
ENDDO |
ENDDO |
378 |
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
379 |
& )*0.125 _d 0 |
& )*0.125 _d 0 |
380 |
flx_Dn(i,j) = |
flx_Dn(i,j) = |
381 |
& - viscLoc*( wVel(i,j,kp1,bi,bj)*wOverRide |
& - viscLoc*( wVel(i,j,kp1,bi,bj)*mskP1 |
382 |
& -wVel(i,j, k ,bi,bj) )*rkSign |
& -wVel(i,j, k ,bi,bj) )*rkSign |
383 |
c & *recip_drF(k)*rA(i,j,bi,bj) |
& *recip_drF(k)*rA(i,j,bi,bj) |
384 |
& *recip_drF(k) |
& *deepFac2C(k)*rhoFacC(k) |
385 |
ENDDO |
ENDDO |
386 |
ENDDO |
ENDDO |
387 |
|
IF ( k.EQ.2 ) THEN |
388 |
|
C Viscous Flux on Upper face of W-Cell (= at tracer-cell center, level k-1) |
389 |
|
DO j=jMin,jMax |
390 |
|
DO i=iMin,iMax |
391 |
|
C Interpolate horizontally (but not vertically) vert viscosity to center: |
392 |
|
C Although background visc. might be defined at k=1, this is not |
393 |
|
C generally true when using variable visc. (from vertical mixing scheme). |
394 |
|
C Therefore, no vert. interp. and only horizontal interpolation. |
395 |
|
viscLoc = ( KappaRU(i,j,k) + KappaRU(i+1,j,k) |
396 |
|
& +KappaRV(i,j,k) + KappaRV(i,j+1,k) |
397 |
|
& )*0.25 _d 0 |
398 |
|
flxDisUp(i,j) = |
399 |
|
& - viscLoc*( wVel(i,j, k ,bi,bj) |
400 |
|
& -wVel(i,j,k-1,bi,bj) )*rkSign |
401 |
|
& *recip_drF(k-1)*rA(i,j,bi,bj) |
402 |
|
& *deepFac2C(k-1)*rhoFacC(k-1) |
403 |
|
C to recover old (before 2009/11/30) results (since flxDisUp(k=2) was zero) |
404 |
|
c flxDisUp(i,j) = 0. |
405 |
|
ENDDO |
406 |
|
ENDDO |
407 |
|
ENDIF |
408 |
C Tendency is minus divergence of viscous fluxes: |
C Tendency is minus divergence of viscous fluxes: |
409 |
|
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
410 |
DO j=jMin,jMax |
DO j=jMin,jMax |
411 |
DO i=iMin,iMax |
DO i=iMin,iMax |
|
c gwDiss(i,j) = |
|
|
c & -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
|
|
c & + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
|
|
c & + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
|
|
c & )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
|
412 |
gwDiss(i,j) = |
gwDiss(i,j) = |
413 |
& -( |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
414 |
& +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
415 |
& +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
416 |
& + ( flxDisUp(i,j)-flx_Dn(i,j) ) |
& *recip_rhoFacF(k) |
417 |
& )*recip_rThickC(i,j) |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
418 |
c & )*recip_drC(k) |
& *recip_deepFac2F(k) |
419 |
C-- prepare for next level (k+1) |
C-- prepare for next level (k+1) |
420 |
flxDisUp(i,j)=flx_Dn(i,j) |
flxDisUp(i,j)=flx_Dn(i,j) |
421 |
ENDDO |
ENDDO |
422 |
ENDDO |
ENDDO |
423 |
ENDIF |
ENDIF |
424 |
|
|
425 |
IF (no_slip_sides) THEN |
IF ( momViscosity .AND. k.GT.1 .AND. no_slip_sides ) THEN |
426 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
427 |
c CALL MOM_W_SIDEDRAG( |
CALL MOM_W_SIDEDRAG( |
428 |
c I bi,bj,k, |
I bi,bj,k, |
429 |
c O gwAdd, |
I wVel, del2w, |
430 |
c I myThid) |
I rThickC_C, recip_rThickC, |
431 |
c DO j=jMin,jMax |
I viscAh_W, viscA4_W, |
432 |
c DO i=iMin,iMax |
O gwAdd, |
433 |
c gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
I myThid ) |
434 |
c ENDDO |
DO j=jMin,jMax |
435 |
c ENDDO |
DO i=iMin,iMax |
436 |
|
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
437 |
|
ENDDO |
438 |
|
ENDDO |
439 |
ENDIF |
ENDIF |
440 |
|
|
441 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
442 |
|
|
443 |
IF ( momAdvection ) THEN |
IF ( momAdvection ) THEN |
444 |
|
|
445 |
|
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
446 |
C Advective Flux on Western face |
C Advective Flux on Western face |
447 |
DO j=jMin,jMax |
DO j=jMin,jMax |
448 |
DO i=iMin,iMax+1 |
DO i=iMin,iMax+1 |
449 |
C transport through Western face area: |
C transport through Western face area: |
450 |
uTrans = ( |
uTrans = ( |
451 |
& drF(k-1)*_hFacW(i,j,k-1,bi,bj)*uVel(i,j,k-1,bi,bj) |
& drF(km1)*_hFacW(i,j,km1,bi,bj)*uVel(i,j,km1,bi,bj) |
452 |
|
& *rhoFacC(km1)*mskM1 |
453 |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
& + drF( k )*_hFacW(i,j, k ,bi,bj)*uVel(i,j, k ,bi,bj) |
454 |
c & )*halfRL*_dyG(i,j,bi,bj) |
& *rhoFacC(k) |
455 |
& )*halfRL |
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
456 |
flx_EW(i,j)= |
flx_EW(i,j) = uTrans*(wFld(i,j)+wFld(i-1,j))*halfRL |
457 |
& uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
c flx_EW(i,j)= |
458 |
|
c & uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
459 |
ENDDO |
ENDDO |
460 |
ENDDO |
ENDDO |
461 |
C Advective Flux on Southern face |
C Advective Flux on Southern face |
463 |
DO i=iMin,iMax |
DO i=iMin,iMax |
464 |
C transport through Southern face area: |
C transport through Southern face area: |
465 |
vTrans = ( |
vTrans = ( |
466 |
& drF(k-1)*_hFacS(i,j,k-1,bi,bj)*vVel(i,j,k-1,bi,bj) |
& drF(km1)*_hFacS(i,j,km1,bi,bj)*vVel(i,j,km1,bi,bj) |
467 |
|
& *rhoFacC(km1)*mskM1 |
468 |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
& +drF( k )*_hFacS(i,j, k ,bi,bj)*vVel(i,j, k ,bi,bj) |
469 |
c & )*halfRL*_dxG(i,j,bi,bj) |
& *rhoFacC(k) |
470 |
& )*halfRL |
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
471 |
flx_NS(i,j)= |
flx_NS(i,j) = vTrans*(wFld(i,j)+wFld(i,j-1))*halfRL |
472 |
& vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
c flx_NS(i,j)= |
473 |
|
c & vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
474 |
ENDDO |
ENDDO |
475 |
ENDDO |
ENDDO |
476 |
|
ENDIF |
477 |
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
C Advective Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
478 |
|
c IF (.TRUE.) THEN |
479 |
DO j=jMin,jMax |
DO j=jMin,jMax |
480 |
DO i=iMin,iMax |
DO i=iMin,iMax |
481 |
tmp_WbarZ = halfRL*( wVel(i,j, k ,bi,bj) |
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
482 |
& +wVel(i,j,kp1,bi,bj)*wOverRide ) |
tmp_WbarZ = halfRL* |
483 |
|
& ( wVel(i,j, k ,bi,bj)*rVel2wUnit( k ) |
484 |
|
& +wVel(i,j,kp1,bi,bj)*rVel2wUnit(kp1)*mskP1 ) |
485 |
C transport through Lower face area: |
C transport through Lower face area: |
486 |
rTrans = tmp_WbarZ*rA(i,j,bi,bj) |
rTrans = halfRL* |
487 |
c flx_Dn(i,j) = rTrans*tmp_WbarZ |
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
488 |
flx_Dn(i,j) = tmp_WbarZ*tmp_WbarZ |
& +wVel(i,j,kp1,bi,bj)*deepFac2F(kp1)*rhoFacF(kp1) |
489 |
|
& *mskP1 |
490 |
|
& )*rA(i,j,bi,bj) |
491 |
|
flx_Dn(i,j) = rTrans*tmp_WbarZ |
492 |
|
ENDDO |
493 |
|
ENDDO |
494 |
|
c ENDIF |
495 |
|
IF ( k.EQ.1 .AND. selectNHfreeSurf.GE.1 ) THEN |
496 |
|
C Advective Flux on Upper face of W-Cell (= at surface) |
497 |
|
DO j=jMin,jMax |
498 |
|
DO i=iMin,iMax |
499 |
|
tmp_WbarZ = wVel(i,j,k,bi,bj)*rVel2wUnit(k) |
500 |
|
rTrans = wVel(i,j,k,bi,bj)*deepFac2F(k)*rhoFacF(k) |
501 |
|
& *rA(i,j,bi,bj) |
502 |
|
flxAdvUp(i,j) = rTrans*tmp_WbarZ |
503 |
|
c flxAdvUp(i,j) = 0. |
504 |
|
ENDDO |
505 |
ENDDO |
ENDDO |
506 |
ENDDO |
ENDIF |
507 |
|
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
508 |
C Tendency is minus divergence of advective fluxes: |
C Tendency is minus divergence of advective fluxes: |
509 |
|
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
510 |
DO j=jMin,jMax |
DO j=jMin,jMax |
511 |
DO i=iMin,iMax |
DO i=iMin,iMax |
|
c gW(i,j,k,bi,bj) = |
|
|
c & -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
|
|
c & + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
|
|
c & + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign |
|
|
c & )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
|
512 |
gW(i,j,k,bi,bj) = |
gW(i,j,k,bi,bj) = |
513 |
& -( |
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
514 |
& +_recip_dxF(i,j,bi,bj)*( flx_EW(i+1,j)-flx_EW(i,j) ) |
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
515 |
& +_recip_dyF(i,j,bi,bj)*( flx_NS(i,j+1)-flx_NS(i,j) ) |
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
516 |
& + ( flxAdvUp(i,j)-flx_Dn(i,j) ) |
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
517 |
& )*recip_rThickC(i,j) |
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
518 |
c & )*recip_drC(k) |
ENDDO |
519 |
|
ENDDO |
520 |
|
ENDIF |
521 |
|
|
522 |
|
DO j=jMin,jMax |
523 |
|
DO i=iMin,iMax |
524 |
C-- prepare for next level (k+1) |
C-- prepare for next level (k+1) |
525 |
flxAdvUp(i,j)=flx_Dn(i,j) |
flxAdvUp(i,j)=flx_Dn(i,j) |
526 |
ENDDO |
ENDDO |
527 |
ENDDO |
ENDDO |
528 |
|
|
529 |
|
c ELSE |
530 |
|
C- if momAdvection / else |
531 |
|
c DO j=1-OLy,sNy+OLy |
532 |
|
c DO i=1-OLx,sNx+OLx |
533 |
|
c gW(i,j,k,bi,bj) = 0. _d 0 |
534 |
|
c ENDDO |
535 |
|
c ENDDO |
536 |
|
|
537 |
|
C- endif momAdvection. |
538 |
ENDIF |
ENDIF |
539 |
|
|
540 |
IF ( useNHMTerms ) THEN |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
541 |
|
|
542 |
|
IF ( useNHMTerms .AND. k.GT.1 ) THEN |
543 |
CALL MOM_W_METRIC_NH( |
CALL MOM_W_METRIC_NH( |
544 |
I bi,bj,k, |
I bi,bj,k, |
545 |
I uVel, vVel, |
I uVel, vVel, |
551 |
ENDDO |
ENDDO |
552 |
ENDDO |
ENDDO |
553 |
ENDIF |
ENDIF |
554 |
IF ( useCoriolis ) THEN |
IF ( use3dCoriolis .AND. k.GT.1 ) THEN |
555 |
CALL MOM_W_CORIOLIS_NH( |
CALL MOM_W_CORIOLIS_NH( |
556 |
I bi,bj,k, |
I bi,bj,k, |
557 |
I uVel, vVel, |
I uVel, vVel, |
566 |
|
|
567 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
568 |
|
|
569 |
|
#ifdef ALLOW_DIAGNOSTICS |
570 |
|
IF ( diagDiss ) THEN |
571 |
|
CALL DIAGNOSTICS_FILL( gwDiss, 'Wm_Diss ', |
572 |
|
& k, 1, 2, bi,bj, myThid ) |
573 |
|
C- note: needs to explicitly increment the counter since DIAGNOSTICS_FILL |
574 |
|
C does it only if k=1 (never the case here) |
575 |
|
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Diss ',bi,bj,myThid) |
576 |
|
ENDIF |
577 |
|
IF ( diagAdvec ) THEN |
578 |
|
CALL DIAGNOSTICS_FILL( gW, 'Wm_Advec', |
579 |
|
& k,Nr, 1, bi,bj, myThid ) |
580 |
|
c IF ( k.EQ.2 ) CALL DIAGNOSTICS_COUNT('Wm_Advec',bi,bj,myThid) |
581 |
|
ENDIF |
582 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
583 |
|
|
584 |
C-- Dissipation term inside the Adams-Bashforth: |
C-- Dissipation term inside the Adams-Bashforth: |
585 |
IF ( momViscosity .AND. momDissip_In_AB) THEN |
IF ( momViscosity .AND. momDissip_In_AB) THEN |
586 |
DO j=jMin,jMax |
DO j=jMin,jMax |
592 |
|
|
593 |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
C- Compute effective gW_[n+1/2] terms (including Adams-Bashforth weights) |
594 |
C and save gW_[n] into gwNm1 for the next time step. |
C and save gW_[n] into gwNm1 for the next time step. |
595 |
c#ifdef ALLOW_ADAMSBASHFORTH_3 |
#ifdef ALLOW_ADAMSBASHFORTH_3 |
596 |
c CALL ADAMS_BASHFORTH3( |
CALL ADAMS_BASHFORTH3( |
597 |
c I bi, bj, k, |
I bi, bj, k, |
598 |
c U gW, gwNm, |
U gW, gwNm, |
599 |
c I momStartAB, myIter, myThid ) |
I nHydStartAB, myIter, myThid ) |
600 |
c#else /* ALLOW_ADAMSBASHFORTH_3 */ |
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
601 |
CALL ADAMS_BASHFORTH2( |
CALL ADAMS_BASHFORTH2( |
602 |
I bi, bj, k, |
I bi, bj, k, |
603 |
U gW, gwNm1, |
U gW, gwNm1, |
604 |
I myIter, myThid ) |
I nHydStartAB, myIter, myThid ) |
605 |
c#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
606 |
|
|
607 |
C-- Dissipation term outside the Adams-Bashforth: |
C-- Dissipation term outside the Adams-Bashforth: |
608 |
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
616 |
C- end of the k loop |
C- end of the k loop |
617 |
ENDDO |
ENDDO |
618 |
|
|
619 |
|
#ifdef ALLOW_DIAGNOSTICS |
620 |
|
IF (useDiagnostics) THEN |
621 |
|
CALL DIAGNOSTICS_FILL(viscAh_W,'VISCAHW ',0,Nr,1,bi,bj,myThid) |
622 |
|
CALL DIAGNOSTICS_FILL(viscA4_W,'VISCA4W ',0,Nr,1,bi,bj,myThid) |
623 |
|
ENDIF |
624 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
625 |
|
|
626 |
#endif /* ALLOW_NONHYDROSTATIC */ |
#endif /* ALLOW_NONHYDROSTATIC */ |
627 |
|
|
628 |
RETURN |
RETURN |