1 |
|
C $Header$ |
2 |
|
C $Name$ |
3 |
|
|
4 |
|
#include "PACKAGES_CONFIG.h" |
5 |
#include "CPP_OPTIONS.h" |
#include "CPP_OPTIONS.h" |
6 |
|
#define CALC_GW_NEW_THICK |
7 |
|
|
8 |
SUBROUTINE CALC_GW( |
CBOP |
9 |
I myThid) |
C !ROUTINE: CALC_GW |
10 |
C /==========================================================\ |
C !INTERFACE: |
11 |
C | S/R CALC_GW | |
SUBROUTINE CALC_GW( |
12 |
C \==========================================================/ |
I bi, bj, KappaRU, KappaRV, |
13 |
IMPLICIT NONE |
I myTime, myIter, myThid ) |
14 |
|
C !DESCRIPTION: \bv |
15 |
|
C *==========================================================* |
16 |
|
C | S/R CALC_GW |
17 |
|
C | o Calculate vertical velocity tendency terms |
18 |
|
C | ( Non-Hydrostatic only ) |
19 |
|
C *==========================================================* |
20 |
|
C | In NH, the vertical momentum tendency must be |
21 |
|
C | calculated explicitly and included as a source term |
22 |
|
C | for a 3d pressure eqn. Calculate that term here. |
23 |
|
C | This routine is not used in HYD calculations. |
24 |
|
C *==========================================================* |
25 |
|
C \ev |
26 |
|
|
27 |
|
C !USES: |
28 |
|
IMPLICIT NONE |
29 |
C == Global variables == |
C == Global variables == |
30 |
#include "SIZE.h" |
#include "SIZE.h" |
|
#include "DYNVARS.h" |
|
|
#include "FFIELDS.h" |
|
31 |
#include "EEPARAMS.h" |
#include "EEPARAMS.h" |
32 |
#include "PARAMS.h" |
#include "PARAMS.h" |
33 |
#include "GRID.h" |
#include "GRID.h" |
34 |
#include "CG2D.h" |
#include "RESTART.h" |
35 |
#include "GW.h" |
#include "SURFACE.h" |
36 |
#include "CG3D.h" |
#include "DYNVARS.h" |
37 |
|
#include "NH_VARS.h" |
38 |
|
|
39 |
|
C !INPUT/OUTPUT PARAMETERS: |
40 |
C == Routine arguments == |
C == Routine arguments == |
41 |
C myThid - Instance number for this innvocation of CALC_GW |
C bi,bj :: current tile indices |
42 |
|
C KappaRU :: vertical viscosity at U points |
43 |
|
C KappaRV :: vertical viscosity at V points |
44 |
|
C myTime :: Current time in simulation |
45 |
|
C myIter :: Current iteration number in simulation |
46 |
|
C myThid :: Thread number for this instance of the routine. |
47 |
|
INTEGER bi,bj |
48 |
|
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
49 |
|
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
50 |
|
_RL myTime |
51 |
|
INTEGER myIter |
52 |
INTEGER myThid |
INTEGER myThid |
53 |
|
|
54 |
#ifdef ALLOW_NONHYDROSTATIC |
#ifdef ALLOW_NONHYDROSTATIC |
55 |
|
|
56 |
|
C !LOCAL VARIABLES: |
57 |
C == Local variables == |
C == Local variables == |
58 |
INTEGER bi,bj,iMin,iMax,jMin,jMax |
C iMin,iMax |
59 |
_RL aF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C jMin,jMax |
60 |
_RL vF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C xA :: W-Cell face area normal to X |
61 |
_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C yA :: W-Cell face area normal to Y |
62 |
_RL cF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C rThickC_W :: thickness (in r-units) of W-Cell at Western Edge |
63 |
_RL mT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C rThickC_S :: thickness (in r-units) of W-Cell at Southern Edge |
64 |
_RL pF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C rThickC_C :: thickness (in r-units) of W-Cell (centered on W pt) |
65 |
_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C recip_rThickC :: reciprol thickness of W-Cell (centered on W-point) |
66 |
_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
C flx_NS :: vertical momentum flux, meridional direction |
67 |
|
C flx_EW :: vertical momentum flux, zonal direction |
68 |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
C flxAdvUp :: vertical mom. advective flux, vertical direction (@ level k-1) |
69 |
_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
C flxDisUp :: vertical mom. dissipation flux, vertical direction (@ level k-1) |
70 |
_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
C flx_Dn :: vertical momentum flux, vertical direction (@ level k) |
71 |
_RL flx_Up(1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy) |
C gwDiss :: vertical momentum dissipation tendency |
72 |
C I,J,K - Loop counters |
C gwAdd :: other tendencies (Coriolis, Metric-terms) |
73 |
INTEGER i,j,k, kP1, kUp |
C del2w :: laplacian of wVel |
74 |
_RL wOverride |
C wFld :: local copy of wVel |
75 |
_RS hFacROpen |
C i,j,k :: Loop counters |
76 |
_RS hFacRClosed |
INTEGER iMin,iMax,jMin,jMax |
77 |
_RL ab15,ab05 |
_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
78 |
_RL tmp_VbarZ, tmp_UbarZ, tmp_WbarZ |
_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
79 |
|
_RL rThickC_W (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
80 |
_RL Half |
_RL rThickC_S (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
81 |
PARAMETER(Half=0.5D0) |
_RL rThickC_C (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
82 |
|
_RL recip_rThickC(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
83 |
#define I0 1 |
_RL flx_NS(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
84 |
#define In sNx |
_RL flx_EW(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
85 |
#define J0 1 |
_RL flx_Dn(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
86 |
#define Jn sNy |
_RL flxAdvUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
87 |
|
_RL flxDisUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
88 |
C Adams-Bashforth timestepping weights |
_RL gwDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
89 |
ab15=1.5+abeps |
_RL gwAdd (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
90 |
ab05=-0.5-abeps |
_RL del2w (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
91 |
|
_RL wFld (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
92 |
DO bj=myByLo(myThid),myByHi(myThid) |
INTEGER i,j,k, km1, kp1 |
93 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
_RL mskM1, mskP1 |
94 |
DO K=1,Nr |
_RL tmp_WbarZ |
95 |
DO j=1-OLy,sNy+OLy |
_RL uTrans, vTrans, rTrans |
96 |
DO i=1-OLx,sNx+OLx |
_RL viscLoc |
97 |
|
_RL halfRL |
98 |
|
_RS halfRS, zeroRS |
99 |
|
PARAMETER( halfRL = 0.5 _d 0 ) |
100 |
|
PARAMETER( halfRS = 0.5 , zeroRS = 0. ) |
101 |
|
PARAMETER( iMin = 1 , iMax = sNx ) |
102 |
|
PARAMETER( jMin = 1 , jMax = sNy ) |
103 |
|
CEOP |
104 |
|
#ifdef ALLOW_DIAGNOSTICS |
105 |
|
LOGICAL diagDiss, diagAdvec |
106 |
|
LOGICAL DIAGNOSTICS_IS_ON |
107 |
|
EXTERNAL DIAGNOSTICS_IS_ON |
108 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
109 |
|
|
110 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
111 |
|
|
112 |
|
#ifdef ALLOW_DIAGNOSTICS |
113 |
|
IF ( useDiagnostics ) THEN |
114 |
|
diagDiss = DIAGNOSTICS_IS_ON( 'Wm_Diss ', myThid ) |
115 |
|
diagAdvec = DIAGNOSTICS_IS_ON( 'Wm_Advec', myThid ) |
116 |
|
ELSE |
117 |
|
diagDiss = .FALSE. |
118 |
|
diagAdvec = .FALSE. |
119 |
|
ENDIF |
120 |
|
#endif /* ALLOW_DIAGNOSTICS */ |
121 |
|
|
122 |
|
C-- Initialise gW to zero |
123 |
|
DO k=1,Nr |
124 |
|
DO j=1-OLy,sNy+OLy |
125 |
|
DO i=1-OLx,sNx+OLx |
126 |
gW(i,j,k,bi,bj) = 0. |
gW(i,j,k,bi,bj) = 0. |
|
ENDDO |
|
127 |
ENDDO |
ENDDO |
128 |
ENDDO |
ENDDO |
129 |
|
ENDDO |
130 |
|
C- Initialise gwDiss to zero |
131 |
|
DO j=1-OLy,sNy+OLy |
132 |
|
DO i=1-OLx,sNx+OLx |
133 |
|
gwDiss(i,j) = 0. |
134 |
ENDDO |
ENDDO |
135 |
ENDDO |
ENDDO |
136 |
|
IF (momViscosity) THEN |
137 |
C Catch barotropic mode |
C- Initialize del2w to zero: |
138 |
IF ( Nr .LT. 2 ) RETURN |
DO j=1-Oly,sNy+Oly |
139 |
|
DO i=1-Olx,sNx+Olx |
140 |
C For each tile |
del2w(i,j) = 0. _d 0 |
|
DO bj=myByLo(myThid),myByHi(myThid) |
|
|
DO bi=myBxLo(myThid),myBxHi(myThid) |
|
|
|
|
|
C Boundaries condition at top |
|
|
DO J=J0,Jn |
|
|
DO I=I0,In |
|
|
Flx_Dn(I,J,bi,bj)=0. |
|
141 |
ENDDO |
ENDDO |
142 |
ENDDO |
ENDDO |
143 |
|
ENDIF |
144 |
|
|
145 |
C Sweep down column |
C-- Boundaries condition at top (vertical advection of vertical momentum): |
146 |
DO K=2,Nr |
DO j=1-OLy,sNy+OLy |
147 |
Kp1=K+1 |
DO i=1-OLx,sNx+OLx |
148 |
wOverRide=1. |
flxAdvUp(i,j) = 0. |
149 |
if (K.EQ.Nr) then |
c flxDisUp(i,j) = 0. |
|
Kp1=Nr |
|
|
wOverRide=0. |
|
|
endif |
|
|
C Flux on Southern face |
|
|
DO J=J0,Jn+1 |
|
|
DO I=I0,In |
|
|
tmp_VbarZ=Half*( |
|
|
& _hFacS(I,J,K-1,bi,bj)*vVel( I ,J,K-1,bi,bj) |
|
|
& +_hFacS(I,J, K ,bi,bj)*vVel( I ,J, K ,bi,bj)) |
|
|
Flx_NS(I,J,bi,bj)= |
|
|
& tmp_VbarZ*Half*(wVel(I,J,K,bi,bj)+wVel(I,J-1,K,bi,bj)) |
|
|
& -viscAh*_recip_dyC(I,J,bi,bj)*( |
|
|
& wVel(I,J,K,bi,bj)-wVel(I,J-1,K,bi,bj) ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
C Flux on Western face |
|
|
DO J=J0,Jn |
|
|
DO I=I0,In+1 |
|
|
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,bi,bj)= |
|
|
& tmp_UbarZ*Half*(wVel(I,J,K,bi,bj)+wVel(I-1,J,K,bi,bj)) |
|
|
& -viscAh*_recip_dxC(I,J,bi,bj)*( |
|
|
& wVel(I,J,K,bi,bj)-wVel(I-1,J,K,bi,bj) ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
C Flux on Lower face |
|
|
DO J=J0,Jn |
|
|
DO I=I0,In |
|
|
Flx_Up(I,J,bi,bj)=Flx_Dn(I,J,bi,bj) |
|
|
tmp_WbarZ=Half*(wVel(I,J,K,bi,bj)+wVel(I,J,Kp1,bi,bj)) |
|
|
Flx_Dn(I,J,bi,bj)= |
|
|
& tmp_WbarZ*tmp_WbarZ |
|
|
& -viscAr*recip_drF(K)*( wVel(I,J,K,bi,bj) |
|
|
& -wOverRide*wVel(I,J,Kp1,bi,bj) ) |
|
|
ENDDO |
|
|
ENDDO |
|
|
C Divergence of fluxes |
|
|
DO J=J0,Jn |
|
|
DO I=I0,In |
|
|
gW(I,J,K,bi,bj) = 0. |
|
|
& -( |
|
|
& +_recip_dxF(I,J,bi,bj)*( |
|
|
& Flx_EW(I+1,J,bi,bj)-Flx_EW(I,J,bi,bj) ) |
|
|
& +_recip_dyF(I,J,bi,bj)*( |
|
|
& Flx_NS(I,J+1,bi,bj)-Flx_NS(I,J,bi,bj) ) |
|
|
& +recip_drC(K) *( |
|
|
& Flx_Up(I,J,bi,bj) -Flx_Dn(I,J,bi,bj) ) |
|
|
& ) |
|
|
caja * recip_hFacU(I,J,K,bi,bj) |
|
|
caja NOTE: This should be included |
|
|
caja but we need an hFacUW (above U points) |
|
|
caja and an hFacUS (above V points) too... |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDDO |
|
150 |
ENDDO |
ENDDO |
151 |
ENDDO |
ENDDO |
152 |
|
|
153 |
|
|
154 |
DO bj=myByLo(myThid),myByHi(myThid) |
C--- Sweep down column |
155 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
DO k=1,Nr |
156 |
DO K=2,Nr |
km1 = MAX( k-1, 1 ) |
157 |
DO j=J0,Jn |
kp1 = MIN( k+1,Nr ) |
158 |
DO i=I0,In |
mskM1 = 1. |
159 |
wVel(i,j,k,bi,bj) = wVel(i,j,k,bi,bj) |
mskP1 = 1. |
160 |
& +deltatMom*( ab15*gW(i,j,k,bi,bj) |
IF ( k.EQ. 1 ) mskM1 = 0. |
161 |
& +ab05*gWNM1(i,j,k,bi,bj) ) |
IF ( k.EQ.Nr ) mskP1 = 0. |
162 |
IF (hFacC(I,J,K,bi,bj).EQ.0.) wVel(i,j,k,bi,bj)=0. |
IF ( k.GT.1 ) THEN |
163 |
|
C-- Compute grid factor arround a W-point: |
164 |
|
#ifdef CALC_GW_NEW_THICK |
165 |
|
DO j=1-Oly,sNy+Oly |
166 |
|
DO i=1-Olx,sNx+Olx |
167 |
|
IF ( maskC(i,j,k-1,bi,bj).EQ.0. .OR. |
168 |
|
& maskC(i,j, k ,bi,bj).EQ.0. ) THEN |
169 |
|
recip_rThickC(i,j) = 0. |
170 |
|
ELSE |
171 |
|
C- valid in z & p coord.; also accurate if Interface @ middle between 2 centers |
172 |
|
recip_rThickC(i,j) = 1. _d 0 / |
173 |
|
& ( MIN( Ro_surf(i,j,bi,bj),rC(k-1) ) |
174 |
|
& - MAX( R_low(i,j,bi,bj), rC(k) ) |
175 |
|
& ) |
176 |
|
ENDIF |
177 |
ENDDO |
ENDDO |
178 |
ENDDO |
ENDDO |
179 |
ENDDO |
IF (momViscosity) THEN |
180 |
ENDDO |
DO j=1-Oly,sNy+Oly |
181 |
ENDDO |
DO i=1-Olx,sNx+Olx |
182 |
DO bj=myByLo(myThid),myByHi(myThid) |
rThickC_C(i,j) = MAX( zeroRS, |
183 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
& MIN( Ro_surf(i,j,bi,bj), rC(k-1) ) |
184 |
DO K=1,Nr |
& -MAX( R_low(i,j,bi,bj), rC(k) ) |
185 |
DO j=J0,Jn |
& ) |
|
DO i=I0,In |
|
|
gWNM1(i,j,k,bi,bj) = gW(i,j,k,bi,bj) |
|
186 |
ENDDO |
ENDDO |
187 |
ENDDO |
ENDDO |
188 |
ENDDO |
DO j=1-Oly,sNy+Oly |
189 |
ENDDO |
DO i=1-Olx+1,sNx+Olx |
190 |
ENDDO |
rThickC_W(i,j) = MAX( zeroRS, |
191 |
|
& MIN( rSurfW(i,j,bi,bj), rC(k-1) ) |
192 |
|
& -MAX( rLowW(i,j,bi,bj), rC(k) ) |
193 |
|
& ) |
194 |
|
C W-Cell Western face area: |
195 |
|
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
196 |
|
c & *deepFacF(k) |
197 |
|
ENDDO |
198 |
|
ENDDO |
199 |
|
DO j=1-Oly+1,sNy+Oly |
200 |
|
DO i=1-Olx,sNx+Olx |
201 |
|
rThickC_S(i,j) = MAX( zeroRS, |
202 |
|
& MIN( rSurfS(i,j,bi,bj), rC(k-1) ) |
203 |
|
& -MAX( rLowS(i,j,bi,bj), rC(k) ) |
204 |
|
& ) |
205 |
|
C W-Cell Southern face area: |
206 |
|
yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
207 |
|
c & *deepFacF(k) |
208 |
|
C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
209 |
|
C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
210 |
|
ENDDO |
211 |
|
ENDDO |
212 |
|
ENDIF |
213 |
|
#else /* CALC_GW_NEW_THICK */ |
214 |
|
DO j=1-Oly,sNy+Oly |
215 |
|
DO i=1-Olx,sNx+Olx |
216 |
|
C- note: assume fluid @ smaller k than bottom: does not work in p-coordinate ! |
217 |
|
IF ( maskC(i,j,k,bi,bj).EQ.0. ) THEN |
218 |
|
recip_rThickC(i,j) = 0. |
219 |
|
ELSE |
220 |
|
recip_rThickC(i,j) = 1. _d 0 / |
221 |
|
& ( drF(k-1)*halfRS |
222 |
|
& + drF( k )*MIN( _hFacC(i,j, k ,bi,bj), halfRS ) |
223 |
|
& ) |
224 |
|
ENDIF |
225 |
|
c IF (momViscosity) THEN |
226 |
|
#ifdef NONLIN_FRSURF |
227 |
|
rThickC_C(i,j) = |
228 |
|
& drF(k-1)*MAX( h0FacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
229 |
|
& + drF( k )*MIN( h0FacC(i,j,k ,bi,bj), halfRS ) |
230 |
|
#else |
231 |
|
rThickC_C(i,j) = |
232 |
|
& drF(k-1)*MAX( _hFacC(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
233 |
|
& + drF( k )*MIN( _hFacC(i,j,k ,bi,bj), halfRS ) |
234 |
|
#endif |
235 |
|
rThickC_W(i,j) = |
236 |
|
& drF(k-1)*MAX( _hFacW(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
237 |
|
& + drF( k )*MIN( _hFacW(i,j,k ,bi,bj), halfRS ) |
238 |
|
rThickC_S(i,j) = |
239 |
|
& drF(k-1)*MAX( _hFacS(i,j,k-1,bi,bj)-halfRS, zeroRS ) |
240 |
|
& + drF( k )*MIN( _hFacS(i,j, k ,bi,bj), halfRS ) |
241 |
|
C W-Cell Western face area: |
242 |
|
xA(i,j) = _dyG(i,j,bi,bj)*rThickC_W(i,j) |
243 |
|
c & *deepFacF(k) |
244 |
|
C W-Cell Southern face area: |
245 |
|
yA(i,j) = _dxG(i,j,bi,bj)*rThickC_S(i,j) |
246 |
|
c & *deepFacF(k) |
247 |
|
C deep-model: xA,yA is only used for viscous flux, in terms like: xA/dxC,yA/dyC. |
248 |
|
C this gives deepFacF*recip_deepFacF => cancel each other (and therefore omitted) |
249 |
|
c ENDIF |
250 |
|
ENDDO |
251 |
|
ENDDO |
252 |
|
#endif /* CALC_GW_NEW_THICK */ |
253 |
|
ELSEIF ( selectNHfreeSurf.GE.1 ) THEN |
254 |
|
DO j=1-Oly,sNy+Oly |
255 |
|
DO i=1-Olx,sNx+Olx |
256 |
|
recip_rThickC(i,j) = recip_drC(k) |
257 |
|
c rThickC_C(i,j) = drC(k) |
258 |
|
c rThickC_W(i,j) = drC(k) |
259 |
|
c rThickC_S(i,j) = drC(k) |
260 |
|
c xA(i,j) = _dyG(i,j,bi,bj)*drC(k) |
261 |
|
c yA(i,j) = _dxG(i,j,bi,bj)*drC(k) |
262 |
|
ENDDO |
263 |
|
ENDDO |
264 |
|
ENDIF |
265 |
|
|
266 |
C-- This call is aesthetic: it makes the W field |
C-- local copy of wVel: |
267 |
C consistent with the OBs but this has no algorithmic |
DO j=1-Oly,sNy+Oly |
268 |
C impact. This is purely for diagnostic purposes. |
DO i=1-Olx,sNx+Olx |
269 |
DO bj=myByLo(myThid),myByHi(myThid) |
wFld(i,j) = wVel(i,j,k,bi,bj) |
270 |
DO bi=myBxLo(myThid),myBxHi(myThid) |
ENDDO |
|
DO K=1,Nr |
|
|
Kup=max(1,K-1) |
|
|
c CALL APPLY_OBCS3( bi, bj, K, Kup, rTrans, rVel, |
|
|
c I myThid ) |
|
271 |
ENDDO |
ENDDO |
272 |
ENDDO |
|
273 |
|
C-- horizontal bi-harmonic dissipation |
274 |
|
IF ( momViscosity .AND. k.GT.1 .AND. viscA4W.NE.0. ) THEN |
275 |
|
|
276 |
|
C- calculate the horizontal Laplacian of vertical flow |
277 |
|
C Zonal flux d/dx W |
278 |
|
IF ( useCubedSphereExchange ) THEN |
279 |
|
C to compute d/dx(W), fill corners with appropriate values: |
280 |
|
CALL FILL_CS_CORNER_TR_RL( 1, .FALSE., |
281 |
|
& wFld, bi,bj, myThid ) |
282 |
|
ENDIF |
283 |
|
DO j=1-Oly,sNy+Oly |
284 |
|
flx_EW(1-Olx,j)=0. |
285 |
|
DO i=1-Olx+1,sNx+Olx |
286 |
|
flx_EW(i,j) = |
287 |
|
& ( wFld(i,j) - wFld(i-1,j) ) |
288 |
|
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
289 |
|
#ifdef COSINEMETH_III |
290 |
|
& *sqCosFacU(j,bi,bj) |
291 |
|
#endif |
292 |
|
ENDDO |
293 |
|
ENDDO |
294 |
|
|
295 |
|
C Meridional flux d/dy W |
296 |
|
IF ( useCubedSphereExchange ) THEN |
297 |
|
C to compute d/dy(W), fill corners with appropriate values: |
298 |
|
CALL FILL_CS_CORNER_TR_RL( 2, .FALSE., |
299 |
|
& wFld, bi,bj, myThid ) |
300 |
|
ENDIF |
301 |
|
DO i=1-Olx,sNx+Olx |
302 |
|
flx_NS(i,1-Oly)=0. |
303 |
|
ENDDO |
304 |
|
DO j=1-Oly+1,sNy+Oly |
305 |
|
DO i=1-Olx,sNx+Olx |
306 |
|
flx_NS(i,j) = |
307 |
|
& ( wFld(i,j) - wFld(i,j-1) ) |
308 |
|
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
309 |
|
#ifdef ISOTROPIC_COS_SCALING |
310 |
|
#ifdef COSINEMETH_III |
311 |
|
& *sqCosFacV(j,bi,bj) |
312 |
|
#endif |
313 |
|
#endif |
314 |
|
ENDDO |
315 |
|
ENDDO |
316 |
|
|
317 |
|
C del^2 W |
318 |
|
C Divergence of horizontal fluxes |
319 |
|
DO j=1-Oly,sNy+Oly-1 |
320 |
|
DO i=1-Olx,sNx+Olx-1 |
321 |
|
del2w(i,j) = ( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
322 |
|
& +( flx_NS(i,j+1)-flx_NS(i,j) ) |
323 |
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
324 |
|
& *recip_deepFac2F(k) |
325 |
|
ENDDO |
326 |
|
ENDDO |
327 |
|
C end if biharmonic viscosity |
328 |
|
ENDIF |
329 |
|
|
330 |
|
IF ( momViscosity .AND. k.GT.1 ) THEN |
331 |
|
C Viscous Flux on Western face |
332 |
|
DO j=jMin,jMax |
333 |
|
DO i=iMin,iMax+1 |
334 |
|
flx_EW(i,j)= |
335 |
|
& - (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)) |
337 |
|
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
338 |
|
& *cosFacU(j,bi,bj) |
339 |
|
& + (viscA4_W(i,j,k,bi,bj)+viscA4_W(i-1,j,k,bi,bj))*halfRL |
340 |
|
& *(del2w(i,j)-del2w(i-1,j)) |
341 |
|
& *_recip_dxC(i,j,bi,bj)*xA(i,j) |
342 |
|
#ifdef COSINEMETH_III |
343 |
|
& *sqCosFacU(j,bi,bj) |
344 |
|
#else |
345 |
|
& *cosFacU(j,bi,bj) |
346 |
|
#endif |
347 |
|
ENDDO |
348 |
|
ENDDO |
349 |
|
C Viscous Flux on Southern face |
350 |
|
DO j=jMin,jMax+1 |
351 |
|
DO i=iMin,iMax |
352 |
|
flx_NS(i,j)= |
353 |
|
& - (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)) |
355 |
|
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
356 |
|
#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 |
360 |
|
& *(del2w(i,j)-del2w(i,j-1)) |
361 |
|
& *_recip_dyC(i,j,bi,bj)*yA(i,j) |
362 |
|
#ifdef ISOTROPIC_COS_SCALING |
363 |
|
#ifdef COSINEMETH_III |
364 |
|
& *sqCosFacV(j,bi,bj) |
365 |
|
#else |
366 |
|
& *cosFacV(j,bi,bj) |
367 |
|
#endif |
368 |
|
#endif |
369 |
|
ENDDO |
370 |
|
ENDDO |
371 |
|
C Viscous Flux on Lower face of W-Cell (= at tracer-cell center, level k) |
372 |
|
DO j=jMin,jMax |
373 |
|
DO i=iMin,iMax |
374 |
|
C Interpolate vert viscosity to center of tracer-cell (level k): |
375 |
|
viscLoc = ( KappaRU(i,j,k) +KappaRU(i+1,j,k) |
376 |
|
& +KappaRU(i,j,kp1)+KappaRU(i+1,j,kp1) |
377 |
|
& +KappaRV(i,j,k) +KappaRV(i,j+1,k) |
378 |
|
& +KappaRV(i,j,kp1)+KappaRV(i,j+1,kp1) |
379 |
|
& )*0.125 _d 0 |
380 |
|
flx_Dn(i,j) = |
381 |
|
& - viscLoc*( wVel(i,j,kp1,bi,bj)*mskP1 |
382 |
|
& -wVel(i,j, k ,bi,bj) )*rkSign |
383 |
|
& *recip_drF(k)*rA(i,j,bi,bj) |
384 |
|
& *deepFac2C(k)*rhoFacC(k) |
385 |
|
ENDDO |
386 |
|
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: |
409 |
|
C anelastic: vert.visc.flx is scaled by rhoFac but hor.visc.fluxes are not |
410 |
|
DO j=jMin,jMax |
411 |
|
DO i=iMin,iMax |
412 |
|
gwDiss(i,j) = |
413 |
|
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
414 |
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
415 |
|
& + ( flx_Dn(i,j)-flxDisUp(i,j) )*rkSign |
416 |
|
& *recip_rhoFacF(k) |
417 |
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
418 |
|
& *recip_deepFac2F(k) |
419 |
|
C-- prepare for next level (k+1) |
420 |
|
flxDisUp(i,j)=flx_Dn(i,j) |
421 |
|
ENDDO |
422 |
|
ENDDO |
423 |
|
ENDIF |
424 |
|
|
425 |
|
IF ( momViscosity .AND. k.GT.1 .AND. no_slip_sides ) THEN |
426 |
|
C- No-slip BCs impose a drag at walls... |
427 |
|
CALL MOM_W_SIDEDRAG( |
428 |
|
I bi,bj,k, |
429 |
|
I wVel, del2w, |
430 |
|
I rThickC_C, recip_rThickC, |
431 |
|
I viscAh_W, viscA4_W, |
432 |
|
O gwAdd, |
433 |
|
I myThid ) |
434 |
|
DO j=jMin,jMax |
435 |
|
DO i=iMin,iMax |
436 |
|
gwDiss(i,j) = gwDiss(i,j) + gwAdd(i,j) |
437 |
|
ENDDO |
438 |
|
ENDDO |
439 |
|
ENDIF |
440 |
|
|
441 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
442 |
|
|
443 |
|
IF ( momAdvection ) THEN |
444 |
|
|
445 |
|
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
446 |
|
C Advective Flux on Western face |
447 |
|
DO j=jMin,jMax |
448 |
|
DO i=iMin,iMax+1 |
449 |
|
C transport through Western face area: |
450 |
|
uTrans = ( |
451 |
|
& 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) |
454 |
|
& *rhoFacC(k) |
455 |
|
& )*halfRL*_dyG(i,j,bi,bj)*deepFacF(k) |
456 |
|
flx_EW(i,j) = uTrans*(wFld(i,j)+wFld(i-1,j))*halfRL |
457 |
|
c flx_EW(i,j)= |
458 |
|
c & uTrans*(wVel(i,j,k,bi,bj)+wVel(i-1,j,k,bi,bj))*halfRL |
459 |
|
ENDDO |
460 |
|
ENDDO |
461 |
|
C Advective Flux on Southern face |
462 |
|
DO j=jMin,jMax+1 |
463 |
|
DO i=iMin,iMax |
464 |
|
C transport through Southern face area: |
465 |
|
vTrans = ( |
466 |
|
& 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) |
469 |
|
& *rhoFacC(k) |
470 |
|
& )*halfRL*_dxG(i,j,bi,bj)*deepFacF(k) |
471 |
|
flx_NS(i,j) = vTrans*(wFld(i,j)+wFld(i,j-1))*halfRL |
472 |
|
c flx_NS(i,j)= |
473 |
|
c & vTrans*(wVel(i,j,k,bi,bj)+wVel(i,j-1,k,bi,bj))*halfRL |
474 |
|
ENDDO |
475 |
|
ENDDO |
476 |
|
ENDIF |
477 |
|
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 |
480 |
|
DO i=iMin,iMax |
481 |
|
C NH in p-coord.: advect wSpeed [m/s] with rTrans |
482 |
|
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: |
486 |
|
rTrans = halfRL* |
487 |
|
& ( wVel(i,j, k ,bi,bj)*deepFac2F( k )*rhoFacF( k ) |
488 |
|
& +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 |
506 |
|
ENDIF |
507 |
|
IF ( k.GT.1 .OR. selectNHfreeSurf.GE.1 ) THEN |
508 |
|
C Tendency is minus divergence of advective fluxes: |
509 |
|
C anelastic: all transports & advect. fluxes are scaled by rhoFac |
510 |
|
DO j=jMin,jMax |
511 |
|
DO i=iMin,iMax |
512 |
|
gW(i,j,k,bi,bj) = |
513 |
|
& -( ( flx_EW(i+1,j)-flx_EW(i,j) ) |
514 |
|
& + ( flx_NS(i,j+1)-flx_NS(i,j) ) |
515 |
|
& + ( flx_Dn(i,j)-flxAdvUp(i,j) )*rkSign*wUnit2rVel(k) |
516 |
|
& )*recip_rA(i,j,bi,bj)*recip_rThickC(i,j) |
517 |
|
& *recip_deepFac2F(k)*recip_rhoFacF(k) |
518 |
|
ENDDO |
519 |
|
ENDDO |
520 |
|
ENDIF |
521 |
|
|
522 |
|
DO j=jMin,jMax |
523 |
|
DO i=iMin,iMax |
524 |
|
C-- prepare for next level (k+1) |
525 |
|
flxAdvUp(i,j)=flx_Dn(i,j) |
526 |
|
ENDDO |
527 |
|
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 |
539 |
|
|
540 |
|
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
541 |
|
|
542 |
|
IF ( useNHMTerms .AND. k.GT.1 ) THEN |
543 |
|
CALL MOM_W_METRIC_NH( |
544 |
|
I bi,bj,k, |
545 |
|
I uVel, vVel, |
546 |
|
O gwAdd, |
547 |
|
I myThid ) |
548 |
|
DO j=jMin,jMax |
549 |
|
DO i=iMin,iMax |
550 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
551 |
|
ENDDO |
552 |
|
ENDDO |
553 |
|
ENDIF |
554 |
|
IF ( use3dCoriolis .AND. k.GT.1 ) THEN |
555 |
|
CALL MOM_W_CORIOLIS_NH( |
556 |
|
I bi,bj,k, |
557 |
|
I uVel, vVel, |
558 |
|
O gwAdd, |
559 |
|
I myThid ) |
560 |
|
DO j=jMin,jMax |
561 |
|
DO i=iMin,iMax |
562 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwAdd(i,j) |
563 |
|
ENDDO |
564 |
|
ENDDO |
565 |
|
ENDIF |
566 |
|
|
567 |
|
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: |
585 |
|
IF ( momViscosity .AND. momDissip_In_AB) THEN |
586 |
|
DO j=jMin,jMax |
587 |
|
DO i=iMin,iMax |
588 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
589 |
|
ENDDO |
590 |
|
ENDDO |
591 |
|
ENDIF |
592 |
|
|
593 |
|
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. |
595 |
|
#ifdef ALLOW_ADAMSBASHFORTH_3 |
596 |
|
CALL ADAMS_BASHFORTH3( |
597 |
|
I bi, bj, k, |
598 |
|
U gW, gwNm, |
599 |
|
I nHydStartAB, myIter, myThid ) |
600 |
|
#else /* ALLOW_ADAMSBASHFORTH_3 */ |
601 |
|
CALL ADAMS_BASHFORTH2( |
602 |
|
I bi, bj, k, |
603 |
|
U gW, gwNm1, |
604 |
|
I nHydStartAB, myIter, myThid ) |
605 |
|
#endif /* ALLOW_ADAMSBASHFORTH_3 */ |
606 |
|
|
607 |
|
C-- Dissipation term outside the Adams-Bashforth: |
608 |
|
IF ( momViscosity .AND. .NOT.momDissip_In_AB ) THEN |
609 |
|
DO j=jMin,jMax |
610 |
|
DO i=iMin,iMax |
611 |
|
gW(i,j,k,bi,bj) = gW(i,j,k,bi,bj)+gwDiss(i,j) |
612 |
|
ENDDO |
613 |
|
ENDDO |
614 |
|
ENDIF |
615 |
|
|
616 |
|
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 |
629 |
END |
END |
|
|
|