model/src/solve_for_pressure.F

C $Header: /u/gcmpack/models/MITgcmUV/model/src/solve_for_pressure.F,v 1.22 2001/05/29 14:01:37 adcroft Exp $
C $Name:  $

#include "CPP_OPTIONS.h"

CStartOfInterface
      SUBROUTINE SOLVE_FOR_PRESSURE( myThid )
C     /==========================================================\
C     | SUBROUTINE SOLVE_FOR_PRESSURE                            |
C     | o Controls inversion of two and/or three-dimensional     |
C     |   elliptic problems for the pressure field.              |
C     \==========================================================/
      IMPLICIT NONE

C     == Global variables
#include "SIZE.h"
#include "EEPARAMS.h"
#include "PARAMS.h"
#include "DYNVARS.h"
#include "GRID.h"
#include "SURFACE.h"
#ifdef ALLOW_NONHYDROSTATIC
#include "CG3D.h"
#include "GW.h"
#endif
#ifdef ALLOW_OBCS
#include "OBCS.h"
#endif
#include "SOLVE_FOR_PRESSURE.h"

C     == Routine arguments ==
C     myThid - Number of this instance of SOLVE_FOR_PRESSURE
      INTEGER myThid
CEndOfInterface

C     == Local variables ==
      INTEGER i,j,k,bi,bj
      _RS uf(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RS vf(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
      _RL firstResidual,lastResidual
      INTEGER numIters

C--   Save previous solution & Initialise Vector solution and source term :
      DO bj=myByLo(myThid),myByHi(myThid)
       DO bi=myBxLo(myThid),myBxHi(myThid)
        DO j=1-OLy,sNy+OLy
         DO i=1-OLx,sNx+OLx
          etaNm1(i,j,bi,bj) = etaN(i,j,bi,bj)
          cg2d_x(i,j,bi,bj) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj)
          cg2d_b(i,j,bi,bj) = 0.
#ifdef USE_NATURAL_BCS
     &     + freeSurfFac*_rA(i,j,bi,bj)*
     &       EmPmR(I,J,bi,bj)/deltaTMom
#endif
         ENDDO
        ENDDO
       ENDDO
      ENDDO

      DO bj=myByLo(myThid),myByHi(myThid)
       DO bi=myBxLo(myThid),myBxHi(myThid)
        DO K=Nr,1,-1
         DO j=1,sNy+1
          DO i=1,sNx+1
           uf(i,j) = _dyG(i,j,bi,bj)
     &      *drF(k)*_hFacW(i,j,k,bi,bj)
           vf(i,j) = _dxG(i,j,bi,bj)
     &      *drF(k)*_hFacS(i,j,k,bi,bj)
          ENDDO
         ENDDO
         CALL CALC_DIV_GHAT(
     I       bi,bj,1,sNx,1,sNy,K,
     I       uf,vf,
     U       cg2d_b,
     I       myThid)
        ENDDO
       ENDDO
      ENDDO

C--   Add source term arising from w=d/dt (p_s + p_nh)
      DO bj=myByLo(myThid),myByHi(myThid)
       DO bi=myBxLo(myThid),myBxHi(myThid)
#ifdef ALLOW_NONHYDROSTATIC
        DO j=1,sNy
         DO i=1,sNx
          cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj)
     &      -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom
     &        *( etaN(i,j,bi,bj)
     &          +cg3d_x(i,j,1,bi,bj)*horiVertRatio/gravity )
          cg3d_b(i,j,1,bi,bj) = cg3d_b(i,j,1,bi,bj)
     &      -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom
     &        *( etaN(i,j,bi,bj)
     &          +cg3d_x(i,j,1,bi,bj)*horiVertRatio/gravity )
C-jmc
c    &      -freeSurfFac*_rA(i,j,bi,bj)*recip_Bo(i,j,bi,bj)
c    &        *( cg2d_x(i,j,bi,bj) + cg3d_x(i,j,1,bi,bj) )
c    &        /deltaTMom/deltaTMom
C-jmc
         ENDDO
        ENDDO
#else
        DO j=1,sNy
         DO i=1,sNx
          cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj)
     &      -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom
     &        * etaN(i,j,bi,bj)
         ENDDO
        ENDDO
#endif

#ifdef ALLOW_OBCS
        IF (useOBCS) THEN
         DO i=1,sNx
C Northern boundary
          IF (OB_Jn(I,bi,bj).NE.0) THEN
           cg2d_b(I,OB_Jn(I,bi,bj),bi,bj)=0.
          ENDIF
C Southern boundary
          IF (OB_Js(I,bi,bj).NE.0) THEN
           cg2d_b(I,OB_Js(I,bi,bj),bi,bj)=0.
          ENDIF
         ENDDO
         DO j=1,sNy
C Eastern boundary
          IF (OB_Ie(J,bi,bj).NE.0) THEN
           cg2d_b(OB_Ie(J,bi,bj),J,bi,bj)=0.
          ENDIF
C Western boundary
          IF (OB_Iw(J,bi,bj).NE.0) THEN
           cg2d_b(OB_Iw(J,bi,bj),J,bi,bj)=0.
          ENDIF
         ENDDO
        ENDIF
#endif
       ENDDO
      ENDDO

#ifndef EXCLUDE_DEBUGMODE
       CALL DEBUG_STATS_RL(1,cg2d_b,'cg2d_b (SOLVE_FOR_PRESSURE)',
     &                        myThid)
#endif

C--   Find the surface pressure using a two-dimensional conjugate
C--   gradient solver.
C     see CG2D.h for the interface to this routine.
      firstResidual=0.
      lastResidual=0.
      numIters=cg2dMaxIters
      CALL CG2D(
     U           cg2d_b,
     U           cg2d_x,
     O           firstResidual,
     O           lastResidual,
     U           numIters,
     I           myThid )
      _EXCH_XY_R8(cg2d_x, myThid )

#ifndef EXCLUDE_DEBUGMODE
       CALL DEBUG_STATS_RL(1,cg2d_x,'cg2d_x (SOLVE_FOR_PRESSURE)',
     &                        myThid)
#endif

      _BEGIN_MASTER( myThid )
       WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ',
     &                               0, firstResidual
       WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ',
     &                         numIters, lastResidual
      _END_MASTER( )

C--   Transfert the 2D-solution to "etaN" :
      DO bj=myByLo(myThid),myByHi(myThid)
       DO bi=myBxLo(myThid),myBxHi(myThid)
        DO j=1-OLy,sNy+OLy
         DO i=1-OLx,sNx+OLx
          etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj)*cg2d_x(i,j,bi,bj)
         ENDDO
        ENDDO
       ENDDO
      ENDDO

#ifdef ALLOW_NONHYDROSTATIC
      IF ( nonHydrostatic ) THEN

C--   Solve for a three-dimensional pressure term (NH or IGW or both ).
C     see CG3D.h for the interface to this routine.
       DO bj=myByLo(myThid),myByHi(myThid)
        DO bi=myBxLo(myThid),myBxHi(myThid)
         DO j=1,sNy+1
          DO i=1,sNx+1
           uf(i,j)=-_recip_dxC(i,j,bi,bj)*
     &         (cg2d_x(i,j,bi,bj)-cg2d_x(i-1,j,bi,bj))
           vf(i,j)=-_recip_dyC(i,j,bi,bj)*
     &         (cg2d_x(i,j,bi,bj)-cg2d_x(i,j-1,bi,bj))
          ENDDO
         ENDDO

#ifdef ALLOW_OBCS
         IF (useOBCS) THEN
          DO i=1,sNx+1
C Northern boundary
          IF (OB_Jn(I,bi,bj).NE.0) THEN
           vf(I,OB_Jn(I,bi,bj))=0.
          ENDIF
C Southern boundary
          IF (OB_Js(I,bi,bj).NE.0) THEN
           vf(I,OB_Js(I,bi,bj)+1)=0.
          ENDIF
          ENDDO
          DO j=1,sNy+1
C Eastern boundary
          IF (OB_Ie(J,bi,bj).NE.0) THEN
           uf(OB_Ie(J,bi,bj),J)=0.
          ENDIF
C Western boundary
          IF (OB_Iw(J,bi,bj).NE.0) THEN
           uf(OB_Iw(J,bi,bj)+1,J)=0.
          ENDIF
          ENDDO
         ENDIF
#endif

         K=1
         DO j=1,sNy
          DO i=1,sNx
           cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj)
     &       +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j)
     &       -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j)
     &       +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1)
     &       -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j )
     &       +( freeSurfFac*etaN(i,j,bi,bj)/deltaTMom
     &          -wVel(i,j,k+1,bi,bj)
     &        )*_rA(i,j,bi,bj)/deltaTmom
          ENDDO
         ENDDO
         DO K=2,Nr-1
          DO j=1,sNy
           DO i=1,sNx
            cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj)
     &       +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j)
     &       -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j)
     &       +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1)
     &       -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j )
     &       +( wVel(i,j,k  ,bi,bj)
     &         -wVel(i,j,k+1,bi,bj)
     &        )*_rA(i,j,bi,bj)/deltaTmom

           ENDDO
          ENDDO
         ENDDO
         K=Nr
         DO j=1,sNy
          DO i=1,sNx
            cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj)
     &       +dRF(K)*dYG(i+1,j,bi,bj)*hFacW(i+1,j,k,bi,bj)*uf(i+1,j)
     &       -dRF(K)*dYG( i ,j,bi,bj)*hFacW( i ,j,k,bi,bj)*uf( i ,j)
     &       +dRF(K)*dXG(i,j+1,bi,bj)*hFacS(i,j+1,k,bi,bj)*vf(i,j+1)
     &       -dRF(K)*dXG(i, j ,bi,bj)*hFacS(i, j ,k,bi,bj)*vf(i, j )
     &       +( wVel(i,j,k  ,bi,bj)
     &        )*_rA(i,j,bi,bj)/deltaTmom

          ENDDO
         ENDDO

#ifdef ALLOW_OBCS
         IF (useOBCS) THEN
          DO K=1,Nr
          DO i=1,sNx
C Northern boundary
          IF (OB_Jn(I,bi,bj).NE.0) THEN
           cg3d_b(I,OB_Jn(I,bi,bj),K,bi,bj)=0.
          ENDIF
C Southern boundary
          IF (OB_Js(I,bi,bj).NE.0) THEN
           cg3d_b(I,OB_Js(I,bi,bj),K,bi,bj)=0.
          ENDIF
          ENDDO
          DO j=1,sNy
C Eastern boundary
          IF (OB_Ie(J,bi,bj).NE.0) THEN
           cg3d_b(OB_Ie(J,bi,bj),J,K,bi,bj)=0.
          ENDIF
C Western boundary
          IF (OB_Iw(J,bi,bj).NE.0) THEN
           cg3d_b(OB_Iw(J,bi,bj),J,K,bi,bj)=0.
          ENDIF
          ENDDO
          ENDDO
         ENDIF
#endif

        ENDDO ! bi
       ENDDO ! bj

       CALL CG3D( myThid )
       _EXCH_XYZ_R8(cg3d_x, myThid )

      ENDIF
#endif

      RETURN
      END
1	adcroft	1.23	C $Header: /u/gcmpack/models/MITgcmUV/model/src/solve_for_pressure.F,v 1.22 2001/05/29 14:01:37 adcroft Exp $
2	heimbach	1.21	C $Name: $
3	cnh	1.1
4	adcroft	1.5	#include "CPP_OPTIONS.h"
5	cnh	1.1
6			CStartOfInterface
7			SUBROUTINE SOLVE_FOR_PRESSURE( myThid )
8			C /==========================================================\
9			C \| SUBROUTINE SOLVE_FOR_PRESSURE \|
10			C \| o Controls inversion of two and/or three-dimensional \|
11			C \| elliptic problems for the pressure field. \|
12			C \==========================================================/
13	adcroft	1.8	IMPLICIT NONE
14	cnh	1.1
15	cnh	1.4	C == Global variables
16			#include "SIZE.h"
17			#include "EEPARAMS.h"
18			#include "PARAMS.h"
19			#include "DYNVARS.h"
20	adcroft	1.12	#include "GRID.h"
21	jmc	1.17	#include "SURFACE.h"
22	adcroft	1.9	#ifdef ALLOW_NONHYDROSTATIC
23			#include "CG3D.h"
24			#include "GW.h"
25	adcroft	1.12	#endif
26	adcroft	1.11	#ifdef ALLOW_OBCS
27	adcroft	1.9	#include "OBCS.h"
28	adcroft	1.11	#endif
29	adcroft	1.22	#include "SOLVE_FOR_PRESSURE.h"
30	cnh	1.4
31	cnh	1.1	C == Routine arguments ==
32			C myThid - Number of this instance of SOLVE_FOR_PRESSURE
33			INTEGER myThid
34			CEndOfInterface
35	cnh	1.4
36	adcroft	1.22	C == Local variables ==
37	cnh	1.6	INTEGER i,j,k,bi,bj
38	adcroft	1.9	_RS uf(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
39			_RS vf(1-Olx:sNx+Olx,1-Oly:sNy+Oly)
40	adcroft	1.22	_RL firstResidual,lastResidual
41	adcroft	1.19	INTEGER numIters
42	jmc	1.17
43			C-- Save previous solution & Initialise Vector solution and source term :
44			DO bj=myByLo(myThid),myByHi(myThid)
45			DO bi=myBxLo(myThid),myBxHi(myThid)
46			DO j=1-OLy,sNy+OLy
47			DO i=1-OLx,sNx+OLx
48			etaNm1(i,j,bi,bj) = etaN(i,j,bi,bj)
49	jmc	1.18	cg2d_x(i,j,bi,bj) = Bo_surf(i,j,bi,bj)*etaN(i,j,bi,bj)
50	jmc	1.17	cg2d_b(i,j,bi,bj) = 0.
51			#ifdef USE_NATURAL_BCS
52	jmc	1.18	& + freeSurfFac_rA(i,j,bi,bj)
53	jmc	1.17	& EmPmR(I,J,bi,bj)/deltaTMom
54			#endif
55			ENDDO
56			ENDDO
57			ENDDO
58			ENDDO
59	adcroft	1.12
60			DO bj=myByLo(myThid),myByHi(myThid)
61			DO bi=myBxLo(myThid),myBxHi(myThid)
62			DO K=Nr,1,-1
63			DO j=1,sNy+1
64			DO i=1,sNx+1
65			uf(i,j) = _dyG(i,j,bi,bj)
66			& drF(k)_hFacW(i,j,k,bi,bj)
67			vf(i,j) = _dxG(i,j,bi,bj)
68			& drF(k)_hFacS(i,j,k,bi,bj)
69			ENDDO
70			ENDDO
71			CALL CALC_DIV_GHAT(
72			I bi,bj,1,sNx,1,sNy,K,
73			I uf,vf,
74	jmc	1.17	U cg2d_b,
75	adcroft	1.12	I myThid)
76			ENDDO
77			ENDDO
78			ENDDO
79	cnh	1.4
80	adcroft	1.12	C-- Add source term arising from w=d/dt (p_s + p_nh)
81			DO bj=myByLo(myThid),myByHi(myThid)
82			DO bi=myBxLo(myThid),myBxHi(myThid)
83	adcroft	1.13	#ifdef ALLOW_NONHYDROSTATIC
84	adcroft	1.12	DO j=1,sNy
85			DO i=1,sNx
86			cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj)
87	jmc	1.18	& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom
88			& *( etaN(i,j,bi,bj)
89			& +cg3d_x(i,j,1,bi,bj)*horiVertRatio/gravity )
90	adcroft	1.13	cg3d_b(i,j,1,bi,bj) = cg3d_b(i,j,1,bi,bj)
91	jmc	1.18	& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom
92			& *( etaN(i,j,bi,bj)
93			& +cg3d_x(i,j,1,bi,bj)*horiVertRatio/gravity )
94			C-jmc
95			c & -freeSurfFac_rA(i,j,bi,bj)recip_Bo(i,j,bi,bj)
96			c & *( cg2d_x(i,j,bi,bj) + cg3d_x(i,j,1,bi,bj) )
97			c & /deltaTMom/deltaTMom
98			C-jmc
99	adcroft	1.12	ENDDO
100			ENDDO
101	adcroft	1.13	#else
102	adcroft	1.12	DO j=1,sNy
103			DO i=1,sNx
104	adcroft	1.13	cg2d_b(i,j,bi,bj) = cg2d_b(i,j,bi,bj)
105	jmc	1.18	& -freeSurfFac*_rA(i,j,bi,bj)/deltaTMom/deltaTMom
106			& * etaN(i,j,bi,bj)
107	adcroft	1.12	ENDDO
108			ENDDO
109			#endif
110
111			#ifdef ALLOW_OBCS
112	adcroft	1.14	IF (useOBCS) THEN
113	adcroft	1.12	DO i=1,sNx
114			C Northern boundary
115			IF (OB_Jn(I,bi,bj).NE.0) THEN
116			cg2d_b(I,OB_Jn(I,bi,bj),bi,bj)=0.
117			ENDIF
118			C Southern boundary
119			IF (OB_Js(I,bi,bj).NE.0) THEN
120			cg2d_b(I,OB_Js(I,bi,bj),bi,bj)=0.
121			ENDIF
122			ENDDO
123			DO j=1,sNy
124			C Eastern boundary
125			IF (OB_Ie(J,bi,bj).NE.0) THEN
126			cg2d_b(OB_Ie(J,bi,bj),J,bi,bj)=0.
127			ENDIF
128			C Western boundary
129			IF (OB_Iw(J,bi,bj).NE.0) THEN
130			cg2d_b(OB_Iw(J,bi,bj),J,bi,bj)=0.
131			ENDIF
132			ENDDO
133			ENDIF
134			#endif
135			ENDDO
136			ENDDO
137
138	adcroft	1.23	#ifndef EXCLUDE_DEBUGMODE
139			CALL DEBUG_STATS_RL(1,cg2d_b,'cg2d_b (SOLVE_FOR_PRESSURE)',
140			& myThid)
141			#endif
142	adcroft	1.12
143	cnh	1.1	C-- Find the surface pressure using a two-dimensional conjugate
144			C-- gradient solver.
145	adcroft	1.22	C see CG2D.h for the interface to this routine.
146			firstResidual=0.
147			lastResidual=0.
148	adcroft	1.19	numIters=cg2dMaxIters
149	cnh	1.1	CALL CG2D(
150	adcroft	1.22	U cg2d_b,
151	cnh	1.6	U cg2d_x,
152	adcroft	1.22	O firstResidual,
153			O lastResidual,
154	adcroft	1.19	U numIters,
155	cnh	1.1	I myThid )
156	adcroft	1.19	_EXCH_XY_R8(cg2d_x, myThid )
157	adcroft	1.23
158			#ifndef EXCLUDE_DEBUGMODE
159			CALL DEBUG_STATS_RL(1,cg2d_x,'cg2d_x (SOLVE_FOR_PRESSURE)',
160			& myThid)
161			#endif
162	cnh	1.1
163	adcroft	1.19	_BEGIN_MASTER( myThid )
164	heimbach	1.21	WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ',
165	adcroft	1.22	& 0, firstResidual
166	heimbach	1.21	WRITE(*,'(A,I6,1PE30.14)') ' CG2D iters, err = ',
167	adcroft	1.22	& numIters, lastResidual
168	adcroft	1.19	_END_MASTER( )
169	jmc	1.17
170			C-- Transfert the 2D-solution to "etaN" :
171			DO bj=myByLo(myThid),myByHi(myThid)
172			DO bi=myBxLo(myThid),myBxHi(myThid)
173			DO j=1-OLy,sNy+OLy
174			DO i=1-OLx,sNx+OLx
175	jmc	1.18	etaN(i,j,bi,bj) = recip_Bo(i,j,bi,bj)*cg2d_x(i,j,bi,bj)
176	jmc	1.17	ENDDO
177			ENDDO
178			ENDDO
179			ENDDO
180	adcroft	1.10
181	adcroft	1.9	#ifdef ALLOW_NONHYDROSTATIC
182			IF ( nonHydrostatic ) THEN
183
184			C-- Solve for a three-dimensional pressure term (NH or IGW or both ).
185			C see CG3D.h for the interface to this routine.
186			DO bj=myByLo(myThid),myByHi(myThid)
187			DO bi=myBxLo(myThid),myBxHi(myThid)
188			DO j=1,sNy+1
189			DO i=1,sNx+1
190	jmc	1.18	uf(i,j)=-_recip_dxC(i,j,bi,bj)*
191	adcroft	1.9	& (cg2d_x(i,j,bi,bj)-cg2d_x(i-1,j,bi,bj))
192	jmc	1.18	vf(i,j)=-_recip_dyC(i,j,bi,bj)*
193	adcroft	1.9	& (cg2d_x(i,j,bi,bj)-cg2d_x(i,j-1,bi,bj))
194			ENDDO
195			ENDDO
196
197	adcroft	1.12	#ifdef ALLOW_OBCS
198	adcroft	1.14	IF (useOBCS) THEN
199	adcroft	1.9	DO i=1,sNx+1
200			C Northern boundary
201			IF (OB_Jn(I,bi,bj).NE.0) THEN
202			vf(I,OB_Jn(I,bi,bj))=0.
203			ENDIF
204			C Southern boundary
205			IF (OB_Js(I,bi,bj).NE.0) THEN
206			vf(I,OB_Js(I,bi,bj)+1)=0.
207			ENDIF
208			ENDDO
209			DO j=1,sNy+1
210			C Eastern boundary
211			IF (OB_Ie(J,bi,bj).NE.0) THEN
212			uf(OB_Ie(J,bi,bj),J)=0.
213			ENDIF
214			C Western boundary
215			IF (OB_Iw(J,bi,bj).NE.0) THEN
216			uf(OB_Iw(J,bi,bj)+1,J)=0.
217			ENDIF
218			ENDDO
219			ENDIF
220	adcroft	1.12	#endif
221	adcroft	1.9
222	adcroft	1.12	K=1
223			DO j=1,sNy
224			DO i=1,sNx
225			cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj)
226			& +dRF(K)dYG(i+1,j,bi,bj)hFacW(i+1,j,k,bi,bj)*uf(i+1,j)
227			& -dRF(K)dYG( i ,j,bi,bj)hFacW( i ,j,k,bi,bj)*uf( i ,j)
228			& +dRF(K)dXG(i,j+1,bi,bj)hFacS(i,j+1,k,bi,bj)*vf(i,j+1)
229			& -dRF(K)dXG(i, j ,bi,bj)hFacS(i, j ,k,bi,bj)*vf(i, j )
230	jmc	1.18	& +( freeSurfFac*etaN(i,j,bi,bj)/deltaTMom
231			& -wVel(i,j,k+1,bi,bj)
232	adcroft	1.12	& )*_rA(i,j,bi,bj)/deltaTmom
233			ENDDO
234			ENDDO
235			DO K=2,Nr-1
236	adcroft	1.9	DO j=1,sNy
237			DO i=1,sNx
238			cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj)
239			& +dRF(K)dYG(i+1,j,bi,bj)hFacW(i+1,j,k,bi,bj)*uf(i+1,j)
240			& -dRF(K)dYG( i ,j,bi,bj)hFacW( i ,j,k,bi,bj)*uf( i ,j)
241			& +dRF(K)dXG(i,j+1,bi,bj)hFacS(i,j+1,k,bi,bj)*vf(i,j+1)
242			& -dRF(K)dXG(i, j ,bi,bj)hFacS(i, j ,k,bi,bj)*vf(i, j )
243	adcroft	1.12	& +( wVel(i,j,k ,bi,bj)
244			& -wVel(i,j,k+1,bi,bj)
245			& )*_rA(i,j,bi,bj)/deltaTmom
246
247	adcroft	1.9	ENDDO
248			ENDDO
249			ENDDO
250	adcroft	1.12	K=Nr
251			DO j=1,sNy
252			DO i=1,sNx
253			cg3d_b(i,j,k,bi,bj) = cg3d_b(i,j,k,bi,bj)
254			& +dRF(K)dYG(i+1,j,bi,bj)hFacW(i+1,j,k,bi,bj)*uf(i+1,j)
255			& -dRF(K)dYG( i ,j,bi,bj)hFacW( i ,j,k,bi,bj)*uf( i ,j)
256			& +dRF(K)dXG(i,j+1,bi,bj)hFacS(i,j+1,k,bi,bj)*vf(i,j+1)
257			& -dRF(K)dXG(i, j ,bi,bj)hFacS(i, j ,k,bi,bj)*vf(i, j )
258			& +( wVel(i,j,k ,bi,bj)
259			& )*_rA(i,j,bi,bj)/deltaTmom
260
261			ENDDO
262			ENDDO
263
264			#ifdef ALLOW_OBCS
265	adcroft	1.14	IF (useOBCS) THEN
266	adcroft	1.12	DO K=1,Nr
267			DO i=1,sNx
268			C Northern boundary
269			IF (OB_Jn(I,bi,bj).NE.0) THEN
270			cg3d_b(I,OB_Jn(I,bi,bj),K,bi,bj)=0.
271			ENDIF
272			C Southern boundary
273			IF (OB_Js(I,bi,bj).NE.0) THEN
274			cg3d_b(I,OB_Js(I,bi,bj),K,bi,bj)=0.
275			ENDIF
276			ENDDO
277			DO j=1,sNy
278			C Eastern boundary
279			IF (OB_Ie(J,bi,bj).NE.0) THEN
280			cg3d_b(OB_Ie(J,bi,bj),J,K,bi,bj)=0.
281			ENDIF
282			C Western boundary
283			IF (OB_Iw(J,bi,bj).NE.0) THEN
284			cg3d_b(OB_Iw(J,bi,bj),J,K,bi,bj)=0.
285			ENDIF
286			ENDDO
287			ENDDO
288			ENDIF
289			#endif
290	adcroft	1.9
291			ENDDO ! bi
292			ENDDO ! bj
293
294			CALL CG3D( myThid )
295	adcroft	1.10	_EXCH_XYZ_R8(cg3d_x, myThid )
296	adcroft	1.9
297			ENDIF
298			#endif
299	cnh	1.1
300			RETURN
301			END