/[MITgcm]/MITgcm/model/src/ini_cg2d.F
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revision 1.23 by adcroft, Wed Dec 9 16:11:52 1998 UTC revision 1.36 by jmc, Fri Jul 6 21:39:37 2001 UTC
# Line 1  Line 1 
1  C $Header$  C $Header$
2    C $Name$
3    
4  #include "CPP_OPTIONS.h"  #include "CPP_OPTIONS.h"
5    
 CStartOfInterface  
6        SUBROUTINE INI_CG2D( myThid )        SUBROUTINE INI_CG2D( myThid )
7  C     /==========================================================\  C     /==========================================================\
8  C     | SUBROUTINE INI_CG2D                                      |  C     | SUBROUTINE INI_CG2D                                      |
# Line 18  C     === Global variables === Line 18  C     === Global variables ===
18  #include "EEPARAMS.h"  #include "EEPARAMS.h"
19  #include "PARAMS.h"  #include "PARAMS.h"
20  #include "GRID.h"  #include "GRID.h"
21  #include "DYNVARS.h"  c#include "DYNVARS.h"
22    #include "SURFACE.h"
23  #include "CG2D.h"  #include "CG2D.h"
24    #ifdef ALLOW_OBCS
25  #include "OBCS.h"  #include "OBCS.h"
26    #endif
27    
28  C     === Routine arguments ===  C     === Routine arguments ===
29  C     myThid - Thread no. that called this routine.  C     myThid - Thread no. that called this routine.
30        INTEGER myThid        INTEGER myThid
 CEndOfInterface  
31    
32  C     === Local variables ===  C     === Local variables ===
33  C     xG, yG - Global coordinate location.  C     xG, yG - Global coordinate location.
# Line 34  C     iG, jG - Global coordinate index Line 36  C     iG, jG - Global coordinate index
36  C     bi,bj  - Loop counters  C     bi,bj  - Loop counters
37  C     faceArea - Temporary used to hold cell face areas.  C     faceArea - Temporary used to hold cell face areas.
38  C     I,J,K  C     I,J,K
39  C     myNorm - Work variable used in clculating normalisation factor  C     myNorm - Work variable used in calculating normalisation factor
40    C     sumArea - Work variable used to compute the total Domain Area
41        CHARACTER*(MAX_LEN_MBUF) msgBuf        CHARACTER*(MAX_LEN_MBUF) msgBuf
42        INTEGER bi, bj        INTEGER bi, bj
43        INTEGER I,  J, K        INTEGER I,  J, K
44        _RL     faceArea        _RL     faceArea
45        _RS     myNorm        _RS     myNorm
46          _RL     sumArea
47        _RL     aC, aCw, aCs        _RL     aC, aCw, aCs
48    
49  C--   Initialise laplace operator  C--   Initialise laplace operator
# Line 60  C     aS2d: integral in Z Ay/dY Line 64  C     aS2d: integral in Z Ay/dY
64             faceArea = _dyG(I,J,bi,bj)*drF(K)             faceArea = _dyG(I,J,bi,bj)*drF(K)
65       &               *_hFacW(I,J,K,bi,bj)       &               *_hFacW(I,J,K,bi,bj)
66             aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj) +             aW2d(I,J,bi,bj) = aW2d(I,J,bi,bj) +
67       &      gBaro*faceArea*recip_dxC(I,J,bi,bj)       &      implicSurfPress*implicDiv2DFlow
68         &           *faceArea*recip_dxC(I,J,bi,bj)
69             faceArea = _dxG(I,J,bi,bj)*drF(K)             faceArea = _dxG(I,J,bi,bj)*drF(K)
70       &               *_hFacS(I,J,K,bi,bj)       &               *_hFacS(I,J,K,bi,bj)
71             aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj) +             aS2d(I,J,bi,bj) = aS2d(I,J,bi,bj) +
72       &      gBaro*faceArea*recip_dyC(I,J,bi,bj)       &      implicSurfPress*implicDiv2DFlow
73         &           *faceArea*recip_dyC(I,J,bi,bj)
74            ENDDO            ENDDO
75           ENDDO           ENDDO
76          ENDDO          ENDDO
77          IF (openBoundaries) THEN  #ifdef ALLOW_OBCS
78            IF (useOBCS) THEN
79           DO I=1,sNx           DO I=1,sNx
80            IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj),bi,bj)=0.            IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj),bi,bj)=0.
81            IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj)+1,bi,bj)=0.            IF (OB_Jn(I,bi,bj).NE.0) aS2d(I,OB_Jn(I,bi,bj)+1,bi,bj)=0.
# Line 82  C     aS2d: integral in Z Ay/dY Line 89  C     aS2d: integral in Z Ay/dY
89            IF (OB_Iw(J,bi,bj).NE.0) aW2d(OB_Iw(J,bi,bj),J,bi,bj)=0.            IF (OB_Iw(J,bi,bj).NE.0) aW2d(OB_Iw(J,bi,bj),J,bi,bj)=0.
90           ENDDO           ENDDO
91          ENDIF          ENDIF
92    #endif
93          DO J=1,sNy          DO J=1,sNy
94           DO I=1,sNx           DO I=1,sNx
95            myNorm = MAX(ABS(aW2d(I,J,bi,bj)),myNorm)            myNorm = MAX(ABS(aW2d(I,J,bi,bj)),myNorm)
# Line 90  C     aS2d: integral in Z Ay/dY Line 98  C     aS2d: integral in Z Ay/dY
98          ENDDO          ENDDO
99         ENDDO         ENDDO
100        ENDDO        ENDDO
101        cg2dNbuf(1,myThid) = myNorm        _GLOBAL_MAX_R4( myNorm, myThid )
102        _GLOBAL_MAX_R4( cg2dNbuf, myNorm, myThid )        IF ( myNorm .NE. 0. _d 0 ) THEN
103        IF ( cg2dNbuf(1,1) .NE. 0. _d 0 ) THEN         myNorm = 1. _d 0/myNorm
        myNorm = 1. _d 0/cg2dNbuf(1,1)  
104        ELSE        ELSE
105         myNorm = 1. _d 0         myNorm = 1. _d 0
106        ENDIF        ENDIF
# Line 123  CcnhDebugStarts Line 130  CcnhDebugStarts
130  C     CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.1' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.1' , 1, myThid )
131  C     CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.1' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.1' , 1, myThid )
132  CcnhDebugEnds  CcnhDebugEnds
133        _EXCH_XY_R4(aW2d, myThid)  c     _EXCH_XY_R4(aW2d, myThid)
134        _EXCH_XY_R4(aS2d, myThid)  c     _EXCH_XY_R4(aS2d, myThid)
135          CALL EXCH_UV_XY_RS(aW2d,aS2d,.FALSE.,myThid)
136  CcnhDebugStarts  CcnhDebugStarts
137        CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.2' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( aW2d, 'AW2D INI_CG2D.2' , 1, myThid )
138        CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.2' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( aS2d, 'AS2D INI_CG2D.2' , 1, myThid )
139  CcnhDebugEnds  CcnhDebugEnds
140    
141    C-- Define the solver tolerance in the appropriate Unit :
142          cg2dNormaliseRHS = cg2dTargetResWunit.LE.0
143          IF (cg2dNormaliseRHS) THEN
144    C-  when using a normalisation of RHS, tolerance has no unit => no conversion
145            cg2dTolerance = cg2dTargetResidual
146          ELSE
147    C-  compute the total Area of the domain :
148            sumArea = 0.
149            DO bj=myByLo(myThid),myByHi(myThid)
150             DO bi=myBxLo(myThid),myBxHi(myThid)
151              DO j=1,sNy
152               DO i=1,sNx
153                 IF (Ro_surf(i,j,bi,bj).GT.R_low(i,j,bi,bj)) THEN
154                   sumArea = sumArea + rA(i,j,bi,bj)
155                 ENDIF
156               ENDDO
157              ENDDO
158             ENDDO
159            ENDDO
160    c       WRITE(*,*) ' mythid, sumArea = ', mythid, sumArea
161            _GLOBAL_SUM_R8( sumArea, myThid )
162    C-  convert Target-Residual (in W unit) to cg2d-solver residual unit [m^2/s^2]
163            cg2dTolerance = cg2dNorm * cg2dTargetResWunit
164         &                           * sumArea / deltaTMom
165            WRITE(*,'(2A,1P2E22.14)') ' ini_cg2d: ',
166         &          'sumArea,cg2dTolerance =', sumArea,cg2dTolerance
167          ENDIF
168        
169  C--   Initialise preconditioner  C--   Initialise preconditioner
170  C     Note. 20th May 1998  C     Note. 20th May 1998
171  C           I made a weird discovery! In the model paper we argue  C           I made a weird discovery! In the model paper we argue
# Line 151  C           defaults to 0.51 but can be Line 187  C           defaults to 0.51 but can be
187            pC(I,J,bi,bj) = 1. _d 0            pC(I,J,bi,bj) = 1. _d 0
188            aC = -(            aC = -(
189       &     aW2d(I,J,bi,bj) + aW2d(I+1,J  ,bi,bj)       &     aW2d(I,J,bi,bj) + aW2d(I+1,J  ,bi,bj)
190       &    +aS2d(I,J,bi,bj) + aS2D(I  ,J+1,bi,bj)       &    +aS2d(I,J,bi,bj) + aS2d(I  ,J+1,bi,bj)
191       &    +freeSurfFac*myNorm* horiVertRatio*       &    +freeSurfFac*myNorm*recip_Bo(I,J,bi,bj)*
192       &     rA(I,J,bi,bj)/deltaTMom/deltaTMom       &     rA(I,J,bi,bj)/deltaTMom/deltaTMom
193       &    )       &    )
194            aCs = -(            aCs = -(
195       &     aW2d(I,J-1,bi,bj) + aW2d(I+1,J-1,bi,bj)       &     aW2d(I,J-1,bi,bj) + aW2d(I+1,J-1,bi,bj)
196       &    +aS2d(I,J-1,bi,bj) + aS2d(I  ,J  ,bi,bj)       &    +aS2d(I,J-1,bi,bj) + aS2d(I  ,J  ,bi,bj)
197       &    +freeSurfFac*myNorm* horiVertRatio*       &    +freeSurfFac*myNorm*recip_Bo(I,J-1,bi,bj)*
198       &     rA(I,J-1,bi,bj)/deltaTMom/deltaTMom       &     rA(I,J-1,bi,bj)/deltaTMom/deltaTMom
199       &    )       &    )
200            aCw = -(            aCw = -(
201       &     aW2d(I-1,J,bi,bj) + aW2d(I  ,J  ,bi,bj)       &     aW2d(I-1,J,bi,bj) + aW2d(I  ,J  ,bi,bj)
202       &    +aS2d(I-1,J,bi,bj) + aS2d(I-1,J+1,bi,bj)       &    +aS2d(I-1,J,bi,bj) + aS2d(I-1,J+1,bi,bj)
203       &    +freeSurfFac*myNorm* horiVertRatio*       &    +freeSurfFac*myNorm*recip_Bo(I-1,J,bi,bj)*
204       &     rA(I-1,J,bi,bj)/deltaTMom/deltaTMom       &     rA(I-1,J,bi,bj)/deltaTMom/deltaTMom
205       &    )       &    )
206            IF ( aC .EQ. 0. ) THEN            IF ( aC .EQ. 0. ) THEN
207              pC(I,J,bi,bj) = 0. _d 0              pC(I,J,bi,bj) = 1. _d 0
208            ELSE            ELSE
209             pC(I,J,bi,bj) =  1. _d 0 / aC             pC(I,J,bi,bj) =  1. _d 0 / aC
210            ENDIF            ENDIF
# Line 193  C         pS(I,J,bi,bj) = 0. Line 229  C         pS(I,J,bi,bj) = 0.
229        ENDDO        ENDDO
230  C--   Update overlap regions  C--   Update overlap regions
231        _EXCH_XY_R4(pC, myThid)        _EXCH_XY_R4(pC, myThid)
232        _EXCH_XY_R4(pW, myThid)  c     _EXCH_XY_R4(pW, myThid)
233        _EXCH_XY_R4(pS, myThid)  c     _EXCH_XY_R4(pS, myThid)
234          CALL EXCH_UV_XY_RS(pW,pS,.FALSE.,myThid)
235  CcnhDebugStarts  CcnhDebugStarts
236        CALL PLOT_FIELD_XYRS( pC, 'pC   INI_CG2D.2' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( pC, 'pC   INI_CG2D.2' , 1, myThid )
237        CALL PLOT_FIELD_XYRS( pW, 'pW   INI_CG2D.2' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( pW, 'pW   INI_CG2D.2' , 1, myThid )
238        CALL PLOT_FIELD_XYRS( pS, 'pS   INI_CG2D.2' , 1, myThid )  C     CALL PLOT_FIELD_XYRS( pS, 'pS   INI_CG2D.2' , 1, myThid )
239  CcnhDebugEnds  CcnhDebugEnds
240    
 C--   Set default values for initial guess and RHS  
       IF ( startTime .EQ. 0 ) THEN  
        DO bj=myByLo(myThid),myByHi(myThid)  
         DO bi=myBxLo(myThid),myBxHi(myThid)  
          DO J=1,sNy  
           DO I=1,sNx  
            cg2d_x(I,J,bi,bj) = 0. _d 0  
            cg2d_b(I,J,bi,bj) = 0. _d 0  
 #ifdef INCLUDE_CD_CODE  
            cg2d_xNM1(I,J,bi,bj) = 0. _d 0  
 #endif  
           ENDDO  
          ENDDO  
         ENDDO  
        ENDDO  
 C--    Update overlap regions  
        _EXCH_XY_R8(cg2d_x, myThid)  
        _EXCH_XY_R8(cg2d_b, myThid)  
 #ifdef INCLUDE_CD_CODE  
        _EXCH_XY_R8(cg2d_xNM1, myThid)  
 #endif  
       ENDIF  
   
241        RETURN        RETURN
242        END        END
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