/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.4 by mlosch, Tue Apr 24 02:59:31 2007 UTC revision 1.16 by gforget, Tue Mar 16 19:21:31 2010 UTC
# Line 4  C $Name$ Line 4  C $Name$
4  #include "SEAICE_OPTIONS.h"  #include "SEAICE_OPTIONS.h"
5    
6  CStartOfInterface  CStartOfInterface
7        SUBROUTINE SEAICE_CALC_STRAINRATES(        SUBROUTINE SEAICE_CALC_STRAINRATES(
8       I     uFld, vFld,       I     uFld, vFld,
9       O     e11, e22, e12,       O     e11Loc, e22Loc, e12Loc,
10       I     myThid )       I     iStep, myTime, myIter, myThid )
11  C     /==========================================================\  C     /==========================================================\
12  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |
13  C     | o compute strain rates from ice velocities               |  C     | o compute strain rates from ice velocities               |
# Line 22  C     === Global variables === Line 22  C     === Global variables ===
22  #include "PARAMS.h"  #include "PARAMS.h"
23  #include "GRID.h"  #include "GRID.h"
24  #include "SEAICE_PARAMS.h"  #include "SEAICE_PARAMS.h"
25    #include "SEAICE.h"
26    
27  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
28  # include "tamc.h"  # include "tamc.h"
29  #endif  #endif
30    
31  C     === Routine arguments ===  C     === Routine arguments ===
32  C     myThid - Thread no. that called this routine.  C     iStep  :: Sub-time-step number
33    C     myTime :: Simulation time
34    C     myIter :: Simulation timestep number
35    C     myThid :: My Thread Id. number
36          INTEGER iStep
37          _RL     myTime
38          INTEGER myIter
39        INTEGER myThid        INTEGER myThid
40  C     ice velocities  C     ice velocities
41        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)        _RL uFld   (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)
42        _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)        _RL vFld   (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)
43  C     strain rate tensor  C     strain rate tensor
44        _RL e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
45        _RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
46        _RL e12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e12Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
47  CEndOfInterface  CEndOfInterface
48    
49  #ifdef SEAICE_CGRID  #ifdef SEAICE_CGRID
# Line 44  CEndOfInterface Line 51  CEndOfInterface
51  C     === Local variables ===  C     === Local variables ===
52  C     i,j,bi,bj - Loop counters  C     i,j,bi,bj - Loop counters
53        INTEGER i, j, bi, bj        INTEGER i, j, bi, bj
54  C  hFacU, hFacV - determine the no-slip boundary condition  C     hFacU, hFacV - determine the no-slip boundary condition
55        INTEGER k        INTEGER k
56        _RS hFacU, hFacV        _RS hFacU, hFacV, noSlipFac
57    C     auxillary variables that help writing code that
58    C     vectorizes even after TAFization
59          _RL dudx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
60          _RL dvdy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
61          _RL dudy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
62          _RL dvdx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
63          _RL uave (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
64          _RL vave (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
65    
66        k = 1        k = 1
67          noSlipFac = 0. _d 0
68          IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
69  C  C
70    #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION
71        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
72         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
73          DO j=1-Oly+1,sNy+Oly-1  C     abbreviations on C-points, need to do them in separate loops
74           DO i=1-Olx+1,sNx+Olx-1  C     for vectorization
75  C NOW EVALUATE STRAIN RATES          DO j=1-Oly,sNy+Oly-1
76            e11(I,J,bi,bj)= _recip_dxF(I,J,bi,bj) *           DO i=1-Olx,sNx+Olx-1
77              dudx(I,J) = _recip_dxF(I,J,bi,bj) *
78         &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
79              uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj))
80             ENDDO
81            ENDDO
82            DO j=1-Oly,sNy+Oly-1
83             DO i=1-Olx,sNx+Olx-1
84              dvdy(I,J) = _recip_dyF(I,J,bi,bj) *
85         &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
86              vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
87             ENDDO
88            ENDDO
89    C     evaluate strain rates at C-points
90            DO j=1-Oly,sNy+Oly-1
91             DO i=1-Olx,sNx+Olx-1
92              e11Loc(I,J,bi,bj) = dudx(I,J) + vave(I,J) * k2AtC(I,J,bi,bj)
93              e22Loc(I,J,bi,bj) = dvdy(I,J) + uave(I,J) * k1AtC(I,J,bi,bj)
94             ENDDO
95            ENDDO
96    C     abbreviations at Z-points, need to do them in separate loops
97    C     for vectorization
98            DO j=1-Oly+1,sNy+Oly
99             DO i=1-Olx+1,sNx+Olx
100              dudy(I,J) = ( uFld(I,J,bi,bj) - uFld(I  ,J-1,bi,bj) )
101         &         * _recip_dyU(I,J,bi,bj)
102              uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
103             ENDDO
104            ENDDO
105            DO j=1-Oly+1,sNy+Oly
106             DO i=1-Olx+1,sNx+Olx
107              dvdx(I,J) = ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) )
108         &         * _recip_dxV(I,J,bi,bj)
109              vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))
110             ENDDO
111            ENDDO
112    C     evaluate strain rates at Z-points
113            DO j=1-Oly+1,sNy+Oly
114             DO i=1-Olx+1,sNx+Olx
115              hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
116              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
117              e12Loc(I,J,bi,bj) = 0.5 _d 0 * (
118         &         dudy(I,J) + dvdx(I,J)
119         &         - k1AtZ(I,J,bi,bj) * vave(I,J)
120         &         - k2AtZ(I,J,bi,bj) * uave(I,J)
121         &         )
122         &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)
123         &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)
124         &         + 2.0 _d 0 * noSlipFac * (
125         &           2.0 _d 0 * uave(I,J) * _recip_dyU(I,J,bi,bj) * hFacU
126         &         + 2.0 _d 0 * vave(I,J) * _recip_dxV(I,J,bi,bj) * hFacV
127         &         )
128    C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
129    C     accross the boundary; this is already accomplished by masking so
130    C     that the following lines are not necessary
131    c$$$     &         - hFacV * k1AtZ(I,J,bi,bj) * vave(I,J)
132    c$$$     &         - hFacU * k2AtZ(I,J,bi,bj) * uave(I,J)
133             ENDDO
134            ENDDO
135    
136           ENDDO
137          ENDDO
138    #else
139    C     this the old and incomplete discretization, here I also erroneously
140    C     used finite-volumes to discretize the strain rates
141          DO bj=myByLo(myThid),myByHi(myThid)
142           DO bi=myBxLo(myThid),myBxHi(myThid)
143            DO j=1-Oly,sNy+Oly-1
144             DO i=1-Olx,sNx+Olx-1
145    C     evaluate strain rates
146              e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
147       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))
148       &         -HALF*       &         -HALF*
149       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))
150       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere
151            e22(I,J,bi,bj)= _recip_dyF(I,J,bi,bj) *            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
152       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))
153  C     one metric term is missing  C     one metric term is missing
154            e12(I,J,bi,bj)=HALF*(           ENDDO
155            ENDDO
156            DO j=1-Oly+1,sNy+Oly
157             DO i=1-Olx+1,sNx+Olx
158              e12Loc(I,J,bi,bj) = HALF*(
159       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)
160       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)
161       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)
# Line 80  C     one metric term is missing Line 172  C     one metric term is missing
172           ENDDO           ENDDO
173          ENDDO          ENDDO
174          IF ( SEAICE_no_slip ) THEN          IF ( SEAICE_no_slip ) THEN
175  C     no slip boundary conditions apply only to e12  C     no slip boundary conditions apply only to e12Loc
176           DO j=1-Oly+1,sNy+Oly-1           DO j=1-Oly+1,sNy+Oly
177            DO i=1-Olx+1,sNx+Olx-1            DO i=1-Olx+1,sNx+Olx
178             hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)             hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
179             hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)             hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
180    
181             e12(I,J,bi,bj)= e12(I,J,bi,bj)             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)
182       &          + recip_rAz(i,j,bi,bj) *       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *
183       &          ( hFacU * ( _dxC(i,j  ,bi,bj)*uFld(i,j  ,bi,bj)       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,bi,bj)
184       &                    + _dxC(i,j-1,bi,bj)*uFld(i,j-1,bi,bj) )       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) )
185       &          + hFacV * ( _dyC(i  ,j,bi,bj)*vFld(i  ,j,bi,bj)       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj)
186       &                    + _dyC(i-1,j,bi,bj)*vFld(i-1,j,bi,bj) ) )       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) )
187       &         - hFacU       &         - hFacU
188       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))
189       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )
190       &         *recip_rSphere       &         *recip_rSphere
# Line 103  C     one metric term is missing Line 195  C     one metric term is missing
195          ENDIF          ENDIF
196         ENDDO         ENDDO
197        ENDDO        ENDDO
198    #endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */
199    
200    #ifdef ALLOW_AUTODIFF_TAMC
201    #ifdef SEAICE_DYN_STABLE_ADJOINT
202    cgf zero out adjoint fields to stabilize pkg/seaice dyna. adjoint
203          CALL ZERO_ADJ( 1, e11Loc, myThid)
204          CALL ZERO_ADJ( 1, e12Loc, myThid)
205          CALL ZERO_ADJ( 1, e22Loc, myThid)
206    #endif
207    #endif /* ALLOW_AUTODIFF_TAMC */
208    
209  #endif /* SEAICE_ALLOW_DYNAMICS */  #endif /* SEAICE_ALLOW_DYNAMICS */
210  #endif /* SEAICE_CGRID */  #endif /* SEAICE_CGRID */
211        RETURN        RETURN
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