/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.16 by gforget, Tue Mar 16 19:21:31 2010 UTC revision 1.19 by jmc, Tue Mar 6 16:45:20 2012 UTC
# Line 2  C $Header$ Line 2  C $Header$
2  C $Name$  C $Name$
3    
4  #include "SEAICE_OPTIONS.h"  #include "SEAICE_OPTIONS.h"
5    #ifdef ALLOW_OBCS
6    # include "OBCS_OPTIONS.h"
7    #else
8    # define OBCS_UVICE_OLD
9    #endif
10    
11  CStartOfInterface  CBOP
12    C     !ROUTINE: SEAICE_CALC_STRAINRATES
13    C     !INTERFACE:
14        SUBROUTINE SEAICE_CALC_STRAINRATES(        SUBROUTINE SEAICE_CALC_STRAINRATES(
15       I     uFld, vFld,       I     uFld, vFld,
16       O     e11Loc, e22Loc, e12Loc,       O     e11Loc, e22Loc, e12Loc,
17       I     iStep, myTime, myIter, myThid )       I     iStep, myTime, myIter, myThid )
18  C     /==========================================================\  
19  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES                      |  C     !DESCRIPTION: \bv
20  C     | o compute strain rates from ice velocities               |  C     *==========================================================*
21  C     |==========================================================|  C     | SUBROUTINE  SEAICE_CALC_STRAINRATES
22  C     | written by Martin Losch, Apr 2007                        |  C     | o compute strain rates from ice velocities
23  C     \==========================================================/  C     *==========================================================*
24    C     | written by Martin Losch, Apr 2007
25    C     *==========================================================*
26    C     \ev
27    
28    C     !USES:
29        IMPLICIT NONE        IMPLICIT NONE
30    
31  C     === Global variables ===  C     === Global variables ===
# Line 21  C     === Global variables === Line 33  C     === Global variables ===
33  #include "EEPARAMS.h"  #include "EEPARAMS.h"
34  #include "PARAMS.h"  #include "PARAMS.h"
35  #include "GRID.h"  #include "GRID.h"
36    #include "SEAICE_SIZE.h"
37  #include "SEAICE_PARAMS.h"  #include "SEAICE_PARAMS.h"
38  #include "SEAICE.h"  #include "SEAICE.h"
39    
# Line 28  C     === Global variables === Line 41  C     === Global variables ===
41  # include "tamc.h"  # include "tamc.h"
42  #endif  #endif
43    
44    C     !INPUT/OUTPUT PARAMETERS:
45  C     === Routine arguments ===  C     === Routine arguments ===
46    C     uFld   :: ice velocity, u-component
47    C     vFld   :: ice velocity, v-component
48    C     e11Loc :: strain rate tensor, component 1,1
49    C     e22Loc :: strain rate tensor, component 2,2
50    C     e12Loc :: strain rate tensor, component 1,2
51  C     iStep  :: Sub-time-step number  C     iStep  :: Sub-time-step number
52  C     myTime :: Simulation time  C     myTime :: Simulation time
53  C     myIter :: Simulation timestep number  C     myIter :: Simulation timestep number
54  C     myThid :: My Thread Id. number  C     myThid :: My Thread Id. number
55          _RL uFld   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
56          _RL vFld   (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
57          _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
58          _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
59          _RL e12Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
60        INTEGER iStep        INTEGER iStep
61        _RL     myTime        _RL     myTime
62        INTEGER myIter        INTEGER myIter
63        INTEGER myThid        INTEGER myThid
64  C     ice velocities  CEOP
       _RL uFld   (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)  
       _RL vFld   (1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)  
 C     strain rate tensor  
       _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)  
       _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)  
       _RL e12Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)  
 CEndOfInterface  
65    
66  #ifdef SEAICE_CGRID  #ifdef SEAICE_CGRID
67  #ifdef SEAICE_ALLOW_DYNAMICS  #ifdef SEAICE_ALLOW_DYNAMICS
68    C     !LOCAL VARIABLES:
69  C     === Local variables ===  C     === Local variables ===
70  C     i,j,bi,bj - Loop counters  C     i,j,bi,bj :: Loop counters
71        INTEGER i, j, bi, bj        INTEGER i, j, bi, bj
72  C     hFacU, hFacV - determine the no-slip boundary condition  C     hFacU, hFacV :: determine the no-slip boundary condition
73        INTEGER k        INTEGER k
74        _RS hFacU, hFacV, noSlipFac        _RS hFacU, hFacV, noSlipFac
75  C     auxillary variables that help writing code that  C     auxillary variables that help writing code that
# Line 67  C     vectorizes even after TAFization Line 85  C     vectorizes even after TAFization
85        noSlipFac = 0. _d 0        noSlipFac = 0. _d 0
86        IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0        IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
87  C  C
 #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION  
88        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
89         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
90  C     abbreviations on C-points, need to do them in separate loops  C     abbreviations on C-points, need to do them in separate loops
91  C     for vectorization  C     for vectorization
92          DO j=1-Oly,sNy+Oly-1          DO j=1-OLy,sNy+OLy-1
93           DO i=1-Olx,sNx+Olx-1           DO i=1-OLx,sNx+OLx-1
94            dudx(I,J) = _recip_dxF(I,J,bi,bj) *            dudx(i,j) = _recip_dxF(i,j,bi,bj) *
95       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))       &         (uFld(i+1,j,bi,bj)-uFld(i,j,bi,bj))
96            uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I+1,J,bi,bj))            uave(i,j) = 0.5 _d 0 * (uFld(i,j,bi,bj)+uFld(i+1,j,bi,bj))
97           ENDDO           ENDDO
98          ENDDO          ENDDO
99          DO j=1-Oly,sNy+Oly-1          DO j=1-OLy,sNy+OLy-1
100           DO i=1-Olx,sNx+Olx-1           DO i=1-OLx,sNx+OLx-1
101            dvdy(I,J) = _recip_dyF(I,J,bi,bj) *            dvdy(i,j) = _recip_dyF(i,j,bi,bj) *
102       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))       &         (vFld(i,j+1,bi,bj)-vFld(i,j,bi,bj))
103            vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))            vave(i,j) = 0.5 _d 0 * (vFld(i,j,bi,bj)+vFld(i,j+1,bi,bj))
104           ENDDO           ENDDO
105          ENDDO          ENDDO
106  C     evaluate strain rates at C-points  C     evaluate strain rates at C-points
107          DO j=1-Oly,sNy+Oly-1          DO j=1-OLy,sNy+OLy-1
108           DO i=1-Olx,sNx+Olx-1           DO i=1-OLx,sNx+OLx-1
109            e11Loc(I,J,bi,bj) = dudx(I,J) + vave(I,J) * k2AtC(I,J,bi,bj)            e11Loc(i,j,bi,bj) = dudx(i,j) + vave(i,j) * k2AtC(i,j,bi,bj)
110            e22Loc(I,J,bi,bj) = dvdy(I,J) + uave(I,J) * k1AtC(I,J,bi,bj)            e22Loc(i,j,bi,bj) = dvdy(i,j) + uave(i,j) * k1AtC(i,j,bi,bj)
111           ENDDO           ENDDO
112          ENDDO          ENDDO
113    #ifndef OBCS_UVICE_OLD
114    C--     for OBCS: assume no gradient beyong OB
115            DO j=1-OLy,sNy+OLy-1
116             DO i=1-OLx,sNx+OLx-1
117              e11Loc(i,j,bi,bj) = e11Loc(i,j,bi,bj)*maskInC(i,j,bi,bj)
118              e22Loc(i,j,bi,bj) = e22Loc(i,j,bi,bj)*maskInC(i,j,bi,bj)
119             ENDDO
120            ENDDO
121    #endif /* OBCS_UVICE_OLD */
122    
123  C     abbreviations at Z-points, need to do them in separate loops  C     abbreviations at Z-points, need to do them in separate loops
124  C     for vectorization  C     for vectorization
125          DO j=1-Oly+1,sNy+Oly          DO j=1-OLy+1,sNy+OLy
126           DO i=1-Olx+1,sNx+Olx           DO i=1-OLx+1,sNx+OLx
127            dudy(I,J) = ( uFld(I,J,bi,bj) - uFld(I  ,J-1,bi,bj) )            dudy(i,j) = ( uFld(i,j,bi,bj) - uFld(i  ,j-1,bi,bj) )
128       &         * _recip_dyU(I,J,bi,bj)       &         * _recip_dyU(i,j,bi,bj)
129            uave(I,J) = 0.5 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))            uave(i,j) = 0.5 _d 0 * (uFld(i,j,bi,bj)+uFld(i  ,j-1,bi,bj))
130           ENDDO           ENDDO
131          ENDDO          ENDDO
132          DO j=1-Oly+1,sNy+Oly          DO j=1-OLy+1,sNy+OLy
133           DO i=1-Olx+1,sNx+Olx           DO i=1-OLx+1,sNx+OLx
134            dvdx(I,J) = ( vFld(I,J,bi,bj) - vFld(I-1,J  ,bi,bj) )            dvdx(i,j) = ( vFld(i,j,bi,bj) - vFld(i-1,j  ,bi,bj) )
135       &         * _recip_dxV(I,J,bi,bj)       &         * _recip_dxV(i,j,bi,bj)
136            vave(I,J) = 0.5 _d 0 * (vFld(I,J,bi,bj)+vFld(I-1,J  ,bi,bj))            vave(i,j) = 0.5 _d 0 * (vFld(i,j,bi,bj)+vFld(i-1,j  ,bi,bj))
137           ENDDO           ENDDO
138          ENDDO          ENDDO
139  C     evaluate strain rates at Z-points  C     evaluate strain rates at Z-points
140          DO j=1-Oly+1,sNy+Oly          DO j=1-OLy+1,sNy+OLy
141           DO i=1-Olx+1,sNx+Olx           DO i=1-OLx+1,sNx+OLx
142            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)
143            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)
144            e12Loc(I,J,bi,bj) = 0.5 _d 0 * (            e12Loc(i,j,bi,bj) = 0.5 _d 0 * (
145       &         dudy(I,J) + dvdx(I,J)       &         dudy(i,j) + dvdx(i,j)
146       &         - k1AtZ(I,J,bi,bj) * vave(I,J)       &         - k1AtZ(i,j,bi,bj) * vave(i,j)
147       &         - k2AtZ(I,J,bi,bj) * uave(I,J)       &         - k2AtZ(i,j,bi,bj) * uave(i,j)
148       &         )       &         )
149       &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)       &         *maskC(i  ,j  ,k,bi,bj)*maskC(i-1,j  ,k,bi,bj)
150       &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)       &         *maskC(i  ,j-1,k,bi,bj)*maskC(i-1,j-1,k,bi,bj)
151       &         + 2.0 _d 0 * noSlipFac * (       &         + 2.0 _d 0 * noSlipFac * (
152       &           2.0 _d 0 * uave(I,J) * _recip_dyU(I,J,bi,bj) * hFacU       &           2.0 _d 0 * uave(i,j) * _recip_dyU(i,j,bi,bj) * hFacU
153       &         + 2.0 _d 0 * vave(I,J) * _recip_dxV(I,J,bi,bj) * hFacV       &         + 2.0 _d 0 * vave(i,j) * _recip_dxV(i,j,bi,bj) * hFacV
154       &         )       &         )
155  C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0  C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
156  C     accross the boundary; this is already accomplished by masking so  C     accross the boundary; this is already accomplished by masking so
157  C     that the following lines are not necessary  C     that the following lines are not necessary
158  c$$$     &         - hFacV * k1AtZ(I,J,bi,bj) * vave(I,J)  c$$$     &         - hFacV * k1AtZ(i,j,bi,bj) * vave(i,j)
159  c$$$     &         - hFacU * k2AtZ(I,J,bi,bj) * uave(I,J)  c$$$     &         - hFacU * k2AtZ(i,j,bi,bj) * uave(i,j)
160           ENDDO           ENDDO
161          ENDDO          ENDDO
162    
163         ENDDO         ENDDO
164        ENDDO        ENDDO
 #else  
 C     this the old and incomplete discretization, here I also erroneously  
 C     used finite-volumes to discretize the strain rates  
       DO bj=myByLo(myThid),myByHi(myThid)  
        DO bi=myBxLo(myThid),myBxHi(myThid)  
         DO j=1-Oly,sNy+Oly-1  
          DO i=1-Olx,sNx+Olx-1  
 C     evaluate strain rates  
           e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *  
      &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))  
      &         -HALF*  
      &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))  
      &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere  
           e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *  
      &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))  
 C     one metric term is missing  
          ENDDO  
         ENDDO  
         DO j=1-Oly+1,sNy+Oly  
          DO i=1-Olx+1,sNx+Olx  
           e12Loc(I,J,bi,bj) = HALF*(  
      &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)  
      &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)  
      &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)  
      &         -vFld(I-1,J  ,bi,bj) * _dyC(I-1,J  ,bi,bj))  
      &         * recip_rAz(I,J,bi,bj)  
      &         +  
      &         0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))  
      &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )  
      &         *recip_rSphere  
      &         )  
      &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)  
      &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)  
 C     one metric term is missing  
          ENDDO  
         ENDDO  
         IF ( SEAICE_no_slip ) THEN  
 C     no slip boundary conditions apply only to e12Loc  
          DO j=1-Oly+1,sNy+Oly  
           DO i=1-Olx+1,sNx+Olx  
            hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)  
            hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)  
   
            e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)  
      &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *  
      &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,bi,bj)  
      &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,bi,bj) )  
      &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,bi,bj)  
      &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,bi,bj) ) )  
      &         - hFacU  
      &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))  
      &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )  
      &         *recip_rSphere  
 C     one metric term is missing  
           ENDDO  
          ENDDO  
   
         ENDIF  
        ENDDO  
       ENDDO  
 #endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */  
165    
166  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
167  #ifdef SEAICE_DYN_STABLE_ADJOINT  #ifdef SEAICE_DYN_STABLE_ADJOINT
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