/[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 1.13 by mlosch, Wed Jun 3 08:48:07 2009 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     kSize, 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    C     kSize  :: length of 3rd dimension of velocity variables
37          INTEGER iStep
38          _RL     myTime
39          INTEGER myIter
40        INTEGER myThid        INTEGER myThid
41          INTEGER kSize
42  C     ice velocities  C     ice velocities
43        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)        _RL uFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)
44        _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,nSx,nSy)        _RL vFld(1-Olx:sNx+Olx,1-Oly:sNy+Oly,kSize,nSx,nSy)
45  C     strain rate tensor  C     strain rate tensor
46        _RL e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e11Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
47        _RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e22Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
48        _RL e12 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)        _RL e12Loc (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)
49  CEndOfInterface  CEndOfInterface
50    
51  #ifdef SEAICE_CGRID  #ifdef SEAICE_CGRID
# Line 46  C     i,j,bi,bj - Loop counters Line 55  C     i,j,bi,bj - Loop counters
55        INTEGER i, j, bi, bj        INTEGER i, j, bi, bj
56  C  hFacU, hFacV - determine the no-slip boundary condition  C  hFacU, hFacV - determine the no-slip boundary condition
57        INTEGER k        INTEGER k
58        _RS hFacU, hFacV        _RS hFacU, hFacV, noSlipFac
59    
60        k = 1        k = 1
61          noSlipFac = 0. _d 0
62          IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
63  C  C
64    #ifndef SEAICE_OLD_AND_BAD_DISCRETIZATION
65        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
66         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
67          DO j=1-Oly+1,sNy+Oly-1          DO j=1-Oly,sNy+Oly-1
68           DO i=1-Olx+1,sNx+Olx-1           DO i=1-Olx,sNx+Olx-1
69  C NOW EVALUATE STRAIN RATES  C     evaluate strain rates
70            e11(I,J,bi,bj)= _recip_dxF(I,J,bi,bj) *            e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
71       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))       &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))
72         &         +HALF*
73         &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))
74         &         * k2AtC(I,J,bi,bj)
75              e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
76         &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))
77         &         +HALF*
78         &         (uFld(I,J,1,bi,bj)+uFld(I+1,J,1,bi,bj))
79         &         * k1AtC(I,J,bi,bj)
80             ENDDO
81            ENDDO
82            DO j=1-Oly+1,sNy+Oly
83             DO i=1-Olx+1,sNx+Olx
84              hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
85              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
86              e12Loc(I,J,bi,bj) = HALF*(
87         &           ( uFld(I,J,1,bi,bj) - uFld(I  ,J-1,1,bi,bj) )
88         &         * _recip_dyU(I,J,bi,bj)
89         &         + ( vFld(I,J,1,bi,bj) - vFld(I-1,J  ,1,bi,bj) )
90         &         * _recip_dxV(I,J,bi,bj)
91         &         - k1AtZ(I,J,bi,bj)
92         &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj))
93         &         - k2AtZ(I,J,bi,bj)
94         &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))
95         &         )
96         &         *maskC(I  ,J  ,k,bi,bj)*maskC(I-1,J  ,k,bi,bj)
97         &         *maskC(I  ,J-1,k,bi,bj)*maskC(I-1,J-1,k,bi,bj)
98         &         + 2.0 _d 0 * noSlipFac * (
99         &           ( uFld(I,J,1,bi,bj) + uFld(I  ,J-1,1,bi,bj) )
100         &         * _recip_dyU(I,J,bi,bj) * hFacU
101         &         + ( vFld(I,J,1,bi,bj) + vFld(I-1,J  ,1,bi,bj) )
102         &         * _recip_dxV(I,J,bi,bj) * hFacV
103         &         )
104    C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
105    C     accross the boundary; this is already accomplished by masking so
106    C     that the following lines are not necessary
107    c$$$     &         - hFacV * k1AtZ(I,J,bi,bj)
108    c$$$     &         * 0.5 _d 0 * (vFld(I,J,1,bi,bj)+vFld(I-1,J  ,1,bi,bj))
109    c$$$     &         - hFacU * k2AtZ(I,J,bi,bj)
110    c$$$     &         * 0.5 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))
111             ENDDO
112            ENDDO
113    
114    c$$$        ENDIF
115           ENDDO
116          ENDDO
117    #else
118    C     this the old and incomplete discretization, here I also erroneously
119    C     used finite-volumes to discretize the strain rates
120          DO bj=myByLo(myThid),myByHi(myThid)
121           DO bi=myBxLo(myThid),myBxHi(myThid)
122            DO j=1-Oly,sNy+Oly-1
123             DO i=1-Olx,sNx+Olx-1
124    C     evaluate strain rates
125              e11Loc(I,J,bi,bj) = _recip_dxF(I,J,bi,bj) *
126         &         (uFld(I+1,J,1,bi,bj)-uFld(I,J,1,bi,bj))
127       &         -HALF*       &         -HALF*
128       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))       &         (vFld(I,J,1,bi,bj)+vFld(I,J+1,1,bi,bj))
129       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere
130            e22(I,J,bi,bj)= _recip_dyF(I,J,bi,bj) *            e22Loc(I,J,bi,bj) = _recip_dyF(I,J,bi,bj) *
131       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))       &         (vFld(I,J+1,1,bi,bj)-vFld(I,J,1,bi,bj))
132  C     one metric term is missing  C     one metric term is missing
133            e12(I,J,bi,bj)=HALF*(           ENDDO
134       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)          ENDDO
135       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)          DO j=1-Oly+1,sNy+Oly
136       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)           DO i=1-Olx+1,sNx+Olx
137       &         -vFld(I-1,J  ,bi,bj) * _dyC(I-1,J  ,bi,bj))            e12Loc(I,J,bi,bj) = HALF*(
138         &         (uFld(I  ,J  ,1,bi,bj) * _dxC(I  ,J  ,bi,bj)
139         &         -uFld(I  ,J-1,1,bi,bj) * _dxC(I  ,J-1,bi,bj)
140         &         +vFld(I  ,J  ,1,bi,bj) * _dyC(I  ,J  ,bi,bj)
141         &         -vFld(I-1,J  ,1,bi,bj) * _dyC(I-1,J  ,bi,bj))
142       &         * recip_rAz(I,J,bi,bj)       &         * recip_rAz(I,J,bi,bj)
143       &         +       &         +
144       &         0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))       &         0.25 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))
145       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )
146       &         *recip_rSphere       &         *recip_rSphere
147       &         )       &         )
# Line 80  C     one metric term is missing Line 151  C     one metric term is missing
151           ENDDO           ENDDO
152          ENDDO          ENDDO
153          IF ( SEAICE_no_slip ) THEN          IF ( SEAICE_no_slip ) THEN
154  C     no slip boundary conditions apply only to e12  C     no slip boundary conditions apply only to e12Loc
155           DO j=1-Oly+1,sNy+Oly-1           DO j=1-Oly+1,sNy+Oly
156            DO i=1-Olx+1,sNx+Olx-1            DO i=1-Olx+1,sNx+Olx
157             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)
158             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)
159    
160             e12(I,J,bi,bj)= e12(I,J,bi,bj)             e12Loc(I,J,bi,bj) = e12Loc(I,J,bi,bj)
161       &          + recip_rAz(i,j,bi,bj) *       &          + recip_rAz(i,j,bi,bj) * 2. _d 0 *
162       &          ( hFacU * ( _dxC(i,j  ,bi,bj)*uFld(i,j  ,bi,bj)       &          ( hFacU * ( _dxC(i,j-1,bi,bj)*uFld(i,j  ,1,bi,bj)
163       &                    + _dxC(i,j-1,bi,bj)*uFld(i,j-1,bi,bj) )       &                    + _dxC(i,j,  bi,bj)*uFld(i,j-1,1,bi,bj) )
164       &          + hFacV * ( _dyC(i  ,j,bi,bj)*vFld(i  ,j,bi,bj)       &          + hFacV * ( _dyC(i-1,j,bi,bj)*vFld(i  ,j,1,bi,bj)
165       &                    + _dyC(i-1,j,bi,bj)*vFld(i-1,j,bi,bj) ) )       &                    + _dyC(i,  j,bi,bj)*vFld(i-1,j,1,bi,bj) ) )
166       &         - hFacU       &         - hFacU
167       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))       &         * 0.25 _d 0 * (uFld(I,J,1,bi,bj)+uFld(I  ,J-1,1,bi,bj))
168       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )
169       &         *recip_rSphere       &         *recip_rSphere
170  C     one metric term is missing  C     one metric term is missing
# Line 103  C     one metric term is missing Line 174  C     one metric term is missing
174          ENDIF          ENDIF
175         ENDDO         ENDDO
176        ENDDO        ENDDO
177    #endif /* SEAICE_OLD_AND_BAD_DISCRETIZATION */
178  #endif /* SEAICE_ALLOW_DYNAMICS */  #endif /* SEAICE_ALLOW_DYNAMICS */
179  #endif /* SEAICE_CGRID */  #endif /* SEAICE_CGRID */
180        RETURN        RETURN
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