/[MITgcm]/MITgcm/pkg/seaice/seaice_calc_strainrates.F
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revision 1.2 by mlosch, Sun Apr 22 19:56:22 2007 UTC revision 1.20 by mlosch, Thu Feb 28 17:25:41 2013 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        SUBROUTINE SEAICE_CALC_STRAINRATES(  C     !ROUTINE: SEAICE_CALC_STRAINRATES
13    C     !INTERFACE:
14          SUBROUTINE SEAICE_CALC_STRAINRATES(
15       I     uFld, vFld,       I     uFld, vFld,
16       O     e11, e22, e12,       O     e11Loc, e22Loc, e12Loc,
17       I     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"
39    
40  #ifdef ALLOW_AUTODIFF_TAMC  #ifdef ALLOW_AUTODIFF_TAMC
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     myThid - Thread no. that called this routine.  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
52    C     myTime :: Simulation time
53    C     myIter :: Simulation timestep number
54    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
61          _RL     myTime
62          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 e11 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)  
       _RL e22 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,nSx,nSy)  
       _RL e12 (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        _RS hFacU, hFacV, noSlipFac
75    C     auxillary variables that help writing code that
76    C     vectorizes even after TAFization
77          _RL dudx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
78          _RL dvdy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
79          _RL dudy (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
80          _RL dvdx (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
81          _RL uave (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
82          _RL vave (1-OLx:sNx+OLx,1-OLy:sNy+OLy)
83    
84          k = 1
85          noSlipFac = 0. _d 0
86          IF ( SEAICE_no_slip ) noSlipFac = 1. _d 0
87    C     in order repoduce results before fixing a bug in r1.20 comment out
88    C     the following line
89    CML      IF ( SEAICE_no_slip ) noSlipFac = 2. _d 0
90  C  C
91        DO bj=myByLo(myThid),myByHi(myThid)        DO bj=myByLo(myThid),myByHi(myThid)
92         DO bi=myBxLo(myThid),myBxHi(myThid)         DO bi=myBxLo(myThid),myBxHi(myThid)
93          DO j=1-Oly+1,sNy+Oly-1  C     abbreviations on C-points, need to do them in separate loops
94           DO i=1-Olx+1,sNx+Olx-1  C     for vectorization
95  C NOW EVALUATE STRAIN RATES          DO j=1-OLy,sNy+OLy-1
96            e11(I,J,bi,bj)= _recip_dxF(I,J,bi,bj) *           DO i=1-OLx,sNx+OLx-1
97       &         (uFld(I+1,J,bi,bj)-uFld(I,J,bi,bj))            dudx(i,j) = _recip_dxF(i,j,bi,bj) *
98       &         -HALF*       &         (uFld(i+1,j,bi,bj)-uFld(i,j,bi,bj))
99       &         (vFld(I,J,bi,bj)+vFld(I,J+1,bi,bj))            uave(i,j) = 0.5 _d 0 * (uFld(i,j,bi,bj)+uFld(i+1,j,bi,bj))
100       &         * _tanPhiAtU(I,J,bi,bj)*recip_rSphere           ENDDO
101            e22(I,J,bi,bj)= _recip_dyF(I,J,bi,bj) *          ENDDO
102       &         (vFld(I,J+1,bi,bj)-vFld(I,J,bi,bj))          DO j=1-OLy,sNy+OLy-1
103  C     one metric term is missing           DO i=1-OLx,sNx+OLx-1
104            e12(I,J,bi,bj)=HALF*(            dvdy(i,j) = _recip_dyF(i,j,bi,bj) *
105       &         (uFld(I  ,J  ,bi,bj) * _dxC(I  ,J  ,bi,bj)       &         (vFld(i,j+1,bi,bj)-vFld(i,j,bi,bj))
106       &         -uFld(I  ,J-1,bi,bj) * _dxC(I  ,J-1,bi,bj)            vave(i,j) = 0.5 _d 0 * (vFld(i,j,bi,bj)+vFld(i,j+1,bi,bj))
107       &         +vFld(I  ,J  ,bi,bj) * _dyC(I  ,J  ,bi,bj)           ENDDO
108       &         -vFld(I-1,J  ,bi,bj) * _dyC(I-1,J  ,bi,bj))          ENDDO
109       &         * recip_rAz(I,J,bi,bj)  C     evaluate strain rates at C-points
110       &         +          DO j=1-OLy,sNy+OLy-1
111       &         0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))           DO i=1-OLx,sNx+OLx-1
112       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )            e11Loc(i,j,bi,bj) = dudx(i,j) + vave(i,j) * k2AtC(i,j,bi,bj)
113       &         *recip_rSphere            e22Loc(i,j,bi,bj) = dvdy(i,j) + uave(i,j) * k1AtC(i,j,bi,bj)
114       &         )           ENDDO
115  C     one metric term is missing          ENDDO
116    #ifndef OBCS_UVICE_OLD
117    C--     for OBCS: assume no gradient beyong OB
118            DO j=1-OLy,sNy+OLy-1
119             DO i=1-OLx,sNx+OLx-1
120              e11Loc(i,j,bi,bj) = e11Loc(i,j,bi,bj)*maskInC(i,j,bi,bj)
121              e22Loc(i,j,bi,bj) = e22Loc(i,j,bi,bj)*maskInC(i,j,bi,bj)
122           ENDDO           ENDDO
123          ENDDO          ENDDO
124          IF ( SEAICE_no_slip ) THEN  #endif /* OBCS_UVICE_OLD */
125  C     no slip boundary conditions are applied as a body force  
126  C     following mom_u/v_sidedrag  C     abbreviations at Z-points, need to do them in separate loops
127           k = 1  C     for vectorization
128           DO j=1-Oly+1,sNy+Oly-1          DO j=1-OLy+1,sNy+OLy
129            DO i=1-Olx+1,sNx+Olx-1           DO i=1-OLx+1,sNx+OLx
130             hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)            dudy(i,j) = ( uFld(i,j,bi,bj) - uFld(i  ,j-1,bi,bj) )
131             hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)       &         * _recip_dyU(i,j,bi,bj)
132              uave(i,j) = 0.5 _d 0 * (uFld(i,j,bi,bj)+uFld(i  ,j-1,bi,bj))
133             e12(I,J,bi,bj)= e12(I,J,bi,bj)           ENDDO
134       &          + HALF*( recip_rAz(i,j,bi,bj)          ENDDO
135       &          *( hFacU * ( _dxC(i,j  ,bi,bj)*uFld(i,j  ,bi,bj)          DO j=1-OLy+1,sNy+OLy
136       &                     + _dxC(i,j-1,bi,bj)*uFld(i,j-1,bi,bj) )           DO i=1-OLx+1,sNx+OLx
137       &           + hFacV * ( _dyC(i  ,j,bi,bj)*vFld(i  ,j,bi,bj)            dvdx(i,j) = ( vFld(i,j,bi,bj) - vFld(i-1,j  ,bi,bj) )
138       &                     + _dyC(i-1,j,bi,bj)*vFld(i-1,j,bi,bj) ) )       &         * _recip_dxV(i,j,bi,bj)
139       &         - hFacU            vave(i,j) = 0.5 _d 0 * (vFld(i,j,bi,bj)+vFld(i-1,j  ,bi,bj))
140       &         * 0.25 _d 0 * (uFld(I,J,bi,bj)+uFld(I  ,J-1,bi,bj))           ENDDO
141       &         * ( _tanPhiAtU(I,J,bi,bj) + _tanPhiAtU(I,J-1,bi,bj) )          ENDDO
142       &         *recip_rSphere  C     evaluate strain rates at Z-points
143       &          )          DO j=1-OLy+1,sNy+OLy
144  C     one metric term is missing           DO i=1-OLx+1,sNx+OLx
145            ENDDO            hFacU = _maskW(i,j,k,bi,bj) - _maskW(i,j-1,k,bi,bj)
146              hFacV = _maskS(i,j,k,bi,bj) - _maskS(i-1,j,k,bi,bj)
147              e12Loc(i,j,bi,bj) = 0.5 _d 0 * (
148         &         dudy(i,j) + dvdx(i,j)
149         &         - k1AtZ(i,j,bi,bj) * vave(i,j)
150         &         - k2AtZ(i,j,bi,bj) * uave(i,j)
151         &         )
152         &         *maskC(i  ,j  ,k,bi,bj)*maskC(i-1,j  ,k,bi,bj)
153         &         *maskC(i  ,j-1,k,bi,bj)*maskC(i-1,j-1,k,bi,bj)
154         &         + noSlipFac * (
155         &           2.0 _d 0 * uave(i,j) * _recip_dyU(i,j,bi,bj) * hFacU
156         &         + 2.0 _d 0 * vave(i,j) * _recip_dxV(i,j,bi,bj) * hFacV
157         &         )
158    C     no slip at the boundary implies u(j)+u(j-1)=0 and v(i)+v(i-1)=0
159    C     accross the boundary; this is already accomplished by masking so
160    C     that the following lines are not necessary
161    c$$$     &         - hFacV * k1AtZ(i,j,bi,bj) * vave(i,j)
162    c$$$     &         - hFacU * k2AtZ(i,j,bi,bj) * uave(i,j)
163           ENDDO           ENDDO
164            ENDDO
165    
         ENDIF  
166         ENDDO         ENDDO
167        ENDDO        ENDDO
168    
169    #ifdef ALLOW_AUTODIFF_TAMC
170    #ifdef SEAICE_DYN_STABLE_ADJOINT
171    cgf zero out adjoint fields to stabilize pkg/seaice dyna. adjoint
172          CALL ZERO_ADJ( 1, e11Loc, myThid)
173          CALL ZERO_ADJ( 1, e12Loc, myThid)
174          CALL ZERO_ADJ( 1, e22Loc, myThid)
175    #endif
176    #endif /* ALLOW_AUTODIFF_TAMC */
177    
178  #endif /* SEAICE_ALLOW_DYNAMICS */  #endif /* SEAICE_ALLOW_DYNAMICS */
179  #endif /* SEAICE_CGRID */  #endif /* SEAICE_CGRID */
180        RETURN        RETURN
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