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C $Header$ |
C $Header$ |
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C $Name$ |
C $Name$ |
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#include "CPP_OPTIONS.h" |
CBOI |
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C !TITLE: pkg/mom\_advdiff |
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C !AUTHORS: adcroft@mit.edu |
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C !INTRODUCTION: Flux-form Momentum Equations Package |
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C |
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C Package "mom\_fluxform" provides methods for calculating explicit terms |
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C in the momentum equation cast in flux-form: |
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C \begin{eqnarray*} |
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C G^u & = & -\frac{1}{\rho} \partial_x \phi_h |
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C -\nabla \cdot {\bf v} u |
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C -fv |
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C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^x |
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C + \mbox{metrics} |
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C \\ |
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C G^v & = & -\frac{1}{\rho} \partial_y \phi_h |
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C -\nabla \cdot {\bf v} v |
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C +fu |
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C +\frac{1}{\rho} \nabla \cdot {\bf \tau}^y |
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C + \mbox{metrics} |
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C \end{eqnarray*} |
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C where ${\bf v}=(u,v,w)$ and $\tau$, the stress tensor, includes surface |
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C stresses as well as internal viscous stresses. |
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CEOI |
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#include "MOM_FLUXFORM_OPTIONS.h" |
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CBOP |
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C !ROUTINE: MOM_FLUXFORM |
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C !INTERFACE: ========================================================== |
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SUBROUTINE MOM_FLUXFORM( |
SUBROUTINE MOM_FLUXFORM( |
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I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
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I phi_hyd,KappaRU,KappaRV, |
I dPhihydX,dPhiHydY,KappaRU,KappaRV, |
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U fVerU, fVerV, |
U fVerU, fVerV, |
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I myCurrentTime, myThid) |
I myTime,myIter,myThid) |
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C /==========================================================\ |
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C | S/R MOM_FLUXFORM | |
C !DESCRIPTION: |
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C | o Form the right hand-side of the momentum equation. | |
C Calculates all the horizontal accelerations except for the implicit surface |
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C |==========================================================| |
C pressure gradient and implciit vertical viscosity. |
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C | Terms are evaluated one layer at a time working from | |
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C | the bottom to the top. The vertically integrated | |
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C | barotropic flow tendency term is evluated by summing the | |
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C | tendencies. | |
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C | Notes: | |
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C | We have not sorted out an entirely satisfactory formula | |
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C | for the diffusion equation bc with lopping. The present | |
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C | form produces a diffusive flux that does not scale with | |
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C | open-area. Need to do something to solidfy this and to | |
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C | deal "properly" with thin walls. | |
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C \==========================================================/ |
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IMPLICIT NONE |
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C !USES: =============================================================== |
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C == Global variables == |
C == Global variables == |
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IMPLICIT NONE |
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#include "SIZE.h" |
#include "SIZE.h" |
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#include "DYNVARS.h" |
#include "DYNVARS.h" |
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#include "FFIELDS.h" |
#include "FFIELDS.h" |
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#include "GRID.h" |
#include "GRID.h" |
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#include "SURFACE.h" |
#include "SURFACE.h" |
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C == Routine arguments == |
C !INPUT PARAMETERS: =================================================== |
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C fZon - Work array for flux of momentum in the east-west |
C bi,bj :: tile indices |
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C direction at the west face of a cell. |
C iMin,iMax,jMin,jMAx :: loop ranges |
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C fMer - Work array for flux of momentum in the north-south |
C k :: vertical level |
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C direction at the south face of a cell. |
C kUp :: =1 or 2 for consecutive k |
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C fVerU - Flux of momentum in the vertical |
C kDown :: =2 or 1 for consecutive k |
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C fVerV direction out of the upper face of a cell K |
C dPhiHydX,Y :: Gradient (X & Y dir.) of Hydrostatic Potential |
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C ( flux into the cell above ). |
C KappaRU :: vertical viscosity |
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C phi_hyd - Hydrostatic pressure |
C KappaRV :: vertical viscosity |
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C bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation |
C fVerU :: vertical flux of U, 2 1/2 dim for pipe-lining |
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C results will be set. |
C fVerV :: vertical flux of V, 2 1/2 dim for pipe-lining |
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C kUp, kDown - Index for upper and lower layers. |
C myTime :: current time |
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C myThid - Instance number for this innvocation of CALC_MOM_RHS |
C myIter :: current time-step number |
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_RL phi_hyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
C myThid :: thread number |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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INTEGER k,kUp,kDown |
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_RL dPhiHydX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dPhiHydY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaRU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
_RL KappaRV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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INTEGER kUp,kDown |
_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
INTEGER myThid |
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_RL myCurrentTime |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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C == Local variables == |
C !OUTPUT PARAMETERS: ================================================== |
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C ab15, ab05 - Weights for Adams-Bashforth time stepping scheme. |
C None - updates gU() and gV() in common blocks |
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C i,j,k - Loop counters |
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C !LOCAL VARIABLES: ==================================================== |
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C i,j :: loop indices |
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C aF :: advective flux |
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C vF :: viscous flux |
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C v4F :: bi-harmonic viscous flux |
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C vrF :: vertical viscous flux |
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C cF :: Coriolis acceleration |
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C mT :: Metric terms |
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C pF :: Pressure gradient |
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C fZon :: zonal fluxes |
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C fMer :: meridional fluxes |
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INTEGER i,j |
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_RL aF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vrF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL cF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL mT(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL pF(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fZon(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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C wMaskOverride - Land sea flag override for top layer. |
C wMaskOverride - Land sea flag override for top layer. |
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C afFacMom - Tracer parameters for turning terms |
C afFacMom - Tracer parameters for turning terms |
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C vfFacMom on and off. |
C vfFacMom on and off. |
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C cfFacMom - Coriolis terms |
C cfFacMom - Coriolis terms |
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C foFacMom - Forcing |
C foFacMom - Forcing |
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C mTFacMom - Metric term |
C mTFacMom - Metric term |
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C vF - Temporary holding viscous term (Laplacian) |
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C v4F - Temporary holding viscous term (Biharmonic) |
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C cF - Temporary holding coriolis term. |
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C mT - Temporary holding metric terms(s). |
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C pF - Temporary holding pressure|potential gradient terms. |
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C uDudxFac, AhDudxFac, etc ... individual term tracer parameters |
C uDudxFac, AhDudxFac, etc ... individual term tracer parameters |
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_RL aF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL v4F(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vrF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL cF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL mT (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL pF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS r_hFacZ(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rTransU(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rTransV(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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C I,J,K - Loop counters |
C I,J,K - Loop counters |
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INTEGER i,j,k |
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C rVelMaskOverride - Factor for imposing special surface boundary conditions |
C rVelMaskOverride - Factor for imposing special surface boundary conditions |
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C ( set according to free-surface condition ). |
C ( set according to free-surface condition ). |
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C hFacROpen - Lopped cell factos used tohold fraction of open |
C hFacROpen - Lopped cell factos used tohold fraction of open |
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_RL phyFac |
_RL phyFac |
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_RL vForcFac |
_RL vForcFac |
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_RL mtFacV |
_RL mtFacV |
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C ab05, ab15 - Adams-Bashforth time-stepping weights. |
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_RL ab05, ab15 |
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INTEGER km1,kp1 |
INTEGER km1,kp1 |
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_RL wVelBottomOverride |
_RL wVelBottomOverride |
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LOGICAL bottomDragTerms |
LOGICAL bottomDragTerms |
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_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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CEOP |
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km1=MAX(1,k-1) |
km1=MAX(1,k-1) |
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kp1=MIN(Nr,k+1) |
kp1=MIN(Nr,k+1) |
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pF(i,j) = 0. |
pF(i,j) = 0. |
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fZon(i,j) = 0. |
fZon(i,j) = 0. |
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fMer(i,j) = 0. |
fMer(i,j) = 0. |
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rTransU(i,j) = 0. |
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rTransV(i,j) = 0. |
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#ifdef ALLOW_AUTODIFF_TAMC |
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C- jmc: this is wrong, but at least with #ifdef/endif TAMC, it does not break |
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C the forward code ; (same thing in mom_vectinv) |
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fVerU(i,j,1) = 0. _d 0 |
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fVerU(i,j,2) = 0. _d 0 |
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fVerV(i,j,1) = 0. _d 0 |
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fVerV(i,j,2) = 0. _d 0 |
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#endif |
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ENDDO |
ENDDO |
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ENDDO |
ENDDO |
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phyFac = 0. |
phyFac = 0. |
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ENDIF |
ENDIF |
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C-- Adams-Bashforth weighting factors |
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ab15 = 1.5 _d 0 + abEps |
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ab05 = -0.5 _d 0 - abEps |
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C-- Calculate open water fraction at vorticity points |
C-- Calculate open water fraction at vorticity points |
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CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
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CALL MOM_CALC_KE(bi,bj,k,uFld,vFld,KE,myThid) |
CALL MOM_CALC_KE(bi,bj,k,uFld,vFld,KE,myThid) |
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C--- First call (k=1): compute vertical adv. flux fVerU(kUp) & fVerV(kUp) |
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IF (momAdvection.AND.k.EQ.1) THEN |
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C- Calculate vertical transports above U & V points (West & South face): |
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CALL MOM_CALC_RTRANS( k, bi, bj, |
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O rTransU, rTransV, |
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I myTime, myIter, myThid) |
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C- Free surface correction term (flux at k=1) |
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CALL MOM_U_ADV_WU(bi,bj,k,uVel,wVel,rTransU,af,myThid) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fVerU(i,j,kUp) = af(i,j) |
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ENDDO |
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ENDDO |
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CALL MOM_V_ADV_WV(bi,bj,k,vVel,wVel,rTransV,af,myThid) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fVerV(i,j,kUp) = af(i,j) |
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ENDDO |
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ENDDO |
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C--- endif momAdvection & k=1 |
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ENDIF |
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C--- Calculate vertical transports (at k+1) below U & V points : |
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IF (momAdvection) THEN |
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CALL MOM_CALC_RTRANS( k+1, bi, bj, |
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O rTransU, rTransV, |
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I myTime, myIter, myThid) |
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ENDIF |
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C---- Zonal momentum equation starts here |
C---- Zonal momentum equation starts here |
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C Bi-harmonic term del^2 U -> v4F |
C Bi-harmonic term del^2 U -> v4F |
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IF (momViscosity) |
IF (momViscosity .AND. viscA4.NE.0. ) |
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& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
& CALL MOM_U_DEL2U(bi,bj,k,uFld,hFacZ,v4f,myThid) |
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C--- Calculate mean and eddy fluxes between cells for zonal flow. |
C--- Calculate mean and eddy fluxes between cells for zonal flow. |
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& CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
& CALL MOM_U_YVISCFLUX(bi,bj,k,uFld,v4F,hFacZ,vF,myThid) |
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C Combine fluxes -> fMer |
C Combine fluxes -> fMer |
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DO j=jMin,jMax |
DO j=jMin,jMax+1 |
338 |
DO i=iMin,iMax |
DO i=iMin,iMax |
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fMer(i,j) = vDudyFac*aF(i,j) + AhDudyFac*vF(i,j) |
fMer(i,j) = vDudyFac*aF(i,j) + AhDudyFac*vF(i,j) |
340 |
ENDDO |
ENDDO |
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C-- Vertical flux (fVer is at upper face of "u" cell) |
C-- Vertical flux (fVer is at upper face of "u" cell) |
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C-- Free surface correction term (flux at k=1) |
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IF (momAdvection.AND.k.EQ.1) THEN |
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CALL MOM_U_ADV_WU(bi,bj,k,uVel,wVel,af,myThid) |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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fVerU(i,j,kUp) = af(i,j) |
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ENDDO |
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ENDDO |
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ENDIF |
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C Mean flow component of vertical flux (at k+1) -> aF |
C Mean flow component of vertical flux (at k+1) -> aF |
346 |
IF (momAdvection) |
IF (momAdvection) |
347 |
& CALL MOM_U_ADV_WU(bi,bj,k+1,uVel,wVel,af,myThid) |
& CALL MOM_U_ADV_WU(bi,bj,k+1,uVel,wVel,rTransU,af,myThid) |
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C Eddy component of vertical flux (interior component only) -> vrF |
C Eddy component of vertical flux (interior component only) -> vrF |
350 |
IF (momViscosity.AND..NOT.implicitViscosity) |
IF (momViscosity.AND..NOT.implicitViscosity) |
357 |
ENDDO |
ENDDO |
358 |
ENDDO |
ENDDO |
359 |
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C--- Hydrostatic term ( -1/rhoConst . dphi/dx ) |
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IF (momPressureForcing) THEN |
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DO j=jMin,jMax |
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DO i=iMin,iMax |
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pf(i,j) = - _recip_dxC(i,j,bi,bj) |
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& *(phi_hyd(i,j,k)-phi_hyd(i-1,j,k)) |
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ENDDO |
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ENDDO |
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ENDIF |
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360 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
361 |
DO j=jMin,jMax |
DO j=jMin,jMax |
362 |
DO i=iMin,iMax |
DO i=iMin,iMax |
372 |
& +fMer(i,j+1) - fMer(i ,j) |
& +fMer(i,j+1) - fMer(i ,j) |
373 |
& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
374 |
& ) |
& ) |
375 |
& _PHM( +phxFac * pf(i,j) ) |
& - phxFac*dPhiHydX(i,j) |
376 |
ENDDO |
ENDDO |
377 |
ENDDO |
ENDDO |
378 |
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379 |
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#ifdef NONLIN_FRSURF |
380 |
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C-- account for 3.D divergence of the flow in rStar coordinate: |
381 |
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IF ( momAdvection .AND. select_rStar.GT.0 ) THEN |
382 |
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DO j=jMin,jMax |
383 |
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DO i=iMin,iMax |
384 |
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gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
385 |
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& - (rStarExpW(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
386 |
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& *uVel(i,j,k,bi,bj) |
387 |
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ENDDO |
388 |
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ENDDO |
389 |
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ENDIF |
390 |
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IF ( momAdvection .AND. select_rStar.LT.0 ) THEN |
391 |
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DO j=jMin,jMax |
392 |
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DO i=iMin,iMax |
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gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj) |
394 |
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& - rStarDhWDt(i,j,bi,bj)*uVel(i,j,k,bi,bj) |
395 |
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ENDDO |
396 |
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ENDDO |
397 |
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ENDIF |
398 |
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#endif /* NONLIN_FRSURF */ |
399 |
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400 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
401 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF (momViscosity.AND.no_slip_sides) THEN |
402 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
417 |
ENDDO |
ENDDO |
418 |
ENDIF |
ENDIF |
419 |
|
|
420 |
C-- Forcing term |
C-- Forcing term (moved to timestep.F) |
421 |
IF (momForcing) |
c IF (momForcing) |
422 |
& CALL EXTERNAL_FORCING_U( |
c & CALL EXTERNAL_FORCING_U( |
423 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
c I iMin,iMax,jMin,jMax,bi,bj,k, |
424 |
I myCurrentTime,myThid) |
c I myTime,myThid) |
425 |
|
|
426 |
C-- Metric terms for curvilinear grid systems |
C-- Metric terms for curvilinear grid systems |
427 |
IF (usingSphericalPolarMTerms) THEN |
IF (useNHMTerms) THEN |
428 |
C o Spherical polar grid metric terms |
C o Non-hydrosatic metric terms |
429 |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
430 |
DO j=jMin,jMax |
DO j=jMin,jMax |
431 |
DO i=iMin,iMax |
DO i=iMin,iMax |
432 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
433 |
ENDDO |
ENDDO |
434 |
ENDDO |
ENDDO |
435 |
|
ENDIF |
436 |
|
IF (usingSphericalPolarMTerms) THEN |
437 |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
CALL MOM_U_METRIC_SPHERE(bi,bj,k,uFld,vFld,mT,myThid) |
438 |
DO j=jMin,jMax |
DO j=jMin,jMax |
439 |
DO i=iMin,iMax |
DO i=iMin,iMax |
453 |
C---- Meridional momentum equation starts here |
C---- Meridional momentum equation starts here |
454 |
|
|
455 |
C Bi-harmonic term del^2 V -> v4F |
C Bi-harmonic term del^2 V -> v4F |
456 |
IF (momViscosity) |
IF (momViscosity .AND. viscA4.NE.0. ) |
457 |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
& CALL MOM_V_DEL2V(bi,bj,k,vFld,hFacZ,v4f,myThid) |
458 |
|
|
459 |
C--- Calculate mean and eddy fluxes between cells for meridional flow. |
C--- Calculate mean and eddy fluxes between cells for meridional flow. |
470 |
|
|
471 |
C Combine fluxes -> fZon |
C Combine fluxes -> fZon |
472 |
DO j=jMin,jMax |
DO j=jMin,jMax |
473 |
DO i=iMin,iMax |
DO i=iMin,iMax+1 |
474 |
fZon(i,j) = uDvdxFac*aF(i,j) + AhDvdxFac*vF(i,j) |
fZon(i,j) = uDvdxFac*aF(i,j) + AhDvdxFac*vF(i,j) |
475 |
ENDDO |
ENDDO |
476 |
ENDDO |
ENDDO |
494 |
|
|
495 |
C-- Vertical flux (fVer is at upper face of "v" cell) |
C-- Vertical flux (fVer is at upper face of "v" cell) |
496 |
|
|
|
C-- Free surface correction term (flux at k=1) |
|
|
IF (momAdvection.AND.k.EQ.1) THEN |
|
|
CALL MOM_V_ADV_WV(bi,bj,k,vVel,wVel,af,myThid) |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
fVerV(i,j,kUp) = af(i,j) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDIF |
|
497 |
C o Mean flow component of vertical flux |
C o Mean flow component of vertical flux |
498 |
IF (momAdvection) |
IF (momAdvection) |
499 |
& CALL MOM_V_ADV_WV(bi,bj,k+1,vVel,wVel,af,myThid) |
& CALL MOM_V_ADV_WV(bi,bj,k+1,vVel,wVel,rTransV,af,myThid) |
500 |
|
|
501 |
C Eddy component of vertical flux (interior component only) -> vrF |
C Eddy component of vertical flux (interior component only) -> vrF |
502 |
IF (momViscosity.AND..NOT.implicitViscosity) |
IF (momViscosity.AND..NOT.implicitViscosity) |
509 |
ENDDO |
ENDDO |
510 |
ENDDO |
ENDDO |
511 |
|
|
|
C--- Hydorstatic term (-1/rhoConst . dphi/dy ) |
|
|
IF (momPressureForcing) THEN |
|
|
DO j=jMin,jMax |
|
|
DO i=iMin,iMax |
|
|
pF(i,j) = -_recip_dyC(i,j,bi,bj) |
|
|
& *(phi_hyd(i,j,k)-phi_hyd(i,j-1,k)) |
|
|
ENDDO |
|
|
ENDDO |
|
|
ENDIF |
|
|
|
|
512 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
513 |
DO j=jMin,jMax |
DO j=jMin,jMax |
514 |
DO i=iMin,iMax |
DO i=iMin,iMax |
524 |
& +fMer(i,j ) - fMer(i,j-1) |
& +fMer(i,j ) - fMer(i,j-1) |
525 |
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
526 |
& ) |
& ) |
527 |
& _PHM( +phyFac*pf(i,j) ) |
& - phyFac*dPhiHydY(i,j) |
528 |
ENDDO |
ENDDO |
529 |
ENDDO |
ENDDO |
530 |
|
|
531 |
|
#ifdef NONLIN_FRSURF |
532 |
|
C-- account for 3.D divergence of the flow in rStar coordinate: |
533 |
|
IF ( momAdvection .AND. select_rStar.GT.0 ) THEN |
534 |
|
DO j=jMin,jMax |
535 |
|
DO i=iMin,iMax |
536 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
537 |
|
& - (rStarExpS(i,j,bi,bj) - 1. _d 0)/deltaTfreesurf |
538 |
|
& *vVel(i,j,k,bi,bj) |
539 |
|
ENDDO |
540 |
|
ENDDO |
541 |
|
ENDIF |
542 |
|
IF ( momAdvection .AND. select_rStar.LT.0 ) THEN |
543 |
|
DO j=jMin,jMax |
544 |
|
DO i=iMin,iMax |
545 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj) |
546 |
|
& - rStarDhSDt(i,j,bi,bj)*vVel(i,j,k,bi,bj) |
547 |
|
ENDDO |
548 |
|
ENDDO |
549 |
|
ENDIF |
550 |
|
#endif /* NONLIN_FRSURF */ |
551 |
|
|
552 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
553 |
IF (momViscosity.AND.no_slip_sides) THEN |
IF (momViscosity.AND.no_slip_sides) THEN |
554 |
C- No-slip BCs impose a drag at walls... |
C- No-slip BCs impose a drag at walls... |
569 |
ENDDO |
ENDDO |
570 |
ENDIF |
ENDIF |
571 |
|
|
572 |
C-- Forcing term |
C-- Forcing term (moved to timestep.F) |
573 |
IF (momForcing) |
c IF (momForcing) |
574 |
& CALL EXTERNAL_FORCING_V( |
c & CALL EXTERNAL_FORCING_V( |
575 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
c I iMin,iMax,jMin,jMax,bi,bj,k, |
576 |
I myCurrentTime,myThid) |
c I myTime,myThid) |
577 |
|
|
578 |
C-- Metric terms for curvilinear grid systems |
C-- Metric terms for curvilinear grid systems |
579 |
IF (usingSphericalPolarMTerms) THEN |
IF (useNHMTerms) THEN |
580 |
C o Spherical polar grid metric terms |
C o Spherical polar grid metric terms |
581 |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
582 |
DO j=jMin,jMax |
DO j=jMin,jMax |
584 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
585 |
ENDDO |
ENDDO |
586 |
ENDDO |
ENDDO |
587 |
|
ENDIF |
588 |
|
IF (usingSphericalPolarMTerms) THEN |
589 |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
CALL MOM_V_METRIC_SPHERE(bi,bj,k,uFld,mT,myThid) |
590 |
DO j=jMin,jMax |
DO j=jMin,jMax |
591 |
DO i=iMin,iMax |
DO i=iMin,iMax |
603 |
|
|
604 |
C-- Coriolis term |
C-- Coriolis term |
605 |
C Note. As coded here, coriolis will not work with "thin walls" |
C Note. As coded here, coriolis will not work with "thin walls" |
606 |
#ifdef INCLUDE_CD_CODE |
c IF (useCDscheme) THEN |
607 |
CALL MOM_CDSCHEME(bi,bj,k,phi_hyd,myThid) |
c CALL MOM_CDSCHEME(bi,bj,k,dPhiHydX,dPhiHydY,myThid) |
608 |
#else |
c ELSE |
609 |
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
IF (.NOT.useCDscheme) THEN |
610 |
DO j=jMin,jMax |
CALL MOM_U_CORIOLIS(bi,bj,k,vFld,cf,myThid) |
611 |
DO i=iMin,iMax |
DO j=jMin,jMax |
612 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
DO i=iMin,iMax |
613 |
ENDDO |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
614 |
ENDDO |
ENDDO |
615 |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
ENDDO |
616 |
DO j=jMin,jMax |
CALL MOM_V_CORIOLIS(bi,bj,k,uFld,cf,myThid) |
617 |
DO i=iMin,iMax |
DO j=jMin,jMax |
618 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
DO i=iMin,iMax |
619 |
|
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+fvFac*cf(i,j) |
620 |
|
ENDDO |
621 |
|
ENDDO |
622 |
|
ENDIF |
623 |
|
|
624 |
|
IF (nonHydrostatic.OR.quasiHydrostatic) THEN |
625 |
|
CALL MOM_U_CORIOLIS_NH(bi,bj,k,wVel,cf,myThid) |
626 |
|
DO j=jMin,jMax |
627 |
|
DO i=iMin,iMax |
628 |
|
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+fuFac*cf(i,j) |
629 |
|
ENDDO |
630 |
ENDDO |
ENDDO |
631 |
ENDDO |
ENDIF |
|
#endif /* INCLUDE_CD_CODE */ |
|
632 |
|
|
633 |
RETURN |
RETURN |
634 |
END |
END |