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C $Header: $ |
| 2 |
C $Name: $ |
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|
| 4 |
#include "CPP_OPTIONS.h" |
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|
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SUBROUTINE MOM_VECINV( |
| 7 |
I bi,bj,iMin,iMax,jMin,jMax,k,kUp,kDown, |
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I phi_hyd,KappaRU,KappaRV, |
| 9 |
U fVerU, fVerV, |
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I myCurrentTime, myThid) |
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C /==========================================================\ |
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C | S/R MOM_VECINV | |
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C | o Form the right hand-side of the momentum equation. | |
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C |==========================================================| |
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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 | |
| 22 |
C | form produces a diffusive flux that does not scale with | |
| 23 |
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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|
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C == Global variables == |
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#include "SIZE.h" |
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#include "DYNVARS.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "GRID.h" |
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|
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C == Routine arguments == |
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C fVerU - Flux of momentum in the vertical |
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C fVerV direction out of the upper face of a cell K |
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C ( flux into the cell above ). |
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C phi_hyd - Hydrostatic pressure |
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C bi, bj, iMin, iMax, jMin, jMax - Range of points for which calculation |
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C results will be set. |
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C kUp, kDown - Index for upper and lower layers. |
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C myThid - Instance number for this innvocation of CALC_MOM_RHS |
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_RL phi_hyd(1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr) |
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_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) |
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_RL fVerU(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
| 48 |
_RL fVerV(1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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INTEGER kUp,kDown |
| 50 |
INTEGER myThid |
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_RL myCurrentTime |
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INTEGER bi,bj,iMin,iMax,jMin,jMax |
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|
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C == Local variables == |
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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 vrF (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uCf (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vCf (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 del2u(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 63 |
_RL del2v(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_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) |
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_RS xA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS yA(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 68 |
_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vFld(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL dStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL zStar(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vDiss(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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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 |
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C ( set according to free-surface condition ). |
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C hFacROpen - Lopped cell factos used tohold fraction of open |
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C hFacRClosed and closed cell wall. |
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_RL rVelMaskOverride |
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C xxxFac - On-off tracer parameters used for switching terms off. |
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_RL uDudxFac |
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_RL AhDudxFac |
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_RL A4DuxxdxFac |
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_RL vDudyFac |
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_RL AhDudyFac |
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_RL A4DuyydyFac |
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_RL rVelDudrFac |
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_RL ArDudrFac |
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_RL fuFac |
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_RL phxFac |
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_RL mtFacU |
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_RL uDvdxFac |
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_RL AhDvdxFac |
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_RL A4DvxxdxFac |
| 98 |
_RL vDvdyFac |
| 99 |
_RL AhDvdyFac |
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_RL A4DvyydyFac |
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_RL rVelDvdrFac |
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_RL ArDvdrFac |
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_RL fvFac |
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_RL phyFac |
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_RL vForcFac |
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_RL mtFacV |
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INTEGER km1,kp1 |
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_RL wVelBottomOverride |
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LOGICAL bottomDragTerms |
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_RL KE(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL omega3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vort3(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL hDiv(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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|
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km1=MAX(1,k-1) |
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kp1=MIN(Nr,k+1) |
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rVelMaskOverride=1. |
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IF ( k .EQ. 1 ) rVelMaskOverride=freeSurfFac |
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wVelBottomOverride=1. |
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IF (k.EQ.Nr) wVelBottomOverride=0. |
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|
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C Initialise intermediate terms |
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DO J=1-OLy,sNy+OLy |
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DO I=1-OLx,sNx+OLx |
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aF(i,j) = 0. |
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vF(i,j) = 0. |
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vrF(i,j) = 0. |
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uCf(i,j) = 0. |
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vCf(i,j) = 0. |
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mT(i,j) = 0. |
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pF(i,j) = 0. |
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del2u(i,j) = 0. |
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del2v(i,j) = 0. |
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dStar(i,j) = 0. |
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zStar(i,j) = 0. |
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uDiss(i,j) = 0. |
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vDiss(i,j) = 0. |
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vort3(i,j) = 0. |
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omega3(i,j) = 0. |
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ke(i,j) = 0. |
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ENDDO |
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ENDDO |
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|
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C-- Term by term tracer parmeters |
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C o U momentum equation |
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uDudxFac = afFacMom*1. |
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AhDudxFac = vfFacMom*1. |
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A4DuxxdxFac = vfFacMom*1. |
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vDudyFac = afFacMom*1. |
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AhDudyFac = vfFacMom*1. |
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A4DuyydyFac = vfFacMom*1. |
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rVelDudrFac = afFacMom*1. |
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ArDudrFac = vfFacMom*1. |
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mTFacU = mtFacMom*1. |
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fuFac = cfFacMom*1. |
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phxFac = pfFacMom*1. |
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C o V momentum equation |
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uDvdxFac = afFacMom*1. |
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AhDvdxFac = vfFacMom*1. |
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A4DvxxdxFac = vfFacMom*1. |
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vDvdyFac = afFacMom*1. |
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AhDvdyFac = vfFacMom*1. |
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A4DvyydyFac = vfFacMom*1. |
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rVelDvdrFac = afFacMom*1. |
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ArDvdrFac = vfFacMom*1. |
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mTFacV = mtFacMom*1. |
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fvFac = cfFacMom*1. |
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phyFac = pfFacMom*1. |
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vForcFac = foFacMom*1. |
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|
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IF ( no_slip_bottom |
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& .OR. bottomDragQuadratic.NE.0. |
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& .OR. bottomDragLinear.NE.0.) THEN |
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bottomDragTerms=.TRUE. |
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ELSE |
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bottomDragTerms=.FALSE. |
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ENDIF |
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|
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C-- with stagger time stepping, grad Phi_Hyp is directly incoporated in TIMESTEP |
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IF (staggerTimeStep) THEN |
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phxFac = 0. |
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phyFac = 0. |
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ENDIF |
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|
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C-- Calculate open water fraction at vorticity points |
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CALL MOM_CALC_HFACZ(bi,bj,k,hFacZ,r_hFacZ,myThid) |
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|
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C---- Calculate common quantities used in both U and V equations |
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C Calculate tracer cell face open areas |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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xA(i,j) = _dyG(i,j,bi,bj) |
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& *drF(k)*_hFacW(i,j,k,bi,bj) |
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yA(i,j) = _dxG(i,j,bi,bj) |
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& *drF(k)*_hFacS(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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C Make local copies of horizontal flow field |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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uFld(i,j) = uVel(i,j,k,bi,bj) |
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vFld(i,j) = vVel(i,j,k,bi,bj) |
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ENDDO |
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ENDDO |
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|
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C Calculate velocity field "volume transports" through tracer cell faces. |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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uTrans(i,j) = uFld(i,j)*xA(i,j) |
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vTrans(i,j) = vFld(i,j)*yA(i,j) |
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ENDDO |
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ENDDO |
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|
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CALL MOM_VI_CALC_KE(bi,bj,k,uFld,vFld,KE,myThid) |
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|
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CALL MOM_VI_CALC_HDIV(bi,bj,k,uFld,vFld,hDiv,myThid) |
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|
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CALL MOM_VI_CALC_RELVORT3(bi,bj,k,uFld,vFld,hFacZ,vort3,myThid) |
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|
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CALL MOM_VI_CALC_ABSVORT3(bi,bj,k,vort3,omega3,myThid) |
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|
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IF (momViscosity) THEN |
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C Calculate del^2 u and del^2 v for bi-harmonic term |
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CALL MOM_VI_DEL2UV( |
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I bi,bj,k,hDiv,vort3,hFacZ, |
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O del2u,del2v, |
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& myThid) |
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CALL MOM_VI_CALC_HDIV(bi,bj,k,del2u,del2v,dStar,myThid) |
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CALL MOM_VI_CALC_RELVORT3(bi,bj,k,del2u,del2v,hFacZ,zStar,myThid) |
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C Calculate dissipation terms for U and V equations |
| 232 |
CALL MOM_VI_HDISSIP( |
| 233 |
I bi,bj,k,hDiv,vort3,hFacZ,dStar,zStar, |
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O uDiss,vDiss, |
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& myThid) |
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ENDIF |
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|
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C---- Zonal momentum equation starts here |
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|
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C-- Vertical flux (fVer is at upper face of "u" cell) |
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|
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C Eddy component of vertical flux (interior component only) -> vrF |
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IF (momViscosity.AND..NOT.implicitViscosity) |
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& CALL MOM_U_RVISCFLUX(bi,bj,k,uVel,KappaRU,vrF,myThid) |
| 245 |
|
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C Combine fluxes |
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DO j=jMin,jMax |
| 248 |
DO i=iMin,iMax |
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fVerU(i,j,kDown) = ArDudrFac*vrF(i,j) |
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ENDDO |
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ENDDO |
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|
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C--- Hydrostatic term ( -1/rhoConst . dphi/dx ) |
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IF (momPressureForcing) THEN |
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DO j=1-Olx,sNy+Oly |
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DO i=2-Olx,sNx+Olx |
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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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|
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C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
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DO j=2-Oly,sNy+Oly-1 |
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DO i=2-Olx,sNx+Olx-1 |
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gU(i,j,k,bi,bj) = uDiss(i,j) |
| 267 |
& -_recip_hFacW(i,j,k,bi,bj)*recip_drF(k) |
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& *recip_rAw(i,j,bi,bj) |
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& *( |
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& +fVerU(i,j,kUp)*rkFac - fVerU(i,j,kDown)*rkFac |
| 271 |
& ) |
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& _PHM( +phxFac * pf(i,j) ) |
| 273 |
ENDDO |
| 274 |
ENDDO |
| 275 |
|
| 276 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
| 277 |
IF (momViscosity.AND.no_slip_sides) THEN |
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C- No-slip BCs impose a drag at walls... |
| 279 |
CALL MOM_U_SIDEDRAG(bi,bj,k,uFld,del2u,hFacZ,vF,myThid) |
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DO j=jMin,jMax |
| 281 |
DO i=iMin,iMax |
| 282 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
| 283 |
ENDDO |
| 284 |
ENDDO |
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ENDIF |
| 286 |
C- No-slip BCs impose a drag at bottom |
| 287 |
IF (momViscosity.AND.bottomDragTerms) THEN |
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CALL MOM_U_BOTTOMDRAG(bi,bj,k,uFld,KE,KappaRU,vF,myThid) |
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DO j=jMin,jMax |
| 290 |
DO i=iMin,iMax |
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gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+vF(i,j) |
| 292 |
ENDDO |
| 293 |
ENDDO |
| 294 |
ENDIF |
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|
| 296 |
C-- Forcing term |
| 297 |
IF (momForcing) |
| 298 |
& CALL EXTERNAL_FORCING_U( |
| 299 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 300 |
I myCurrentTime,myThid) |
| 301 |
|
| 302 |
C-- Metric terms for curvilinear grid systems |
| 303 |
c IF (usingSphericalPolarMTerms) THEN |
| 304 |
C o Spherical polar grid metric terms |
| 305 |
c CALL MOM_U_METRIC_NH(bi,bj,k,uFld,wVel,mT,myThid) |
| 306 |
c DO j=jMin,jMax |
| 307 |
c DO i=iMin,iMax |
| 308 |
c gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)+mTFacU*mT(i,j) |
| 309 |
c ENDDO |
| 310 |
c ENDDO |
| 311 |
c ENDIF |
| 312 |
|
| 313 |
C-- Set du/dt on boundaries to zero |
| 314 |
DO j=jMin,jMax |
| 315 |
DO i=iMin,iMax |
| 316 |
gU(i,j,k,bi,bj) = gU(i,j,k,bi,bj)*_maskW(i,j,k,bi,bj) |
| 317 |
ENDDO |
| 318 |
ENDDO |
| 319 |
|
| 320 |
|
| 321 |
C---- Meridional momentum equation starts here |
| 322 |
|
| 323 |
C-- Vertical flux (fVer is at upper face of "v" cell) |
| 324 |
|
| 325 |
C Eddy component of vertical flux (interior component only) -> vrF |
| 326 |
IF (momViscosity.AND..NOT.implicitViscosity) |
| 327 |
& CALL MOM_V_RVISCFLUX(bi,bj,k,vVel,KappaRV,vrf,myThid) |
| 328 |
|
| 329 |
C Combine fluxes -> fVerV |
| 330 |
DO j=jMin,jMax |
| 331 |
DO i=iMin,iMax |
| 332 |
fVerV(i,j,kDown) = ArDvdrFac*vrF(i,j) |
| 333 |
ENDDO |
| 334 |
ENDDO |
| 335 |
|
| 336 |
C--- Hydorstatic term (-1/rhoConst . dphi/dy ) |
| 337 |
IF (momPressureForcing) THEN |
| 338 |
DO j=jMin,jMax |
| 339 |
DO i=iMin,iMax |
| 340 |
pF(i,j) = -_recip_dyC(i,j,bi,bj) |
| 341 |
& *(phi_hyd(i,j,k)-phi_hyd(i,j-1,k)) |
| 342 |
ENDDO |
| 343 |
ENDDO |
| 344 |
ENDIF |
| 345 |
|
| 346 |
C-- Tendency is minus divergence of the fluxes + coriolis + pressure term |
| 347 |
DO j=jMin,jMax |
| 348 |
DO i=iMin,iMax |
| 349 |
gV(i,j,k,bi,bj) = vDiss(i,j) |
| 350 |
& -_recip_hFacS(i,j,k,bi,bj)*recip_drF(k) |
| 351 |
& *recip_rAs(i,j,bi,bj) |
| 352 |
& *( |
| 353 |
& +fVerV(i,j,kUp)*rkFac - fVerV(i,j,kDown)*rkFac |
| 354 |
& ) |
| 355 |
& _PHM( +phyFac*pf(i,j) ) |
| 356 |
ENDDO |
| 357 |
ENDDO |
| 358 |
|
| 359 |
C-- No-slip and drag BCs appear as body forces in cell abutting topography |
| 360 |
IF (momViscosity.AND.no_slip_sides) THEN |
| 361 |
C- No-slip BCs impose a drag at walls... |
| 362 |
CALL MOM_V_SIDEDRAG(bi,bj,k,vFld,del2v,hFacZ,vF,myThid) |
| 363 |
DO j=jMin,jMax |
| 364 |
DO i=iMin,iMax |
| 365 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
| 366 |
ENDDO |
| 367 |
ENDDO |
| 368 |
ENDIF |
| 369 |
C- No-slip BCs impose a drag at bottom |
| 370 |
IF (momViscosity.AND.bottomDragTerms) THEN |
| 371 |
CALL MOM_V_BOTTOMDRAG(bi,bj,k,vFld,KE,KappaRV,vF,myThid) |
| 372 |
DO j=jMin,jMax |
| 373 |
DO i=iMin,iMax |
| 374 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+vF(i,j) |
| 375 |
ENDDO |
| 376 |
ENDDO |
| 377 |
ENDIF |
| 378 |
|
| 379 |
C-- Forcing term |
| 380 |
IF (momForcing) |
| 381 |
& CALL EXTERNAL_FORCING_V( |
| 382 |
I iMin,iMax,jMin,jMax,bi,bj,k, |
| 383 |
I myCurrentTime,myThid) |
| 384 |
|
| 385 |
C-- Metric terms for curvilinear grid systems |
| 386 |
c IF (usingSphericalPolarMTerms) THEN |
| 387 |
C o Spherical polar grid metric terms |
| 388 |
c CALL MOM_V_METRIC_NH(bi,bj,k,vFld,wVel,mT,myThid) |
| 389 |
c DO j=jMin,jMax |
| 390 |
c DO i=iMin,iMax |
| 391 |
c gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)+mTFacV*mT(i,j) |
| 392 |
c ENDDO |
| 393 |
c ENDDO |
| 394 |
c ENDIF |
| 395 |
|
| 396 |
C-- Set dv/dt on boundaries to zero |
| 397 |
DO j=jMin,jMax |
| 398 |
DO i=iMin,iMax |
| 399 |
gV(i,j,k,bi,bj) = gV(i,j,k,bi,bj)*_maskS(i,j,k,bi,bj) |
| 400 |
ENDDO |
| 401 |
ENDDO |
| 402 |
|
| 403 |
C-- Horizontal Coriolis terms |
| 404 |
CALL MOM_VI_CORIOLIS(bi,bj,K,uFld,vFld,omega3,r_hFacZ, |
| 405 |
& uCf,vCf,myThid) |
| 406 |
DO j=jMin,jMax |
| 407 |
DO i=iMin,iMax |
| 408 |
gU(i,j,k,bi,bj) = (gU(i,j,k,bi,bj)+uCf(i,j)) |
| 409 |
& *_maskW(i,j,k,bi,bj) |
| 410 |
gV(i,j,k,bi,bj) = (gV(i,j,k,bi,bj)+vCf(i,j)) |
| 411 |
& *_maskS(i,j,k,bi,bj) |
| 412 |
ENDDO |
| 413 |
ENDDO |
| 414 |
c CALL MOM_VI_U_CORIOLIS(bi,bj,K,vFld,omega3,r_hFacZ,uCf,myThid) |
| 415 |
CALL MOM_VI_U_CORIOLIS(bi,bj,K,vFld,vort3,r_hFacZ,uCf,myThid) |
| 416 |
c CALL MOM_VI_U_CORIOLIS_C4(bi,bj,K,vFld,vort3,r_hFacZ,uCf,myThid) |
| 417 |
DO j=jMin,jMax |
| 418 |
DO i=iMin,iMax |
| 419 |
gU(i,j,k,bi,bj) = (gU(i,j,k,bi,bj)+uCf(i,j)) |
| 420 |
& *_maskW(i,j,k,bi,bj) |
| 421 |
ENDDO |
| 422 |
ENDDO |
| 423 |
c CALL MOM_VI_V_CORIOLIS(bi,bj,K,uFld,omega3,r_hFacZ,vCf,myThid) |
| 424 |
CALL MOM_VI_V_CORIOLIS(bi,bj,K,uFld,vort3,r_hFacZ,vCf,myThid) |
| 425 |
c CALL MOM_VI_V_CORIOLIS_C4(bi,bj,K,uFld,vort3,r_hFacZ,vCf,myThid) |
| 426 |
DO j=jMin,jMax |
| 427 |
DO i=iMin,iMax |
| 428 |
gV(i,j,k,bi,bj) = (gV(i,j,k,bi,bj)+vCf(i,j)) |
| 429 |
& *_maskS(i,j,k,bi,bj) |
| 430 |
ENDDO |
| 431 |
ENDDO |
| 432 |
|
| 433 |
IF (momAdvection) THEN |
| 434 |
C-- Vertical shear terms (Coriolis) |
| 435 |
CALL MOM_VI_U_VERTSHEAR(bi,bj,K,uVel,wVel,uCf,myThid) |
| 436 |
DO j=jMin,jMax |
| 437 |
DO i=iMin,iMax |
| 438 |
gU(i,j,k,bi,bj) = (gU(i,j,k,bi,bj)+uCf(i,j)) |
| 439 |
& *_maskW(i,j,k,bi,bj) |
| 440 |
ENDDO |
| 441 |
ENDDO |
| 442 |
CALL MOM_VI_V_VERTSHEAR(bi,bj,K,vVel,wVel,vCf,myThid) |
| 443 |
DO j=jMin,jMax |
| 444 |
DO i=iMin,iMax |
| 445 |
gV(i,j,k,bi,bj) = (gV(i,j,k,bi,bj)+vCf(i,j)) |
| 446 |
& *_maskS(i,j,k,bi,bj) |
| 447 |
ENDDO |
| 448 |
ENDDO |
| 449 |
|
| 450 |
C-- Bernoulli term |
| 451 |
CALL MOM_VI_U_GRAD_KE(bi,bj,K,KE,uCf,myThid) |
| 452 |
DO j=jMin,jMax |
| 453 |
DO i=iMin,iMax |
| 454 |
gU(i,j,k,bi,bj) = (gU(i,j,k,bi,bj)+uCf(i,j)) |
| 455 |
& *_maskW(i,j,k,bi,bj) |
| 456 |
ENDDO |
| 457 |
ENDDO |
| 458 |
CALL MOM_VI_V_GRAD_KE(bi,bj,K,KE,vCf,myThid) |
| 459 |
DO j=jMin,jMax |
| 460 |
DO i=iMin,iMax |
| 461 |
gV(i,j,k,bi,bj) = (gV(i,j,k,bi,bj)+vCf(i,j)) |
| 462 |
& *_maskS(i,j,k,bi,bj) |
| 463 |
ENDDO |
| 464 |
ENDDO |
| 465 |
ENDIF |
| 466 |
|
| 467 |
RETURN |
| 468 |
END |
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