--- MITgcm/model/src/dynamics.F 1998/04/29 21:31:09 1.3 +++ MITgcm/model/src/dynamics.F 1998/06/23 02:35:59 1.22 @@ -1,8 +1,8 @@ -C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/model/src/dynamics.F,v 1.3 1998/04/29 21:31:09 adcroft Exp $ +C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/model/src/dynamics.F,v 1.22 1998/06/23 02:35:59 adcroft Exp $ #include "CPP_EEOPTIONS.h" - SUBROUTINE DYNAMICS(myThid) + SUBROUTINE DYNAMICS(myTime, myIter, myThid) C /==========================================================\ C | SUBROUTINE DYNAMICS | C | o Controlling routine for the explicit part of the model | @@ -25,18 +25,25 @@ #include "SIZE.h" #include "EEPARAMS.h" #include "CG2D.h" +#include "PARAMS.h" #include "DYNVARS.h" C == Routine arguments == +C myTime - Current time in simulation +C myIter - Current iteration number in simulation C myThid - Thread number for this instance of the routine. INTEGER myThid + _RL myTime + INTEGER myIter C == Local variables C xA, yA - Per block temporaries holding face areas C uTrans, vTrans, wTrans - Per block temporaries holding flow transport -C o uTrans: Zonal transport +C wVel o uTrans: Zonal transport C o vTrans: Meridional transport C o wTrans: Vertical transport +C o wVel: Vertical velocity at upper and lower +C cell faces. C maskC,maskUp o maskC: land/water mask for tracer cells C o maskUp: land/water mask for W points C aTerm, xTerm, cTerm - Work arrays for holding separate terms in @@ -63,6 +70,7 @@ _RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) _RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL aTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) @@ -79,11 +87,67 @@ _RL pH (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) _RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) _RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL rhok (1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL rhotmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL K13 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) + _RL K23 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) + _RL K33 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) + _RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy) + _RL KappaZT(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz) + _RL KappaZS(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz) + INTEGER iMin, iMax INTEGER jMin, jMax INTEGER bi, bj INTEGER i, j INTEGER k, kM1, kUp, kDown + LOGICAL BOTTOM_LAYER + +C--- The algorithm... +C +C "Correction Step" +C ================= +C Here we update the horizontal velocities with the surface +C pressure such that the resulting flow is either consistent +C with the free-surface evolution or the rigid-lid: +C U[n] = U* + dt x d/dx P +C V[n] = V* + dt x d/dy P +C +C "Calculation of Gs" +C =================== +C This is where all the accelerations and tendencies (ie. +C physics, parameterizations etc...) are calculated +C w = sum_z ( div. u[n] ) +C rho = rho ( theta[n], salt[n] ) +C K31 = K31 ( rho ) +C Gu[n] = Gu( u[n], v[n], w, rho, Ph, ... ) +C Gv[n] = Gv( u[n], v[n], w, rho, Ph, ... ) +C Gt[n] = Gt( theta[n], u[n], v[n], w, K31, ... ) +C Gs[n] = Gs( salt[n], u[n], v[n], w, K31, ... ) +C +C "Time-stepping" or "Prediction" +C ================================ +C The models variables are stepped forward with the appropriate +C time-stepping scheme (currently we use Adams-Bashforth II) +C - For momentum, the result is always *only* a "prediction" +C in that the flow may be divergent and will be "corrected" +C later with a surface pressure gradient. +C - Normally for tracers the result is the new field at time +C level [n+1} *BUT* in the case of implicit diffusion the result +C is also *only* a prediction. +C - We denote "predictors" with an asterisk (*). +C U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] ) +C V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] ) +C theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) +C salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) +C With implicit diffusion: +C theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) +C salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) +C (1 + dt * K * d_zz) theta[n] = theta* +C (1 + dt * K * d_zz) salt[n] = salt* +C--- C-- Set up work arrays with valid (i.e. not NaN) values C These inital values do not alter the numerical results. They @@ -92,46 +156,54 @@ C uninitialised but inert locations. DO j=1-OLy,sNy+OLy DO i=1-OLx,sNx+OLx - xA(i,j) = 0.*1. _d 37 - yA(i,j) = 0.*1. _d 37 - uTrans(i,j) = 0.*1. _d 37 - vTrans(i,j) = 0.*1. _d 37 - aTerm(i,j) = 0.*1. _d 37 - xTerm(i,j) = 0.*1. _d 37 - cTerm(i,j) = 0.*1. _d 37 - mTerm(i,j) = 0.*1. _d 37 - pTerm(i,j) = 0.*1. _d 37 - fZon(i,j) = 0.*1. _d 37 - fMer(i,j) = 0.*1. _d 37 + xA(i,j) = 0. _d 0 + yA(i,j) = 0. _d 0 + uTrans(i,j) = 0. _d 0 + vTrans(i,j) = 0. _d 0 + aTerm(i,j) = 0. _d 0 + xTerm(i,j) = 0. _d 0 + cTerm(i,j) = 0. _d 0 + mTerm(i,j) = 0. _d 0 + pTerm(i,j) = 0. _d 0 + fZon(i,j) = 0. _d 0 + fMer(i,j) = 0. _d 0 DO K=1,nZ - pH (i,j,k) = 0.*1. _d 37 + pH (i,j,k) = 0. _d 0 + K13(i,j,k) = 0. _d 0 + K23(i,j,k) = 0. _d 0 + K33(i,j,k) = 0. _d 0 + KappaZT(i,j,k) = 0. _d 0 ENDDO - rhokm1(i,j) = 0. _d 0 - rhokp1(i,j) = 0. _d 0 - ENDDO - ENDDO -C-- Set up work arrays that need valid initial values - DO j=1-OLy,sNy+OLy - DO i=1-OLx,sNx+OLx - wTrans(i,j) = 0. _d 0 - fVerT(i,j,1) = 0. _d 0 - fVerT(i,j,2) = 0. _d 0 - fVerS(i,j,1) = 0. _d 0 - fVerS(i,j,2) = 0. _d 0 - fVerU(i,j,1) = 0. _d 0 - fVerU(i,j,2) = 0. _d 0 - fVerV(i,j,1) = 0. _d 0 - fVerV(i,j,2) = 0. _d 0 + rhokm1(i,j) = 0. _d 0 + rhok (i,j) = 0. _d 0 + rhokp1(i,j) = 0. _d 0 + rhotmp(i,j) = 0. _d 0 + maskC (i,j) = 0. _d 0 ENDDO ENDDO DO bj=myByLo(myThid),myByHi(myThid) DO bi=myBxLo(myThid),myBxHi(myThid) -C-- Boundary condition on hydrostatic pressure is pH(z=0)=0 +C-- Set up work arrays that need valid initial values DO j=1-OLy,sNy+OLy DO i=1-OLx,sNx+OLx + wTrans(i,j) = 0. _d 0 + wVel (i,j,1) = 0. _d 0 + wVel (i,j,2) = 0. _d 0 + fVerT(i,j,1) = 0. _d 0 + fVerT(i,j,2) = 0. _d 0 + fVerS(i,j,1) = 0. _d 0 + fVerS(i,j,2) = 0. _d 0 + fVerU(i,j,1) = 0. _d 0 + fVerU(i,j,2) = 0. _d 0 + fVerV(i,j,1) = 0. _d 0 + fVerV(i,j,2) = 0. _d 0 pH(i,j,1) = 0. _d 0 + K13(i,j,1) = 0. _d 0 + K23(i,j,1) = 0. _d 0 + K33(i,j,1) = 0. _d 0 + KapGM(i,j) = GMkbackground ENDDO ENDDO @@ -140,46 +212,111 @@ jMin = 1-OLy+1 jMax = sNy+OLy -C-- Update fields according to tendency terms - CALL TIMESTEP( - I bi,bj,iMin,iMax,jMin,jMax,myThid) + K = 1 + BOTTOM_LAYER = K .EQ. Nz - DO K=2,Nz -C Density of K-1 level (above W(K)) reference to K level - CALL FIND_RHO( - I bi, bj, iMin, iMax, jMin, jMax, K-1, K, 'LINEAR', - O rhoKm1, - I myThid ) -C Density of K level (below W(K)) reference to K level +C-- Calculate gradient of surface pressure + CALL GRAD_PSURF( + I bi,bj,iMin,iMax,jMin,jMax, + O pSurfX,pSurfY, + I myThid) + +C-- Update fields in top level according to tendency terms + CALL CORRECTION_STEP( + I bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myTime,myThid) + + IF ( .NOT. BOTTOM_LAYER ) THEN +C-- Update fields in layer below according to tendency terms + CALL CORRECTION_STEP( + I bi,bj,iMin,iMax,jMin,jMax,K+1,pSurfX,pSurfY,myTime,myThid) + ENDIF + +C-- Density of 1st level (below W(1)) reference to level 1 + CALL FIND_RHO( + I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, + O rhoKm1, + I myThid ) + + IF ( .NOT. BOTTOM_LAYER ) THEN +C-- Check static stability with layer below +C and mix as needed. CALL FIND_RHO( - I bi, bj, iMin, iMax, jMin, jMax, K, K, 'LINEAR', + I bi, bj, iMin, iMax, jMin, jMax, K+1, K, eosType, O rhoKp1, I myThid ) -C-- Calculate static stability and mix where convectively unstable CALL CONVECT( - I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKp1,myThid) -C Density of K-1 level (above W(K)) reference to K-1 level + I bi,bj,iMin,iMax,jMin,jMax,K+1,rhoKm1,rhoKp1, + I myTime,myIter,myThid) +C-- Recompute density after mixing CALL FIND_RHO( - I bi, bj, iMin, iMax, jMin, jMax, K-1, K-1, 'LINEAR', + I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, O rhoKm1, I myThid ) + ENDIF + C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 - CALL CALC_PH( - I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1, - U pH, - I myThid ) - ENDDO ! K + CALL CALC_PH( + I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKm1, + U pH, + I myThid ) + + DO K=2,Nz + + BOTTOM_LAYER = K .EQ. Nz -C Density of Nz level (bottom level) reference to Nz level + IF ( .NOT. BOTTOM_LAYER ) THEN +C-- Update fields in layer below according to tendency terms + CALL CORRECTION_STEP( + I bi,bj,iMin,iMax,jMin,jMax,K+1,pSurfX,pSurfY,myTime,myThid) + ENDIF +C-- Update fields in layer below according to tendency terms +C CALL CORRECTION_STEP( +C I bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myTime,myThid) + +C-- Density of K level (below W(K)) reference to K level CALL FIND_RHO( - I bi, bj, iMin, iMax, jMin, jMax, Nz, Nz, 'LINEAR', - O rhoKm1, + I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, + O rhoK, I myThid ) -C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 + IF ( .NOT. BOTTOM_LAYER ) THEN +C-- Check static stability with layer below +C and mix as needed. +C-- Density of K+1 level (below W(K+1)) reference to K level + CALL FIND_RHO( + I bi, bj, iMin, iMax, jMin, jMax, K+1, K, eosType, + O rhoKp1, + I myThid ) + CALL CONVECT( + I bi,bj,iMin,iMax,jMin,jMax,K+1,rhoK,rhoKp1, + I myTime,myIter,myThid) +C-- Recompute density after mixing + CALL FIND_RHO( + I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, + O rhoK, + I myThid ) + ENDIF +C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 CALL CALC_PH( - I bi,bj,iMin,iMax,jMin,jMax,Nz+1,rhoKm1, + I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoK, U pH, I myThid ) +C-- Calculate iso-neutral slopes for the GM/Redi parameterisation + CALL FIND_RHO( + I bi, bj, iMin, iMax, jMin, jMax, K-1, K, eosType, + O rhoTmp, + I myThid ) + CALL CALC_ISOSLOPES( + I bi, bj, iMin, iMax, jMin, jMax, K, + I rhoKm1, rhoK, rhotmp, + O K13, K23, K33, KapGM, + I myThid ) + DO J=jMin,jMax + DO I=iMin,iMax + rhoKm1(I,J)=rhoK(I,J) + ENDDO + ENDDO + + ENDDO ! K DO K = Nz, 1, -1 kM1 =max(1,k-1) ! Points to level above k (=k-1) @@ -193,34 +330,96 @@ C-- Get temporary terms used by tendency routines CALL CALC_COMMON_FACTORS ( I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, - O xA,yA,uTrans,vTrans,wTrans,maskC,maskUp, + O xA,yA,uTrans,vTrans,wTrans,wVel,maskC,maskUp, I myThid) -C-- Calculate accelerations in the momentum equations - CALL CALC_MOM_RHS( - I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, - I xA,yA,uTrans,vTrans,wTrans,maskC, - I pH, - U aTerm,xTerm,cTerm,mTerm,pTerm, - U fZon, fMer, fVerU, fVerV, +C-- Calculate the total vertical diffusivity + CALL CALC_DIFFUSIVITY( + I bi,bj,iMin,iMax,jMin,jMax,K, + I maskC,maskUp,KapGM,K33, + O KappaZT,KappaZS, I myThid) +C-- Calculate accelerations in the momentum equations + IF ( momStepping ) THEN + CALL CALC_MOM_RHS( + I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, + I xA,yA,uTrans,vTrans,wTrans,wVel,maskC, + I pH, + U aTerm,xTerm,cTerm,mTerm,pTerm, + U fZon, fMer, fVerU, fVerV, + I myThid) + ENDIF + C-- Calculate active tracer tendencies - CALL CALC_GT( - I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, - I xA,yA,uTrans,vTrans,wTrans,maskUp, - U aTerm,xTerm,fZon,fMer,fVerT, - I myThid) -Cdbg CALL CALC_GS( -Cdbg I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, -Cdbg I xA,yA,uTrans,vTrans,wTrans,maskUp, -Cdbg U aTerm,xTerm,fZon,fMer,fVerS, -Cdbg I myThid) + IF ( tempStepping ) THEN + CALL CALC_GT( + I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, + I xA,yA,uTrans,vTrans,wTrans,maskUp,maskC, + I K13,K23,KappaZT,KapGM, + U aTerm,xTerm,fZon,fMer,fVerT, + I myThid) + ENDIF + IF ( saltStepping ) THEN + CALL CALC_GS( + I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, + I xA,yA,uTrans,vTrans,wTrans,maskUp,maskC, + I K13,K23,KappaZS,KapGM, + U aTerm,xTerm,fZon,fMer,fVerS, + I myThid) + ENDIF + +C-- Prediction step (step forward all model variables) + CALL TIMESTEP( + I bi,bj,iMin,iMax,jMin,jMax,K, + I myThid) + +C-- Diagnose barotropic divergence of predicted fields + CALL DIV_G( + I bi,bj,iMin,iMax,jMin,jMax,K, + I xA,yA, + I myThid) - ENDDO + ENDDO ! K + +C-- Implicit diffusion + IF (implicitDiffusion) THEN + CALL IMPLDIFF( bi, bj, iMin, iMax, jMin, jMax, + I KappaZT,KappaZS, + I myThid ) + ENDIF ENDDO ENDDO +C write(0,*) 'dynamics: pS ',minval(cg2d_x(1:sNx,1:sNy,:,:)), +C & maxval(cg2d_x(1:sNx,1:sNy,:,:)) +C write(0,*) 'dynamics: U ',minval(uVel(1:sNx,1:sNy,1,:,:),mask=uVel(1:sNx,1:sNy,1,:,:).NE.0.), +C & maxval(uVel(1:sNx,1:sNy,1,:,:),mask=uVel(1:sNx,1:sNy,1,:,:).NE.0.) +C write(0,*) 'dynamics: V ',minval(vVel(1:sNx,1:sNy,1,:,:),mask=vVel(1:sNx,1:sNy,1,:,:).NE.0.), +C & maxval(vVel(1:sNx,1:sNy,1,:,:),mask=vVel(1:sNx,1:sNy,1,:,:).NE.0.) +C write(0,*) 'dynamics: wVel(1) ', +C & minval(wVel(1:sNx,1:sNy,1),mask=wVel(1:sNx,1:sNy,1).NE.0.), +C & maxval(wVel(1:sNx,1:sNy,1),mask=wVel(1:sNx,1:sNy,1).NE.0.) +C write(0,*) 'dynamics: wVel(2) ', +C & minval(wVel(1:sNx,1:sNy,2),mask=wVel(1:sNx,1:sNy,2).NE.0.), +C & maxval(wVel(1:sNx,1:sNy,2),mask=wVel(1:sNx,1:sNy,2).NE.0.) +cblk write(0,*) 'dynamics: K13',minval(K13(1:sNx,1:sNy,:)), +cblk & maxval(K13(1:sNx,1:sNy,:)) +cblk write(0,*) 'dynamics: K23',minval(K23(1:sNx,1:sNy,:)), +cblk & maxval(K23(1:sNx,1:sNy,:)) +cblk write(0,*) 'dynamics: K33',minval(K33(1:sNx,1:sNy,:)), +cblk & maxval(K33(1:sNx,1:sNy,:)) +C write(0,*) 'dynamics: gT ',minval(gT(1:sNx,1:sNy,:,:,:)), +C & maxval(gT(1:sNx,1:sNy,:,:,:)) +C write(0,*) 'dynamics: T ',minval(Theta(1:sNx,1:sNy,:,:,:)), +C & maxval(Theta(1:sNx,1:sNy,:,:,:)) +C write(0,*) 'dynamics: gS ',minval(gS(1:sNx,1:sNy,:,:,:)), +C & maxval(gS(1:sNx,1:sNy,:,:,:)) +C write(0,*) 'dynamics: S ',minval(salt(1:sNx,1:sNy,:,:,:)), +C & maxval(salt(1:sNx,1:sNy,:,:,:)) +C write(0,*) 'dynamics: pH ',minval(pH/(Gravity*Rhonil),mask=ph.NE.0.), +C & maxval(pH/(Gravity*Rhonil)) + RETURN END