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C $Header: /u/gcmpack/MITgcm/pkg/bbl/bbl_calc_rhs.F,v 1.1 2011/08/06 03:13:22 dimitri Exp $ |
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C $Name: $ |
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|
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#include "BBL_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: BBL_CALC_RHS |
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|
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C !INTERFACE: |
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SUBROUTINE BBL_CALC_RHS( |
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I myTime, myIter, myThid ) |
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|
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C !DESCRIPTION: |
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C Calculate tendency of tracers due to bottom boundary layer. |
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C Scheme is currently coded for dTtracerLev(k) .EQ. deltaT. |
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|
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C !USES: |
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IMPLICIT NONE |
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#include "SIZE.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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#include "DYNVARS.h" |
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#include "BBL.h" |
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|
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C !INPUT PARAMETERS: |
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C myTime :: Current time in simulation |
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C myIter :: Current time-step number |
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C myThid :: my Thread Id number |
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_RL myTime |
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INTEGER myIter, myThid |
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|
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C !OUTPUT PARAMETERS: |
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|
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C !LOCAL VARIABLES: |
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C bi,bj :: Tile indices |
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C i,j :: Loop indices |
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C kBot :: k index of bottommost wet grid box |
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C kLowC1 :: k index of bottommost (i,j) cell |
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C kLowC2 :: k index of bottommost (i+1,j) or (i,j+1) cell |
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C kl :: k index at which to compare 2 cells |
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C resThk :: thickness of bottommost wet grid box minus bbl_eta |
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C resTheta :: temperature of this residual volume |
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C resSalt :: salinity of this residual volume |
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C deltaRho :: density change |
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C deltaDpt :: depth change |
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C bbl_tend :: temporary variable for tendency terms |
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C sloc :: salinity of bottommost wet grid box |
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C tloc :: temperature of bottommost wet grid box |
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C rholoc :: in situ density of bottommost wet grid box |
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C rhoBBL :: in situ density of bottom boundary layer |
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C fZon :: Zonal flux |
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C fMer :: Meridional flux |
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C bbl_rho1 :: local (i,j) density |
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C bbl_rho2 :: local (i+1, j) or (i,j+1) density |
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INTEGER bi, bj |
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INTEGER i, j, kBot, kLowC1, kLowC2, kl |
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_RL resThk, resTheta, resSalt |
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_RL deltaRho, deltaDpt, bbl_tend |
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_RL bbl_rho1, bbl_rho2 |
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_RL sloc ( 1-Olx:sNx+Olx, 1-Oly:sNy+Oly ) |
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_RL tloc ( 1-Olx:sNx+Olx, 1-Oly:sNy+Oly ) |
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_RL rholoc ( 1-Olx:sNx+Olx, 1-Oly:sNy+Oly ) |
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_RL rhoBBL ( 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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CHARACTER*(MAX_LEN_MBUF) msgBuf |
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CEOP |
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|
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C-- Loops on tile indices bi,bj |
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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C Initialize tendency terms and make local copy of |
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C bottomost temperature, salinity, and in-situ desnity |
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C and of in-situ BBL density |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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bbl_TendTheta(i,j,bi,bj) = 0. _d 0 |
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bbl_TendSalt (i,j,bi,bj) = 0. _d 0 |
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kBot = max(1,kLowC(i,j,bi,bj)) |
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tLoc(i,j) = theta(i,j,kBot,bi,bj) |
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sLoc(i,j) = salt (i,j,kBot,bi,bj) |
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rholoc(i,j) = rhoInSitu(i,j,kBot,bi,bj) |
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IF ( kBot .EQ. Nr ) THEN |
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rhoBBL(i,j) = bbl_rho_nr(i,j,bi,bj) |
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ELSE |
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rhoBBL(i,j) = rhoInSitu(i,j,kBot+1, bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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C==== Compute and apply vertical exchange between BBL and |
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C residual volume of botommost wet grid box. |
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C This operation does not change total tracer quantity |
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C in botommost wet grid box. |
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|
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx |
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kBot = kLowC(i,j,bi,bj) |
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IF ( kBot .GT. 0 ) THEN |
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resThk = hFacC(i,j,kBot,bi,bj)*drF(kBot) - bbl_eta(i,j,bi,bj) |
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|
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C If bbl occupies the complete bottom model grid box or |
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C if model density is higher than BBL then mix instantly. |
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IF ( (resThk.LE.0) .OR. (rhoLoc(i,j).GE.rhoBBL(i,j)) ) THEN |
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bbl_theta(i,j,bi,bj) = tLoc(i,j) |
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bbl_salt (i,j,bi,bj) = sLoc(i,j) |
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|
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C If model density is lower than BBL, slowly diffuse upward. |
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ELSE |
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resTheta = ( tLoc(i,j) * (resThk+bbl_eta(i,j,bi,bj)) - |
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& (bbl_theta(i,j,bi,bj)*bbl_eta(i,j,bi,bj)) ) / resThk |
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resSalt = ( sLoc(i,j) * (resThk+bbl_eta(i,j,bi,bj)) - |
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& (bbl_salt (i,j,bi,bj)*bbl_eta(i,j,bi,bj)) ) / resThk |
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bbl_theta(i,j,bi,bj) = bbl_theta(i,j,bi,bj) + |
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& deltaT * (resTheta-bbl_theta(i,j,bi,bj)) / bbl_RelaxR |
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bbl_salt (i,j,bi,bj) = bbl_salt (i,j,bi,bj) + |
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& deltaT * (resSalt -bbl_salt (i,j,bi,bj)) / bbl_RelaxR |
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ENDIF |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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C==== Compute zonal bbl exchange. |
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DO j=1-Oly,sNy+Oly |
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DO i=1-Olx,sNx+Olx-1 |
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kLowC1 = kLowC(i,j,bi,bj) |
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kLowC2 = kLowC(i+1,j,bi,bj) |
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IF ((kLowC1.GT.0).AND.(kLowC2.GT.0)) THEN |
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C Compare the bbl densities at the higher pressure |
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C (highest possible density of given t,s) |
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C bbl in situ density is stored in kLowC + 1 index |
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kl = MAX(kLowC1, kLowC2) + 1 |
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IF ( kl .GT. Nr ) THEN |
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bbl_rho1 = bbl_rho_nr(i,j,bi,bj) |
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bbl_rho2 = bbl_rho_nr(i+1,j,bi,bj) |
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else |
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bbl_rho1 = rhoInSitu(i,j,kl,bi,bj) |
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bbl_rho2 = rhoInSitu(i+1,j,kl,bi,bj) |
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endif |
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deltaRho = bbl_rho2 - bbl_rho1 |
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deltaDpt = R_low(i ,j,bi,bj) + bbl_eta(i ,j,bi,bj) - |
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& R_low(i+1,j,bi,bj) - bbl_eta(i+1,j,bi,bj) |
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|
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C If heavy BBL water is higher than light BBL water, |
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C exchange properties laterally. |
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IF ( (deltaRho*deltaDpt) .LE. 0. ) THEN |
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bbl_TendTheta(i,j,bi,bj) = bbl_TendTheta(i,j,bi,bj) + |
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& ( bbl_theta(i+1,j,bi,bj) - bbl_theta(i,j,bi,bj) ) / |
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& bbl_RelaxH |
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bbl_TendTheta(i+1,j,bi,bj) = bbl_TendTheta(i+1,j,bi,bj) - |
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& ( bbl_theta(i+1,j,bi,bj) - bbl_theta(i,j,bi,bj) ) * |
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& ( rA(i ,j,bi,bj) * bbl_eta(i ,j,bi,bj) ) / |
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& ( rA(i+1,j,bi,bj) * bbl_eta(i+1,j,bi,bj) * bbl_RelaxH ) |
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bbl_TendSalt(i,j,bi,bj) = bbl_TendSalt(i,j,bi,bj) + |
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& ( bbl_salt(i+1,j,bi,bj) - bbl_salt(i,j,bi,bj) ) / |
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& bbl_RelaxH |
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bbl_TendSalt(i+1,j,bi,bj) = bbl_TendSalt(i+1,j,bi,bj) - |
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& ( bbl_salt(i+1,j,bi,bj) - bbl_salt(i,j,bi,bj) ) * |
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& ( rA(i ,j,bi,bj) * bbl_eta(i ,j,bi,bj) ) / |
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& ( rA(i+1,j,bi,bj) * bbl_eta(i+1,j,bi,bj) * bbl_RelaxH ) |
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ENDIF |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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C==== Compute meridional bbl exchange. |
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DO j=1-Oly,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx |
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kLowC1 = kLowC(i,j,bi,bj) |
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kLowC2 = kLowC(i,j+1, bi,bj) |
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IF ((kLowC1.GT.0).AND.(kLowC2.GT.0)) THEN |
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C compare the bbl densities at the higher pressure |
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C (highest possible density of given t,s) |
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C bbl in situ density is stored in kLowC + 1 index |
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kl = MAX(kLowC1, kLowC2) + 1 |
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IF ( kl .GT. Nr ) THEN |
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bbl_rho1 = bbl_rho_nr(i,j,bi,bj) |
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bbl_rho2 = bbl_rho_nr(i,j+1,bi,bj) |
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else |
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bbl_rho1 = rhoInSitu(i,j,kl,bi,bj) |
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bbl_rho2 = rhoInSitu(i,j+1,kl,bi,bj) |
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endif |
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deltaRho = bbl_rho2 - bbl_rho1 |
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deltaDpt = R_low(i,j ,bi,bj) + bbl_eta(i,j ,bi,bj) - |
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& R_low(i,j+1,bi,bj) - bbl_eta(i,j+1,bi,bj) |
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|
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C If heavy BBL water is higher than light BBL water, |
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C exchange properties laterally. |
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IF ( (deltaRho*deltaDpt) .LE. 0. ) THEN |
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bbl_TendTheta(i,j,bi,bj) = bbl_TendTheta(i,j,bi,bj) + |
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& ( bbl_theta(i,j+1,bi,bj) - bbl_theta(i,j,bi,bj) ) / |
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& bbl_RelaxH |
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bbl_TendTheta(i,j+1,bi,bj) = bbl_TendTheta(i,j+1,bi,bj) - |
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& ( bbl_theta(i,j+1,bi,bj) - bbl_theta(i,j,bi,bj) ) * |
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& ( rA(i ,j,bi,bj) * bbl_eta(i ,j,bi,bj) ) / |
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& ( rA(i,j+1,bi,bj) * bbl_eta(i,j+1,bi,bj) ) / |
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& bbl_RelaxH |
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bbl_TendSalt(i,j,bi,bj) = bbl_TendSalt(i,j,bi,bj) + |
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& ( bbl_salt(i,j+1,bi,bj) - bbl_salt(i,j,bi,bj) ) / |
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& bbl_RelaxH |
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bbl_TendSalt(i,j+1,bi,bj) = bbl_TendSalt(i,j+1,bi,bj) - |
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& ( bbl_salt(i,j+1,bi,bj)-bbl_salt(i,j,bi,bj)) * |
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& ( rA(i ,j,bi,bj) * bbl_eta(i ,j,bi,bj) ) / |
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& ( rA(i,j+1,bi,bj) * bbl_eta(i,j+1,bi,bj) * bbl_RelaxH ) |
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ENDIF |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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C==== Apply lateral BBL exchange then scale tendency term |
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C for botommost wet grid box. |
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DO j=1-Oly,sNy+Oly-1 |
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DO i=1-Olx,sNx+Olx-1 |
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kBot = kLowC(i,j,bi,bj) |
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IF ( kBot .GT. 0 ) THEN |
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bbl_theta(i,j,bi,bj) = bbl_theta(i,j,bi,bj) + |
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& deltaT * bbl_TendTheta(i,j,bi,bj) |
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bbl_salt (i,j,bi,bj) = bbl_salt (i,j,bi,bj) + |
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& deltaT * bbl_TendSalt (i,j,bi,bj) |
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bbl_TendTheta(i,j,bi,bj) = bbl_TendTheta(i,j,bi,bj) * |
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& bbl_eta(i,j,bi,bj) / (hFacC(i,j,kBot,bi,bj)*drF(kBot)) |
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bbl_TendSalt (i,j,bi,bj) = bbl_TendSalt (i,j,bi,bj) * |
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& bbl_eta(i,j,bi,bj) / (hFacC(i,j,kBot,bi,bj)*drF(kBot)) |
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ENDIF |
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ENDDO |
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ENDDO |
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|
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#ifdef ALLOW_DEBUG |
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IF ( debugLevel .GE. debLevB ) THEN |
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C Check salinity conservation |
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bbl_tend=0 |
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DO j=1,sNy |
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DO i=1,sNx |
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kBot = kLowC(i,j,bi,bj) |
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IF ( kBot .GT. 0 ) THEN |
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bbl_tend = bbl_tend + bbl_TendSalt(i,j,bi,bj) * |
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& hFacC(i,j,kBot,bi,bj) * drF(kBot) *rA(i,j,bi,bj) |
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ENDIF |
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ENDDO |
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ENDDO |
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_GLOBAL_SUM_RL( bbl_tend, myThid ) |
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WRITE(msgBuf,'(A,E10.2)') 'total salt tendency = ', bbl_tend |
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CALL PRINT_MESSAGE( msgBuf, standardMessageUnit, |
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& SQUEEZE_RIGHT, myThid ) |
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ENDIF |
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#endif /* ALLOW_DEBUG */ |
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|
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C-- end bi,bj loops. |
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ENDDO |
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ENDDO |
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|
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CALL EXCH_XY_RL( bbl_theta, myThid ) |
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CALL EXCH_XY_RL( bbl_salt , myThid ) |
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|
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RETURN |
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END |
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