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C $Header: /u/gcmpack/MITgcm/pkg/bbl/bbl_calc_rhs.F,v 1.7 2012/04/03 16:45:45 jmc 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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|
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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 d,r :: Donnor/Receiver 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 thk_d :: thickness of donnor bottommost wet grid cell |
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C thk_r :: thickness of receiver bottommost wet grid cell |
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C bblEta_d :: bbl_eta of donnor cell |
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C bblEta_r :: bbl_eta of receiver cell |
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C resThk_r :: thk_r - bblEta_r |
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C Theta_r :: Theta of receiver cell |
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C bblTheta_d:: Theta of donnor bbl |
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C bblTheta_r:: Theta of receiver bbl |
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C resTheta_r:: Theta of resThk_r |
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C Salt_r :: Salt of receiver cell |
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C bblSalt_d :: Salt of donnor bbl |
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C bblSalt_r :: Salt of receiver bbl |
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C resSalt_r :: Salt of resThk_r |
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C deltaRho :: density change |
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C deltaDpt :: depth change |
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C dVol :: horizontal volume transport |
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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 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, d, r, kBot, kLowC1, kLowC2, kl |
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_RL thk_d, thk_r, bblEta_d, bblEta_r, resThk_r |
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_RL Theta_r, bblTheta_d, bblTheta_r, resTheta_r |
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_RL Salt_r, bblSalt_d, bblSalt_r, resSalt_r |
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_RL deltaRho, deltaDpt, dVol, bbl_tend |
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_RL sloc ( 0:sNx+1, 0:sNy+1 ) |
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_RL tloc ( 0:sNx+1, 0:sNy+1 ) |
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_RL rholoc ( 0:sNx+1, 0:sNy+1 ) |
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_RL rhoBBL ( 0:sNx+1, 0:sNy+1 ) |
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_RL bbl_rho1, bbl_rho2 |
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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, make local copy of |
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C bottomost temperature, salinity, in-situ density |
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C and in-situ BBL density. |
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DO j=0,sNy+1 |
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DO i=0,sNx+1 |
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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=0,sNy+1 |
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DO i=0,sNx+1 |
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c DO j=-oly,sNy+oly |
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c DO i=-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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C If model density is lower than BBL, slowly diffuse upward. |
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IF ( rhoLoc(i,j) .LT. rhoBBL(i,j) ) |
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& bbl_eta(i,j,bi,bj) = max ( 0. _d 0 , |
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& bbl_eta(i,j,bi,bj) - bbl_wvel * dTtracerLev(kBot) ) |
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C If model density is higher than BBL then mix instantly. |
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IF ( rhoLoc(i,j) .GE. rhoBBL(i,j) .OR. |
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& bbl_eta(i,j,bi,bj) .EQ. 0. _d 0 ) 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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bbl_eta (i,j,bi,bj) = 0. _d 0 |
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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 at northern edge. |
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j=sNy |
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DO i=0,sNx+1 |
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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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|
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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 k > kLowC indices |
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kl = MAX(kLowC1,kLowC2) + 1 |
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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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IF ( deltaDpt .GT. 0. ) THEN |
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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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ELSE |
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bbl_rho1 = rhoInSitu(i,j,kl,bi,bj) |
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ENDIF |
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bbl_rho2 = rhoInSitu(i,j+1,kLowC2,bi,bj) |
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ELSE |
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bbl_rho1 = rhoInSitu(i,j,kLowC1,bi,bj) |
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IF ( kl .GT. Nr ) THEN |
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bbl_rho2 = bbl_rho_nr(i,j+1,bi,bj) |
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ELSE |
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bbl_rho2 = rhoInSitu(i,j+1,kl,bi,bj) |
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ENDIF |
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ENDIF |
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deltaRho = bbl_rho2 - bbl_rho1 |
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IF ( (deltaRho*deltaDpt) .LT. 0. ) THEN |
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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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|
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C Determine donnor and receiver cells. |
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IF ( bbl_rho1 .GT. bbl_rho2 ) THEN |
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d = j |
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r = j + 1 |
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ELSE |
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d = j + 1 |
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r = j |
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ENDIF |
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|
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C Replenish thickness of donor cell, if needed. |
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thk_d = drF(kLowC(i,d,bi,bj)) * |
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& hFacC(i,d,kLowC(i,d,bi,bj),bi,bj) |
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IF ( ( bbl_theta(i,d,bi,bj) .EQ. tloc(i,d) ) .AND. |
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& ( bbl_salt (i,d,bi,bj) .EQ. sloc(i,d) ) .AND. |
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& ( bbl_eta (i,d,bi,bj) .LT. bbl_initEta ) ) |
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& bbl_eta(i,d,bi,bj) = min ( bbl_initEta, thk_d ) |
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|
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C Compute some donnor and receiver cell properties. |
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thk_r = drF(kLowC(i,r,bi,bj)) * |
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& hFacC(i,r,kLowC(i,r,bi,bj),bi,bj) |
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Theta_r = tLoc(i,r) |
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Salt_r = sLoc(i,r) |
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bblTheta_d = bbl_theta(i,d,bi,bj) |
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bblTheta_r = bbl_theta(i,r,bi,bj) |
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bblSalt_d = bbl_salt (i,d,bi,bj) |
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bblSalt_r = bbl_salt (i,r,bi,bj) |
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bblEta_d = bbl_eta (i,d,bi,bj) |
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bblEta_r = bbl_eta (i,r,bi,bj) |
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resThk_r = thk_r - bblEta_r |
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resTheta_r = (Theta_r*thk_r-bblTheta_r*bblEta_r)/resThk_r |
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resSalt_r = (Salt_r *thk_r-bblSalt_r *bblEta_r)/resThk_r |
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|
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C Compute volume transport from donnor to receiver. |
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dVol = min ( bblEta_d * rA(i,d,bi,bj) / 2. _d 0, |
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& resThk_r * rA(i,r,bi,bj) / 2. _d 0, |
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& dxG(i,j+1,bi,bj) * bblEta_d * bbl_hvel * deltaT ) |
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|
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C Compute temperature tracer tendencies for donor and receiver cell. |
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bbl_tend = dVol * (bblTheta_d - resTheta_r) / deltaT |
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bbl_TendTheta(i,d,bi,bj) = bbl_TendTheta(i,d,bi,bj) - |
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& bbl_tend / rA(i,d,bi,bj) / thk_d |
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bbl_TendTheta(i,r,bi,bj) = bbl_TendTheta(i,r,bi,bj) + |
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& bbl_tend / rA(i,r,bi,bj) / thk_r |
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|
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C Compute salinity tracer tendencies for donor and receiver cell. |
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bbl_tend = dVol * (bblSalt_d - resSalt_r) / deltaT |
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bbl_TendSalt(i,d,bi,bj) = bbl_TendSalt(i,d,bi,bj) - |
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& bbl_tend / rA(i,d,bi,bj) / thk_d |
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bbl_TendSalt(i,r,bi,bj) = bbl_TendSalt(i,r,bi,bj) + |
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& bbl_tend / rA(i,r,bi,bj) / thk_r |
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|
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C Adjust pbl thickness and tracer properties. |
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bbl_eta(i,d,bi,bj) = bblEta_d - dVol / rA(i,d,bi,bj) |
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IF ( bbl_eta(i,d,bi,bj) .LT. 0.0001 ) THEN |
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bbl_eta(i,d,bi,bj) = 0. _d 0 |
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bbl_theta(i,d,bi,bj) = tLoc(i,d) |
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bbl_salt (i,d,bi,bj) = sLoc(i,d) |
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ENDIF |
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bbl_eta(i,r,bi,bj) = bblEta_r + dVol / rA(i,r,bi,bj) |
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bbl_theta(i,r,bi,bj) = ( dVol * bblTheta_d + |
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& bblEta_r * rA(i,r,bi,bj) * bblTheta_r ) / |
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& ( bbl_eta(i,r,bi,bj) * rA(i,r,bi,bj) ) |
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bbl_salt(i,r,bi,bj) = ( dVol * bblSalt_d + |
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& bblEta_r * rA(i,r,bi,bj) * bblSalt_r ) / |
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& ( bbl_eta(i,r,bi,bj) * rA(i,r,bi,bj) ) |
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ENDIF |
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ENDIF |
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ENDDO |
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|
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C==== Compute meridional bbl exchange inside tile. |
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DO j=0,sNy-1 |
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DO i=0,sNx+1 |
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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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|
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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 k > kLowC indices |
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kl = MAX(kLowC1,kLowC2) + 1 |
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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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IF ( deltaDpt .GT. 0. ) THEN |
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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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ELSE |
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bbl_rho1 = rhoInSitu(i,j,kl,bi,bj) |
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ENDIF |
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bbl_rho2 = rhoInSitu(i,j+1,kLowC2,bi,bj) |
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ELSE |
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bbl_rho1 = rhoInSitu(i,j,kLowC1,bi,bj) |
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IF ( kl .GT. Nr ) THEN |
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bbl_rho2 = bbl_rho_nr(i,j+1,bi,bj) |
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ELSE |
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bbl_rho2 = rhoInSitu(i,j+1,kl,bi,bj) |
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ENDIF |
| 256 |
ENDIF |
| 257 |
deltaRho = bbl_rho2 - bbl_rho1 |
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IF ( (deltaRho*deltaDpt) .LT. 0. ) THEN |
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C If heavy BBL water is higher than light BBL water, |
| 260 |
C exchange properties laterally. |
| 261 |
|
| 262 |
C Determine donnor and receiver cells. |
| 263 |
IF ( bbl_rho1 .GT. bbl_rho2 ) THEN |
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d = j |
| 265 |
r = j + 1 |
| 266 |
ELSE |
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d = j + 1 |
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r = j |
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ENDIF |
| 270 |
|
| 271 |
C Replenish thickness of donor cell, if needed. |
| 272 |
thk_d = drF(kLowC(i,d,bi,bj)) * |
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& hFacC(i,d,kLowC(i,d,bi,bj),bi,bj) |
| 274 |
IF ( ( bbl_theta(i,d,bi,bj) .EQ. tloc(i,d) ) .AND. |
| 275 |
& ( bbl_salt (i,d,bi,bj) .EQ. sloc(i,d) ) .AND. |
| 276 |
& ( bbl_eta (i,d,bi,bj) .LT. bbl_initEta ) ) |
| 277 |
& bbl_eta(i,d,bi,bj) = min ( bbl_initEta, thk_d ) |
| 278 |
|
| 279 |
C Compute some donnor and receiver cell properties. |
| 280 |
thk_r = drF(kLowC(i,r,bi,bj)) * |
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& hFacC(i,r,kLowC(i,r,bi,bj),bi,bj) |
| 282 |
Theta_r = tLoc(i,r) |
| 283 |
Salt_r = sLoc(i,r) |
| 284 |
bblTheta_d = bbl_theta(i,d,bi,bj) |
| 285 |
bblTheta_r = bbl_theta(i,r,bi,bj) |
| 286 |
bblSalt_d = bbl_salt (i,d,bi,bj) |
| 287 |
bblSalt_r = bbl_salt (i,r,bi,bj) |
| 288 |
bblEta_d = bbl_eta (i,d,bi,bj) |
| 289 |
bblEta_r = bbl_eta (i,r,bi,bj) |
| 290 |
resThk_r = thk_r - bblEta_r |
| 291 |
resTheta_r = (Theta_r*thk_r-bblTheta_r*bblEta_r)/resThk_r |
| 292 |
resSalt_r = (Salt_r *thk_r-bblSalt_r *bblEta_r)/resThk_r |
| 293 |
|
| 294 |
C Compute volume transport from donnor to receiver. |
| 295 |
dVol = min ( bblEta_d * rA(i,d,bi,bj) / 2. _d 0, |
| 296 |
& resThk_r * rA(i,r,bi,bj) / 2. _d 0, |
| 297 |
& dxG(i,j+1,bi,bj) * bblEta_d * bbl_hvel * deltaT ) |
| 298 |
|
| 299 |
C Compute temperature tracer tendencies for donor and receiver cell. |
| 300 |
bbl_tend = dVol * (bblTheta_d - resTheta_r) / deltaT |
| 301 |
bbl_TendTheta(i,d,bi,bj) = bbl_TendTheta(i,d,bi,bj) - |
| 302 |
& bbl_tend / rA(i,d,bi,bj) / thk_d |
| 303 |
bbl_TendTheta(i,r,bi,bj) = bbl_TendTheta(i,r,bi,bj) + |
| 304 |
& bbl_tend / rA(i,r,bi,bj) / thk_r |
| 305 |
|
| 306 |
C Compute salinity tracer tendencies for donor and receiver cell. |
| 307 |
bbl_tend = dVol * (bblSalt_d - resSalt_r) / deltaT |
| 308 |
bbl_TendSalt(i,d,bi,bj) = bbl_TendSalt(i,d,bi,bj) - |
| 309 |
& bbl_tend / rA(i,d,bi,bj) / thk_d |
| 310 |
bbl_TendSalt(i,r,bi,bj) = bbl_TendSalt(i,r,bi,bj) + |
| 311 |
& bbl_tend / rA(i,r,bi,bj) / thk_r |
| 312 |
|
| 313 |
C Adjust pbl thickness and tracer properties. |
| 314 |
bbl_eta(i,d,bi,bj) = bblEta_d - dVol / rA(i,d,bi,bj) |
| 315 |
IF ( bbl_eta(i,d,bi,bj) .LT. 0.0001 ) THEN |
| 316 |
bbl_eta(i,d,bi,bj) = 0. _d 0 |
| 317 |
bbl_theta(i,d,bi,bj) = tLoc(i,d) |
| 318 |
bbl_salt (i,d,bi,bj) = sLoc(i,d) |
| 319 |
ENDIF |
| 320 |
bbl_eta(i,r,bi,bj) = bblEta_r + dVol / rA(i,r,bi,bj) |
| 321 |
bbl_theta(i,r,bi,bj) = ( dVol * bblTheta_d + |
| 322 |
& bblEta_r * rA(i,r,bi,bj) * bblTheta_r ) / |
| 323 |
& ( bbl_eta(i,r,bi,bj) * rA(i,r,bi,bj) ) |
| 324 |
bbl_salt(i,r,bi,bj) = ( dVol * bblSalt_d + |
| 325 |
& bblEta_r * rA(i,r,bi,bj) * bblSalt_r ) / |
| 326 |
& ( bbl_eta(i,r,bi,bj) * rA(i,r,bi,bj) ) |
| 327 |
ENDIF |
| 328 |
ENDIF |
| 329 |
ENDDO |
| 330 |
ENDDO |
| 331 |
|
| 332 |
C==== Compute zonal bbl exchange at Eastern edge. |
| 333 |
i=sNx |
| 334 |
DO j=1,sNy |
| 335 |
kLowC1 = kLowC(i ,j,bi,bj) |
| 336 |
kLowC2 = kLowC(i+1,j,bi,bj) |
| 337 |
IF ((kLowC1.GT.0).AND.(kLowC2.GT.0)) THEN |
| 338 |
|
| 339 |
C Compare the bbl densities at the higher pressure |
| 340 |
C (highest possible density of given t,s) |
| 341 |
C bbl in situ density is stored in k > kLowC indices |
| 342 |
kl = MAX(kLowC1,kLowC2) + 1 |
| 343 |
deltaDpt = R_low(i,j,bi,bj) + bbl_eta(i,j,bi,bj) - |
| 344 |
& R_low(i+1,j,bi,bj) - bbl_eta(i+1,j,bi,bj) |
| 345 |
IF ( deltaDpt .GT. 0. ) THEN |
| 346 |
IF ( kl .GT. Nr ) THEN |
| 347 |
bbl_rho1 = bbl_rho_nr(i,j,bi,bj) |
| 348 |
ELSE |
| 349 |
bbl_rho1 = rhoInSitu(i,j,kl,bi,bj) |
| 350 |
ENDIF |
| 351 |
bbl_rho2 = rhoInSitu(i+1,j,kLowC2,bi,bj) |
| 352 |
ELSE |
| 353 |
bbl_rho1 = rhoInSitu(i,j,kLowC1,bi,bj) |
| 354 |
IF ( kl .GT. Nr ) THEN |
| 355 |
bbl_rho2 = bbl_rho_nr(i+1,j,bi,bj) |
| 356 |
ELSE |
| 357 |
bbl_rho2 = rhoInSitu(i+1,j,kl,bi,bj) |
| 358 |
ENDIF |
| 359 |
ENDIF |
| 360 |
deltaRho = bbl_rho2 - bbl_rho1 |
| 361 |
IF ( (deltaRho*deltaDpt) .LT. 0. ) THEN |
| 362 |
C If heavy BBL water is higher than light BBL water, |
| 363 |
C exchange properties laterally. |
| 364 |
|
| 365 |
C Determine donnor and receiver cells. |
| 366 |
IF ( bbl_rho1 .GT. bbl_rho2 ) THEN |
| 367 |
d = i |
| 368 |
r = i + 1 |
| 369 |
ELSE |
| 370 |
d = i + 1 |
| 371 |
r = i |
| 372 |
ENDIF |
| 373 |
|
| 374 |
C Replenish thickness of donor cell, if needed. |
| 375 |
thk_d = drF(kLowC(d,j,bi,bj)) * |
| 376 |
& hFacC(d,j,kLowC(d,j,bi,bj),bi,bj) |
| 377 |
IF ( ( bbl_theta(d,j,bi,bj) .EQ. tloc(d,j) ) .AND. |
| 378 |
& ( bbl_salt (d,j,bi,bj) .EQ. sloc(d,j) ) .AND. |
| 379 |
& ( bbl_eta (d,j,bi,bj) .LT. bbl_initEta ) ) |
| 380 |
& bbl_eta(d,j,bi,bj) = min ( bbl_initEta, thk_d ) |
| 381 |
|
| 382 |
C Compute some donnor and receiver cell properties. |
| 383 |
thk_r = drF(kLowC(r,j,bi,bj)) * |
| 384 |
& hFacC(r,j,kLowC(r,j,bi,bj),bi,bj) |
| 385 |
Theta_r = tLoc(r,j) |
| 386 |
Salt_r = sLoc(r,j) |
| 387 |
bblTheta_d = bbl_theta(d,j,bi,bj) |
| 388 |
bblTheta_r = bbl_theta(r,j,bi,bj) |
| 389 |
bblSalt_d = bbl_salt (d,j,bi,bj) |
| 390 |
bblSalt_r = bbl_salt (r,j,bi,bj) |
| 391 |
bblEta_d = bbl_eta (d,j,bi,bj) |
| 392 |
bblEta_r = bbl_eta (r,j,bi,bj) |
| 393 |
resThk_r = thk_r - bblEta_r |
| 394 |
resTheta_r = (Theta_r*thk_r-bblTheta_r*bblEta_r)/resThk_r |
| 395 |
resSalt_r = (Salt_r *thk_r-bblSalt_r *bblEta_r)/resThk_r |
| 396 |
|
| 397 |
C Compute volume transport from donnor to receiver. |
| 398 |
dVol = min ( bblEta_d * rA(d,j,bi,bj) / 2. _d 0, |
| 399 |
& resThk_r * rA(r,j,bi,bj) / 2. _d 0, |
| 400 |
& dxG(i+1,j,bi,bj) * bblEta_d * bbl_hvel * deltaT ) |
| 401 |
|
| 402 |
C Compute temperature tracer tendencies for donor and receiver cell. |
| 403 |
bbl_tend = dVol * (bblTheta_d - resTheta_r) / deltaT |
| 404 |
bbl_TendTheta(d,j,bi,bj) = bbl_TendTheta(d,j,bi,bj) - |
| 405 |
& bbl_tend / rA(d,j,bi,bj) / thk_d |
| 406 |
bbl_TendTheta(r,j,bi,bj) = bbl_TendTheta(r,j,bi,bj) + |
| 407 |
& bbl_tend / rA(r,j,bi,bj) / thk_r |
| 408 |
|
| 409 |
C Compute salinity tracer tendencies for donor and receiver cell. |
| 410 |
bbl_tend = dVol * (bblSalt_d - resSalt_r) / deltaT |
| 411 |
bbl_TendSalt(d,j,bi,bj) = bbl_TendSalt(d,j,bi,bj) - |
| 412 |
& bbl_tend / rA(d,j,bi,bj) / thk_d |
| 413 |
bbl_TendSalt(r,j,bi,bj) = bbl_TendSalt(r,j,bi,bj) + |
| 414 |
& bbl_tend / rA(r,j,bi,bj) / thk_r |
| 415 |
|
| 416 |
C Adjust pbl thickness and tracer properties. |
| 417 |
bbl_eta(d,j,bi,bj) = bblEta_d - dVol / rA(d,j,bi,bj) |
| 418 |
IF ( bbl_eta(d,j,bi,bj) .LT. 0.0001 ) THEN |
| 419 |
bbl_eta(d,j,bi,bj) = 0. _d 0 |
| 420 |
bbl_theta(d,j,bi,bj) = tLoc(d,j) |
| 421 |
bbl_salt (d,j,bi,bj) = sLoc(d,j) |
| 422 |
ENDIF |
| 423 |
bbl_eta(r,j,bi,bj) = bblEta_r + dVol / rA(r,j,bi,bj) |
| 424 |
bbl_theta(r,j,bi,bj) = ( dVol * bblTheta_d + |
| 425 |
& bblEta_r * rA(r,j,bi,bj) * bblTheta_r ) / |
| 426 |
& ( bbl_eta(r,j,bi,bj) * rA(r,j,bi,bj) ) |
| 427 |
bbl_salt(r,j,bi,bj) = ( dVol * bblSalt_d + |
| 428 |
& bblEta_r * rA(r,j,bi,bj) * bblSalt_r ) / |
| 429 |
& ( bbl_eta(r,j,bi,bj) * rA(r,j,bi,bj) ) |
| 430 |
ENDIF |
| 431 |
ENDIF |
| 432 |
ENDDO |
| 433 |
|
| 434 |
C==== Compute zonal bbl exchange inside tile. |
| 435 |
DO j=1,sNy |
| 436 |
DO i=0,sNx-1 |
| 437 |
kLowC1 = kLowC(i ,j,bi,bj) |
| 438 |
kLowC2 = kLowC(i+1,j,bi,bj) |
| 439 |
IF ((kLowC1.GT.0).AND.(kLowC2.GT.0)) THEN |
| 440 |
|
| 441 |
C Compare the bbl densities at the higher pressure |
| 442 |
C (highest possible density of given t,s) |
| 443 |
C bbl in situ density is stored in k > kLowC indices |
| 444 |
kl = MAX(kLowC1,kLowC2) + 1 |
| 445 |
deltaDpt = R_low(i,j,bi,bj) + bbl_eta(i,j,bi,bj) - |
| 446 |
& R_low(i+1,j,bi,bj) - bbl_eta(i+1,j,bi,bj) |
| 447 |
IF ( deltaDpt .GT. 0. ) THEN |
| 448 |
IF ( kl .GT. Nr ) THEN |
| 449 |
bbl_rho1 = bbl_rho_nr(i,j,bi,bj) |
| 450 |
ELSE |
| 451 |
bbl_rho1 = rhoInSitu(i,j,kl,bi,bj) |
| 452 |
ENDIF |
| 453 |
bbl_rho2 = rhoInSitu(i+1,j,kLowC2,bi,bj) |
| 454 |
ELSE |
| 455 |
bbl_rho1 = rhoInSitu(i,j,kLowC1,bi,bj) |
| 456 |
IF ( kl .GT. Nr ) THEN |
| 457 |
bbl_rho2 = bbl_rho_nr(i+1,j,bi,bj) |
| 458 |
ELSE |
| 459 |
bbl_rho2 = rhoInSitu(i+1,j,kl,bi,bj) |
| 460 |
ENDIF |
| 461 |
ENDIF |
| 462 |
deltaRho = bbl_rho2 - bbl_rho1 |
| 463 |
IF ( (deltaRho*deltaDpt) .LT. 0. ) THEN |
| 464 |
C If heavy BBL water is higher than light BBL water, |
| 465 |
C exchange properties laterally. |
| 466 |
|
| 467 |
C Determine donnor and receiver cells. |
| 468 |
IF ( bbl_rho1 .GT. bbl_rho2 ) THEN |
| 469 |
d = i |
| 470 |
r = i + 1 |
| 471 |
ELSE |
| 472 |
d = i + 1 |
| 473 |
r = i |
| 474 |
ENDIF |
| 475 |
|
| 476 |
C Replenish thickness of donor cell, if needed. |
| 477 |
thk_d = drF(kLowC(d,j,bi,bj)) * |
| 478 |
& hFacC(d,j,kLowC(d,j,bi,bj),bi,bj) |
| 479 |
IF ( ( bbl_theta(d,j,bi,bj) .EQ. tloc(d,j) ) .AND. |
| 480 |
& ( bbl_salt (d,j,bi,bj) .EQ. sloc(d,j) ) .AND. |
| 481 |
& ( bbl_eta (d,j,bi,bj) .LT. bbl_initEta ) ) |
| 482 |
& bbl_eta(d,j,bi,bj) = min ( bbl_initEta, thk_d ) |
| 483 |
|
| 484 |
C Compute some donnor and receiver cell properties. |
| 485 |
thk_r = drF(kLowC(r,j,bi,bj)) * |
| 486 |
& hFacC(r,j,kLowC(r,j,bi,bj),bi,bj) |
| 487 |
Theta_r = tLoc(r,j) |
| 488 |
Salt_r = sLoc(r,j) |
| 489 |
bblTheta_d = bbl_theta(d,j,bi,bj) |
| 490 |
bblTheta_r = bbl_theta(r,j,bi,bj) |
| 491 |
bblSalt_d = bbl_salt (d,j,bi,bj) |
| 492 |
bblSalt_r = bbl_salt (r,j,bi,bj) |
| 493 |
bblEta_d = bbl_eta (d,j,bi,bj) |
| 494 |
bblEta_r = bbl_eta (r,j,bi,bj) |
| 495 |
resThk_r = thk_r - bblEta_r |
| 496 |
resTheta_r = (Theta_r*thk_r-bblTheta_r*bblEta_r)/resThk_r |
| 497 |
resSalt_r = (Salt_r *thk_r-bblSalt_r *bblEta_r)/resThk_r |
| 498 |
|
| 499 |
C Compute volume transport from donnor to receiver. |
| 500 |
dVol = min ( bblEta_d * rA(d,j,bi,bj) / 2. _d 0, |
| 501 |
& resThk_r * rA(r,j,bi,bj) / 2. _d 0, |
| 502 |
& dxG(i+1,j,bi,bj) * bblEta_d * bbl_hvel * deltaT ) |
| 503 |
|
| 504 |
C Compute temperature tracer tendencies for donor and receiver cell. |
| 505 |
bbl_tend = dVol * (bblTheta_d - resTheta_r) / deltaT |
| 506 |
bbl_TendTheta(d,j,bi,bj) = bbl_TendTheta(d,j,bi,bj) - |
| 507 |
& bbl_tend / rA(d,j,bi,bj) / thk_d |
| 508 |
bbl_TendTheta(r,j,bi,bj) = bbl_TendTheta(r,j,bi,bj) + |
| 509 |
& bbl_tend / rA(r,j,bi,bj) / thk_r |
| 510 |
|
| 511 |
C Compute salinity tracer tendencies for donor and receiver cell. |
| 512 |
bbl_tend = dVol * (bblSalt_d - resSalt_r) / deltaT |
| 513 |
bbl_TendSalt(d,j,bi,bj) = bbl_TendSalt(d,j,bi,bj) - |
| 514 |
& bbl_tend / rA(d,j,bi,bj) / thk_d |
| 515 |
bbl_TendSalt(r,j,bi,bj) = bbl_TendSalt(r,j,bi,bj) + |
| 516 |
& bbl_tend / rA(r,j,bi,bj) / thk_r |
| 517 |
|
| 518 |
C Adjust pbl thickness and tracer properties. |
| 519 |
bbl_eta(d,j,bi,bj) = bblEta_d - dVol / rA(d,j,bi,bj) |
| 520 |
IF ( bbl_eta(d,j,bi,bj) .LT. 0.0001 ) THEN |
| 521 |
bbl_eta(d,j,bi,bj) = 0. _d 0 |
| 522 |
bbl_theta(d,j,bi,bj) = tLoc(d,j) |
| 523 |
bbl_salt (d,j,bi,bj) = sLoc(d,j) |
| 524 |
ENDIF |
| 525 |
bbl_eta(r,j,bi,bj) = bblEta_r + dVol / rA(r,j,bi,bj) |
| 526 |
bbl_theta(r,j,bi,bj) = ( dVol * bblTheta_d + |
| 527 |
& bblEta_r * rA(r,j,bi,bj) * bblTheta_r ) / |
| 528 |
& ( bbl_eta(r,j,bi,bj) * rA(r,j,bi,bj) ) |
| 529 |
bbl_salt(r,j,bi,bj) = ( dVol * bblSalt_d + |
| 530 |
& bblEta_r * rA(r,j,bi,bj) * bblSalt_r ) / |
| 531 |
& ( bbl_eta(r,j,bi,bj) * rA(r,j,bi,bj) ) |
| 532 |
ENDIF |
| 533 |
ENDIF |
| 534 |
ENDDO |
| 535 |
ENDDO |
| 536 |
|
| 537 |
C-- end bi,bj loops. |
| 538 |
ENDDO |
| 539 |
ENDDO |
| 540 |
|
| 541 |
CALL EXCH_XY_RL( bbl_eta , myThid ) |
| 542 |
CALL EXCH_XY_RL( bbl_theta , myThid ) |
| 543 |
CALL EXCH_XY_RL( bbl_salt , myThid ) |
| 544 |
CALL EXCH_XY_RL( bbl_TendTheta, myThid ) |
| 545 |
CALL EXCH_XY_RL( bbl_TendSalt , myThid ) |
| 546 |
|
| 547 |
RETURN |
| 548 |
END |
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