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C $Header: /u/gcmpack/MITgcm/pkg/exf/exf_bulk_largeyeager04.F,v 1.10 2010/05/21 09:58:21 mlosch Exp $ |
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C $Name: $ |
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|
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#include "EXF_OPTIONS.h" |
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|
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CBOP |
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C !ROUTINE: EXF_BULK_LARGEYEAGER04 |
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C !INTERFACE: |
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SUBROUTINE EXF_BULK_LARGEYEAGER04( myTime, myIter, myThid ) |
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|
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | SUBROUTINE EXF_BULK_LARGEYEAGER04 |
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C | o Calculate bulk formula fluxes over open ocean or seaice |
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C | Large and Yeager, 2004, NCAR/TN-460+STR. |
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C *==========================================================* |
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C \ev |
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C |
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C === Turbulent Fluxes : |
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C * use the approach "B": shift coeff to height & stability of the |
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C atmosphere state (instead of "C": shift temp & humid to the height |
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C of wind, then shift the coeff to this height & stability of the atmos). |
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C * similar to EXF (except over sea-ice) ; default parameter values |
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C taken from Large & Yeager. |
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C * assume that Qair & Tair inputs are from the same height (zq=zt) |
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C * formulae in short: |
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C wind stress = (ust,vst) = rhoA * Cd * Ws * (del.u,del.v) |
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C Sensib Heat flux = fsha = rhoA * Ch * Ws * del.T * CpAir |
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C Latent Heat flux = flha = rhoA * Ce * Ws * del.Q * Lvap |
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C = -Evap * Lvap |
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C with Ws = wind speed = sqrt(del.u^2 +del.v^2) ; |
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C del.T = Tair - Tsurf ; del.Q = Qair - Qsurf ; |
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C Cd,Ch,Ce = drag coefficient, Stanton number and Dalton number |
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C respectively [no-units], function of height & stability |
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|
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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
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#include "EEPARAMS.h" |
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#include "SIZE.h" |
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#include "PARAMS.h" |
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#include "DYNVARS.h" |
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#include "GRID.h" |
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|
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#include "EXF_PARAM.h" |
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#include "EXF_FIELDS.h" |
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#include "EXF_CONSTANTS.h" |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C input: |
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C myTime :: Current time in simulation |
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C myIter :: Current iteration number in simulation |
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C myThid :: My Thread Id number |
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_RL myTime |
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INTEGER myIter |
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INTEGER myThid |
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C output: |
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CEOP |
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|
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#ifdef ALLOW_BULK_LARGEYEAGER04 |
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|
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C == external Functions |
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|
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C == Local variables == |
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C i,j :: grid point indices |
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C bi,bj :: tile indices |
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C ssq :: saturation specific humidity [kg/kg] in eq. with Sea-Surface water |
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INTEGER i,j,bi,bj |
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|
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_RL czol |
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_RL Tsf ! surface temperature [K] |
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_RL wsm ! limited wind speed [m/s] (> umin) |
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_RL t0 ! virtual temperature [K] |
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C these need to be 2D-arrays for vectorizing code |
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_RL tstar (1:sNx,1:sNy) ! turbulent temperature scale [K] |
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_RL qstar (1:sNx,1:sNy) ! turbulent humidity scale [kg/kg] |
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_RL ustar (1:sNx,1:sNy) ! friction velocity [m/s] |
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_RL tau (1:sNx,1:sNy) ! surface stress coef = rhoA * Ws * sqrt(Cd) |
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_RL rdn (1:sNx,1:sNy) ! neutral, zref (=10m) values of rd |
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_RL rd (1:sNx,1:sNy) ! = sqrt(Cd) [-] |
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_RL delq (1:sNx,1:sNy) ! specific humidity difference [kg/kg] |
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_RL deltap(1:sNx,1:sNy) |
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C |
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_RL dzTmp |
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_RL SSTtmp |
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_RL ssq |
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_RL re ! = Ce / sqrt(Cd) [-] |
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_RL rh ! = Ch / sqrt(Cd) [-] |
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_RL ren, rhn ! neutral, zref (=10m) values of re, rh |
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_RL usn, usm |
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_RL stable ! = 1 if stable ; = 0 if unstable |
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_RL huol ! stability parameter at zwd [-] (=z/Monin-Obuklov length) |
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_RL htol ! stability parameter at zth [-] |
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_RL hqol |
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_RL x ! stability function [-] |
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_RL xsq ! = x^2 [-] |
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_RL psimh ! momentum stability function |
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_RL psixh ! latent & sensib. stability function |
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_RL zwln ! = log(zwd/zref) |
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_RL ztln ! = log(zth/zref) |
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_RL windStress ! surface wind-stress (@ grid cell center) |
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_RL tmpbulk |
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INTEGER iter |
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C solve4Stress :: if F, by-pass momentum turb. flux (wind-stress) calculation |
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LOGICAL solve4Stress |
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#ifdef ALLOW_ATM_WIND |
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PARAMETER ( solve4Stress = .TRUE. ) |
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#endif |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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integer ikey_1 |
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integer ikey_2 |
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#endif |
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|
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#ifndef ALLOW_ATM_WIND |
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solve4Stress = wspeedfile .NE. ' ' |
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#endif |
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|
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C-- Set surface parameters : |
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zwln = LOG(hu/zref) |
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ztln = LOG(ht/zref) |
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czol = hu*karman*gravity_mks |
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|
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c Loop over tiles. |
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- HPF directive to help TAMC |
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CHPF$ INDEPENDENT |
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#endif |
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DO bj = myByLo(myThid),myByHi(myThid) |
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#ifdef ALLOW_AUTODIFF_TAMC |
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C-- HPF directive to help TAMC |
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CHPF$ INDEPENDENT |
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#endif |
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DO bi = myBxLo(myThid),myBxHi(myThid) |
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DO j = 1,sNy |
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DO i = 1,sNx |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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act1 = bi - myBxLo(myThid) |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
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act2 = bj - myByLo(myThid) |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
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act3 = myThid - 1 |
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max3 = nTx*nTy |
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act4 = ikey_dynamics - 1 |
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|
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ikey_1 = i |
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& + sNx*(j-1) |
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& + sNx*sNy*act1 |
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& + sNx*sNy*max1*act2 |
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& + sNx*sNy*max1*max2*act3 |
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& + sNx*sNy*max1*max2*max3*act4 |
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#endif |
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|
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#ifdef ALLOW_ATM_TEMP |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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deltap(i,j) = 0. _d 0 |
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delq(i,j) = 0. _d 0 |
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#endif |
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C--- Compute turbulent surface fluxes |
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C- Pot. Temp and saturated specific humidity |
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IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
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C- Surface Temp. |
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Tsf = theta(i,j,1,bi,bj) + cen2kel |
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IF ( sstExtrapol.GT.0. _d 0 ) THEN |
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SSTtmp = sstExtrapol |
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& *( theta(i,j,1,bi,bj)-theta(i,j,2,bi,bj) ) |
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& * maskC(i,j,2,bi,bj) |
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Tsf = Tsf + MAX( SSTtmp, 0. _d 0 ) |
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ENDIF |
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c |
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tmpbulk = cvapor_fac*exp(-cvapor_exp/Tsf) |
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ssq = saltsat*tmpbulk/atmrho |
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deltap(i,j) = atemp(i,j,bi,bj) + gamma_blk*ht - Tsf |
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delq(i,j) = aqh(i,j,bi,bj) - ssq |
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C-- no negative evaporation over ocean: |
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IF ( noNegativeEvap ) delq(i,j) = MIN( 0. _d 0, delq(i,j) ) |
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|
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C-- initial guess for exchange coefficients: |
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C take U_N = del.U ; stability from del.Theta ; |
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stable = exf_half + SIGN(exf_half, deltap(i,j)) |
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|
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#ifndef ALLOW_ATM_WIND |
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IF ( solve4Stress ) THEN |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE sh(i,j,bi,bj) = comlev1_exf_1, key = ikey_1 |
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#endif /* ALLOW_AUTODIFF_TAMC */ |
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C-- Wind speed |
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wsm = sh(i,j,bi,bj) |
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tmpbulk = exf_scal_BulkCdn * |
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& ( cdrag_1/wsm + cdrag_2 + cdrag_3*wsm ) |
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rdn(i,j) = SQRT(tmpbulk) |
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ustar(i,j) = rdn(i,j)*wsm |
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#ifndef ALLOW_ATM_WIND |
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ELSE |
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windStress = wStress(i,j,bi,bj) |
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ustar(i,j) = sqrt(windStress/atmrho) |
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c tau(i,j) = windStress/ustar(i,j) |
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tau(i,j) = sqrt(windStress*atmrho) |
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ENDIF |
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#endif /* ALLOW_ATM_WIND */ |
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|
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C-- initial guess for exchange other coefficients: |
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rhn = (exf_one-stable)*cstanton_1 + stable*cstanton_2 |
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ren = cDalton |
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C-- calculate turbulent scales |
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tstar(i,j)=rhn*deltap(i,j) |
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qstar(i,j)=ren*delq(i,j) |
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|
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ELSE |
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C atemp(i,j,bi,bj) .EQ. 0. |
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tstar (i,j) = 0. _d 0 |
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qstar (i,j) = 0. _d 0 |
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ustar (i,j) = 0. _d 0 |
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tau (i,j) = 0. _d 0 |
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rdn (i,j) = 0. _d 0 |
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ENDIF |
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ENDDO |
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ENDDO |
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DO iter=1,niter_bulk |
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DO j = 1,sNy |
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DO i = 1,sNx |
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IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
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C--- iterate with psi-functions to find transfer coefficients |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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ikey_2 = i |
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& + sNx*(j-1) |
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& + sNx*sNy*(iter-1) |
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& + sNx*sNy*niter_bulk*act1 |
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& + sNx*sNy*niter_bulk*max1*act2 |
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& + sNx*sNy*niter_bulk*max1*max2*act3 |
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& + sNx*sNy*niter_bulk*max1*max2*max3*act4 |
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CADJ STORE rdn(i,j) = comlev1_exf_2, key = ikey_2 |
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CADJ STORE ustar(i,j) = comlev1_exf_2, key = ikey_2 |
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CADJ STORE qstar(i,j) = comlev1_exf_2, key = ikey_2 |
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CADJ STORE tstar(i,j) = comlev1_exf_2, key = ikey_2 |
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CADJ STORE sh(i,j,bi,bj) = comlev1_exf_2, key = ikey_2 |
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CADJ STORE wspeed(i,j,bi,bj) = comlev1_exf_2, key = ikey_2 |
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#endif |
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|
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t0 = atemp(i,j,bi,bj)* |
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& (exf_one + humid_fac*aqh(i,j,bi,bj)) |
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huol = ( tstar(i,j)/t0 + |
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& qstar(i,j)/(exf_one/humid_fac+aqh(i,j,bi,bj)) |
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& )*czol/(ustar(i,j)*ustar(i,j)) |
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cph The following is different in Large&Pond1981 code: |
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cph huol = max(huol,zolmin) with zolmin = -100 |
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tmpbulk = MIN(abs(huol),10. _d 0) |
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huol = SIGN(tmpbulk , huol) |
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htol = huol*ht/hu |
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hqol = huol*hq/hu |
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stable = exf_half + sign(exf_half, huol) |
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|
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c Evaluate all stability functions assuming hq = ht. |
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#ifndef ALLOW_ATM_WIND |
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IF ( solve4Stress ) THEN |
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#endif |
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cph The following is different in Large&Pond1981 code: |
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cph xsq = max(sqrt(abs(exf_one - 16.*huol)),exf_one) |
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xsq = SQRT( ABS(exf_one - huol*16. _d 0) ) |
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x = SQRT(xsq) |
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psimh = -psim_fac*huol*stable |
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& +(exf_one-stable)* |
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& ( LOG( (exf_one + exf_two*x + xsq)* |
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& (exf_one+xsq)*.125 _d 0 ) |
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& -exf_two*ATAN(x) + exf_half*pi ) |
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#ifndef ALLOW_ATM_WIND |
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ENDIF |
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#endif |
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cph The following is different in Large&Pond1981 code: |
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cph xsq = max(sqrt(abs(exf_one - 16.*htol)),exf_one) |
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xsq = SQRT( ABS(exf_one - htol*16. _d 0) ) |
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psixh = -psim_fac*htol*stable + (exf_one-stable)* |
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& ( exf_two*LOG(exf_half*(exf_one+xsq)) ) |
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|
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#ifndef ALLOW_ATM_WIND |
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IF ( solve4Stress ) THEN |
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#endif |
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C- Shift wind speed using old coefficient |
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dzTmp = (zwln-psimh)/karman |
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usn = wspeed(i,j,bi,bj) |
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& /(exf_one + rdn(i,j)*dzTmp ) |
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usm = MAX(usn, umin) |
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|
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C- Update the 10m, neutral stability transfer coefficients (momentum) |
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tmpbulk = exf_scal_BulkCdn * |
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& ( cdrag_1/usm + cdrag_2 + cdrag_3*usm ) |
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rdn(i,j) = SQRT(tmpbulk) |
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rd(i,j) = rdn(i,j)/(exf_one + rdn(i,j)*dzTmp) |
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ustar(i,j) = rd(i,j)*sh(i,j,bi,bj) |
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C- Coeff: |
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tau(i,j) = atmrho*rd(i,j)*wspeed(i,j,bi,bj) |
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#ifndef ALLOW_ATM_WIND |
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ENDIF |
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#endif |
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|
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C- Update the 10m, neutral stability transfer coefficients (sens&evap) |
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rhn = (exf_one-stable)*cstanton_1 + stable*cstanton_2 |
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ren = cDalton |
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|
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C- Shift all coefficients to the measurement height and stability. |
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rh = rhn/(exf_one + rhn*(ztln-psixh)/karman) |
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re = ren/(exf_one + ren*(ztln-psixh)/karman) |
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|
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C-- Update ustar, tstar, qstar using updated, shifted coefficients. |
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qstar(i,j) = re*delq(i,j) |
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tstar(i,j) = rh*deltap(i,j) |
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|
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ENDIF |
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ENDDO |
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ENDDO |
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c end of iteration loop |
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ENDDO |
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DO j = 1,sNy |
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DO i = 1,sNx |
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IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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ikey_1 = i |
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& + sNx*(j-1) |
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& + sNx*sNy*act1 |
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& + sNx*sNy*max1*act2 |
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& + sNx*sNy*max1*max2*act3 |
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& + sNx*sNy*max1*max2*max3*act4 |
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CADJ STORE qstar(i,j) = comlev1_exf_1, key = ikey_1 |
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CADJ STORE tstar(i,j) = comlev1_exf_1, key = ikey_1 |
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CADJ STORE tau(i,j) = comlev1_exf_1, key = ikey_1 |
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CADJ STORE rd(i,j) = comlev1_exf_1, key = ikey_1 |
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#endif |
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|
| 338 |
C- Turbulent Fluxes |
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hs(i,j,bi,bj) = atmcp*tau(i,j)*tstar(i,j) |
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hl(i,j,bi,bj) = flamb*tau(i,j)*qstar(i,j) |
| 341 |
#ifndef EXF_READ_EVAP |
| 342 |
C change sign and convert from kg/m^2/s to m/s via rhoConstFresh |
| 343 |
C but older version was using rhonil instead: |
| 344 |
c evap(i,j,bi,bj) = -recip_rhonil*tau(i,j)*qstar(i,j) |
| 345 |
evap(i,j,bi,bj) = -tau(i,j)*qstar(i,j)/rhoConstFresh |
| 346 |
#endif |
| 347 |
#ifdef ALLOW_ATM_WIND |
| 348 |
c ustress(i,j,bi,bj) = tau(i,j)*rd(i,j)*ws*cw(i,j,bi,bj) |
| 349 |
c vstress(i,j,bi,bj) = tau(i,j)*rd(i,j)*ws*sw(i,j,bi,bj) |
| 350 |
C- jmc: below is how it should be written ; different from above when |
| 351 |
C both wind-speed & 2 compon. of the wind are specified, and in |
| 352 |
C- this case, formula below is better. |
| 353 |
ustress(i,j,bi,bj) = tau(i,j)*rd(i,j)*uwind(i,j,bi,bj) |
| 354 |
vstress(i,j,bi,bj) = tau(i,j)*rd(i,j)*vwind(i,j,bi,bj) |
| 355 |
#endif |
| 356 |
|
| 357 |
c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
| 358 |
else |
| 359 |
#ifdef ALLOW_ATM_WIND |
| 360 |
ustress(i,j,bi,bj) = 0. _d 0 |
| 361 |
vstress(i,j,bi,bj) = 0. _d 0 |
| 362 |
#endif /* ALLOW_ATM_WIND */ |
| 363 |
hflux (i,j,bi,bj) = 0. _d 0 |
| 364 |
evap (i,j,bi,bj) = 0. _d 0 |
| 365 |
hs (i,j,bi,bj) = 0. _d 0 |
| 366 |
hl (i,j,bi,bj) = 0. _d 0 |
| 367 |
|
| 368 |
c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
| 369 |
endif |
| 370 |
|
| 371 |
#else /* ifndef ALLOW_ATM_TEMP */ |
| 372 |
#ifdef ALLOW_ATM_WIND |
| 373 |
wsm = sh(i,j,bi,bj) |
| 374 |
tmpbulk = exf_scal_BulkCdn * |
| 375 |
& ( cdrag_1/wsm + cdrag_2 + cdrag_3*wsm ) |
| 376 |
ustress(i,j,bi,bj) = atmrho*tmpbulk*wspeed(i,j,bi,bj)* |
| 377 |
& uwind(i,j,bi,bj) |
| 378 |
vstress(i,j,bi,bj) = atmrho*tmpbulk*wspeed(i,j,bi,bj)* |
| 379 |
& vwind(i,j,bi,bj) |
| 380 |
#endif |
| 381 |
#endif /* ifndef ALLOW_ATM_TEMP */ |
| 382 |
ENDDO |
| 383 |
ENDDO |
| 384 |
ENDDO |
| 385 |
ENDDO |
| 386 |
|
| 387 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 388 |
|
| 389 |
RETURN |
| 390 |
END |
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