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C $Header: /u/gcmpack/MITgcm/pkg/exf/exf_bulk_largeyeager04.F,v 1.2 2007/05/07 19:35:20 jmc Exp $ |
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C $Name: $ |
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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 == 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 Ts2 ! surface temperature square [K^2] |
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_RL ws |
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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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_RL delq ! specific humidity difference [kg/kg] |
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_RL deltap |
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_RL ustar ! friction velocity [m/s] |
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_RL tstar ! turbulent temperature scale [K] |
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_RL qstar ! turbulent humidity scale [kg/kg] |
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_RL ssttmp |
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_RL ssq |
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_RL rd ! = sqrt(Cd) [-] |
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_RL re ! = Ce / sqrt(Cd) [-] |
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_RL rh ! = Ch / sqrt(Cd) [-] |
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_RL rdn, ren, rhn ! neutral, zref (=10m) values of rd, 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 tau ! surface stress coef = rhoA * Ws * sqrt(Cd) |
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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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#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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C == external Functions |
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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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#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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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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#ifdef ALLOW_ATM_TEMP |
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C- Surface Temp. |
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ssttmp = theta(i,j,1,bi,bj) |
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Tsf = ssttmp + cen2kel |
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Ts2 = Tsf*Tsf |
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C- Wind speed |
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ws = us(i,j,bi,bj) |
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wsm = sh(i,j,bi,bj) |
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|
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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 |
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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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tmpbulk = cvapor_fac*exp(-cvapor_exp/Tsf) |
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ssq = saltsat*tmpbulk/atmrho |
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deltap = atemp(i,j,bi,bj) + gamma_blk*ht - Tsf |
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delq = aqh(i,j,bi,bj) - ssq |
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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) |
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|
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#ifdef ALLOW_ATM_WIND |
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tmpbulk = cdrag_1/wsm + cdrag_2 + cdrag_3*wsm |
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rdn = SQRT(tmpbulk) |
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ustar=rdn*wsm |
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#else /* ifndef ALLOW_ATM_WIND */ |
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C in this case ustress and vstress are defined a u and v points |
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C respectively, and we need to average to mass points to avoid |
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C windStress = 0 near coasts or other boundaries |
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windStress = sqrt( 0.5 _d 0* |
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& (ustress(i, j,bi,bj)*ustress(i ,j,bi,bj) |
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& +ustress(i+1,j,bi,bj)*ustress(i+1,j,bi,bj) |
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& +vstress(i,j, bi,bj)*vstress(i,j ,bi,bj) |
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& +vstress(i,j+1,bi,bj)*vstress(i,j+1,bi,bj) |
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& ) ) |
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ustar = sqrt(windStress/atmrho) |
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c tau = windStress/ustar |
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tau = sqrt(windStress*atmrho) |
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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=rhn*deltap |
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qstar=ren*delq |
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C--- iterate with psi-functions to find transfer coefficients |
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DO iter=1,niter_bulk |
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#ifdef ALLOW_AUTODIFF_TAMC |
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ikey_2 = iter |
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& + niter_bulk*(i-1) |
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& + niter_bulk*sNx*(j-1) |
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& + niter_bulk*sNx*sNy*act1 |
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& + niter_bulk*sNx*sNy*max1*act2 |
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& + niter_bulk*sNx*sNy*max1*max2*act3 |
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& + niter_bulk*sNx*sNy*max1*max2*max3*act4 |
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CADJ STORE rdn = comlev1_exf_2, key = ikey_2 |
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CADJ STORE ustar = comlev1_exf_2, key = ikey_2 |
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CADJ STORE qstar = comlev1_exf_2, key = ikey_2 |
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CADJ STORE tstar = 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 us(i,j,bi,bj) = comlev1_exf_2, key = ikey_2 |
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#endif |
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|
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huol = ( tstar/t0 + |
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& qstar/(exf_one/humid_fac+aqh(i,j,bi,bj)) |
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& )*czol/(ustar*ustar) |
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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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#ifdef ALLOW_ATM_WIND |
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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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#endif /* ALLOW_ATM_WIND */ |
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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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#ifdef ALLOW_ATM_WIND |
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C- Shift wind speed using old coefficient |
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usn = ws/(exf_one + rdn/karman*(zwln-psimh) ) |
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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 = cdrag_1/usm + cdrag_2 + cdrag_3*usm |
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rdn = SQRT(tmpbulk) |
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rd = rdn/(exf_one + rdn*(zwln-psimh)/karman) |
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ustar = rd*wsm |
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C- Coeff: |
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tau = atmrho*rd*ws |
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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 = re*delq |
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tstar = rh*deltap |
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|
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c end of iteration loop |
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ENDDO |
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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE ustar = comlev1_exf_1, key = ikey_1 |
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CADJ STORE qstar = comlev1_exf_1, key = ikey_1 |
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CADJ STORE tstar = comlev1_exf_1, key = ikey_1 |
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CADJ STORE tau = comlev1_exf_1, key = ikey_1 |
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CADJ STORE cw(i,j,bi ,bj) = comlev1_exf_1, key = ikey_1 |
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CADJ STORE sw(i,j,bi,bj) = comlev1_exf_1, key = ikey_1 |
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#endif |
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|
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C- Turbulent Fluxes |
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hs(i,j,bi,bj) = atmcp*tau*tstar |
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hl(i,j,bi,bj) = flamb*tau*qstar |
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#ifndef EXF_READ_EVAP |
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cdm !!! need to change sign and to convert from kg/m^2/s to m/s via recip_rhonil !!! |
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cph rhonil should be replaced by rhoFresh |
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evap(i,j,bi,bj) = -recip_rhonil*tau*qstar |
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#endif |
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#ifdef ALLOW_ATM_WIND |
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ustress(i,j,bi,bj) = tau*rd*ws*cw(i,j,bi,bj) |
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vstress(i,j,bi,bj) = tau*rd*ws*sw(i,j,bi,bj) |
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#endif |
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|
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c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
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else |
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#ifdef ALLOW_ATM_WIND |
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ustress(i,j,bi,bj) = 0. _d 0 |
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vstress(i,j,bi,bj) = 0. _d 0 |
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#endif |
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hflux (i,j,bi,bj) = 0. _d 0 |
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evap (i,j,bi,bj) = 0. _d 0 |
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hs(i,j,bi,bj) = 0. _d 0 |
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hl(i,j,bi,bj) = 0. _d 0 |
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|
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c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
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endif |
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|
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#else /* ifndef ALLOW_ATM_TEMP */ |
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#ifdef ALLOW_ATM_WIND |
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wsm = sh(i,j,bi,bj) |
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tmpbulk = cdrag_1/wsm + cdrag_2 + cdrag_3*wsm |
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ustress(i,j,bi,bj) = atmrho*tmpbulk*us(i,j,bi,bj)* |
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& uwind(i,j,bi,bj) |
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vstress(i,j,bi,bj) = atmrho*tmpbulk*us(i,j,bi,bj)* |
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& vwind(i,j,bi,bj) |
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#endif |
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#endif /* ifndef ALLOW_ATM_TEMP */ |
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ENDDO |
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ENDDO |
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ENDDO |
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ENDDO |
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|
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#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
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|
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RETURN |
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END |
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