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C $Header: /u/gcmpack/MITgcm/pkg/thsice/thsice_get_exf.F,v 1.8 2007/05/03 21:51:12 mlosch Exp $ |
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C $Name: $ |
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|
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#include "THSICE_OPTIONS.h" |
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#ifdef ALLOW_EXF |
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#include "EXF_OPTIONS.h" |
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#endif |
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|
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CBOP |
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C !ROUTINE: THSICE_GET_EXF |
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C !INTERFACE: |
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SUBROUTINE THSICE_GET_EXF( |
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I iceornot, tsfCel, |
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O flxExceptSw, df0dT, evapLoc, dEvdT, |
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I i,j,bi,bj,myThid ) |
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C !DESCRIPTION: \bv |
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C *==========================================================* |
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C | S/R THSICE_GET_EXF |
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C *==========================================================* |
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C | Interface S/R : get Surface Fluxes from pkg EXF |
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C *==========================================================* |
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C \ev |
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|
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C !USES: |
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IMPLICIT NONE |
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|
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C == Global data == |
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#ifdef ALLOW_EXF |
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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 "EXF_CONSTANTS.h" |
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# include "EXF_PARAM.h" |
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# include "EXF_FIELDS.h" |
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#endif |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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# include "tamc_keys.h" |
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#endif |
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|
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C !INPUT/OUTPUT PARAMETERS: |
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C === Routine arguments === |
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C iceornot :: 0=open water, 1=ice cover |
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C tsfCel :: surface (ice or snow) temperature (oC) |
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C flxExceptSw :: net (downward) surface heat flux, except short-wave [W/m2] |
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C df0dT :: deriv of flx with respect to Tsf [W/m/K] |
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C evapLoc :: surface evaporation (>0 if evaporate) [kg/m2/s] |
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C dEvdT :: deriv of evap. with respect to Tsf [kg/m2/s/K] |
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C i,j, bi,bj :: current grid point indices |
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C myThid :: My Thread Id number |
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INTEGER i,j, bi,bj |
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INTEGER myThid |
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INTEGER iceornot |
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_RL tsfCel |
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_RL flxExceptSw |
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_RL df0dT |
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_RL evapLoc |
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_RL dEvdT |
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CEOP |
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|
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#ifdef ALLOW_EXF |
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#ifdef ALLOW_ATM_TEMP |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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C === Local variables === |
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C hsLocal, hlLocal :: sensible & latent heat flux over sea-ice |
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C t0 :: virtual temperature (K) |
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C ssq :: saturation specific humidity (kg/kg) |
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C deltap :: potential temperature diff (K) |
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|
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_RL hsLocal, hlLocal |
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INTEGER iter |
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_RL delq |
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_RL deltap |
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c----------------------- |
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_RL czol |
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_RL ws ! wind speed [m/s] (unlimited) |
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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 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 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 ! neutral, zref (=10m) wind-speed (+limited) |
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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 tmpbulk |
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c----------------------- |
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|
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C additional variables that are copied from bulkf_formula_lay: |
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C upward LW at surface (W m-2) |
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_RL flwup |
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C net (downward) LW at surface (W m-2) |
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_RL flwNet_dwn |
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C gradients of latent/sensible net upward heat flux |
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C w/ respect to temperature |
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_RL dflhdT, dfshdT, dflwupdT |
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C emissivities, called emittance in exf |
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_RL emiss |
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C Tsf :: surface temperature [K] |
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C Ts2 :: surface temperature square [K^2] |
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_RL Tsf |
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_RL Ts2 |
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C latent heat of evaporation or sublimation [J/kg] |
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_RL lath |
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_RL qsat_fac, qsat_exp |
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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 _RL exf_BulkqSat |
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c external exf_BulkqSat |
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c _RL exf_BulkCdn |
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c external exf_BulkCdn |
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c _RL exf_BulkRhn |
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c external exf_BulkRhn |
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|
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C == end of interface == |
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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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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 copy a few variables to names used in bulkf_formula_lay |
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Tsf = tsfCel+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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#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 |
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wsm = sh(i,j,bi,bj) |
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IF ( iceornot.EQ.0 ) THEN |
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lath = flamb |
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qsat_fac = cvapor_fac |
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qsat_exp = cvapor_exp |
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ELSE |
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lath = flamb+flami |
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qsat_fac = cvapor_fac_ice |
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qsat_exp = cvapor_exp_ice |
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ENDIF |
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|
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C-- Use atmospheric state to compute surface fluxes. |
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|
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C-- Compute the turbulent surface fluxes. |
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|
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C Initial guess: z/l=0.0; hu=ht=hq=z |
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C Iterations: converge on z/l and hence the fluxes. |
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|
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IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
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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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c tmpbulk= exf_BulkqSat(Tsf) |
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c ssq = saltsat*tmpbulk/atmrho |
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tmpbulk= qsat_fac*EXP(-qsat_exp/Tsf) |
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ssq = 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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stable = exf_half + SIGN(exf_half, deltap) |
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c tmpbulk= exf_BulkCdn(sh(i,j,bi,bj)) |
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tmpbulk= cdrag_1/wsm + cdrag_2 + cdrag_3*wsm |
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rdn = SQRT(tmpbulk) |
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C-- initial guess for exchange other coefficients: |
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c rhn = exf_BulkRhn(stable) |
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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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ustar = rdn*wsm |
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tstar = rhn*deltap |
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qstar = ren*delq |
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|
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DO iter = 1,niter_bulk |
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|
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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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|
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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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#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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C- Large&Pond_1981 code (zolmin default = -100): |
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c huol = MAX(huol,zolmin) |
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C- Large&Yeager_2004 code: |
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huol = MIN( MAX(-10. _d 0,huol), 10. _d 0 ) |
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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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C- Large&Pond_1981 code: |
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c xsq = MAX(SQRT(ABS(exf_one - huol*16. _d 0)),exf_one) |
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C- Large&Yeager_2004 code: |
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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)*0.125 _d 0 ) |
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& -exf_two*ATAN(x) + exf_half*pi ) |
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C- Large&Pond_1981 code: |
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c xsq = MAX(SQRT(ABS(exf_one - htol*16. _d 0)),exf_one) |
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C- Large&Yeager_2004 code: |
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xsq = SQRT( ABS(exf_one - htol*16. _d 0) ) |
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psixh = -psim_fac*htol*stable |
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& + (exf_one-stable) |
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& *exf_two*LOG( exf_half*(exf_one+xsq) ) |
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|
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C Shift wind speed using old coefficient |
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usn = ws/( exf_one + rdn*(zwln-psimh)/karman ) |
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usm = MAX(usn, umin) |
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|
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C- Update the 10m, neutral stability transfer coefficients |
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c tmpbulk= exf_BulkCdn(usm) |
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tmpbulk= cdrag_1/usm + cdrag_2 + cdrag_3*usm |
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rdn = SQRT(tmpbulk) |
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c rhn = exf_BulkRhn(stable) |
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rhn = (exf_one-stable)*cstanton_1 + stable*cstanton_2 |
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|
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C Shift all coefficients to the measurement height and stability. |
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rd = rdn/( exf_one + rdn*(zwln-psimh)/karman ) |
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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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ustar = rd*wsm |
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qstar = re*delq |
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tstar = rh*deltap |
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ENDDO |
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|
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tau = atmrho*rd*ws |
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|
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evapLoc = -tau*qstar |
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hlLocal = -lath*evapLoc |
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hsLocal = atmcp*tau*tstar |
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c ustress = tau*rd*UwindSpeed |
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c vstress = tau*rd*VwindSpeed |
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|
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C--- surf.Temp derivative of turbulent Fluxes |
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dEvdT = (tau*re)*ssq*qsat_exp/Ts2 |
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dflhdT = -lath*dEvdT |
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dfshdT = -atmcp*tau*rh |
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|
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C--- Upward long wave radiation |
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IF ( iceornot.EQ.0 ) THEN |
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emiss = ocean_emissivity |
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ELSEIF (iceornot.EQ.2) THEN |
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emiss = snow_emissivity |
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ELSE |
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emiss = ice_emissivity |
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ENDIF |
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flwup = emiss*stefanBoltzmann*Ts2*Ts2 |
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dflwupdT = emiss*stefanBoltzmann*Ts2*Tsf * 4. _d 0 |
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|
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C-- Total derivative with respect to surface temperature |
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df0dT = -dflwupdT+dfshdT+dflhdT |
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|
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#ifdef ALLOW_DOWNWARD_RADIATION |
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C- assume long-wave albedo = 1 - emissivity |
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flwNet_dwn = emiss*lwdown(i,j,bi,bj) - flwup |
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#else |
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STOP 'ABNORMAL END: S/R THSICE_GET_EXF: DOWNWARD_RADIATION undef' |
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#endif |
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flxExceptSw = flwNet_dwn + hsLocal + hlLocal |
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|
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ELSE |
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flxExceptSw = 0. _d 0 |
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df0dT = 0. _d 0 |
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evapLoc = 0. _d 0 |
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dEvdT = 0. _d 0 |
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ENDIF |
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|
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C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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|
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#else /* ALLOW_ATM_TEMP */ |
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STOP 'ABNORMAL END: S/R THSICE_GET_EXF: ATM_TEMP undef' |
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#endif /* ALLOW_ATM_TEMP */ |
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#ifdef EXF_READ_EVAP |
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STOP 'ABNORMAL END: S/R THSICE_GET_EXF: EXF_READ_EVAP defined' |
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#endif /* EXF_READ_EVAP */ |
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#endif /* ALLOW_EXF */ |
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|
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RETURN |
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END |