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C $Header: $ |
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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_BULKFORMULAE |
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C !INTERFACE: |
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SUBROUTINE EXF_BULKFORMULAE( 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_BULKFORMULAE |
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C | o Calculate bulk formula fluxes over open ocean |
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C | either following |
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C | Large and Pond, 1981 & 1982 |
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C | or (if defined ALLOW_BULK_LARGEYEAGER04) |
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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 |
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C NOTES: |
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C ====== |
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C |
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C See EXF_OPTIONS.h for a description of the various possible |
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C ocean-model forcing configurations. |
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C |
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C The bulk formulae of pkg/exf are not valid for sea-ice covered |
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C oceans but they can be used in combination with a sea-ice model, |
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C for example, pkg/seaice, to specify open water flux contributions. |
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C |
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C ================================================================== |
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C |
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C for Large and Pond, 1981 & 1982 |
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C |
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C The calculation of the bulk surface fluxes has been adapted from |
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C the NCOM model which uses the formulae given in Large and Pond |
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C (1981 & 1982 ) |
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C |
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C |
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C Header taken from NCOM version: ncom1.4.1 |
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C ----------------------------------------- |
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C |
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C Following procedures and coefficients in Large and Pond |
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C (1981 ; 1982) |
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C |
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C Output: Bulk estimates of the turbulent surface fluxes. |
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C ------- |
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C |
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C hs - sensible heat flux (W/m^2), into ocean |
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C hl - latent heat flux (W/m^2), into ocean |
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C |
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C Input: |
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C ------ |
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C |
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C us - mean wind speed (m/s) at height hu (m) |
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C th - mean air temperature (K) at height ht (m) |
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C qh - mean air humidity (kg/kg) at height hq (m) |
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C sst - sea surface temperature (K) |
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C tk0 - Kelvin temperature at 0 Celsius (K) |
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C |
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C Assume 1) a neutral 10m drag coefficient = |
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C |
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C cdn = .0027/u10 + .000142 + .0000764 u10 |
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C |
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C 2) a neutral 10m stanton number = |
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C |
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C ctn = .0327 sqrt(cdn), unstable |
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C ctn = .0180 sqrt(cdn), stable |
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C |
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C 3) a neutral 10m dalton number = |
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C |
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C cen = .0346 sqrt(cdn) |
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C |
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C 4) the saturation humidity of air at |
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C |
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C t(k) = exf_BulkqSat(t) (kg/m^3) |
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C |
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C Note: 1) here, tstar = <wt>/u*, and qstar = <wq>/u*. |
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C 2) wind speeds should all be above a minimum speed, |
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C say 0.5 m/s. |
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C 3) with optional iteration loop, niter=3, should suffice. |
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C 4) this version is for analyses inputs with hu = 10m and |
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C ht = hq. |
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C 5) sst enters in Celsius. |
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C |
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C ================================================================== |
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C |
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C started: Christian Eckert eckert@mit.edu 27-Aug-1999 |
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C |
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C changed: Christian Eckert eckert@mit.edu 14-Jan-2000 |
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C - restructured the original version in order to have a |
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C better interface to the MITgcmUV. |
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C |
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C Christian Eckert eckert@mit.edu 12-Feb-2000 |
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C - Changed Routine names (package prefix: exf_) |
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C |
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C Patrick Heimbach, heimbach@mit.edu 04-May-2000 |
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C - changed the handling of precip and sflux with respect |
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C to CPP options ALLOW_BULKFORMULAE and ALLOW_ATM_TEMP |
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C - included some CPP flags ALLOW_BULKFORMULAE to make |
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C sure ALLOW_ATM_TEMP, ALLOW_ATM_WIND are used only in |
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C conjunction with defined ALLOW_BULKFORMULAE |
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C - statement functions discarded |
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C |
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C Ralf.Giering@FastOpt.de 25-Mai-2000 |
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C - total rewrite using new subroutines |
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C |
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C Detlef Stammer: include river run-off. Nov. 21, 2001 |
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C |
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C heimbach@mit.edu, 10-Jan-2002 |
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C - changes to enable field swapping |
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C |
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C mods for pkg/seaice: menemenlis@jpl.nasa.gov 20-Dec-2002 |
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C |
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C martin.losch@awi.de: merged with exf_bulk_largeyeager04, 21-May-2010 |
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C |
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C ================================================================== |
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C |
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C for Large and Yeager, 2004 |
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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_BULKFORMULAE |
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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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_RL recip_rhoConstFresh |
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INTEGER ksrf, ksrfp1 |
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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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#ifdef ALLOW_BULK_LARGEYEAGER04 |
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solve4Stress = wspeedfile .NE. ' ' |
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#else |
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solve4Stress = .FALSE. |
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#endif |
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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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C-- abbreviation |
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recip_rhoConstFresh = 1. _d 0/rhoConstFresh |
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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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ksrf = 1 |
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ksrfp1 = 2 |
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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,ksrf,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,ksrf,bi,bj)-theta(i,j,ksrfp1,bi,bj) ) |
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& * maskC(i,j,ksrfp1,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 |
| 359 |
#endif |
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|
| 361 |
t0 = atemp(i,j,bi,bj)* |
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& (exf_one + humid_fac*aqh(i,j,bi,bj)) |
| 363 |
huol = ( tstar(i,j)/t0 + |
| 364 |
& qstar(i,j)/(exf_one/humid_fac+aqh(i,j,bi,bj)) |
| 365 |
& )*czol/(ustar(i,j)*ustar(i,j)) |
| 366 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
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tmpbulk = MIN(abs(huol),10. _d 0) |
| 368 |
huol = SIGN(tmpbulk , huol) |
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#else |
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C-- Large&Pond1981: |
| 371 |
huol = max(huol,zolmin) |
| 372 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 373 |
htol = huol*ht/hu |
| 374 |
hqol = huol*hq/hu |
| 375 |
stable = exf_half + sign(exf_half, huol) |
| 376 |
|
| 377 |
c Evaluate all stability functions assuming hq = ht. |
| 378 |
#ifndef ALLOW_ATM_WIND |
| 379 |
IF ( solve4Stress ) THEN |
| 380 |
#endif |
| 381 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 382 |
C-- Large&Yeager04: |
| 383 |
xsq = SQRT( ABS(exf_one - huol*16. _d 0) ) |
| 384 |
#else |
| 385 |
C-- Large&Pond1981: |
| 386 |
xsq = max(sqrt(abs(exf_one - 16.*huol)),exf_one) |
| 387 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 388 |
x = SQRT(xsq) |
| 389 |
psimh = -psim_fac*huol*stable |
| 390 |
& +(exf_one-stable)* |
| 391 |
& ( LOG( (exf_one + exf_two*x + xsq)* |
| 392 |
& (exf_one+xsq)*.125 _d 0 ) |
| 393 |
& -exf_two*ATAN(x) + exf_half*pi ) |
| 394 |
#ifndef ALLOW_ATM_WIND |
| 395 |
ENDIF |
| 396 |
#endif |
| 397 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 398 |
C-- Large&Yeager04: |
| 399 |
xsq = SQRT( ABS(exf_one - htol*16. _d 0) ) |
| 400 |
#else |
| 401 |
C-- Large&Pond1981: |
| 402 |
xsq = max(sqrt(abs(exf_one - 16.*htol)),exf_one) |
| 403 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 404 |
psixh = -psim_fac*htol*stable + (exf_one-stable)* |
| 405 |
& ( exf_two*LOG(exf_half*(exf_one+xsq)) ) |
| 406 |
|
| 407 |
#ifndef ALLOW_ATM_WIND |
| 408 |
IF ( solve4Stress ) THEN |
| 409 |
#endif |
| 410 |
C- Shift wind speed using old coefficient |
| 411 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 412 |
C-- Large&Yeager04: |
| 413 |
dzTmp = (zwln-psimh)/karman |
| 414 |
usn = wspeed(i,j,bi,bj)/(exf_one + rdn(i,j)*dzTmp ) |
| 415 |
#else |
| 416 |
C-- Large&Pond1981: |
| 417 |
c rd(i,j)= rdn(i,j)/(exf_one - rdn(i,j)/karman*psimh ) |
| 418 |
c usn = sh(i,j,bi,bj)*rd(i,j)/rdn(i,j) |
| 419 |
c ML: the original formulation above is replaced below to be |
| 420 |
c similar to largeyeager04, but does not give the same results, strange |
| 421 |
usn = sh(i,j,bi,bj)/(exf_one - rdn(i,j)/karman*psimh) |
| 422 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 423 |
usm = MAX(usn, umin) |
| 424 |
|
| 425 |
C- Update the 10m, neutral stability transfer coefficients (momentum) |
| 426 |
tmpbulk = exf_scal_BulkCdn * |
| 427 |
& ( cdrag_1/usm + cdrag_2 + cdrag_3*usm ) |
| 428 |
rdn(i,j) = SQRT(tmpbulk) |
| 429 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 430 |
rd(i,j) = rdn(i,j)/(exf_one + rdn(i,j)*dzTmp) |
| 431 |
#else |
| 432 |
rd(i,j) = rdn(i,j)/(exf_one - rdn(i,j)/karman*psimh) |
| 433 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 434 |
ustar(i,j) = rd(i,j)*sh(i,j,bi,bj) |
| 435 |
C- Coeff: |
| 436 |
tau(i,j) = atmrho*rd(i,j)*wspeed(i,j,bi,bj) |
| 437 |
#ifndef ALLOW_ATM_WIND |
| 438 |
ENDIF |
| 439 |
#endif |
| 440 |
|
| 441 |
C- Update the 10m, neutral stability transfer coefficients (sens&evap) |
| 442 |
rhn = (exf_one-stable)*cstanton_1 + stable*cstanton_2 |
| 443 |
ren = cDalton |
| 444 |
|
| 445 |
C- Shift all coefficients to the measurement height and stability. |
| 446 |
rh = rhn/(exf_one + rhn*(ztln-psixh)/karman) |
| 447 |
re = ren/(exf_one + ren*(ztln-psixh)/karman) |
| 448 |
|
| 449 |
C-- Update ustar, tstar, qstar using updated, shifted coefficients. |
| 450 |
qstar(i,j) = re*delq(i,j) |
| 451 |
tstar(i,j) = rh*deltap(i,j) |
| 452 |
|
| 453 |
ENDIF |
| 454 |
ENDDO |
| 455 |
ENDDO |
| 456 |
c end of iteration loop |
| 457 |
ENDDO |
| 458 |
DO j = 1,sNy |
| 459 |
DO i = 1,sNx |
| 460 |
IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
| 461 |
|
| 462 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 463 |
ikey_1 = i |
| 464 |
& + sNx*(j-1) |
| 465 |
& + sNx*sNy*act1 |
| 466 |
& + sNx*sNy*max1*act2 |
| 467 |
& + sNx*sNy*max1*max2*act3 |
| 468 |
& + sNx*sNy*max1*max2*max3*act4 |
| 469 |
CADJ STORE qstar(i,j) = comlev1_exf_1, key = ikey_1 |
| 470 |
CADJ STORE tstar(i,j) = comlev1_exf_1, key = ikey_1 |
| 471 |
CADJ STORE tau (i,j) = comlev1_exf_1, key = ikey_1 |
| 472 |
CADJ STORE rd (i,j) = comlev1_exf_1, key = ikey_1 |
| 473 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 474 |
|
| 475 |
C- Turbulent Fluxes |
| 476 |
hs(i,j,bi,bj) = atmcp*tau(i,j)*tstar(i,j) |
| 477 |
hl(i,j,bi,bj) = flamb*tau(i,j)*qstar(i,j) |
| 478 |
#ifndef EXF_READ_EVAP |
| 479 |
C change sign and convert from kg/m^2/s to m/s via rhoConstFresh |
| 480 |
c evap(i,j,bi,bj) = -recip_rhonil*tau(i,j)*qstar(i,j) |
| 481 |
evap(i,j,bi,bj) = -recip_rhoConstFresh*tau(i,j)*qstar(i,j) |
| 482 |
C but older version was using rhonil instead: |
| 483 |
c evap(i,j,bi,bj) = -recip_rhonil*tau(i,j)*qstar(i,j) |
| 484 |
#endif |
| 485 |
#ifdef ALLOW_ATM_WIND |
| 486 |
c ustress(i,j,bi,bj) = tau(i,j)*rd(i,j)*ws*cw(i,j,bi,bj) |
| 487 |
c vstress(i,j,bi,bj) = tau(i,j)*rd(i,j)*ws*sw(i,j,bi,bj) |
| 488 |
C- jmc: below is how it should be written ; different from above when |
| 489 |
C both wind-speed & 2 compon. of the wind are specified, and in |
| 490 |
C- this case, formula below is better. |
| 491 |
tmpbulk = tau(i,j)*rd(i,j) |
| 492 |
ustress(i,j,bi,bj) = tmpbulk*uwind(i,j,bi,bj) |
| 493 |
vstress(i,j,bi,bj) = tmpbulk*vwind(i,j,bi,bj) |
| 494 |
#endif |
| 495 |
|
| 496 |
c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
| 497 |
else |
| 498 |
#ifdef ALLOW_ATM_WIND |
| 499 |
ustress(i,j,bi,bj) = 0. _d 0 |
| 500 |
vstress(i,j,bi,bj) = 0. _d 0 |
| 501 |
#endif /* ALLOW_ATM_WIND */ |
| 502 |
hflux (i,j,bi,bj) = 0. _d 0 |
| 503 |
evap (i,j,bi,bj) = 0. _d 0 |
| 504 |
hs (i,j,bi,bj) = 0. _d 0 |
| 505 |
hl (i,j,bi,bj) = 0. _d 0 |
| 506 |
|
| 507 |
c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
| 508 |
endif |
| 509 |
|
| 510 |
#else /* ifndef ALLOW_ATM_TEMP */ |
| 511 |
#ifdef ALLOW_ATM_WIND |
| 512 |
wsm = sh(i,j,bi,bj) |
| 513 |
tmpbulk = exf_scal_BulkCdn * |
| 514 |
& ( cdrag_1/wsm + cdrag_2 + cdrag_3*wsm ) |
| 515 |
ustress(i,j,bi,bj) = atmrho*tmpbulk*wspeed(i,j,bi,bj)* |
| 516 |
& uwind(i,j,bi,bj) |
| 517 |
vstress(i,j,bi,bj) = atmrho*tmpbulk*wspeed(i,j,bi,bj)* |
| 518 |
& vwind(i,j,bi,bj) |
| 519 |
#endif |
| 520 |
#endif /* ifndef ALLOW_ATM_TEMP */ |
| 521 |
ENDDO |
| 522 |
ENDDO |
| 523 |
ENDDO |
| 524 |
ENDDO |
| 525 |
|
| 526 |
#endif /* ALLOW_BULKFORMULAE */ |
| 527 |
|
| 528 |
RETURN |
| 529 |
END |
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