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gforget |
1.31 |
C $Header: /u/gcmpack/MITgcm/pkg/exf/exf_bulkformulae.F,v 1.30 2014/05/02 22:14:52 jmc Exp $ |
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jmc |
1.13 |
C $Name: $ |
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heimbach |
1.2 |
|
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edhill |
1.4 |
#include "EXF_OPTIONS.h" |
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gforget |
1.31 |
#ifdef ALLOW_AUTODIFF |
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# include "AUTODIFF_OPTIONS.h" |
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#endif |
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heimbach |
1.2 |
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mlosch |
1.23 |
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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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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jmc |
1.25 |
C | Large and Pond, 1981 & 1982 |
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mlosch |
1.23 |
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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C !USES: |
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IMPLICIT NONE |
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C === Global variables === |
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heimbach |
1.2 |
#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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mlosch |
1.23 |
#include "GRID.h" |
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heimbach |
1.2 |
|
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jmc |
1.15 |
#include "EXF_PARAM.h" |
| 153 |
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#include "EXF_FIELDS.h" |
| 154 |
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#include "EXF_CONSTANTS.h" |
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heimbach |
1.2 |
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#ifdef ALLOW_AUTODIFF_TAMC |
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#include "tamc.h" |
| 158 |
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#endif |
| 159 |
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mlosch |
1.23 |
C !INPUT/OUTPUT PARAMETERS: |
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C input: |
| 162 |
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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: |
| 169 |
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CEOP |
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heimbach |
1.2 |
|
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heimbach |
1.3 |
#ifdef ALLOW_BULKFORMULAE |
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mlosch |
1.23 |
C == external Functions |
| 173 |
heimbach |
1.3 |
|
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mlosch |
1.23 |
C == Local variables == |
| 175 |
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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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heimbach |
1.2 |
|
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heimbach |
1.16 |
_RL czol |
| 181 |
mlosch |
1.23 |
_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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mlosch |
1.19 |
_RL deltap(1:sNx,1:sNy) |
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jmc |
1.30 |
#ifdef EXF_CALC_ATMRHO |
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_RL atmrho_loc(1:sNx,1:sNy) ! local atmospheric density [kg/m^3] |
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#endif |
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jmc |
1.25 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 198 |
mlosch |
1.23 |
_RL dzTmp |
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jmc |
1.25 |
#endif |
| 200 |
mlosch |
1.23 |
_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 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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jmc |
1.25 |
_RL windStress ! surface wind-stress (@ grid cell center) |
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mlosch |
1.23 |
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heimbach |
1.2 |
#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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jmc |
1.25 |
C---+----1----+----2----+----3----+----4----+----5----+----6----+----7-|--+----| |
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gforget |
1.26 |
if ( useAtmWind ) then |
| 232 |
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solve4Stress = .TRUE. |
| 233 |
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else |
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mlosch |
1.23 |
#ifdef ALLOW_BULK_LARGEYEAGER04 |
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gforget |
1.26 |
solve4Stress = wspeedfile .NE. ' ' |
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mlosch |
1.23 |
#else |
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gforget |
1.26 |
solve4Stress = .FALSE. |
| 238 |
mlosch |
1.23 |
#endif |
| 239 |
gforget |
1.26 |
endif |
| 240 |
heimbach |
1.2 |
|
| 241 |
mlosch |
1.23 |
C-- Set surface parameters : |
| 242 |
mlosch |
1.22 |
zwln = LOG(hu/zref) |
| 243 |
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ztln = LOG(ht/zref) |
| 244 |
heimbach |
1.16 |
czol = hu*karman*gravity_mks |
| 245 |
mlosch |
1.23 |
C-- abbreviation |
| 246 |
mlosch |
1.22 |
recip_rhoConstFresh = 1. _d 0/rhoConstFresh |
| 247 |
jmc |
1.25 |
|
| 248 |
jmc |
1.30 |
C Loop over tiles. |
| 249 |
heimbach |
1.2 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 250 |
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C-- HPF directive to help TAMC |
| 251 |
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CHPF$ INDEPENDENT |
| 252 |
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#endif |
| 253 |
mlosch |
1.23 |
DO bj = myByLo(myThid),myByHi(myThid) |
| 254 |
heimbach |
1.2 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 255 |
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C-- HPF directive to help TAMC |
| 256 |
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CHPF$ INDEPENDENT |
| 257 |
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#endif |
| 258 |
mlosch |
1.23 |
DO bi = myBxLo(myThid),myBxHi(myThid) |
| 259 |
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ksrf = 1 |
| 260 |
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ksrfp1 = 2 |
| 261 |
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DO j = 1,sNy |
| 262 |
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DO i = 1,sNx |
| 263 |
heimbach |
1.2 |
|
| 264 |
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#ifdef ALLOW_AUTODIFF_TAMC |
| 265 |
heimbach |
1.12 |
act1 = bi - myBxLo(myThid) |
| 266 |
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max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
| 267 |
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act2 = bj - myByLo(myThid) |
| 268 |
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max2 = myByHi(myThid) - myByLo(myThid) + 1 |
| 269 |
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act3 = myThid - 1 |
| 270 |
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max3 = nTx*nTy |
| 271 |
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act4 = ikey_dynamics - 1 |
| 272 |
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| 273 |
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ikey_1 = i |
| 274 |
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& + sNx*(j-1) |
| 275 |
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& + sNx*sNy*act1 |
| 276 |
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& + sNx*sNy*max1*act2 |
| 277 |
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& + sNx*sNy*max1*max2*act3 |
| 278 |
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& + sNx*sNy*max1*max2*max3*act4 |
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heimbach |
1.2 |
#endif |
| 280 |
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| 281 |
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#ifdef ALLOW_ATM_TEMP |
| 282 |
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| 283 |
heimbach |
1.20 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 284 |
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deltap(i,j) = 0. _d 0 |
| 285 |
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delq(i,j) = 0. _d 0 |
| 286 |
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#endif |
| 287 |
mlosch |
1.23 |
C--- Compute turbulent surface fluxes |
| 288 |
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C- Pot. Temp and saturated specific humidity |
| 289 |
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IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
| 290 |
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C- Surface Temp. |
| 291 |
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Tsf = theta(i,j,ksrf,bi,bj) + cen2kel |
| 292 |
jmc |
1.29 |
IF ( Nr.GE.2 .AND. sstExtrapol.GT.0. _d 0 ) THEN |
| 293 |
mlosch |
1.23 |
SSTtmp = sstExtrapol |
| 294 |
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& *( theta(i,j,ksrf,bi,bj)-theta(i,j,ksrfp1,bi,bj) ) |
| 295 |
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& * maskC(i,j,ksrfp1,bi,bj) |
| 296 |
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Tsf = Tsf + MAX( SSTtmp, 0. _d 0 ) |
| 297 |
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ENDIF |
| 298 |
jmc |
1.30 |
|
| 299 |
mlosch |
1.23 |
tmpbulk = cvapor_fac*exp(-cvapor_exp/Tsf) |
| 300 |
jmc |
1.30 |
#ifdef EXF_CALC_ATMRHO |
| 301 |
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atmrho_loc(i,j) = apressure(i,j,bi,bj) / |
| 302 |
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& (287.04 _d 0*atemp(i,j,bi,bj) |
| 303 |
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& *(1. _d 0 + humid_fac*aqh(i,j,bi,bj))) |
| 304 |
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ssq = saltsat*tmpbulk/atmrho_loc(i,j) |
| 305 |
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#else |
| 306 |
mlosch |
1.23 |
ssq = saltsat*tmpbulk/atmrho |
| 307 |
jmc |
1.30 |
#endif |
| 308 |
mlosch |
1.23 |
deltap(i,j) = atemp(i,j,bi,bj) + gamma_blk*ht - Tsf |
| 309 |
mlosch |
1.19 |
delq(i,j) = aqh(i,j,bi,bj) - ssq |
| 310 |
mlosch |
1.23 |
C-- no negative evaporation over ocean: |
| 311 |
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IF ( noNegativeEvap ) delq(i,j) = MIN( 0. _d 0, delq(i,j) ) |
| 312 |
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| 313 |
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C-- initial guess for exchange coefficients: |
| 314 |
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C take U_N = del.U ; stability from del.Theta ; |
| 315 |
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stable = exf_half + SIGN(exf_half, deltap(i,j)) |
| 316 |
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| 317 |
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IF ( solve4Stress ) THEN |
| 318 |
heimbach |
1.2 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 319 |
heimbach |
1.12 |
CADJ STORE sh(i,j,bi,bj) = comlev1_exf_1, key = ikey_1 |
| 320 |
mlosch |
1.23 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 321 |
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C-- Wind speed |
| 322 |
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wsm = sh(i,j,bi,bj) |
| 323 |
|
|
tmpbulk = exf_scal_BulkCdn * |
| 324 |
|
|
& ( cdrag_1/wsm + cdrag_2 + cdrag_3*wsm ) |
| 325 |
|
|
rdn(i,j) = SQRT(tmpbulk) |
| 326 |
|
|
ustar(i,j) = rdn(i,j)*wsm |
| 327 |
|
|
ELSE |
| 328 |
gforget |
1.24 |
rdn(i,j) = 0. _d 0 |
| 329 |
mlosch |
1.23 |
windStress = wStress(i,j,bi,bj) |
| 330 |
jmc |
1.30 |
#ifdef EXF_CALC_ATMRHO |
| 331 |
|
|
ustar(i,j) = sqrt(windStress/atmrho_loc(i,j)) |
| 332 |
|
|
tau(i,j) = sqrt(windStress*atmrho_loc(i,j)) |
| 333 |
|
|
#else |
| 334 |
mlosch |
1.23 |
ustar(i,j) = sqrt(windStress/atmrho) |
| 335 |
|
|
c tau(i,j) = windStress/ustar(i,j) |
| 336 |
|
|
tau(i,j) = sqrt(windStress*atmrho) |
| 337 |
jmc |
1.30 |
#endif |
| 338 |
mlosch |
1.23 |
ENDIF |
| 339 |
mlosch |
1.21 |
|
| 340 |
|
|
C-- initial guess for exchange other coefficients: |
| 341 |
mlosch |
1.22 |
rhn = (exf_one-stable)*cstanton_1 + stable*cstanton_2 |
| 342 |
mlosch |
1.23 |
ren = cDalton |
| 343 |
mlosch |
1.21 |
C-- calculate turbulent scales |
| 344 |
mlosch |
1.23 |
tstar(i,j)=rhn*deltap(i,j) |
| 345 |
|
|
qstar(i,j)=ren*delq(i,j) |
| 346 |
mlosch |
1.19 |
|
| 347 |
mlosch |
1.23 |
ELSE |
| 348 |
jmc |
1.25 |
C atemp(i,j,bi,bj) .EQ. 0. |
| 349 |
mlosch |
1.19 |
tstar (i,j) = 0. _d 0 |
| 350 |
|
|
qstar (i,j) = 0. _d 0 |
| 351 |
|
|
ustar (i,j) = 0. _d 0 |
| 352 |
|
|
tau (i,j) = 0. _d 0 |
| 353 |
|
|
rdn (i,j) = 0. _d 0 |
| 354 |
mlosch |
1.23 |
ENDIF |
| 355 |
|
|
ENDDO |
| 356 |
|
|
ENDDO |
| 357 |
|
|
DO iter=1,niter_bulk |
| 358 |
|
|
DO j = 1,sNy |
| 359 |
|
|
DO i = 1,sNx |
| 360 |
|
|
IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
| 361 |
|
|
C--- iterate with psi-functions to find transfer coefficients |
| 362 |
|
|
|
| 363 |
heimbach |
1.2 |
#ifdef ALLOW_AUTODIFF_TAMC |
| 364 |
heimbach |
1.20 |
ikey_2 = i |
| 365 |
|
|
& + sNx*(j-1) |
| 366 |
|
|
& + sNx*sNy*(iter-1) |
| 367 |
|
|
& + sNx*sNy*niter_bulk*act1 |
| 368 |
|
|
& + sNx*sNy*niter_bulk*max1*act2 |
| 369 |
|
|
& + sNx*sNy*niter_bulk*max1*max2*act3 |
| 370 |
|
|
& + sNx*sNy*niter_bulk*max1*max2*max3*act4 |
| 371 |
mlosch |
1.23 |
CADJ STORE rdn (i,j) = comlev1_exf_2, key = ikey_2 |
| 372 |
|
|
CADJ STORE ustar (i,j) = comlev1_exf_2, key = ikey_2 |
| 373 |
|
|
CADJ STORE qstar (i,j) = comlev1_exf_2, key = ikey_2 |
| 374 |
|
|
CADJ STORE tstar (i,j) = comlev1_exf_2, key = ikey_2 |
| 375 |
|
|
CADJ STORE sh (i,j,bi,bj) = comlev1_exf_2, key = ikey_2 |
| 376 |
|
|
CADJ STORE wspeed(i,j,bi,bj) = comlev1_exf_2, key = ikey_2 |
| 377 |
heimbach |
1.2 |
#endif |
| 378 |
|
|
|
| 379 |
mlosch |
1.23 |
t0 = atemp(i,j,bi,bj)* |
| 380 |
mlosch |
1.19 |
& (exf_one + humid_fac*aqh(i,j,bi,bj)) |
| 381 |
mlosch |
1.23 |
huol = ( tstar(i,j)/t0 + |
| 382 |
|
|
& qstar(i,j)/(exf_one/humid_fac+aqh(i,j,bi,bj)) |
| 383 |
|
|
& )*czol/(ustar(i,j)*ustar(i,j)) |
| 384 |
|
|
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 385 |
|
|
tmpbulk = MIN(abs(huol),10. _d 0) |
| 386 |
|
|
huol = SIGN(tmpbulk , huol) |
| 387 |
|
|
#else |
| 388 |
|
|
C-- Large&Pond1981: |
| 389 |
mlosch |
1.19 |
huol = max(huol,zolmin) |
| 390 |
mlosch |
1.23 |
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 391 |
mlosch |
1.19 |
htol = huol*ht/hu |
| 392 |
|
|
hqol = huol*hq/hu |
| 393 |
mlosch |
1.22 |
stable = exf_half + sign(exf_half, huol) |
| 394 |
mlosch |
1.23 |
|
| 395 |
jmc |
1.30 |
C Evaluate all stability functions assuming hq = ht. |
| 396 |
mlosch |
1.23 |
IF ( solve4Stress ) THEN |
| 397 |
|
|
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 398 |
|
|
C-- Large&Yeager04: |
| 399 |
|
|
xsq = SQRT( ABS(exf_one - huol*16. _d 0) ) |
| 400 |
|
|
#else |
| 401 |
|
|
C-- Large&Pond1981: |
| 402 |
|
|
xsq = max(sqrt(abs(exf_one - 16.*huol)),exf_one) |
| 403 |
|
|
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 404 |
|
|
x = SQRT(xsq) |
| 405 |
|
|
psimh = -psim_fac*huol*stable |
| 406 |
|
|
& +(exf_one-stable)* |
| 407 |
|
|
& ( LOG( (exf_one + exf_two*x + xsq)* |
| 408 |
|
|
& (exf_one+xsq)*.125 _d 0 ) |
| 409 |
|
|
& -exf_two*ATAN(x) + exf_half*pi ) |
| 410 |
gforget |
1.24 |
ELSE |
| 411 |
|
|
psimh = 0. _d 0 |
| 412 |
mlosch |
1.23 |
ENDIF |
| 413 |
|
|
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 414 |
|
|
C-- Large&Yeager04: |
| 415 |
|
|
xsq = SQRT( ABS(exf_one - htol*16. _d 0) ) |
| 416 |
|
|
#else |
| 417 |
|
|
C-- Large&Pond1981: |
| 418 |
|
|
xsq = max(sqrt(abs(exf_one - 16.*htol)),exf_one) |
| 419 |
|
|
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 420 |
mlosch |
1.22 |
psixh = -psim_fac*htol*stable + (exf_one-stable)* |
| 421 |
|
|
& ( exf_two*LOG(exf_half*(exf_one+xsq)) ) |
| 422 |
mlosch |
1.23 |
|
| 423 |
|
|
IF ( solve4Stress ) THEN |
| 424 |
heimbach |
1.28 |
CADJ STORE rdn(i,j) = comlev1_exf_2, key = ikey_2 |
| 425 |
mlosch |
1.23 |
C- Shift wind speed using old coefficient |
| 426 |
|
|
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 427 |
|
|
C-- Large&Yeager04: |
| 428 |
|
|
dzTmp = (zwln-psimh)/karman |
| 429 |
|
|
usn = wspeed(i,j,bi,bj)/(exf_one + rdn(i,j)*dzTmp ) |
| 430 |
|
|
#else |
| 431 |
|
|
C-- Large&Pond1981: |
| 432 |
mlosch |
1.22 |
c rd(i,j)= rdn(i,j)/(exf_one - rdn(i,j)/karman*psimh ) |
| 433 |
mlosch |
1.23 |
c usn = sh(i,j,bi,bj)*rd(i,j)/rdn(i,j) |
| 434 |
jmc |
1.30 |
C ML: the original formulation above is replaced below to be |
| 435 |
|
|
C similar to largeyeager04, but does not give the same results, strange |
| 436 |
mlosch |
1.23 |
usn = sh(i,j,bi,bj)/(exf_one - rdn(i,j)/karman*psimh) |
| 437 |
|
|
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 438 |
|
|
usm = MAX(usn, umin) |
| 439 |
|
|
|
| 440 |
|
|
C- Update the 10m, neutral stability transfer coefficients (momentum) |
| 441 |
|
|
tmpbulk = exf_scal_BulkCdn * |
| 442 |
|
|
& ( cdrag_1/usm + cdrag_2 + cdrag_3*usm ) |
| 443 |
|
|
rdn(i,j) = SQRT(tmpbulk) |
| 444 |
|
|
#ifdef ALLOW_BULK_LARGEYEAGER04 |
| 445 |
|
|
rd(i,j) = rdn(i,j)/(exf_one + rdn(i,j)*dzTmp) |
| 446 |
|
|
#else |
| 447 |
|
|
rd(i,j) = rdn(i,j)/(exf_one - rdn(i,j)/karman*psimh) |
| 448 |
|
|
#endif /* ALLOW_BULK_LARGEYEAGER04 */ |
| 449 |
|
|
ustar(i,j) = rd(i,j)*sh(i,j,bi,bj) |
| 450 |
|
|
C- Coeff: |
| 451 |
jmc |
1.30 |
#ifdef EXF_CALC_ATMRHO |
| 452 |
|
|
tau(i,j) = atmrho_loc(i,j)*rd(i,j)*wspeed(i,j,bi,bj) |
| 453 |
|
|
#else |
| 454 |
mlosch |
1.23 |
tau(i,j) = atmrho*rd(i,j)*wspeed(i,j,bi,bj) |
| 455 |
jmc |
1.30 |
#endif |
| 456 |
mlosch |
1.23 |
ENDIF |
| 457 |
|
|
|
| 458 |
|
|
C- Update the 10m, neutral stability transfer coefficients (sens&evap) |
| 459 |
mlosch |
1.22 |
rhn = (exf_one-stable)*cstanton_1 + stable*cstanton_2 |
| 460 |
mlosch |
1.23 |
ren = cDalton |
| 461 |
|
|
|
| 462 |
|
|
C- Shift all coefficients to the measurement height and stability. |
| 463 |
|
|
rh = rhn/(exf_one + rhn*(ztln-psixh)/karman) |
| 464 |
|
|
re = ren/(exf_one + ren*(ztln-psixh)/karman) |
| 465 |
heimbach |
1.2 |
|
| 466 |
mlosch |
1.23 |
C-- Update ustar, tstar, qstar using updated, shifted coefficients. |
| 467 |
mlosch |
1.19 |
qstar(i,j) = re*delq(i,j) |
| 468 |
|
|
tstar(i,j) = rh*deltap(i,j) |
| 469 |
heimbach |
1.2 |
|
| 470 |
mlosch |
1.23 |
ENDIF |
| 471 |
|
|
ENDDO |
| 472 |
|
|
ENDDO |
| 473 |
jmc |
1.30 |
C end of iteration loop |
| 474 |
mlosch |
1.23 |
ENDDO |
| 475 |
|
|
DO j = 1,sNy |
| 476 |
|
|
DO i = 1,sNx |
| 477 |
|
|
IF ( atemp(i,j,bi,bj) .NE. 0. _d 0 ) THEN |
| 478 |
heimbach |
1.2 |
|
| 479 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
| 480 |
mlosch |
1.23 |
ikey_1 = i |
| 481 |
|
|
& + sNx*(j-1) |
| 482 |
|
|
& + sNx*sNy*act1 |
| 483 |
|
|
& + sNx*sNy*max1*act2 |
| 484 |
|
|
& + sNx*sNy*max1*max2*act3 |
| 485 |
|
|
& + sNx*sNy*max1*max2*max3*act4 |
| 486 |
mlosch |
1.21 |
CADJ STORE qstar(i,j) = comlev1_exf_1, key = ikey_1 |
| 487 |
|
|
CADJ STORE tstar(i,j) = comlev1_exf_1, key = ikey_1 |
| 488 |
mlosch |
1.23 |
CADJ STORE tau (i,j) = comlev1_exf_1, key = ikey_1 |
| 489 |
|
|
CADJ STORE rd (i,j) = comlev1_exf_1, key = ikey_1 |
| 490 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
| 491 |
|
|
|
| 492 |
|
|
C- Turbulent Fluxes |
| 493 |
mlosch |
1.22 |
hs(i,j,bi,bj) = atmcp*tau(i,j)*tstar(i,j) |
| 494 |
|
|
hl(i,j,bi,bj) = flamb*tau(i,j)*qstar(i,j) |
| 495 |
heimbach |
1.2 |
#ifndef EXF_READ_EVAP |
| 496 |
mlosch |
1.23 |
C change sign and convert from kg/m^2/s to m/s via rhoConstFresh |
| 497 |
|
|
c evap(i,j,bi,bj) = -recip_rhonil*tau(i,j)*qstar(i,j) |
| 498 |
mlosch |
1.22 |
evap(i,j,bi,bj) = -recip_rhoConstFresh*tau(i,j)*qstar(i,j) |
| 499 |
mlosch |
1.23 |
C but older version was using rhonil instead: |
| 500 |
|
|
c evap(i,j,bi,bj) = -recip_rhonil*tau(i,j)*qstar(i,j) |
| 501 |
heimbach |
1.2 |
#endif |
| 502 |
gforget |
1.26 |
if ( useAtmWind ) then |
| 503 |
mlosch |
1.23 |
c ustress(i,j,bi,bj) = tau(i,j)*rd(i,j)*ws*cw(i,j,bi,bj) |
| 504 |
|
|
c vstress(i,j,bi,bj) = tau(i,j)*rd(i,j)*ws*sw(i,j,bi,bj) |
| 505 |
|
|
C- jmc: below is how it should be written ; different from above when |
| 506 |
|
|
C both wind-speed & 2 compon. of the wind are specified, and in |
| 507 |
|
|
C- this case, formula below is better. |
| 508 |
mlosch |
1.22 |
tmpbulk = tau(i,j)*rd(i,j) |
| 509 |
|
|
ustress(i,j,bi,bj) = tmpbulk*uwind(i,j,bi,bj) |
| 510 |
|
|
vstress(i,j,bi,bj) = tmpbulk*vwind(i,j,bi,bj) |
| 511 |
gforget |
1.26 |
endif |
| 512 |
mlosch |
1.21 |
|
| 513 |
|
|
c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
| 514 |
mlosch |
1.19 |
else |
| 515 |
gforget |
1.26 |
if ( useAtmWind ) ustress(i,j,bi,bj) = 0. _d 0 |
| 516 |
|
|
if ( useAtmWind ) vstress(i,j,bi,bj) = 0. _d 0 |
| 517 |
mlosch |
1.19 |
hflux (i,j,bi,bj) = 0. _d 0 |
| 518 |
mlosch |
1.23 |
evap (i,j,bi,bj) = 0. _d 0 |
| 519 |
|
|
hs (i,j,bi,bj) = 0. _d 0 |
| 520 |
|
|
hl (i,j,bi,bj) = 0. _d 0 |
| 521 |
mlosch |
1.21 |
|
| 522 |
|
|
c IF ( ATEMP(i,j,bi,bj) .NE. 0. ) |
| 523 |
mlosch |
1.19 |
endif |
| 524 |
heimbach |
1.2 |
|
| 525 |
|
|
#else /* ifndef ALLOW_ATM_TEMP */ |
| 526 |
gforget |
1.26 |
if ( useAtmWind ) then |
| 527 |
mlosch |
1.23 |
wsm = sh(i,j,bi,bj) |
| 528 |
|
|
tmpbulk = exf_scal_BulkCdn * |
| 529 |
mlosch |
1.21 |
& ( cdrag_1/wsm + cdrag_2 + cdrag_3*wsm ) |
| 530 |
mlosch |
1.19 |
ustress(i,j,bi,bj) = atmrho*tmpbulk*wspeed(i,j,bi,bj)* |
| 531 |
mlosch |
1.23 |
& uwind(i,j,bi,bj) |
| 532 |
mlosch |
1.19 |
vstress(i,j,bi,bj) = atmrho*tmpbulk*wspeed(i,j,bi,bj)* |
| 533 |
mlosch |
1.23 |
& vwind(i,j,bi,bj) |
| 534 |
gforget |
1.26 |
endif |
| 535 |
heimbach |
1.2 |
#endif /* ifndef ALLOW_ATM_TEMP */ |
| 536 |
mlosch |
1.23 |
ENDDO |
| 537 |
|
|
ENDDO |
| 538 |
|
|
ENDDO |
| 539 |
|
|
ENDDO |
| 540 |
heimbach |
1.2 |
|
| 541 |
heimbach |
1.3 |
#endif /* ALLOW_BULKFORMULAE */ |
| 542 |
heimbach |
1.2 |
|
| 543 |
mlosch |
1.23 |
RETURN |
| 544 |
|
|
END |
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