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heimbach |
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c $Header: /u/gcmpack/models/MITgcmUV/pkg/exf/exf_getffields.F,v 1.1 2001/05/14 22:08:40 heimbach Exp $ |
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heimbach |
1.1 |
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#include "EXF_CPPOPTIONS.h" |
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subroutine exf_GetFFields( |
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I mycurrenttime, |
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I mycurrentiter, |
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I mythid |
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& ) |
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c ================================================================== |
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c SUBROUTINE exf_GetFFields |
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c ================================================================== |
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c |
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c o Get the surface fluxes either from file or as derived from bulk |
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c formulae that use the atmospheric state. |
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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 By setting CPP options in the header file *EXF_CPPOPTIONS.h* it |
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c is possible to combine data sets in four different ways: |
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c |
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c The following options are available: |
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c |
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c ALLOW_ATM_TEMP (UAT) |
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c ALLOW_ATM_WIND (UAW) |
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c |
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c |
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c UAT | UAW | action |
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c ---------------------------------------------------- |
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c undefined | undefined | Use surface fluxes. |
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c undefined | defined | Assume cdn(u) given to |
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c | | infer the wind stress. |
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c defined | undefined | Compute wind field from |
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c | | given stress assuming a |
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c | | linear relation. |
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c defined | defined | Use the bulk formulae. |
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c ---------------------------------------------------- |
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c |
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c Implementations of the bulk formulae exist for the follwing |
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c versions of the MITgcm: |
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c |
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c MITgcm : Patrick Heimbach |
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c MITgcmUV: Christian Eckert |
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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 |
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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 |
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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 |
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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 |
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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 |
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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 |
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c - total rewrite using new subroutines |
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c |
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c ================================================================== |
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c SUBROUTINE exf_GetFFields |
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c ================================================================== |
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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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#include "exf_fields.h" |
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#include "exf_constants.h" |
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c == routine arguments == |
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integer mythid |
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integer mycurrentiter |
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_RL mycurrenttime |
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c == local variables == |
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integer bi,bj |
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integer i,j,k |
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#ifdef ALLOW_BULKFORMULAE |
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#ifdef ALLOW_ATM_TEMP |
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integer iter |
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_RL aln |
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_RL delq |
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_RL deltap |
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_RL hqol |
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_RL htol |
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_RL huol |
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_RL psimh |
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_RL psixh |
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_RL qstar |
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_RL rd |
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_RL re |
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_RL rdn |
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_RL rh |
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_RL ssq |
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_RL stable |
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_RL tau |
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_RL tstar |
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_RL t0 |
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_RL ustar |
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_RL uzn |
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_RL xsq |
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_RL x |
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_RL evap(1-olx:snx+olx,1-oly:sny+oly,nsx,nsy) |
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#endif /* ALLOW_ATM_TEMP */ |
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_RL us |
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_RL cw |
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_RL sw |
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_RL sh |
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_RL hs(1-olx:snx+olx,1-oly:sny+oly,nsx,nsy) |
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_RL hl(1-olx:snx+olx,1-oly:sny+oly,nsx,nsy) |
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_RL hfl |
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#endif /* ALLOW_BULKFORMULAE */ |
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c == external functions == |
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integer ilnblnk |
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external ilnblnk |
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#ifdef ALLOW_BULKFORMULAE |
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_RL exf_BulkqSat |
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external exf_BulkqSat |
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_RL exf_BulkCdn |
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external exf_BulkCdn |
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_RL exf_BulkRhn |
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external exf_BulkRhn |
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#endif /* ALLOW_BULKFORMULAE */ |
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c == end of interface == |
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c determine forcing field records |
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#ifdef ALLOW_BULKFORMULAE |
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c Determine where we are in time and set counters, flags and |
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c the linear interpolation factors accordingly. |
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#ifdef ALLOW_ATM_TEMP |
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c Atmospheric temperature. |
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call exf_set_atemp( atemp |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Atmospheric humidity. |
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call exf_set_aqh( aqh |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Net long wave radiative flux. |
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call exf_set_lwflux( lwflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Net short wave radiative flux. |
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call exf_set_swflux( swflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Precipitation. |
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call exf_set_precip( precip |
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& , mycurrenttime, mycurrentiter, mythid ) |
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aln = log(ht/zref) |
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#else |
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c Atmospheric heat flux. |
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call exf_set_hflux( hflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Salt flux. |
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call exf_set_sflux( sflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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#ifdef ALLOW_KPP |
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c Net short wave radiative flux. |
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call exf_set_swflux( swflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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#endif /* ALLOW_KPP */ |
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#endif /* ALLOW_ATM_TEMP */ |
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#ifdef ALLOW_ATM_WIND |
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c Zonal wind. |
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call exf_set_uwind( uwind |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Meridional wind. |
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call exf_set_vwind( vwind |
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& , mycurrenttime, mycurrentiter, mythid ) |
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#else |
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c Zonal wind stress. |
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call exf_set_ustress( ustress |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Meridional wind stress. |
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call exf_set_vstress( vstress |
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& , mycurrenttime, mycurrentiter, mythid ) |
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#endif /* ALLOW_ATM_WIND */ |
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#else /* ALLOW_BULKFORMULAE undefined */ |
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c Atmospheric heat flux. |
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call exf_set_hflux( hflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Salt flux. |
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call exf_set_sflux( sflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Zonal wind stress. |
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call exf_set_ustress( ustress |
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& , mycurrenttime, mycurrentiter, mythid ) |
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c Meridional wind stress. |
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call exf_set_vstress( vstress |
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& , mycurrenttime, mycurrentiter, mythid ) |
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#ifdef ALLOW_KPP |
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c Net short wave radiative flux. |
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call exf_set_swflux( swflux |
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& , mycurrenttime, mycurrentiter, mythid ) |
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#endif /* ALLOW_KPP */ |
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#endif /* ALLOW_BULKFORMULAE */ |
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c Loop over tiles. |
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do bj = mybylo(mythid),mybyhi(mythid) |
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do bi = mybxlo(mythid),mybxhi(mythid) |
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k = 1 |
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do j = 1-oly,sny+oly |
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do i = 1-olx,snx+olx |
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#ifdef ALLOW_BULKFORMULAE |
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c Compute the turbulent surface fluxes. |
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c (Bulk formulae estimates) |
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#ifdef ALLOW_ATM_WIND |
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c Wind speed and direction. |
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us = sqrt(uwind(i,j,bi,bj)*uwind(i,j,bi,bj) + |
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& vwind(i,j,bi,bj)*vwind(i,j,bi,bj)) |
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if ( us .ne. 0. _d 0 ) then |
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cw = uwind(i,j,bi,bj)/us |
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sw = vwind(i,j,bi,bj)/us |
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else |
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cw = 0. _d 0 |
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sw = 0. _d 0 |
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endif |
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sh = max(us,umin) |
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#else |
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#ifdef ALLOW_ATM_TEMP |
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c The variables us, sh and rdn have to be computed from given |
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c wind stresses inverting relationship for neutral drag coeff. |
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c cdn. |
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c The inversion is based on linear and quadratic form of |
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c cdn(umps); ustar can be directly computed from stress; |
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ustar = sqrt(ustress(i,j,bi,bj)*ustress(i,j,bi,bj) + |
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& vstress(i,j,bi,bj)*vstress(i,j,bi,bj))/ |
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& atmrho |
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cw = ustress(i,j,bi,bj)/ustar |
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sw = ustress(i,j,bi,bj)/ustar |
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if ( ustar .eq. 0. _d 0 ) then |
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us = 0. _d 0 |
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else if ( ustar .lt. ustofu11 ) then |
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tmp1 = -cquadrag_2/cquadrag_1/2 |
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tmp2 = sqrt(tmp1*tmp1 + ustar*ustar/cquadrag_1) |
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us = sqrt(tmp1 + tmp2) |
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else |
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tmp3 = clindrag_2/clindrag_1/3 |
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tmp4 = ustar*ustar/clindrag_1/2 - tmp3**3 |
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tmp5 = sqrt(ustar*ustar/clindrag_1* |
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& (ustar*ustar/clindrag_1/4 - tmp3**3)) |
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us = (tmp4 + tmp5)**(1/3) + |
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& tmp3**2 * (tmp4 + tmp5)**(-1/3) - tmp3 |
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endif |
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if ( us .ne. 0 ) then |
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rdn = ustar/us |
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else |
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rdn = 0. _d 0 |
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end if |
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sh = max(us,umin) |
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#endif /* ALLOW_ATM_TEMP */ |
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#endif /* ALLOW_ATM_WIND */ |
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#ifdef ALLOW_ATM_TEMP |
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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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c t0 : virtual temperature (K) |
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c ssq : sea surface humidity (kg/kg) |
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c deltap : potential temperature diff (K) |
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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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ssq = saltsat* |
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& exf_BulkqSat(theta(i,j,1,bi,bj) + cen2kel)/ |
| 376 |
|
|
& atmrho |
| 377 |
|
|
deltap = atemp(i,j,bi,bj) + gamma_blk*ht - |
| 378 |
|
|
& theta(i,j,1,bi,bj) - cen2kel |
| 379 |
|
|
delq = aqh(i,j,bi,bj) - ssq |
| 380 |
|
|
stable = exf_half + sign(exf_half, deltap) |
| 381 |
|
|
rdn = sqrt(exf_BulkCdn(sh)) |
| 382 |
|
|
ustar = rdn*sh |
| 383 |
|
|
tstar = exf_BulkRhn(stable)*deltap |
| 384 |
|
|
qstar = cdalton*delq |
| 385 |
|
|
|
| 386 |
|
|
do iter = 1,niter_bulk |
| 387 |
|
|
|
| 388 |
|
|
huol = czol*(tstar/t0 + |
| 389 |
|
|
& qstar/(exf_one/humid_fac+aqh(i,j,bi,bj)))/ |
| 390 |
|
|
& ustar**2 |
| 391 |
|
|
huol = max(huol,zolmin) |
| 392 |
|
|
stable = exf_half + sign(exf_half, huol) |
| 393 |
|
|
htol = huol*ht/hu |
| 394 |
|
|
hqol = huol*hq/hu |
| 395 |
|
|
|
| 396 |
|
|
c Evaluate all stability functions assuming hq = ht. |
| 397 |
|
|
xsq = max(sqrt(abs(exf_one - 16.*huol)),exf_one) |
| 398 |
|
|
x = sqrt(xsq) |
| 399 |
|
|
psimh = -psim_fac*huol*stable + |
| 400 |
|
|
& (exf_one - stable)* |
| 401 |
|
|
& log((exf_one + x*(exf_two + x))* |
| 402 |
|
|
& (exf_one + xsq)/8.) - exf_two*atan(x) + |
| 403 |
|
|
& pi*exf_half |
| 404 |
|
|
xsq = max(sqrt(abs(exf_one - 16.*htol)),exf_one) |
| 405 |
|
|
psixh = -psim_fac*htol*stable + (exf_one - stable)* |
| 406 |
|
|
& exf_two*log((exf_one + xsq)/exf_two) |
| 407 |
|
|
|
| 408 |
|
|
c Shift wind speed using old coefficient |
| 409 |
|
|
c rd = rdn/(exf_one + rdn/karman*(log(hu/zref) - psimh) ) |
| 410 |
|
|
rd = rdn/(exf_one - rdn/karman*psimh ) |
| 411 |
|
|
uzn = max(sh*rd/rdn, umin) |
| 412 |
|
|
|
| 413 |
|
|
c Update the transfer coefficients at 10 meters |
| 414 |
|
|
c and neutral stability. |
| 415 |
|
|
rdn = sqrt(exf_BulkCdn(uzn)) |
| 416 |
|
|
|
| 417 |
|
|
c Shift all coefficients to the measurement height |
| 418 |
|
|
c and stability. |
| 419 |
|
|
c rd = rdn/(exf_one + rdn/karman*(log(hu/zref) - psimh)) |
| 420 |
|
|
rd = rdn/(exf_one - rdn/karman*psimh) |
| 421 |
|
|
rh = exf_BulkRhn(stable)/(exf_one + |
| 422 |
|
|
& exf_BulkRhn(stable)/ |
| 423 |
|
|
& karman*(aln - psixh)) |
| 424 |
|
|
re = cdalton/(exf_one + cdalton/karman*(aln - psixh)) |
| 425 |
|
|
|
| 426 |
|
|
c Update ustar, tstar, qstar using updated, shifted |
| 427 |
|
|
c coefficients. |
| 428 |
|
|
ustar = rd*sh |
| 429 |
|
|
qstar = re*delq |
| 430 |
|
|
tstar = rh*deltap |
| 431 |
|
|
|
| 432 |
|
|
enddo |
| 433 |
|
|
|
| 434 |
|
|
tau = atmrho*ustar**2 |
| 435 |
|
|
tau = tau*us/sh |
| 436 |
|
|
hs(i,j,bi,bj) = atmcp*tau*tstar/ustar |
| 437 |
|
|
hl(i,j,bi,bj) = flamb*tau*qstar/ustar |
| 438 |
|
|
|
| 439 |
|
|
evap(i,j,bi,bj) = tau*qstar/ustar |
| 440 |
|
|
|
| 441 |
|
|
ustress(i,j,bi,bj) = tau*cw |
| 442 |
|
|
vstress(i,j,bi,bj) = tau*sw |
| 443 |
|
|
ce hflux(i,j,bi,bj) = atmcp*tau*tstar/ustar + |
| 444 |
|
|
ce & flamb*tau*qstar/ustar |
| 445 |
|
|
else |
| 446 |
|
|
ustress(i,j,bi,bj) = 0. _d 0 |
| 447 |
|
|
vstress(i,j,bi,bj) = 0. _d 0 |
| 448 |
|
|
hflux (i,j,bi,bj) = 0. _d 0 |
| 449 |
|
|
hs(i,j,bi,bj) = 0. _d 0 |
| 450 |
|
|
hl(i,j,bi,bj) = 0. _d 0 |
| 451 |
|
|
endif |
| 452 |
|
|
|
| 453 |
|
|
#else |
| 454 |
|
|
#ifdef ALLOW_ATM_WIND |
| 455 |
|
|
ustress(i,j,bi,bj) = atmrho*exf_BulkCdn(sh)*us* |
| 456 |
|
|
& uwind(i,j,bi,bj) |
| 457 |
|
|
vstress(i,j,bi,bj) = atmrho*exf_BulkCdn(sh)*us* |
| 458 |
|
|
& vwind(i,j,bi,bj) |
| 459 |
|
|
#endif /* ALLOW_ATM_WIND */ |
| 460 |
|
|
#endif /* ALLOW_ATM_TEMP */ |
| 461 |
|
|
enddo |
| 462 |
|
|
enddo |
| 463 |
|
|
enddo |
| 464 |
|
|
enddo |
| 465 |
|
|
|
| 466 |
|
|
c Add all contributions. |
| 467 |
heimbach |
1.2 |
k = 1 |
| 468 |
heimbach |
1.1 |
do bj = mybylo(mythid),mybyhi(mythid) |
| 469 |
|
|
do bi = mybxlo(mythid),mybxhi(mythid) |
| 470 |
|
|
do j = 1,sny |
| 471 |
|
|
do i = 1,snx |
| 472 |
|
|
c Net surface heat flux. |
| 473 |
|
|
#ifdef ALLOW_ATM_TEMP |
| 474 |
|
|
hfl = 0. _d 0 |
| 475 |
|
|
hfl = hfl - hs(i,j,bi,bj) |
| 476 |
|
|
hfl = hfl - hl(i,j,bi,bj) |
| 477 |
|
|
hfl = hfl + lwflux(i,j,bi,bj) |
| 478 |
|
|
#ifndef ALLOW_KPP |
| 479 |
|
|
hfl = hfl + swflux(i,j,bi,bj) |
| 480 |
|
|
#endif /* ALLOW_KPP undef */ |
| 481 |
|
|
c Heat flux: |
| 482 |
heimbach |
1.2 |
hflux(i,j,bi,bj) = hfl*maskc(i,j,k,bi,bj) |
| 483 |
heimbach |
1.1 |
c Salt flux from Precipitation and Evaporation. |
| 484 |
|
|
sflux(i,j,bi,bj) = precip(i,j,bi,bj) - evap(i,j,bi,bj) |
| 485 |
|
|
#endif /* ALLOW_ATM_TEMP */ |
| 486 |
|
|
|
| 487 |
|
|
#else |
| 488 |
heimbach |
1.2 |
hflux(i,j,bi,bj) = hflux(i,j,bi,bj)*maskc(i,j,k,bi,bj) |
| 489 |
|
|
sflux(i,j,bi,bj) = sflux(i,j,bi,bj)*maskc(i,j,k,bi,bj) |
| 490 |
heimbach |
1.1 |
#endif /* ALLOW_BULKFORMULAE */ |
| 491 |
|
|
enddo |
| 492 |
|
|
enddo |
| 493 |
|
|
enddo |
| 494 |
|
|
enddo |
| 495 |
|
|
|
| 496 |
|
|
c Update the tile edges. |
| 497 |
|
|
_EXCH_XY_R8(hflux, mythid) |
| 498 |
|
|
_EXCH_XY_R8(sflux, mythid) |
| 499 |
|
|
_EXCH_XY_R8(ustress, mythid) |
| 500 |
|
|
_EXCH_XY_R8(vstress, mythid) |
| 501 |
|
|
|
| 502 |
|
|
#ifdef ALLOW_KPP |
| 503 |
|
|
_EXCH_XY_R8(swflux, mythid) |
| 504 |
|
|
#endif /* ALLOW_KPP */ |
| 505 |
|
|
|
| 506 |
|
|
end |
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