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atn |
1.4 |
C $Header: /u/gcmpack/MITgcm_contrib/atnguyen/code_21Dec2012_saltplume/kpp_routines.F,v 1.3 2014/05/01 08:09:30 atn Exp $ |
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1.1 |
C $Name: $ |
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#include "KPP_OPTIONS.h" |
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1.2 |
#ifdef ALLOW_SALT_PLUME |
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#include "SALT_PLUME_OPTIONS.h" |
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#endif |
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atn |
1.1 |
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C-- File kpp_routines.F: subroutines needed to implement |
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C-- KPP vertical mixing scheme |
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C-- Contents |
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C-- o KPPMIX - Main driver and interface routine. |
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C-- o BLDEPTH - Determine oceanic planetary boundary layer depth. |
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C-- o WSCALE - Compute turbulent velocity scales. |
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C-- o RI_IWMIX - Compute interior viscosity diffusivity coefficients. |
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C-- o Z121 - Apply 121 vertical smoothing. |
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C-- o SMOOTH_HORIZ- Apply horizontal smoothing to global array. |
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C-- o BLMIX - Boundary layer mixing coefficients. |
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C-- o ENHANCE - Enhance diffusivity at boundary layer interface. |
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C-- o STATEKPP - Compute buoyancy-related input arrays. |
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C-- o KPP_DOUBLEDIFF - Compute double diffusive contribution to diffusivities |
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c*********************************************************************** |
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SUBROUTINE KPPMIX ( |
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I kmtj, shsq, dvsq, ustar, msk |
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I , bo, bosol |
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#ifdef ALLOW_SALT_PLUME |
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I , boplume,SPDepth |
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#endif /* ALLOW_SALT_PLUME */ |
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I , dbloc, Ritop, coriol |
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I , diffusKzS, diffusKzT |
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I , ikppkey |
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O , diffus |
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U , ghat |
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O , hbl |
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I , bi, bj, myTime, myIter, myThid ) |
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c----------------------------------------------------------------------- |
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c |
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c Main driver subroutine for kpp vertical mixing scheme and |
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c interface to greater ocean model |
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c |
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c written by: bill large, june 6, 1994 |
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c modified by: jan morzel, june 30, 1994 |
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c bill large, august 11, 1994 |
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c bill large, january 25, 1995 : "dVsq" and 1d code |
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c detlef stammer, august 1997 : for use with MIT GCM Classic |
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c d. menemenlis, june 1998 : for use with MIT GCM UV |
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c |
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c----------------------------------------------------------------------- |
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IMPLICIT NONE |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "PARAMS.h" |
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#include "KPP_PARAMS.h" |
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#ifdef ALLOW_AUTODIFF |
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# include "tamc.h" |
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#endif |
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c input |
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c bi, bj :: Array indices on which to apply calculations |
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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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c kmtj (imt) - number of vertical layers on this row |
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c msk (imt) - surface mask (=1 if water, =0 otherwise) |
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c shsq (imt,Nr) - (local velocity shear)^2 ((m/s)^2) |
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c dvsq (imt,Nr) - (velocity shear re sfc)^2 ((m/s)^2) |
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c ustar (imt) - surface friction velocity (m/s) |
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c bo (imt) - surface turbulent buoy. forcing (m^2/s^3) |
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c bosol (imt) - radiative buoyancy forcing (m^2/s^3) |
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atn |
1.4 |
c boplume(imt,Nr) - haline buoyancy forcing (m^2/s^3) |
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atn |
1.1 |
c dbloc (imt,Nr) - local delta buoyancy across interfaces (m/s^2) |
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c dblocSm(imt,Nr) - horizontally smoothed dbloc (m/s^2) |
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c stored in ghat to save space |
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c Ritop (imt,Nr) - numerator of bulk Richardson Number |
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c (zref-z) * delta buoyancy w.r.t. surface ((m/s)^2) |
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c coriol (imt) - Coriolis parameter (1/s) |
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c diffusKzS(imt,Nr)- background vertical diffusivity for scalars (m^2/s) |
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c diffusKzT(imt,Nr)- background vertical diffusivity for theta (m^2/s) |
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c note: there is a conversion from 2-D to 1-D for input output variables, |
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c e.g., hbl(sNx,sNy) -> hbl(imt), |
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c where hbl(i,j) -> hbl((j-1)*sNx+i) |
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INTEGER bi, bj |
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_RL myTime |
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integer myIter |
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integer myThid |
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integer kmtj (imt ) |
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_RL shsq (imt,Nr) |
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_RL dvsq (imt,Nr) |
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_RL ustar (imt ) |
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_RL bo (imt ) |
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_RL bosol (imt ) |
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#ifdef ALLOW_SALT_PLUME |
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atn |
1.4 |
_RL boplume (imt,Nr) |
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atn |
1.1 |
_RL SPDepth (imt ) |
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#endif /* ALLOW_SALT_PLUME */ |
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_RL dbloc (imt,Nr) |
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_RL Ritop (imt,Nr) |
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_RL coriol (imt ) |
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_RS msk (imt ) |
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_RL diffusKzS(imt,Nr) |
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_RL diffusKzT(imt,Nr) |
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integer ikppkey |
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c output |
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c diffus (imt,1) - vertical viscosity coefficient (m^2/s) |
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c diffus (imt,2) - vertical scalar diffusivity (m^2/s) |
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c diffus (imt,3) - vertical temperature diffusivity (m^2/s) |
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c ghat (imt) - nonlocal transport coefficient (s/m^2) |
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c hbl (imt) - mixing layer depth (m) |
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_RL diffus(imt,0:Nrp1,mdiff) |
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_RL ghat (imt,Nr) |
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_RL hbl (imt) |
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#ifdef ALLOW_KPP |
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c local |
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c kbl (imt ) - index of first grid level below hbl |
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c bfsfc (imt ) - surface buoyancy forcing (m^2/s^3) |
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c casea (imt ) - 1 in case A; 0 in case B |
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c stable (imt ) - 1 in stable forcing; 0 if unstable |
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c dkm1 (imt, mdiff) - boundary layer diffusivity at kbl-1 level |
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c blmc (imt,Nr,mdiff) - boundary layer mixing coefficients |
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c sigma (imt ) - normalized depth (d / hbl) |
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c Rib (imt,Nr ) - bulk Richardson number |
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integer kbl(imt ) |
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_RL bfsfc (imt ) |
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_RL casea (imt ) |
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_RL stable (imt ) |
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_RL dkm1 (imt, mdiff) |
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_RL blmc (imt,Nr,mdiff) |
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_RL sigma (imt ) |
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_RL Rib (imt,Nr ) |
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integer i, k, md |
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c----------------------------------------------------------------------- |
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c compute interior mixing coefficients everywhere, due to constant |
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c internal wave activity, static instability, and local shear |
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c instability. |
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c (ghat is temporary storage for horizontally smoothed dbloc) |
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c----------------------------------------------------------------------- |
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cph( |
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cph these storings avoid recomp. of Ri_iwmix |
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CADJ STORE ghat = comlev1_kpp, key=ikppkey, kind=isbyte |
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CADJ STORE dbloc = comlev1_kpp, key=ikppkey, kind=isbyte |
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cph) |
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call Ri_iwmix ( |
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I kmtj, shsq, dbloc, ghat |
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I , diffusKzS, diffusKzT |
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I , ikppkey |
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O , diffus, myThid ) |
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cph( |
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cph these storings avoid recomp. of Ri_iwmix |
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cph DESPITE TAFs 'not necessary' warning! |
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CADJ STORE dbloc = comlev1_kpp, key=ikppkey, kind=isbyte |
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CADJ STORE shsq = comlev1_kpp, key=ikppkey, kind=isbyte |
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CADJ STORE ghat = comlev1_kpp, key=ikppkey, kind=isbyte |
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CADJ STORE diffus = comlev1_kpp, key=ikppkey, kind=isbyte |
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cph) |
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c----------------------------------------------------------------------- |
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c set seafloor values to zero and fill extra "Nrp1" coefficients |
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c for blmix |
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c----------------------------------------------------------------------- |
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do md = 1, mdiff |
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do k=1,Nrp1 |
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do i = 1,imt |
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if(k.ge.kmtj(i)) diffus(i,k,md) = 0.0 |
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end do |
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end do |
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end do |
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c----------------------------------------------------------------------- |
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c compute boundary layer mixing coefficients: |
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c |
187 |
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c diagnose the new boundary layer depth |
188 |
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c----------------------------------------------------------------------- |
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190 |
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call bldepth ( |
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I kmtj |
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I , dvsq, dbloc, Ritop, ustar, bo, bosol |
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#ifdef ALLOW_SALT_PLUME |
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I , boplume,SPDepth |
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#endif /* ALLOW_SALT_PLUME */ |
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I , coriol |
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I , ikppkey |
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O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
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I , bi, bj, myTime, myIter, myThid ) |
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CADJ STORE hbl,bfsfc,stable,casea,kbl = comlev1_kpp, |
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CADJ & key=ikppkey, kind=isbyte |
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c----------------------------------------------------------------------- |
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c compute boundary layer diffusivities |
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c----------------------------------------------------------------------- |
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208 |
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call blmix ( |
209 |
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I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
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O , dkm1, blmc, ghat, sigma, ikppkey |
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I , myThid ) |
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cph( |
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CADJ STORE dkm1,blmc,ghat = comlev1_kpp, |
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CADJ & key=ikppkey, kind=isbyte |
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CADJ STORE hbl, kbl, diffus, casea = comlev1_kpp, |
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CADJ & key=ikppkey, kind=isbyte |
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cph) |
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219 |
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c----------------------------------------------------------------------- |
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c enhance diffusivity at interface kbl - 1 |
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c----------------------------------------------------------------------- |
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223 |
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call enhance ( |
224 |
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I dkm1, hbl, kbl, diffus, casea |
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U , ghat |
226 |
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O , blmc |
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I , myThid ) |
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cph( |
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cph avoids recomp. of enhance |
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CADJ STORE blmc = comlev1_kpp, key=ikppkey, kind=isbyte |
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cph) |
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c----------------------------------------------------------------------- |
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c combine interior and boundary layer coefficients and nonlocal term |
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c !!!NOTE!!! In shallow (2-level) regions and for shallow mixed layers |
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c (< 1 level), diffusivity blmc can become negative. The max-s below |
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c are a hack until this problem is properly diagnosed and fixed. |
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c----------------------------------------------------------------------- |
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do k = 1, Nr |
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do i = 1, imt |
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if (k .lt. kbl(i)) then |
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#ifdef ALLOW_SHELFICE |
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C when there is shelfice on top (msk(i)=0), reset the boundary layer |
245 |
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C mixing coefficients blmc to pure Ri-number based mixing |
246 |
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blmc(i,k,1) = max ( blmc(i,k,1)*msk(i), |
247 |
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& diffus(i,k,1) ) |
248 |
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blmc(i,k,2) = max ( blmc(i,k,2)*msk(i), |
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& diffus(i,k,2) ) |
250 |
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blmc(i,k,3) = max ( blmc(i,k,3)*msk(i), |
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& diffus(i,k,3) ) |
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#endif /* not ALLOW_SHELFICE */ |
253 |
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diffus(i,k,1) = max ( blmc(i,k,1), viscArNr(1) ) |
254 |
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diffus(i,k,2) = max ( blmc(i,k,2), diffusKzS(i,Nr) ) |
255 |
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diffus(i,k,3) = max ( blmc(i,k,3), diffusKzT(i,Nr) ) |
256 |
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else |
257 |
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ghat(i,k) = 0. _d 0 |
258 |
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endif |
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end do |
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end do |
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#endif /* ALLOW_KPP */ |
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return |
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end |
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c************************************************************************* |
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269 |
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subroutine bldepth ( |
270 |
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I kmtj |
271 |
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I , dvsq, dbloc, Ritop, ustar, bo, bosol |
272 |
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#ifdef ALLOW_SALT_PLUME |
273 |
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I , boplume,SPDepth |
274 |
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#endif /* ALLOW_SALT_PLUME */ |
275 |
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I , coriol |
276 |
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I , ikppkey |
277 |
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O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
278 |
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I , bi, bj, myTime, myIter, myThid ) |
279 |
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280 |
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c the oceanic planetary boundary layer depth, hbl, is determined as |
281 |
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c the shallowest depth where the bulk Richardson number is |
282 |
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c equal to the critical value, Ricr. |
283 |
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c |
284 |
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c bulk Richardson numbers are evaluated by computing velocity and |
285 |
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c buoyancy differences between values at zgrid(kl) < 0 and surface |
286 |
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c reference values. |
287 |
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c in this configuration, the reference values are equal to the |
288 |
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c values in the surface layer. |
289 |
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c when using a very fine vertical grid, these values should be |
290 |
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c computed as the vertical average of velocity and buoyancy from |
291 |
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c the surface down to epsilon*zgrid(kl). |
292 |
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c |
293 |
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c when the bulk Richardson number at k exceeds Ricr, hbl is |
294 |
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c linearly interpolated between grid levels zgrid(k) and zgrid(k-1). |
295 |
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c |
296 |
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c The water column and the surface forcing are diagnosed for |
297 |
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c stable/ustable forcing conditions, and where hbl is relative |
298 |
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c to grid points (caseA), so that conditional branches can be |
299 |
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c avoided in later subroutines. |
300 |
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c |
301 |
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IMPLICIT NONE |
302 |
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303 |
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#include "SIZE.h" |
304 |
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#include "EEPARAMS.h" |
305 |
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#include "PARAMS.h" |
306 |
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#include "KPP_PARAMS.h" |
307 |
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#ifdef ALLOW_AUTODIFF |
308 |
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# include "tamc.h" |
309 |
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#endif |
310 |
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311 |
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c input |
312 |
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c------ |
313 |
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c bi, bj :: Array indices on which to apply calculations |
314 |
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c myTime :: Current time in simulation |
315 |
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c myIter :: Current iteration number in simulation |
316 |
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c myThid :: My Thread Id. number |
317 |
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c kmtj : number of vertical layers |
318 |
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c dvsq : (velocity shear re sfc)^2 ((m/s)^2) |
319 |
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c dbloc : local delta buoyancy across interfaces (m/s^2) |
320 |
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c Ritop : numerator of bulk Richardson Number |
321 |
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c =(z-zref)*dbsfc, where dbsfc=delta |
322 |
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c buoyancy with respect to surface ((m/s)^2) |
323 |
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c ustar : surface friction velocity (m/s) |
324 |
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c bo : surface turbulent buoyancy forcing (m^2/s^3) |
325 |
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c bosol : radiative buoyancy forcing (m^2/s^3) |
326 |
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c boplume : haline buoyancy forcing (m^2/s^3) |
327 |
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c coriol : Coriolis parameter (1/s) |
328 |
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INTEGER bi, bj |
329 |
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_RL myTime |
330 |
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integer myIter |
331 |
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integer myThid |
332 |
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integer kmtj(imt) |
333 |
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_RL dvsq (imt,Nr) |
334 |
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_RL dbloc (imt,Nr) |
335 |
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_RL Ritop (imt,Nr) |
336 |
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_RL ustar (imt) |
337 |
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_RL bo (imt) |
338 |
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_RL bosol (imt) |
339 |
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_RL coriol (imt) |
340 |
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integer ikppkey |
341 |
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#ifdef ALLOW_SALT_PLUME |
342 |
atn |
1.4 |
_RL boplume (imt,Nr) |
343 |
atn |
1.1 |
_RL SPDepth (imt) |
344 |
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#endif /* ALLOW_SALT_PLUME */ |
345 |
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346 |
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c output |
347 |
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c-------- |
348 |
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c hbl : boundary layer depth (m) |
349 |
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c bfsfc : Bo+radiation absorbed to d=hbf*hbl (m^2/s^3) |
350 |
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c stable : =1 in stable forcing; =0 unstable |
351 |
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c casea : =1 in case A, =0 in case B |
352 |
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c kbl : -1 of first grid level below hbl |
353 |
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c Rib : Bulk Richardson number |
354 |
|
|
c sigma : normalized depth (d/hbl) |
355 |
|
|
_RL hbl (imt) |
356 |
|
|
_RL bfsfc (imt) |
357 |
|
|
_RL stable (imt) |
358 |
|
|
_RL casea (imt) |
359 |
|
|
integer kbl(imt) |
360 |
|
|
_RL Rib (imt,Nr) |
361 |
|
|
_RL sigma (imt) |
362 |
|
|
|
363 |
|
|
#ifdef ALLOW_KPP |
364 |
|
|
|
365 |
|
|
c local |
366 |
|
|
c------- |
367 |
|
|
c wm, ws : turbulent velocity scales (m/s) |
368 |
|
|
_RL wm(imt), ws(imt) |
369 |
|
|
_RL worka(imt) |
370 |
|
|
_RL bvsq, vtsq, hekman, hmonob, hlimit, tempVar1, tempVar2 |
371 |
atn |
1.4 |
integer i, k, kl |
372 |
atn |
1.1 |
|
373 |
|
|
_RL p5 , eins |
374 |
|
|
parameter ( p5=0.5, eins=1.0 ) |
375 |
|
|
_RL minusone |
376 |
|
|
parameter ( minusone=-1.0 ) |
377 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
378 |
|
|
integer kkppkey |
379 |
|
|
#endif |
380 |
|
|
|
381 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
382 |
|
|
c KPPBFSFC - Bo+radiation absorbed to d=hbf*hbl + plume (m^2/s^3) |
383 |
|
|
_RL KPPBFSFC(imt,Nr) |
384 |
|
|
_RL KPPRi(imt,Nr) |
385 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
386 |
|
|
|
387 |
|
|
c find bulk Richardson number at every grid level until > Ricr |
388 |
|
|
c |
389 |
|
|
c note: the reference depth is -epsilon/2.*zgrid(k), but the reference |
390 |
|
|
c u,v,t,s values are simply the surface layer values, |
391 |
|
|
c and not the averaged values from 0 to 2*ref.depth, |
392 |
|
|
c which is necessary for very fine grids(top layer < 2m thickness) |
393 |
|
|
c note: max values when Ricr never satisfied are |
394 |
|
|
c kbl(i)=kmtj(i) and hbl(i)=-zgrid(kmtj(i)) |
395 |
|
|
|
396 |
|
|
c initialize hbl and kbl to bottomed out values |
397 |
|
|
|
398 |
|
|
do i = 1, imt |
399 |
|
|
Rib(i,1) = 0. _d 0 |
400 |
|
|
kbl(i) = max(kmtj(i),1) |
401 |
|
|
hbl(i) = -zgrid(kbl(i)) |
402 |
|
|
end do |
403 |
|
|
|
404 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
405 |
|
|
do kl = 1, Nr |
406 |
|
|
do i = 1, imt |
407 |
|
|
KPPBFSFC(i,kl) = 0. _d 0 |
408 |
|
|
KPPRi(i,kl) = 0. _d 0 |
409 |
|
|
enddo |
410 |
|
|
enddo |
411 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
412 |
|
|
|
413 |
|
|
do kl = 2, Nr |
414 |
|
|
|
415 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
416 |
|
|
kkppkey = (ikppkey-1)*Nr + kl |
417 |
|
|
#endif |
418 |
|
|
|
419 |
|
|
c compute bfsfc = sw fraction at hbf * zgrid |
420 |
|
|
|
421 |
|
|
do i = 1, imt |
422 |
|
|
worka(i) = zgrid(kl) |
423 |
|
|
end do |
424 |
|
|
CADJ store worka = comlev1_kpp_k, key = kkppkey, kind=isbyte |
425 |
|
|
call SWFRAC( |
426 |
|
|
I imt, hbf, |
427 |
|
|
U worka, |
428 |
|
|
I myTime, myIter, myThid ) |
429 |
|
|
CADJ store worka = comlev1_kpp_k, key = kkppkey, kind=isbyte |
430 |
|
|
|
431 |
|
|
do i = 1, imt |
432 |
|
|
|
433 |
|
|
c use caseA as temporary array |
434 |
|
|
|
435 |
|
|
casea(i) = -zgrid(kl) |
436 |
|
|
|
437 |
|
|
c compute bfsfc= Bo + radiative contribution down to hbf * hbl |
438 |
|
|
|
439 |
|
|
bfsfc(i) = bo(i) + bosol(i)*(1. - worka(i)) |
440 |
|
|
|
441 |
|
|
end do |
442 |
|
|
#ifdef ALLOW_SALT_PLUME |
443 |
|
|
c compute bfsfc = plume fraction at hbf * zgrid |
444 |
|
|
IF ( useSALT_PLUME ) THEN |
445 |
|
|
do i = 1, imt |
446 |
|
|
worka(i) = zgrid(kl) |
447 |
|
|
enddo |
448 |
atn |
1.3 |
#ifndef SALT_PLUME_VOLUME |
449 |
atn |
1.4 |
catn: in original way: accumulate all fractions of boplume above zgrid(kl) |
450 |
atn |
1.1 |
call SALT_PLUME_FRAC( |
451 |
|
|
I imt, hbf,SPDepth, |
452 |
|
|
U worka, |
453 |
|
|
I myTime, myIter, myThid) |
454 |
|
|
do i = 1, imt |
455 |
atn |
1.4 |
bfsfc(i) = bfsfc(i) + boplume(i,1)*(worka(i)) |
456 |
atn |
1.1 |
enddo |
457 |
atn |
1.3 |
#else /* def SALT_PLUME_VOLUME */ |
458 |
|
|
catn: in vol way: need to integrate down to hbl, so first locate |
459 |
|
|
c k level associated with this hbl, then sum up all SPforc[T,S] |
460 |
|
|
DO i = 1, imt |
461 |
atn |
1.4 |
DO k = 1, kl |
462 |
|
|
IF (abs(worka(i)).GE.abs( zgrid(k)-hwide(k)/2.0 )) THEN |
463 |
atn |
1.3 |
bfsfc(i) = bfsfc(i) + boplume(i,k) |
464 |
|
|
ENDIF |
465 |
|
|
ENDDO |
466 |
|
|
ENDDO |
467 |
|
|
#endif /* ndef SALT_PLUME_VOLUME */ |
468 |
atn |
1.1 |
ENDIF |
469 |
|
|
#endif /* ALLOW_SALT_PLUME */ |
470 |
|
|
|
471 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
472 |
|
|
do i = 1, imt |
473 |
|
|
KPPBFSFC(i,kl) = bfsfc(i) |
474 |
|
|
enddo |
475 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
476 |
|
|
|
477 |
|
|
do i = 1, imt |
478 |
|
|
stable(i) = p5 + sign(p5,bfsfc(i)) |
479 |
|
|
sigma(i) = stable(i) + (1. - stable(i)) * epsilon |
480 |
|
|
enddo |
481 |
|
|
|
482 |
|
|
c----------------------------------------------------------------------- |
483 |
|
|
c compute velocity scales at sigma, for hbl= caseA = -zgrid(kl) |
484 |
|
|
c----------------------------------------------------------------------- |
485 |
|
|
|
486 |
|
|
call wscale ( |
487 |
|
|
I sigma, casea, ustar, bfsfc, |
488 |
|
|
O wm, ws, myThid ) |
489 |
|
|
CADJ store ws = comlev1_kpp_k, key = kkppkey, kind=isbyte |
490 |
|
|
|
491 |
|
|
do i = 1, imt |
492 |
|
|
|
493 |
|
|
c----------------------------------------------------------------------- |
494 |
|
|
c compute the turbulent shear contribution to Rib |
495 |
|
|
c----------------------------------------------------------------------- |
496 |
|
|
|
497 |
|
|
bvsq = p5 * |
498 |
|
|
1 ( dbloc(i,kl-1) / (zgrid(kl-1)-zgrid(kl ))+ |
499 |
|
|
2 dbloc(i,kl ) / (zgrid(kl )-zgrid(kl+1))) |
500 |
|
|
|
501 |
|
|
if (bvsq .eq. 0. _d 0) then |
502 |
|
|
vtsq = 0. _d 0 |
503 |
|
|
else |
504 |
|
|
vtsq = -zgrid(kl) * ws(i) * sqrt(abs(bvsq)) * Vtc |
505 |
|
|
endif |
506 |
|
|
|
507 |
|
|
c compute bulk Richardson number at new level |
508 |
|
|
c note: Ritop needs to be zero on land and ocean bottom |
509 |
|
|
c points so that the following if statement gets triggered |
510 |
|
|
c correctly; otherwise, hbl might get set to (big) negative |
511 |
|
|
c values, that might exceed the limit for the "exp" function |
512 |
|
|
c in "SWFRAC" |
513 |
|
|
|
514 |
|
|
c |
515 |
|
|
c rg: assignment to double precision variable to avoid overflow |
516 |
|
|
c ph: test for zero nominator |
517 |
|
|
c |
518 |
|
|
|
519 |
|
|
tempVar1 = dvsq(i,kl) + vtsq |
520 |
|
|
tempVar2 = max(tempVar1, phepsi) |
521 |
|
|
Rib(i,kl) = Ritop(i,kl) / tempVar2 |
522 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
523 |
|
|
KPPRi(i,kl) = Rib(i,kl) |
524 |
|
|
#endif |
525 |
|
|
|
526 |
|
|
end do |
527 |
|
|
end do |
528 |
|
|
|
529 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
530 |
|
|
IF ( useDiagnostics ) THEN |
531 |
|
|
CALL DIAGNOSTICS_FILL(KPPBFSFC,'KPPbfsfc',0,Nr,2,bi,bj,myThid) |
532 |
|
|
CALL DIAGNOSTICS_FILL(KPPRi ,'KPPRi ',0,Nr,2,bi,bj,myThid) |
533 |
|
|
ENDIF |
534 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
535 |
|
|
|
536 |
|
|
cph( |
537 |
|
|
cph without this store, there is a recomputation error for |
538 |
|
|
cph rib in adbldepth (probably partial recomputation problem) |
539 |
|
|
CADJ store Rib = comlev1_kpp |
540 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
541 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy),Nr /) |
542 |
|
|
cph) |
543 |
|
|
|
544 |
|
|
do kl = 2, Nr |
545 |
|
|
do i = 1, imt |
546 |
|
|
if (kbl(i).eq.kmtj(i) .and. Rib(i,kl).gt.Ricr) kbl(i) = kl |
547 |
|
|
end do |
548 |
|
|
end do |
549 |
|
|
|
550 |
|
|
CADJ store kbl = comlev1_kpp |
551 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
552 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
553 |
|
|
|
554 |
|
|
do i = 1, imt |
555 |
|
|
kl = kbl(i) |
556 |
|
|
c linearly interpolate to find hbl where Rib = Ricr |
557 |
|
|
if (kl.gt.1 .and. kl.lt.kmtj(i)) then |
558 |
|
|
tempVar1 = (Rib(i,kl)-Rib(i,kl-1)) |
559 |
|
|
hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
560 |
|
|
1 (Ricr - Rib(i,kl-1)) / tempVar1 |
561 |
|
|
endif |
562 |
|
|
end do |
563 |
|
|
|
564 |
|
|
CADJ store hbl = comlev1_kpp |
565 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
566 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
567 |
|
|
|
568 |
|
|
c----------------------------------------------------------------------- |
569 |
|
|
c find stability and buoyancy forcing for boundary layer |
570 |
|
|
c----------------------------------------------------------------------- |
571 |
|
|
|
572 |
|
|
do i = 1, imt |
573 |
|
|
worka(i) = hbl(i) |
574 |
|
|
end do |
575 |
|
|
CADJ store worka = comlev1_kpp |
576 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
577 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
578 |
|
|
call SWFRAC( |
579 |
|
|
I imt, minusone, |
580 |
|
|
U worka, |
581 |
|
|
I myTime, myIter, myThid ) |
582 |
|
|
CADJ store worka = comlev1_kpp |
583 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
584 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
585 |
|
|
|
586 |
|
|
do i = 1, imt |
587 |
|
|
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
588 |
|
|
end do |
589 |
|
|
|
590 |
|
|
#ifdef ALLOW_SALT_PLUME |
591 |
atn |
1.3 |
IF ( useSALT_PLUME ) THEN |
592 |
atn |
1.1 |
#ifndef SALT_PLUME_VOLUME |
593 |
|
|
do i = 1, imt |
594 |
|
|
worka(i) = hbl(i) |
595 |
|
|
enddo |
596 |
|
|
call SALT_PLUME_FRAC( |
597 |
|
|
I imt,minusone,SPDepth, |
598 |
|
|
U worka, |
599 |
|
|
I myTime, myIter, myThid ) |
600 |
|
|
do i = 1, imt |
601 |
|
|
bfsfc(i) = bfsfc(i) + boplume(i) * (worka(i)) |
602 |
|
|
enddo |
603 |
atn |
1.3 |
#else /* def SALT_PLUME_VOLUME */ |
604 |
|
|
DO i = 1, imt |
605 |
|
|
DO k = 1, Nr |
606 |
atn |
1.4 |
IF (hbl(i).GE.abs( zgrid(k)-hwide(k)/2.0 )) THEN |
607 |
atn |
1.3 |
bfsfc(i) = bfsfc(i) + boplume(i,k) |
608 |
|
|
ENDIF |
609 |
|
|
ENDDO |
610 |
|
|
ENDDO |
611 |
|
|
#endif /* ndef SALT_PLUME_VOLUME */ |
612 |
atn |
1.1 |
ENDIF |
613 |
|
|
#endif /* ALLOW_SALT_PLUME */ |
614 |
|
|
CADJ store bfsfc = comlev1_kpp |
615 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
616 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
617 |
|
|
|
618 |
|
|
c-- ensure bfsfc is never 0 |
619 |
|
|
do i = 1, imt |
620 |
|
|
stable(i) = p5 + sign( p5, bfsfc(i) ) |
621 |
|
|
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
622 |
|
|
end do |
623 |
|
|
|
624 |
|
|
cph( |
625 |
|
|
cph added stable to store list to avoid extensive recomp. |
626 |
|
|
CADJ store bfsfc, stable = comlev1_kpp |
627 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
628 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
629 |
|
|
cph) |
630 |
|
|
|
631 |
|
|
c----------------------------------------------------------------------- |
632 |
|
|
c check hbl limits for hekman or hmonob |
633 |
|
|
c ph: test for zero nominator |
634 |
|
|
c----------------------------------------------------------------------- |
635 |
|
|
|
636 |
|
|
IF ( LimitHblStable ) THEN |
637 |
|
|
do i = 1, imt |
638 |
|
|
if (bfsfc(i) .gt. 0.0) then |
639 |
|
|
hekman = cekman * ustar(i) / max(abs(Coriol(i)),phepsi) |
640 |
|
|
hmonob = cmonob * ustar(i)*ustar(i)*ustar(i) |
641 |
|
|
& / vonk / bfsfc(i) |
642 |
|
|
hlimit = stable(i) * min(hekman,hmonob) |
643 |
|
|
& + (stable(i)-1.) * zgrid(Nr) |
644 |
|
|
hbl(i) = min(hbl(i),hlimit) |
645 |
|
|
end if |
646 |
|
|
end do |
647 |
|
|
ENDIF |
648 |
|
|
|
649 |
|
|
CADJ store hbl = comlev1_kpp |
650 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
651 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
652 |
|
|
|
653 |
|
|
do i = 1, imt |
654 |
|
|
hbl(i) = max(hbl(i),minKPPhbl) |
655 |
|
|
kbl(i) = kmtj(i) |
656 |
|
|
end do |
657 |
|
|
|
658 |
|
|
CADJ store hbl = comlev1_kpp |
659 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
660 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
661 |
|
|
|
662 |
|
|
c----------------------------------------------------------------------- |
663 |
|
|
c find new kbl |
664 |
|
|
c----------------------------------------------------------------------- |
665 |
|
|
|
666 |
|
|
do kl = 2, Nr |
667 |
|
|
do i = 1, imt |
668 |
|
|
if ( kbl(i).eq.kmtj(i) .and. (-zgrid(kl)).gt.hbl(i) ) then |
669 |
|
|
kbl(i) = kl |
670 |
|
|
endif |
671 |
|
|
end do |
672 |
|
|
end do |
673 |
|
|
|
674 |
|
|
c----------------------------------------------------------------------- |
675 |
|
|
c find stability and buoyancy forcing for final hbl values |
676 |
|
|
c----------------------------------------------------------------------- |
677 |
|
|
|
678 |
|
|
do i = 1, imt |
679 |
|
|
worka(i) = hbl(i) |
680 |
|
|
end do |
681 |
|
|
CADJ store worka = comlev1_kpp |
682 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
683 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
684 |
|
|
call SWFRAC( |
685 |
|
|
I imt, minusone, |
686 |
|
|
U worka, |
687 |
|
|
I myTime, myIter, myThid ) |
688 |
|
|
CADJ store worka = comlev1_kpp |
689 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
690 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
691 |
|
|
|
692 |
|
|
do i = 1, imt |
693 |
|
|
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
694 |
|
|
end do |
695 |
|
|
|
696 |
|
|
#ifdef ALLOW_SALT_PLUME |
697 |
atn |
1.3 |
IF ( useSALT_PLUME ) THEN |
698 |
atn |
1.1 |
#ifndef SALT_PLUME_VOLUME |
699 |
|
|
do i = 1, imt |
700 |
|
|
worka(i) = hbl(i) |
701 |
|
|
enddo |
702 |
|
|
call SALT_PLUME_FRAC( |
703 |
|
|
I imt,minusone,SPDepth, |
704 |
|
|
U worka, |
705 |
|
|
I myTime, myIter, myThid ) |
706 |
|
|
do i = 1, imt |
707 |
|
|
bfsfc(i) = bfsfc(i) + boplume(i) * (worka(i)) |
708 |
|
|
enddo |
709 |
atn |
1.3 |
#else /* def SALT_PLUME_VOLUME */ |
710 |
|
|
DO i = 1, imt |
711 |
|
|
DO k = 1, Nr |
712 |
atn |
1.4 |
IF (hbl(i).GE.abs( zgrid(k)-hwide(k)/2.0 )) THEN |
713 |
atn |
1.3 |
bfsfc(i) = bfsfc(i) + boplume(i,k) |
714 |
|
|
ENDIF |
715 |
|
|
ENDDO |
716 |
|
|
ENDDO |
717 |
|
|
#endif /* ndef SALT_PLUME_VOLUME */ |
718 |
atn |
1.1 |
ENDIF |
719 |
|
|
#endif /* ALLOW_SALT_PLUME */ |
720 |
|
|
CADJ store bfsfc = comlev1_kpp |
721 |
|
|
CADJ & , key=ikppkey, kind=isbyte, |
722 |
|
|
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
723 |
|
|
|
724 |
|
|
c-- ensures bfsfc is never 0 |
725 |
|
|
do i = 1, imt |
726 |
|
|
stable(i) = p5 + sign( p5, bfsfc(i) ) |
727 |
|
|
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
728 |
|
|
end do |
729 |
|
|
|
730 |
|
|
c----------------------------------------------------------------------- |
731 |
|
|
c determine caseA and caseB |
732 |
|
|
c----------------------------------------------------------------------- |
733 |
|
|
|
734 |
|
|
do i = 1, imt |
735 |
|
|
casea(i) = p5 + |
736 |
|
|
1 sign(p5, -zgrid(kbl(i)) - p5*hwide(kbl(i)) - hbl(i)) |
737 |
|
|
end do |
738 |
|
|
|
739 |
|
|
#endif /* ALLOW_KPP */ |
740 |
|
|
|
741 |
|
|
return |
742 |
|
|
end |
743 |
|
|
|
744 |
|
|
c************************************************************************* |
745 |
|
|
|
746 |
|
|
subroutine wscale ( |
747 |
|
|
I sigma, hbl, ustar, bfsfc, |
748 |
|
|
O wm, ws, |
749 |
|
|
I myThid ) |
750 |
|
|
|
751 |
|
|
c compute turbulent velocity scales. |
752 |
|
|
c use a 2D-lookup table for wm and ws as functions of ustar and |
753 |
|
|
c zetahat (=vonk*sigma*hbl*bfsfc). |
754 |
|
|
c |
755 |
|
|
c note: the lookup table is only used for unstable conditions |
756 |
|
|
c (zehat.le.0), in the stable domain wm (=ws) gets computed |
757 |
|
|
c directly. |
758 |
|
|
c |
759 |
|
|
IMPLICIT NONE |
760 |
|
|
|
761 |
|
|
#include "SIZE.h" |
762 |
|
|
#include "KPP_PARAMS.h" |
763 |
|
|
|
764 |
|
|
c input |
765 |
|
|
c------ |
766 |
|
|
c sigma : normalized depth (d/hbl) |
767 |
|
|
c hbl : boundary layer depth (m) |
768 |
|
|
c ustar : surface friction velocity (m/s) |
769 |
|
|
c bfsfc : total surface buoyancy flux (m^2/s^3) |
770 |
|
|
c myThid : thread number for this instance of the routine |
771 |
|
|
integer myThid |
772 |
|
|
_RL sigma(imt) |
773 |
|
|
_RL hbl (imt) |
774 |
|
|
_RL ustar(imt) |
775 |
|
|
_RL bfsfc(imt) |
776 |
|
|
|
777 |
|
|
c output |
778 |
|
|
c-------- |
779 |
|
|
c wm, ws : turbulent velocity scales at sigma |
780 |
|
|
_RL wm(imt), ws(imt) |
781 |
|
|
|
782 |
|
|
#ifdef ALLOW_KPP |
783 |
|
|
|
784 |
|
|
c local |
785 |
|
|
c------ |
786 |
|
|
c zehat : = zeta * ustar**3 |
787 |
|
|
_RL zehat |
788 |
|
|
|
789 |
|
|
integer iz, izp1, ju, i, jup1 |
790 |
|
|
_RL udiff, zdiff, zfrac, ufrac, fzfrac, wam |
791 |
|
|
_RL wbm, was, wbs, u3, tempVar |
792 |
|
|
|
793 |
|
|
c----------------------------------------------------------------------- |
794 |
|
|
c use lookup table for zehat < zmax only; otherwise use |
795 |
|
|
c stable formulae |
796 |
|
|
c----------------------------------------------------------------------- |
797 |
|
|
|
798 |
|
|
do i = 1, imt |
799 |
|
|
zehat = vonk*sigma(i)*hbl(i)*bfsfc(i) |
800 |
|
|
|
801 |
|
|
if (zehat .le. zmax) then |
802 |
|
|
|
803 |
|
|
zdiff = zehat - zmin |
804 |
|
|
iz = int( zdiff / deltaz ) |
805 |
|
|
iz = min( iz, nni ) |
806 |
|
|
iz = max( iz, 0 ) |
807 |
|
|
izp1 = iz + 1 |
808 |
|
|
|
809 |
|
|
udiff = ustar(i) - umin |
810 |
|
|
ju = int( udiff / deltau ) |
811 |
|
|
ju = min( ju, nnj ) |
812 |
|
|
ju = max( ju, 0 ) |
813 |
|
|
jup1 = ju + 1 |
814 |
|
|
|
815 |
|
|
zfrac = zdiff / deltaz - float(iz) |
816 |
|
|
ufrac = udiff / deltau - float(ju) |
817 |
|
|
|
818 |
|
|
fzfrac= 1. - zfrac |
819 |
|
|
wam = fzfrac * wmt(iz,jup1) + zfrac * wmt(izp1,jup1) |
820 |
|
|
wbm = fzfrac * wmt(iz,ju ) + zfrac * wmt(izp1,ju ) |
821 |
|
|
wm(i) = (1.-ufrac) * wbm + ufrac * wam |
822 |
|
|
|
823 |
|
|
was = fzfrac * wst(iz,jup1) + zfrac * wst(izp1,jup1) |
824 |
|
|
wbs = fzfrac * wst(iz,ju ) + zfrac * wst(izp1,ju ) |
825 |
|
|
ws(i) = (1.-ufrac) * wbs + ufrac * was |
826 |
|
|
|
827 |
|
|
else |
828 |
|
|
|
829 |
|
|
u3 = ustar(i) * ustar(i) * ustar(i) |
830 |
|
|
tempVar = u3 + conc1 * zehat |
831 |
|
|
wm(i) = vonk * ustar(i) * u3 / tempVar |
832 |
|
|
ws(i) = wm(i) |
833 |
|
|
|
834 |
|
|
endif |
835 |
|
|
|
836 |
|
|
end do |
837 |
|
|
|
838 |
|
|
#endif /* ALLOW_KPP */ |
839 |
|
|
|
840 |
|
|
return |
841 |
|
|
end |
842 |
|
|
|
843 |
|
|
c************************************************************************* |
844 |
|
|
|
845 |
|
|
subroutine Ri_iwmix ( |
846 |
|
|
I kmtj, shsq, dbloc, dblocSm, |
847 |
|
|
I diffusKzS, diffusKzT, |
848 |
|
|
I ikppkey, |
849 |
|
|
O diffus, |
850 |
|
|
I myThid ) |
851 |
|
|
|
852 |
|
|
c compute interior viscosity diffusivity coefficients due |
853 |
|
|
c to shear instability (dependent on a local Richardson number), |
854 |
|
|
c to background internal wave activity, and |
855 |
|
|
c to static instability (local Richardson number < 0). |
856 |
|
|
|
857 |
|
|
IMPLICIT NONE |
858 |
|
|
|
859 |
|
|
#include "SIZE.h" |
860 |
|
|
#include "EEPARAMS.h" |
861 |
|
|
#include "PARAMS.h" |
862 |
|
|
#include "KPP_PARAMS.h" |
863 |
|
|
#ifdef ALLOW_AUTODIFF |
864 |
|
|
# include "AUTODIFF_PARAMS.h" |
865 |
|
|
# include "tamc.h" |
866 |
|
|
#endif |
867 |
|
|
|
868 |
|
|
c input |
869 |
|
|
c kmtj (imt) number of vertical layers on this row |
870 |
|
|
c shsq (imt,Nr) (local velocity shear)^2 ((m/s)^2) |
871 |
|
|
c dbloc (imt,Nr) local delta buoyancy (m/s^2) |
872 |
|
|
c dblocSm(imt,Nr) horizontally smoothed dbloc (m/s^2) |
873 |
|
|
c diffusKzS(imt,Nr)- background vertical diffusivity for scalars (m^2/s) |
874 |
|
|
c diffusKzT(imt,Nr)- background vertical diffusivity for theta (m^2/s) |
875 |
|
|
c myThid :: My Thread Id. number |
876 |
|
|
integer kmtj (imt) |
877 |
|
|
_RL shsq (imt,Nr) |
878 |
|
|
_RL dbloc (imt,Nr) |
879 |
|
|
_RL dblocSm (imt,Nr) |
880 |
|
|
_RL diffusKzS(imt,Nr) |
881 |
|
|
_RL diffusKzT(imt,Nr) |
882 |
|
|
integer ikppkey |
883 |
|
|
integer myThid |
884 |
|
|
|
885 |
|
|
c output |
886 |
|
|
c diffus(imt,0:Nrp1,1) vertical viscosivity coefficient (m^2/s) |
887 |
|
|
c diffus(imt,0:Nrp1,2) vertical scalar diffusivity (m^2/s) |
888 |
|
|
c diffus(imt,0:Nrp1,3) vertical temperature diffusivity (m^2/s) |
889 |
|
|
_RL diffus(imt,0:Nrp1,3) |
890 |
|
|
|
891 |
|
|
#ifdef ALLOW_KPP |
892 |
|
|
|
893 |
|
|
c local variables |
894 |
|
|
c Rig local Richardson number |
895 |
|
|
c fRi, fcon function of Rig |
896 |
|
|
_RL Rig |
897 |
|
|
_RL fRi, fcon |
898 |
|
|
_RL ratio |
899 |
|
|
integer i, ki, kp1 |
900 |
|
|
_RL c1, c0 |
901 |
|
|
|
902 |
|
|
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
903 |
|
|
integer mr |
904 |
|
|
CADJ INIT kpp_ri_tape_mr = common, 1 |
905 |
|
|
#endif |
906 |
|
|
|
907 |
|
|
c constants |
908 |
|
|
c1 = 1. _d 0 |
909 |
|
|
c0 = 0. _d 0 |
910 |
|
|
|
911 |
|
|
c----------------------------------------------------------------------- |
912 |
|
|
c compute interior gradient Ri at all interfaces ki=1,Nr, (not surface) |
913 |
|
|
c use diffus(*,*,1) as temporary storage of Ri to be smoothed |
914 |
|
|
c use diffus(*,*,2) as temporary storage for Brunt-Vaisala squared |
915 |
|
|
c set values at bottom and below to nearest value above bottom |
916 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
917 |
|
|
C break data flow dependence on diffus |
918 |
|
|
diffus(1,1,1) = 0.0 |
919 |
|
|
|
920 |
|
|
do ki = 1, Nr |
921 |
|
|
do i = 1, imt |
922 |
|
|
diffus(i,ki,1) = 0. |
923 |
|
|
diffus(i,ki,2) = 0. |
924 |
|
|
diffus(i,ki,3) = 0. |
925 |
|
|
enddo |
926 |
|
|
enddo |
927 |
|
|
#endif |
928 |
|
|
|
929 |
|
|
do ki = 1, Nr |
930 |
|
|
do i = 1, imt |
931 |
|
|
if (kmtj(i) .LE. 1 ) then |
932 |
|
|
diffus(i,ki,1) = 0. |
933 |
|
|
diffus(i,ki,2) = 0. |
934 |
|
|
elseif (ki .GE. kmtj(i)) then |
935 |
|
|
diffus(i,ki,1) = diffus(i,ki-1,1) |
936 |
|
|
diffus(i,ki,2) = diffus(i,ki-1,2) |
937 |
|
|
else |
938 |
|
|
diffus(i,ki,1) = dblocSm(i,ki) * (zgrid(ki)-zgrid(ki+1)) |
939 |
|
|
& / max( Shsq(i,ki), phepsi ) |
940 |
|
|
diffus(i,ki,2) = dbloc(i,ki) / (zgrid(ki)-zgrid(ki+1)) |
941 |
|
|
endif |
942 |
|
|
end do |
943 |
|
|
end do |
944 |
|
|
CADJ store diffus = comlev1_kpp, key=ikppkey, kind=isbyte |
945 |
|
|
|
946 |
|
|
c----------------------------------------------------------------------- |
947 |
|
|
c vertically smooth Ri |
948 |
|
|
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
949 |
|
|
do mr = 1, num_v_smooth_Ri |
950 |
|
|
|
951 |
|
|
CADJ store diffus(:,:,1) = kpp_ri_tape_mr |
952 |
|
|
CADJ & , key=mr, shape=(/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2 /) |
953 |
|
|
|
954 |
|
|
call z121 ( |
955 |
|
|
U diffus(1,0,1), |
956 |
|
|
I myThid ) |
957 |
|
|
end do |
958 |
|
|
#endif |
959 |
|
|
|
960 |
|
|
c----------------------------------------------------------------------- |
961 |
|
|
c after smoothing loop |
962 |
|
|
|
963 |
|
|
do ki = 1, Nr |
964 |
|
|
do i = 1, imt |
965 |
|
|
|
966 |
|
|
c evaluate f of Brunt-Vaisala squared for convection, store in fcon |
967 |
|
|
|
968 |
|
|
Rig = max ( diffus(i,ki,2) , BVSQcon ) |
969 |
|
|
ratio = min ( (BVSQcon - Rig) / BVSQcon, c1 ) |
970 |
|
|
fcon = c1 - ratio * ratio |
971 |
|
|
fcon = fcon * fcon * fcon |
972 |
|
|
|
973 |
|
|
c evaluate f of smooth Ri for shear instability, store in fRi |
974 |
|
|
|
975 |
|
|
Rig = max ( diffus(i,ki,1), c0 ) |
976 |
|
|
ratio = min ( Rig / Riinfty , c1 ) |
977 |
|
|
fRi = c1 - ratio * ratio |
978 |
|
|
fRi = fRi * fRi * fRi |
979 |
|
|
|
980 |
|
|
c ---------------------------------------------------------------------- |
981 |
|
|
c evaluate diffusivities and viscosity |
982 |
|
|
c mixing due to internal waves, and shear and static instability |
983 |
|
|
|
984 |
|
|
kp1 = MIN(ki+1,Nr) |
985 |
|
|
#ifdef EXCLUDE_KPP_SHEAR_MIX |
986 |
|
|
diffus(i,ki,1) = viscArNr(1) |
987 |
|
|
diffus(i,ki,2) = diffusKzS(i,kp1) |
988 |
|
|
diffus(i,ki,3) = diffusKzT(i,kp1) |
989 |
|
|
#else /* EXCLUDE_KPP_SHEAR_MIX */ |
990 |
|
|
# ifdef ALLOW_AUTODIFF |
991 |
|
|
if ( inAdMode ) then |
992 |
|
|
diffus(i,ki,1) = viscArNr(1) |
993 |
|
|
diffus(i,ki,2) = diffusKzS(i,kp1) |
994 |
|
|
diffus(i,ki,3) = diffusKzT(i,kp1) |
995 |
|
|
else |
996 |
|
|
# else /* ALLOW_AUTODIFF */ |
997 |
|
|
if ( .TRUE. ) then |
998 |
|
|
# endif /* ALLOW_AUTODIFF */ |
999 |
|
|
diffus(i,ki,1) = viscArNr(1) + fcon*difmcon + fRi*difm0 |
1000 |
|
|
diffus(i,ki,2) = diffusKzS(i,kp1)+fcon*difscon+fRi*difs0 |
1001 |
|
|
diffus(i,ki,3) = diffusKzT(i,kp1)+fcon*diftcon+fRi*dift0 |
1002 |
|
|
endif |
1003 |
|
|
#endif /* EXCLUDE_KPP_SHEAR_MIX */ |
1004 |
|
|
end do |
1005 |
|
|
end do |
1006 |
|
|
|
1007 |
|
|
c ------------------------------------------------------------------------ |
1008 |
|
|
c set surface values to 0.0 |
1009 |
|
|
|
1010 |
|
|
do i = 1, imt |
1011 |
|
|
diffus(i,0,1) = c0 |
1012 |
|
|
diffus(i,0,2) = c0 |
1013 |
|
|
diffus(i,0,3) = c0 |
1014 |
|
|
end do |
1015 |
|
|
|
1016 |
|
|
#endif /* ALLOW_KPP */ |
1017 |
|
|
|
1018 |
|
|
return |
1019 |
|
|
end |
1020 |
|
|
|
1021 |
|
|
c************************************************************************* |
1022 |
|
|
|
1023 |
|
|
subroutine z121 ( |
1024 |
|
|
U v, |
1025 |
|
|
I myThid ) |
1026 |
|
|
|
1027 |
|
|
c Apply 121 smoothing in k to 2-d array V(i,k=1,Nr) |
1028 |
|
|
c top (0) value is used as a dummy |
1029 |
|
|
c bottom (Nrp1) value is set to input value from above. |
1030 |
|
|
|
1031 |
|
|
c Note that it is important to exclude from the smoothing any points |
1032 |
|
|
c that are outside the range of the K(Ri) scheme, ie. >0.8, or <0.0. |
1033 |
|
|
c Otherwise, there is interference with other physics, especially |
1034 |
|
|
c penetrative convection. |
1035 |
|
|
|
1036 |
|
|
IMPLICIT NONE |
1037 |
|
|
#include "SIZE.h" |
1038 |
|
|
#include "KPP_PARAMS.h" |
1039 |
|
|
|
1040 |
|
|
c input/output |
1041 |
|
|
c------------- |
1042 |
|
|
c v : 2-D array to be smoothed in Nrp1 direction |
1043 |
|
|
c myThid: thread number for this instance of the routine |
1044 |
|
|
integer myThid |
1045 |
|
|
_RL v(imt,0:Nrp1) |
1046 |
|
|
|
1047 |
|
|
#ifdef ALLOW_KPP |
1048 |
|
|
|
1049 |
|
|
c local |
1050 |
|
|
_RL zwork, zflag |
1051 |
|
|
_RL KRi_range(1:Nrp1) |
1052 |
|
|
integer i, k, km1, kp1 |
1053 |
|
|
|
1054 |
|
|
_RL p0 , p25 , p5 , p2 |
1055 |
|
|
parameter ( p0 = 0.0, p25 = 0.25, p5 = 0.5, p2 = 2.0 ) |
1056 |
|
|
|
1057 |
|
|
KRi_range(Nrp1) = p0 |
1058 |
|
|
|
1059 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
1060 |
|
|
C-- dummy assignment to end declaration part for TAMC |
1061 |
|
|
i = 0 |
1062 |
|
|
|
1063 |
|
|
C-- HPF directive to help TAMC |
1064 |
|
|
CHPF$ INDEPENDENT |
1065 |
|
|
CADJ INIT z121tape = common, Nr |
1066 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
1067 |
|
|
|
1068 |
|
|
do i = 1, imt |
1069 |
|
|
|
1070 |
|
|
k = 1 |
1071 |
|
|
CADJ STORE v(i,k) = z121tape |
1072 |
|
|
v(i,Nrp1) = v(i,Nr) |
1073 |
|
|
|
1074 |
|
|
do k = 1, Nr |
1075 |
|
|
KRi_range(k) = p5 + SIGN(p5,v(i,k)) |
1076 |
|
|
KRi_range(k) = KRi_range(k) * |
1077 |
|
|
& ( p5 + SIGN(p5,(Riinfty-v(i,k))) ) |
1078 |
|
|
end do |
1079 |
|
|
|
1080 |
|
|
zwork = KRi_range(1) * v(i,1) |
1081 |
|
|
v(i,1) = p2 * v(i,1) + |
1082 |
|
|
& KRi_range(1) * KRi_range(2) * v(i,2) |
1083 |
|
|
zflag = p2 + KRi_range(1) * KRi_range(2) |
1084 |
|
|
v(i,1) = v(i,1) / zflag |
1085 |
|
|
|
1086 |
|
|
do k = 2, Nr |
1087 |
|
|
CADJ STORE v(i,k), zwork = z121tape |
1088 |
|
|
km1 = k - 1 |
1089 |
|
|
kp1 = k + 1 |
1090 |
|
|
zflag = v(i,k) |
1091 |
|
|
v(i,k) = p2 * v(i,k) + |
1092 |
|
|
& KRi_range(k) * KRi_range(kp1) * v(i,kp1) + |
1093 |
|
|
& KRi_range(k) * zwork |
1094 |
|
|
zwork = KRi_range(k) * zflag |
1095 |
|
|
zflag = p2 + KRi_range(k)*(KRi_range(kp1)+KRi_range(km1)) |
1096 |
|
|
v(i,k) = v(i,k) / zflag |
1097 |
|
|
end do |
1098 |
|
|
|
1099 |
|
|
end do |
1100 |
|
|
|
1101 |
|
|
#endif /* ALLOW_KPP */ |
1102 |
|
|
|
1103 |
|
|
return |
1104 |
|
|
end |
1105 |
|
|
|
1106 |
|
|
c************************************************************************* |
1107 |
|
|
|
1108 |
|
|
subroutine smooth_horiz ( |
1109 |
|
|
I k, bi, bj, |
1110 |
|
|
U fld, |
1111 |
|
|
I myThid ) |
1112 |
|
|
|
1113 |
|
|
c Apply horizontal smoothing to global _RL 2-D array |
1114 |
|
|
|
1115 |
|
|
IMPLICIT NONE |
1116 |
|
|
#include "SIZE.h" |
1117 |
|
|
#include "GRID.h" |
1118 |
|
|
#include "KPP_PARAMS.h" |
1119 |
|
|
|
1120 |
|
|
c input |
1121 |
|
|
c bi, bj : array indices |
1122 |
|
|
c k : vertical index used for masking |
1123 |
|
|
c myThid : thread number for this instance of the routine |
1124 |
|
|
INTEGER myThid |
1125 |
|
|
integer k, bi, bj |
1126 |
|
|
|
1127 |
|
|
c input/output |
1128 |
|
|
c fld : 2-D array to be smoothed |
1129 |
|
|
_RL fld( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1130 |
|
|
|
1131 |
|
|
#ifdef ALLOW_KPP |
1132 |
|
|
|
1133 |
|
|
c local |
1134 |
|
|
integer i, j, im1, ip1, jm1, jp1 |
1135 |
|
|
_RL tempVar |
1136 |
|
|
_RL fld_tmp( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1137 |
|
|
|
1138 |
|
|
integer imin , imax , jmin , jmax |
1139 |
|
|
parameter(imin=2-OLx, imax=sNx+OLx-1, jmin=2-OLy, jmax=sNy+OLy-1) |
1140 |
|
|
|
1141 |
|
|
_RL p0 , p5 , p25 , p125 , p0625 |
1142 |
|
|
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
1143 |
|
|
|
1144 |
|
|
DO j = jmin, jmax |
1145 |
|
|
jm1 = j-1 |
1146 |
|
|
jp1 = j+1 |
1147 |
|
|
DO i = imin, imax |
1148 |
|
|
im1 = i-1 |
1149 |
|
|
ip1 = i+1 |
1150 |
|
|
tempVar = |
1151 |
|
|
& p25 * maskC(i ,j ,k,bi,bj) + |
1152 |
|
|
& p125 * ( maskC(im1,j ,k,bi,bj) + |
1153 |
|
|
& maskC(ip1,j ,k,bi,bj) + |
1154 |
|
|
& maskC(i ,jm1,k,bi,bj) + |
1155 |
|
|
& maskC(i ,jp1,k,bi,bj) ) + |
1156 |
|
|
& p0625 * ( maskC(im1,jm1,k,bi,bj) + |
1157 |
|
|
& maskC(im1,jp1,k,bi,bj) + |
1158 |
|
|
& maskC(ip1,jm1,k,bi,bj) + |
1159 |
|
|
& maskC(ip1,jp1,k,bi,bj) ) |
1160 |
|
|
IF ( tempVar .GE. p25 ) THEN |
1161 |
|
|
fld_tmp(i,j) = ( |
1162 |
|
|
& p25 * fld(i ,j )*maskC(i ,j ,k,bi,bj) + |
1163 |
|
|
& p125 *(fld(im1,j )*maskC(im1,j ,k,bi,bj) + |
1164 |
|
|
& fld(ip1,j )*maskC(ip1,j ,k,bi,bj) + |
1165 |
|
|
& fld(i ,jm1)*maskC(i ,jm1,k,bi,bj) + |
1166 |
|
|
& fld(i ,jp1)*maskC(i ,jp1,k,bi,bj))+ |
1167 |
|
|
& p0625*(fld(im1,jm1)*maskC(im1,jm1,k,bi,bj) + |
1168 |
|
|
& fld(im1,jp1)*maskC(im1,jp1,k,bi,bj) + |
1169 |
|
|
& fld(ip1,jm1)*maskC(ip1,jm1,k,bi,bj) + |
1170 |
|
|
& fld(ip1,jp1)*maskC(ip1,jp1,k,bi,bj))) |
1171 |
|
|
& / tempVar |
1172 |
|
|
ELSE |
1173 |
|
|
fld_tmp(i,j) = fld(i,j) |
1174 |
|
|
ENDIF |
1175 |
|
|
ENDDO |
1176 |
|
|
ENDDO |
1177 |
|
|
|
1178 |
|
|
c transfer smoothed field to output array |
1179 |
|
|
DO j = jmin, jmax |
1180 |
|
|
DO i = imin, imax |
1181 |
|
|
fld(i,j) = fld_tmp(i,j) |
1182 |
|
|
ENDDO |
1183 |
|
|
ENDDO |
1184 |
|
|
|
1185 |
|
|
#endif /* ALLOW_KPP */ |
1186 |
|
|
|
1187 |
|
|
return |
1188 |
|
|
end |
1189 |
|
|
|
1190 |
|
|
c************************************************************************* |
1191 |
|
|
|
1192 |
|
|
subroutine blmix ( |
1193 |
|
|
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
1194 |
|
|
O , dkm1, blmc, ghat, sigma, ikppkey |
1195 |
|
|
I , myThid ) |
1196 |
|
|
|
1197 |
|
|
c mixing coefficients within boundary layer depend on surface |
1198 |
|
|
c forcing and the magnitude and gradient of interior mixing below |
1199 |
|
|
c the boundary layer ("matching"). |
1200 |
|
|
c |
1201 |
|
|
c caution: if mixing bottoms out at hbl = -zgrid(Nr) then |
1202 |
|
|
c fictitious layer at Nrp1 is needed with small but finite width |
1203 |
|
|
c hwide(Nrp1) (eg. epsln = 1.e-20). |
1204 |
|
|
c |
1205 |
|
|
IMPLICIT NONE |
1206 |
|
|
|
1207 |
|
|
#include "SIZE.h" |
1208 |
|
|
#include "KPP_PARAMS.h" |
1209 |
|
|
#ifdef ALLOW_AUTODIFF |
1210 |
|
|
# include "tamc.h" |
1211 |
|
|
#endif |
1212 |
|
|
|
1213 |
|
|
c input |
1214 |
|
|
c ustar (imt) surface friction velocity (m/s) |
1215 |
|
|
c bfsfc (imt) surface buoyancy forcing (m^2/s^3) |
1216 |
|
|
c hbl (imt) boundary layer depth (m) |
1217 |
|
|
c stable(imt) = 1 in stable forcing |
1218 |
|
|
c casea (imt) = 1 in case A |
1219 |
|
|
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1220 |
|
|
c kbl (imt) -1 of first grid level below hbl |
1221 |
|
|
c myThid thread number for this instance of the routine |
1222 |
|
|
integer myThid |
1223 |
|
|
_RL ustar (imt) |
1224 |
|
|
_RL bfsfc (imt) |
1225 |
|
|
_RL hbl (imt) |
1226 |
|
|
_RL stable(imt) |
1227 |
|
|
_RL casea (imt) |
1228 |
|
|
_RL diffus(imt,0:Nrp1,mdiff) |
1229 |
|
|
integer kbl(imt) |
1230 |
|
|
|
1231 |
|
|
c output |
1232 |
|
|
c dkm1 (imt,mdiff) boundary layer difs at kbl-1 level |
1233 |
|
|
c blmc (imt,Nr,mdiff) boundary layer mixing coefficients (m^2/s) |
1234 |
|
|
c ghat (imt,Nr) nonlocal scalar transport |
1235 |
|
|
c sigma(imt) normalized depth (d / hbl) |
1236 |
|
|
_RL dkm1 (imt,mdiff) |
1237 |
|
|
_RL blmc (imt,Nr,mdiff) |
1238 |
|
|
_RL ghat (imt,Nr) |
1239 |
|
|
_RL sigma(imt) |
1240 |
|
|
integer ikppkey |
1241 |
|
|
|
1242 |
|
|
#ifdef ALLOW_KPP |
1243 |
|
|
|
1244 |
|
|
c local |
1245 |
|
|
c gat1*(imt) shape function at sigma = 1 |
1246 |
|
|
c dat1*(imt) derivative of shape function at sigma = 1 |
1247 |
|
|
c ws(imt), wm(imt) turbulent velocity scales (m/s) |
1248 |
|
|
_RL gat1m(imt), gat1s(imt), gat1t(imt) |
1249 |
|
|
_RL dat1m(imt), dat1s(imt), dat1t(imt) |
1250 |
|
|
_RL ws(imt), wm(imt) |
1251 |
|
|
integer i, kn, ki |
1252 |
|
|
_RL R, dvdzup, dvdzdn, viscp |
1253 |
|
|
_RL difsp, diftp, visch, difsh, difth |
1254 |
|
|
_RL f1, sig, a1, a2, a3, delhat |
1255 |
|
|
_RL Gm, Gs, Gt |
1256 |
|
|
_RL tempVar |
1257 |
|
|
|
1258 |
|
|
_RL p0 , eins |
1259 |
|
|
parameter (p0=0.0, eins=1.0) |
1260 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
1261 |
|
|
integer kkppkey |
1262 |
|
|
#endif |
1263 |
|
|
|
1264 |
|
|
c----------------------------------------------------------------------- |
1265 |
|
|
c compute velocity scales at hbl |
1266 |
|
|
c----------------------------------------------------------------------- |
1267 |
|
|
|
1268 |
|
|
do i = 1, imt |
1269 |
|
|
sigma(i) = stable(i) * 1.0 + (1. - stable(i)) * epsilon |
1270 |
|
|
end do |
1271 |
|
|
|
1272 |
|
|
CADJ STORE sigma = comlev1_kpp, key=ikppkey, kind=isbyte |
1273 |
|
|
call wscale ( |
1274 |
|
|
I sigma, hbl, ustar, bfsfc, |
1275 |
|
|
O wm, ws, myThid ) |
1276 |
|
|
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1277 |
|
|
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1278 |
|
|
|
1279 |
|
|
do i = 1, imt |
1280 |
|
|
wm(i) = sign(eins,wm(i))*max(phepsi,abs(wm(i))) |
1281 |
|
|
ws(i) = sign(eins,ws(i))*max(phepsi,abs(ws(i))) |
1282 |
|
|
end do |
1283 |
|
|
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1284 |
|
|
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1285 |
|
|
|
1286 |
|
|
do i = 1, imt |
1287 |
|
|
|
1288 |
|
|
kn = int(caseA(i)+phepsi) *(kbl(i) -1) + |
1289 |
|
|
$ (1 - int(caseA(i)+phepsi)) * kbl(i) |
1290 |
|
|
|
1291 |
|
|
c----------------------------------------------------------------------- |
1292 |
|
|
c find the interior viscosities and derivatives at hbl(i) |
1293 |
|
|
c----------------------------------------------------------------------- |
1294 |
|
|
|
1295 |
|
|
delhat = 0.5*hwide(kn) - zgrid(kn) - hbl(i) |
1296 |
|
|
R = 1.0 - delhat / hwide(kn) |
1297 |
|
|
dvdzup = (diffus(i,kn-1,1) - diffus(i,kn ,1)) / hwide(kn) |
1298 |
|
|
dvdzdn = (diffus(i,kn ,1) - diffus(i,kn+1,1)) / hwide(kn+1) |
1299 |
|
|
viscp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1300 |
|
|
1 R * (dvdzdn + abs(dvdzdn)) ) |
1301 |
|
|
|
1302 |
|
|
dvdzup = (diffus(i,kn-1,2) - diffus(i,kn ,2)) / hwide(kn) |
1303 |
|
|
dvdzdn = (diffus(i,kn ,2) - diffus(i,kn+1,2)) / hwide(kn+1) |
1304 |
|
|
difsp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1305 |
|
|
1 R * (dvdzdn + abs(dvdzdn)) ) |
1306 |
|
|
|
1307 |
|
|
dvdzup = (diffus(i,kn-1,3) - diffus(i,kn ,3)) / hwide(kn) |
1308 |
|
|
dvdzdn = (diffus(i,kn ,3) - diffus(i,kn+1,3)) / hwide(kn+1) |
1309 |
|
|
diftp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1310 |
|
|
1 R * (dvdzdn + abs(dvdzdn)) ) |
1311 |
|
|
|
1312 |
|
|
visch = diffus(i,kn,1) + viscp * delhat |
1313 |
|
|
difsh = diffus(i,kn,2) + difsp * delhat |
1314 |
|
|
difth = diffus(i,kn,3) + diftp * delhat |
1315 |
|
|
|
1316 |
|
|
f1 = stable(i) * conc1 * bfsfc(i) / |
1317 |
|
|
& max(ustar(i)**4,phepsi) |
1318 |
|
|
gat1m(i) = visch / hbl(i) / wm(i) |
1319 |
|
|
dat1m(i) = -viscp / wm(i) + f1 * visch |
1320 |
|
|
|
1321 |
|
|
gat1s(i) = difsh / hbl(i) / ws(i) |
1322 |
|
|
dat1s(i) = -difsp / ws(i) + f1 * difsh |
1323 |
|
|
|
1324 |
|
|
gat1t(i) = difth / hbl(i) / ws(i) |
1325 |
|
|
dat1t(i) = -diftp / ws(i) + f1 * difth |
1326 |
|
|
|
1327 |
|
|
end do |
1328 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1329 |
|
|
CADJ STORE gat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1330 |
|
|
CADJ STORE gat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1331 |
|
|
CADJ STORE gat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1332 |
|
|
CADJ STORE dat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1333 |
|
|
CADJ STORE dat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1334 |
|
|
CADJ STORE dat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1335 |
|
|
#endif |
1336 |
|
|
do i = 1, imt |
1337 |
|
|
dat1m(i) = min(dat1m(i),p0) |
1338 |
|
|
dat1s(i) = min(dat1s(i),p0) |
1339 |
|
|
dat1t(i) = min(dat1t(i),p0) |
1340 |
|
|
end do |
1341 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1342 |
|
|
CADJ STORE dat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1343 |
|
|
CADJ STORE dat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1344 |
|
|
CADJ STORE dat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1345 |
|
|
#endif |
1346 |
|
|
|
1347 |
|
|
do ki = 1, Nr |
1348 |
|
|
|
1349 |
|
|
#ifdef ALLOW_AUTODIFF_TAMC |
1350 |
|
|
kkppkey = (ikppkey-1)*Nr + ki |
1351 |
|
|
#endif |
1352 |
|
|
|
1353 |
|
|
c----------------------------------------------------------------------- |
1354 |
|
|
c compute turbulent velocity scales on the interfaces |
1355 |
|
|
c----------------------------------------------------------------------- |
1356 |
|
|
|
1357 |
|
|
do i = 1, imt |
1358 |
|
|
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1359 |
|
|
sigma(i) = stable(i)*sig + (1.-stable(i))*min(sig,epsilon) |
1360 |
|
|
end do |
1361 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1362 |
|
|
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1363 |
|
|
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1364 |
|
|
#endif |
1365 |
|
|
CADJ STORE sigma = comlev1_kpp_k, key = kkppkey |
1366 |
|
|
call wscale ( |
1367 |
|
|
I sigma, hbl, ustar, bfsfc, |
1368 |
|
|
O wm, ws, myThid ) |
1369 |
|
|
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1370 |
|
|
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1371 |
|
|
|
1372 |
|
|
c----------------------------------------------------------------------- |
1373 |
|
|
c compute the dimensionless shape functions at the interfaces |
1374 |
|
|
c----------------------------------------------------------------------- |
1375 |
|
|
|
1376 |
|
|
do i = 1, imt |
1377 |
|
|
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1378 |
|
|
a1 = sig - 2. |
1379 |
|
|
a2 = 3. - 2. * sig |
1380 |
|
|
a3 = sig - 1. |
1381 |
|
|
|
1382 |
|
|
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1383 |
|
|
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1384 |
|
|
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1385 |
|
|
|
1386 |
|
|
c----------------------------------------------------------------------- |
1387 |
|
|
c compute boundary layer diffusivities at the interfaces |
1388 |
|
|
c----------------------------------------------------------------------- |
1389 |
|
|
|
1390 |
|
|
blmc(i,ki,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1391 |
|
|
blmc(i,ki,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1392 |
|
|
blmc(i,ki,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1393 |
|
|
|
1394 |
|
|
c----------------------------------------------------------------------- |
1395 |
|
|
c nonlocal transport term = ghat * <ws>o |
1396 |
|
|
c----------------------------------------------------------------------- |
1397 |
|
|
|
1398 |
|
|
tempVar = ws(i) * hbl(i) |
1399 |
|
|
ghat(i,ki) = (1.-stable(i)) * cg / max(phepsi,tempVar) |
1400 |
|
|
|
1401 |
|
|
end do |
1402 |
|
|
end do |
1403 |
|
|
|
1404 |
|
|
c----------------------------------------------------------------------- |
1405 |
|
|
c find diffusivities at kbl-1 grid level |
1406 |
|
|
c----------------------------------------------------------------------- |
1407 |
|
|
|
1408 |
|
|
do i = 1, imt |
1409 |
|
|
sig = -zgrid(kbl(i)-1) / hbl(i) |
1410 |
|
|
sigma(i) = stable(i) * sig |
1411 |
|
|
& + (1. - stable(i)) * min(sig,epsilon) |
1412 |
|
|
end do |
1413 |
|
|
|
1414 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1415 |
|
|
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1416 |
|
|
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1417 |
|
|
#endif |
1418 |
|
|
CADJ STORE sigma = comlev1_kpp, key=ikppkey, kind=isbyte |
1419 |
|
|
call wscale ( |
1420 |
|
|
I sigma, hbl, ustar, bfsfc, |
1421 |
|
|
O wm, ws, myThid ) |
1422 |
|
|
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1423 |
|
|
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1424 |
|
|
|
1425 |
|
|
do i = 1, imt |
1426 |
|
|
sig = -zgrid(kbl(i)-1) / hbl(i) |
1427 |
|
|
a1 = sig - 2. |
1428 |
|
|
a2 = 3. - 2. * sig |
1429 |
|
|
a3 = sig - 1. |
1430 |
|
|
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1431 |
|
|
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1432 |
|
|
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1433 |
|
|
dkm1(i,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1434 |
|
|
dkm1(i,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1435 |
|
|
dkm1(i,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1436 |
|
|
end do |
1437 |
|
|
|
1438 |
|
|
#endif /* ALLOW_KPP */ |
1439 |
|
|
|
1440 |
|
|
return |
1441 |
|
|
end |
1442 |
|
|
|
1443 |
|
|
c************************************************************************* |
1444 |
|
|
|
1445 |
|
|
subroutine enhance ( |
1446 |
|
|
I dkm1, hbl, kbl, diffus, casea |
1447 |
|
|
U , ghat |
1448 |
|
|
O , blmc |
1449 |
|
|
& , myThid ) |
1450 |
|
|
|
1451 |
|
|
c enhance the diffusivity at the kbl-.5 interface |
1452 |
|
|
|
1453 |
|
|
IMPLICIT NONE |
1454 |
|
|
|
1455 |
|
|
#include "SIZE.h" |
1456 |
|
|
#include "KPP_PARAMS.h" |
1457 |
|
|
|
1458 |
|
|
c input |
1459 |
|
|
c dkm1(imt,mdiff) bl diffusivity at kbl-1 grid level |
1460 |
|
|
c hbl(imt) boundary layer depth (m) |
1461 |
|
|
c kbl(imt) grid above hbl |
1462 |
|
|
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1463 |
|
|
c casea(imt) = 1 in caseA, = 0 in case B |
1464 |
|
|
c myThid thread number for this instance of the routine |
1465 |
|
|
integer myThid |
1466 |
|
|
_RL dkm1 (imt,mdiff) |
1467 |
|
|
_RL hbl (imt) |
1468 |
|
|
integer kbl (imt) |
1469 |
|
|
_RL diffus(imt,0:Nrp1,mdiff) |
1470 |
|
|
_RL casea (imt) |
1471 |
|
|
|
1472 |
|
|
c input/output |
1473 |
|
|
c nonlocal transport, modified ghat at kbl(i)-1 interface (s/m**2) |
1474 |
|
|
_RL ghat (imt,Nr) |
1475 |
|
|
|
1476 |
|
|
c output |
1477 |
|
|
c enhanced bound. layer mixing coeff. |
1478 |
|
|
_RL blmc (imt,Nr,mdiff) |
1479 |
|
|
|
1480 |
|
|
#ifdef ALLOW_KPP |
1481 |
|
|
|
1482 |
|
|
c local |
1483 |
|
|
c fraction hbl lies beteen zgrid neighbors |
1484 |
|
|
_RL delta |
1485 |
|
|
integer ki, i, md |
1486 |
|
|
_RL dkmp5, dstar |
1487 |
|
|
|
1488 |
|
|
do i = 1, imt |
1489 |
|
|
ki = kbl(i)-1 |
1490 |
|
|
if ((ki .ge. 1) .and. (ki .lt. Nr)) then |
1491 |
|
|
delta = (hbl(i) + zgrid(ki)) / (zgrid(ki) - zgrid(ki+1)) |
1492 |
|
|
do md = 1, mdiff |
1493 |
|
|
dkmp5 = casea(i) * diffus(i,ki,md) + |
1494 |
|
|
1 (1.- casea(i)) * blmc (i,ki,md) |
1495 |
|
|
dstar = (1.- delta)**2 * dkm1(i,md) |
1496 |
|
|
& + delta**2 * dkmp5 |
1497 |
|
|
blmc(i,ki,md) = (1.- delta)*diffus(i,ki,md) |
1498 |
|
|
& + delta*dstar |
1499 |
|
|
end do |
1500 |
|
|
ghat(i,ki) = (1.- casea(i)) * ghat(i,ki) |
1501 |
|
|
endif |
1502 |
|
|
end do |
1503 |
|
|
|
1504 |
|
|
#endif /* ALLOW_KPP */ |
1505 |
|
|
|
1506 |
|
|
return |
1507 |
|
|
end |
1508 |
|
|
|
1509 |
|
|
c************************************************************************* |
1510 |
|
|
|
1511 |
|
|
SUBROUTINE STATEKPP ( |
1512 |
|
|
O RHO1, DBLOC, DBSFC, TTALPHA, SSBETA, |
1513 |
|
|
I ikppkey, bi, bj, myThid ) |
1514 |
|
|
c |
1515 |
|
|
c----------------------------------------------------------------------- |
1516 |
|
|
c "statekpp" computes all necessary input arrays |
1517 |
|
|
c for the kpp mixing scheme |
1518 |
|
|
c |
1519 |
|
|
c input: |
1520 |
|
|
c bi, bj = array indices on which to apply calculations |
1521 |
|
|
c |
1522 |
|
|
c output: |
1523 |
|
|
c rho1 = potential density of surface layer (kg/m^3) |
1524 |
|
|
c dbloc = local buoyancy gradient at Nr interfaces |
1525 |
|
|
c g/rho{k+1,k+1} * [ drho{k,k+1}-drho{k+1,k+1} ] (m/s^2) |
1526 |
|
|
c dbsfc = buoyancy difference with respect to the surface |
1527 |
|
|
c g * [ drho{1,k}/rho{1,k} - drho{k,k}/rho{k,k} ] (m/s^2) |
1528 |
|
|
c ttalpha= thermal expansion coefficient without 1/rho factor |
1529 |
|
|
c d(rho) / d(potential temperature) (kg/m^3/C) |
1530 |
|
|
c ssbeta = salt expansion coefficient without 1/rho factor |
1531 |
|
|
c d(rho) / d(salinity) (kg/m^3/PSU) |
1532 |
|
|
c |
1533 |
|
|
c see also subroutines find_rho.F find_alpha.F find_beta.F |
1534 |
|
|
c |
1535 |
|
|
c written by: jan morzel, feb. 10, 1995 (converted from "sigma" version) |
1536 |
|
|
c modified by: d. menemenlis, june 1998 : for use with MIT GCM UV |
1537 |
|
|
c |
1538 |
|
|
|
1539 |
|
|
c----------------------------------------------------------------------- |
1540 |
|
|
|
1541 |
|
|
IMPLICIT NONE |
1542 |
|
|
|
1543 |
|
|
#include "SIZE.h" |
1544 |
|
|
#include "EEPARAMS.h" |
1545 |
|
|
#include "PARAMS.h" |
1546 |
|
|
#include "KPP_PARAMS.h" |
1547 |
|
|
#include "DYNVARS.h" |
1548 |
|
|
#include "GRID.h" |
1549 |
|
|
#ifdef ALLOW_AUTODIFF |
1550 |
|
|
# include "tamc.h" |
1551 |
|
|
#endif |
1552 |
|
|
|
1553 |
|
|
c-------------- Routine arguments ----------------------------------------- |
1554 |
|
|
INTEGER bi, bj, myThid |
1555 |
|
|
_RL RHO1 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1556 |
|
|
_RL DBLOC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1557 |
|
|
_RL DBSFC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1558 |
|
|
_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1559 |
|
|
_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1560 |
|
|
|
1561 |
|
|
#ifdef ALLOW_KPP |
1562 |
|
|
|
1563 |
|
|
c-------------------------------------------------------------------------- |
1564 |
|
|
c |
1565 |
|
|
c local arrays: |
1566 |
|
|
c |
1567 |
|
|
c rhok - density of t(k ) & s(k ) at depth k |
1568 |
|
|
c rhokm1 - density of t(k-1) & s(k-1) at depth k |
1569 |
|
|
c rho1k - density of t(1 ) & s(1 ) at depth k |
1570 |
|
|
c work1,2,3 - work arrays for holding horizontal slabs |
1571 |
|
|
|
1572 |
|
|
_RL RHOK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1573 |
|
|
_RL RHOKM1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1574 |
|
|
_RL RHO1K (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1575 |
|
|
_RL WORK1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1576 |
|
|
_RL WORK2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1577 |
|
|
_RL WORK3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1578 |
|
|
|
1579 |
|
|
INTEGER I, J, K |
1580 |
|
|
INTEGER ikppkey, kkppkey |
1581 |
|
|
|
1582 |
|
|
c calculate density, alpha, beta in surface layer, and set dbsfc to zero |
1583 |
|
|
|
1584 |
|
|
kkppkey = (ikppkey-1)*Nr + 1 |
1585 |
|
|
|
1586 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1587 |
|
|
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1588 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1589 |
|
|
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1590 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1591 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1592 |
|
|
CALL FIND_RHO_2D( |
1593 |
|
|
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, |
1594 |
|
|
I theta(1-OLx,1-OLy,1,bi,bj), salt(1-OLx,1-OLy,1,bi,bj), |
1595 |
|
|
O WORK1, |
1596 |
|
|
I 1, bi, bj, myThid ) |
1597 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1598 |
|
|
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1599 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1600 |
|
|
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1601 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1602 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1603 |
|
|
|
1604 |
|
|
call FIND_ALPHA( |
1605 |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1606 |
|
|
O WORK2, myThid ) |
1607 |
|
|
|
1608 |
|
|
call FIND_BETA( |
1609 |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1610 |
|
|
O WORK3, myThid ) |
1611 |
|
|
|
1612 |
|
|
DO J = 1-OLy, sNy+OLy |
1613 |
|
|
DO I = 1-OLx, sNx+OLx |
1614 |
|
|
RHO1(I,J) = WORK1(I,J) + rhoConst |
1615 |
|
|
TTALPHA(I,J,1) = WORK2(I,J) |
1616 |
|
|
SSBETA(I,J,1) = WORK3(I,J) |
1617 |
|
|
DBSFC(I,J,1) = 0. |
1618 |
|
|
END DO |
1619 |
|
|
END DO |
1620 |
|
|
|
1621 |
|
|
c calculate alpha, beta, and gradients in interior layers |
1622 |
|
|
|
1623 |
|
|
CHPF$ INDEPENDENT, NEW (RHOK,RHOKM1,RHO1K,WORK1,WORK2) |
1624 |
|
|
DO K = 2, Nr |
1625 |
|
|
|
1626 |
|
|
kkppkey = (ikppkey-1)*Nr + k |
1627 |
|
|
|
1628 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1629 |
|
|
CADJ STORE theta(:,:,k,bi,bj) = comlev1_kpp_k, |
1630 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1631 |
|
|
CADJ STORE salt (:,:,k,bi,bj) = comlev1_kpp_k, |
1632 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1633 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1634 |
|
|
CALL FIND_RHO_2D( |
1635 |
|
|
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1636 |
|
|
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
1637 |
|
|
O RHOK, |
1638 |
|
|
I k, bi, bj, myThid ) |
1639 |
|
|
|
1640 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1641 |
|
|
CADJ STORE theta(:,:,k-1,bi,bj) = comlev1_kpp_k, |
1642 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1643 |
|
|
CADJ STORE salt (:,:,k-1,bi,bj) = comlev1_kpp_k, |
1644 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1645 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1646 |
|
|
CALL FIND_RHO_2D( |
1647 |
|
|
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1648 |
|
|
I theta(1-OLx,1-OLy,k-1,bi,bj),salt(1-OLx,1-OLy,k-1,bi,bj), |
1649 |
|
|
O RHOKM1, |
1650 |
|
|
I k-1, bi, bj, myThid ) |
1651 |
|
|
|
1652 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1653 |
|
|
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1654 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1655 |
|
|
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1656 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1657 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1658 |
|
|
CALL FIND_RHO_2D( |
1659 |
|
|
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1660 |
|
|
I theta(1-OLx,1-OLy,1,bi,bj), salt(1-OLx,1-OLy,1,bi,bj), |
1661 |
|
|
O RHO1K, |
1662 |
|
|
I 1, bi, bj, myThid ) |
1663 |
|
|
|
1664 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1665 |
|
|
CADJ STORE rhok (:,:) = comlev1_kpp_k, |
1666 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1667 |
|
|
CADJ STORE rhokm1(:,:) = comlev1_kpp_k, |
1668 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1669 |
|
|
CADJ STORE rho1k (:,:) = comlev1_kpp_k, |
1670 |
|
|
CADJ & key=kkppkey, kind=isbyte |
1671 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1672 |
|
|
|
1673 |
|
|
call FIND_ALPHA( |
1674 |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1675 |
|
|
O WORK1, myThid ) |
1676 |
|
|
|
1677 |
|
|
call FIND_BETA( |
1678 |
|
|
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1679 |
|
|
O WORK2, myThid ) |
1680 |
|
|
|
1681 |
|
|
DO J = 1-OLy, sNy+OLy |
1682 |
|
|
DO I = 1-OLx, sNx+OLx |
1683 |
|
|
TTALPHA(I,J,K) = WORK1 (I,J) |
1684 |
|
|
SSBETA(I,J,K) = WORK2 (I,J) |
1685 |
|
|
DBLOC(I,J,K-1) = gravity * (RHOK(I,J) - RHOKM1(I,J)) / |
1686 |
|
|
& (RHOK(I,J) + rhoConst) |
1687 |
|
|
DBSFC(I,J,K) = gravity * (RHOK(I,J) - RHO1K (I,J)) / |
1688 |
|
|
& (RHOK(I,J) + rhoConst) |
1689 |
|
|
END DO |
1690 |
|
|
END DO |
1691 |
|
|
|
1692 |
|
|
END DO |
1693 |
|
|
|
1694 |
|
|
c compute arrays for K = Nrp1 |
1695 |
|
|
DO J = 1-OLy, sNy+OLy |
1696 |
|
|
DO I = 1-OLx, sNx+OLx |
1697 |
|
|
TTALPHA(I,J,Nrp1) = TTALPHA(I,J,Nr) |
1698 |
|
|
SSBETA(I,J,Nrp1) = SSBETA(I,J,Nr) |
1699 |
|
|
DBLOC(I,J,Nr) = 0. |
1700 |
|
|
END DO |
1701 |
|
|
END DO |
1702 |
|
|
|
1703 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
1704 |
|
|
IF ( useDiagnostics ) THEN |
1705 |
|
|
CALL DIAGNOSTICS_FILL(DBSFC ,'KPPdbsfc',0,Nr,2,bi,bj,myThid) |
1706 |
|
|
CALL DIAGNOSTICS_FILL(DBLOC ,'KPPdbloc',0,Nr,2,bi,bj,myThid) |
1707 |
|
|
ENDIF |
1708 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
1709 |
|
|
|
1710 |
|
|
#endif /* ALLOW_KPP */ |
1711 |
|
|
|
1712 |
|
|
RETURN |
1713 |
|
|
END |
1714 |
|
|
|
1715 |
|
|
c************************************************************************* |
1716 |
|
|
|
1717 |
|
|
SUBROUTINE KPP_DOUBLEDIFF ( |
1718 |
|
|
I TTALPHA, SSBETA, |
1719 |
|
|
U kappaRT, |
1720 |
|
|
U kappaRS, |
1721 |
|
|
I ikppkey, imin, imax, jmin, jmax, bi, bj, myThid ) |
1722 |
|
|
c |
1723 |
|
|
c----------------------------------------------------------------------- |
1724 |
|
|
c "KPP_DOUBLEDIFF" adds the double diffusive contributions |
1725 |
|
|
C as Rrho-dependent parameterizations to kappaRT and kappaRS |
1726 |
|
|
c |
1727 |
|
|
c input: |
1728 |
|
|
c bi, bj = array indices on which to apply calculations |
1729 |
|
|
c imin, imax, jmin, jmax = array boundaries |
1730 |
|
|
c ikppkey = key for TAMC/TAF automatic differentiation |
1731 |
|
|
c myThid = thread id |
1732 |
|
|
c |
1733 |
|
|
c ttalpha= thermal expansion coefficient without 1/rho factor |
1734 |
|
|
c d(rho) / d(potential temperature) (kg/m^3/C) |
1735 |
|
|
c ssbeta = salt expansion coefficient without 1/rho factor |
1736 |
|
|
c d(rho) / d(salinity) (kg/m^3/PSU) |
1737 |
|
|
c output: updated |
1738 |
|
|
c kappaRT/S :: background diffusivities for temperature and salinity |
1739 |
|
|
c |
1740 |
|
|
c written by: martin losch, sept. 15, 2009 |
1741 |
|
|
c |
1742 |
|
|
|
1743 |
|
|
c----------------------------------------------------------------------- |
1744 |
|
|
|
1745 |
|
|
IMPLICIT NONE |
1746 |
|
|
|
1747 |
|
|
#include "SIZE.h" |
1748 |
|
|
#include "EEPARAMS.h" |
1749 |
|
|
#include "PARAMS.h" |
1750 |
|
|
#include "KPP_PARAMS.h" |
1751 |
|
|
#include "DYNVARS.h" |
1752 |
|
|
#include "GRID.h" |
1753 |
|
|
#ifdef ALLOW_AUTODIFF |
1754 |
|
|
# include "tamc.h" |
1755 |
|
|
#endif |
1756 |
|
|
|
1757 |
|
|
c-------------- Routine arguments ----------------------------------------- |
1758 |
|
|
INTEGER ikppkey, imin, imax, jmin, jmax, bi, bj, myThid |
1759 |
|
|
|
1760 |
|
|
_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1761 |
|
|
_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1762 |
|
|
_RL KappaRT( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1763 |
|
|
_RL KappaRS( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1764 |
|
|
|
1765 |
|
|
#ifdef ALLOW_KPP |
1766 |
|
|
|
1767 |
|
|
C-------------------------------------------------------------------------- |
1768 |
|
|
C |
1769 |
|
|
C local variables |
1770 |
|
|
C I,J,K :: loop indices |
1771 |
|
|
C kkppkey :: key for TAMC/TAF automatic differentiation |
1772 |
|
|
C |
1773 |
|
|
INTEGER I, J, K |
1774 |
|
|
INTEGER kkppkey |
1775 |
|
|
C alphaDT :: d\rho/d\theta * d\theta |
1776 |
|
|
C betaDS :: d\rho/dsalt * dsalt |
1777 |
|
|
C Rrho :: "density ratio" R_{\rho} = \alpha dT/dz / \beta dS/dz |
1778 |
|
|
C nuddt/s :: double diffusive diffusivities |
1779 |
|
|
C numol :: molecular diffusivity |
1780 |
|
|
C rFac :: abbreviation for 1/(R_{\rho0}-1) |
1781 |
|
|
|
1782 |
|
|
_RL alphaDT ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1783 |
|
|
_RL betaDS ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1784 |
|
|
_RL nuddt ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1785 |
|
|
_RL nudds ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1786 |
|
|
_RL Rrho |
1787 |
|
|
_RL numol, rFac, nutmp |
1788 |
|
|
INTEGER Km1 |
1789 |
|
|
|
1790 |
|
|
C set some constants here |
1791 |
|
|
numol = 1.5 _d -06 |
1792 |
|
|
rFac = 1. _d 0 / (Rrho0 - 1. _d 0 ) |
1793 |
|
|
C |
1794 |
|
|
kkppkey = (ikppkey-1)*Nr + 1 |
1795 |
|
|
|
1796 |
|
|
CML#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1797 |
|
|
CMLCADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1798 |
|
|
CMLCADJ & key=kkppkey, kind=isbyte |
1799 |
|
|
CMLCADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1800 |
|
|
CMLCADJ & key=kkppkey, kind=isbyte |
1801 |
|
|
CML#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1802 |
|
|
|
1803 |
|
|
DO K = 1, Nr |
1804 |
|
|
Km1 = MAX(K-1,1) |
1805 |
|
|
DO J = 1-OLy, sNy+OLy |
1806 |
|
|
DO I = 1-OLx, sNx+OLx |
1807 |
|
|
alphaDT(I,J) = ( theta(I,J,Km1,bi,bj)-theta(I,J,K,bi,bj) ) |
1808 |
|
|
& * 0.5 _d 0 * ABS( TTALPHA(I,J,Km1) + TTALPHA(I,J,K) ) |
1809 |
|
|
betaDS(I,J) = ( salt(I,J,Km1,bi,bj)-salt(I,J,K,bi,bj) ) |
1810 |
|
|
& * 0.5 _d 0 * ( SSBETA(I,J,Km1) + SSBETA(I,J,K) ) |
1811 |
|
|
nuddt(I,J) = 0. _d 0 |
1812 |
|
|
nudds(I,J) = 0. _d 0 |
1813 |
|
|
ENDDO |
1814 |
|
|
ENDDO |
1815 |
|
|
IF ( K .GT. 1 ) THEN |
1816 |
|
|
DO J = jMin, jMax |
1817 |
|
|
DO I = iMin, iMax |
1818 |
|
|
Rrho = 0. _d 0 |
1819 |
|
|
C Now we have many different cases |
1820 |
|
|
C a. alphaDT > 0 and betaDS > 0 => salt fingering |
1821 |
|
|
C (salinity destabilizes) |
1822 |
|
|
IF ( alphaDT(I,J) .GT. betaDS(I,J) |
1823 |
|
|
& .AND. betaDS(I,J) .GT. 0. _d 0 ) THEN |
1824 |
|
|
Rrho = MIN( alphaDT(I,J)/betaDS(I,J), Rrho0 ) |
1825 |
|
|
C Large et al. 1994, eq. 31a |
1826 |
|
|
C nudds(I,J) = dsfmax * ( 1. _d 0 - (Rrho - 1. _d 0) * rFac )**3 |
1827 |
|
|
nutmp = ( 1. _d 0 - (Rrho - 1. _d 0) * rFac ) |
1828 |
|
|
nudds(I,J) = dsfmax * nutmp * nutmp * nutmp |
1829 |
|
|
C Large et al. 1994, eq. 31c |
1830 |
|
|
nuddt(I,J) = 0.7 _d 0 * nudds(I,J) |
1831 |
|
|
ELSEIF ( alphaDT(I,J) .LT. 0. _d 0 |
1832 |
|
|
& .AND. betaDS(I,J) .LT. 0. _d 0 |
1833 |
|
|
& .AND.alphaDT(I,J) .GT. betaDS(I,J) ) THEN |
1834 |
|
|
C b. alphaDT < 0 and betaDS < 0 => semi-convection, diffusive convection |
1835 |
|
|
C (temperature destabilizes) |
1836 |
|
|
C for Rrho >= 1 the water column is statically unstable and we never |
1837 |
|
|
C reach this point |
1838 |
|
|
Rrho = alphaDT(I,J)/betaDS(I,J) |
1839 |
|
|
C Large et al. 1994, eq. 32 |
1840 |
|
|
nuddt(I,J) = numol * 0.909 _d 0 |
1841 |
|
|
& * exp ( 4.6 _d 0 * exp ( |
1842 |
|
|
& - 5.4 _d 0 * ( 1. _d 0/Rrho - 1. _d 0 ) ) ) |
1843 |
|
|
CMLC or |
1844 |
|
|
CMLC Large et al. 1994, eq. 33 |
1845 |
|
|
CML nuddt(I,J) = numol * 8.7 _d 0 * Rrho**1.1 |
1846 |
|
|
C Large et al. 1994, eqs. 34 |
1847 |
|
|
nudds(I,J) = nuddt(I,J) * MAX( 0.15 _d 0 * Rrho, |
1848 |
|
|
& 1.85 _d 0 * Rrho - 0.85 _d 0 ) |
1849 |
|
|
ELSE |
1850 |
|
|
C Do nothing, because in this case the water colume is unstable |
1851 |
|
|
C => double diffusive processes are negligible and mixing due |
1852 |
|
|
C to shear instability will dominate |
1853 |
|
|
ENDIF |
1854 |
|
|
ENDDO |
1855 |
|
|
ENDDO |
1856 |
|
|
C ENDIF ( K .GT. 1 ) |
1857 |
|
|
ENDIF |
1858 |
|
|
C |
1859 |
|
|
DO J = 1-OLy, sNy+OLy |
1860 |
|
|
DO I = 1-OLx, sNx+OLx |
1861 |
|
|
kappaRT(I,J,K) = kappaRT(I,J,K) + nuddt(I,J) |
1862 |
|
|
kappaRS(I,J,K) = kappaRS(I,J,K) + nudds(I,J) |
1863 |
|
|
ENDDO |
1864 |
|
|
ENDDO |
1865 |
|
|
#ifdef ALLOW_DIAGNOSTICS |
1866 |
|
|
IF ( useDiagnostics ) THEN |
1867 |
|
|
CALL DIAGNOSTICS_FILL(nuddt,'KPPnuddt',k,1,2,bi,bj,myThid) |
1868 |
|
|
CALL DIAGNOSTICS_FILL(nudds,'KPPnudds',k,1,2,bi,bj,myThid) |
1869 |
|
|
ENDIF |
1870 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
1871 |
|
|
C end of K-loop |
1872 |
|
|
ENDDO |
1873 |
|
|
#endif /* ALLOW_KPP */ |
1874 |
|
|
|
1875 |
|
|
RETURN |
1876 |
|
|
END |