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C $Header: /u/gcmpack/MITgcm/pkg/kpp/kpp_routines.F,v 1.53 2014/05/23 20:02:43 jmc Exp $ |
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C $Name: $ |
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|
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#include "KPP_OPTIONS.h" |
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#ifdef ALLOW_AUTODIFF |
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# include "AUTODIFF_OPTIONS.h" |
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#endif |
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#ifdef ALLOW_SALT_PLUME |
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#include "SALT_PLUME_OPTIONS.h" |
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#endif |
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#if (defined ALLOW_AUTODIFF_TAMC) && (defined KPP_AUTODIFF_EXCESSIVE_STORE) |
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# define KPP_AUTODIFF_MORE_STORE |
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#endif |
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|
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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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|
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c*********************************************************************** |
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|
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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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#ifdef SALT_PLUME_SPLIT_BASIN |
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I , lon,lat |
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#endif /* SALT_PLUME_SPLIT_BASIN */ |
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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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|
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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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|
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IMPLICIT NONE |
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|
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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_TAMC |
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# include "tamc.h" |
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#endif |
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|
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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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c boplume(imt,Nrp1)- haline buoyancy forcing (m^2/s^3) |
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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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_RL boplume (imt,Nrp1) |
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_RL SPDepth (imt ) |
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#ifdef SALT_PLUME_SPLIT_BASIN |
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_RL lon (imt ) |
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_RL lat (imt ) |
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#endif /* SALT_PLUME_SPLIT_BASIN */ |
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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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|
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integer ikppkey |
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|
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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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|
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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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|
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#ifdef ALLOW_KPP |
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|
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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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|
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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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|
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integer i, k, md |
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|
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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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|
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cph( |
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cph these storings avoid recomp. of Ri_iwmix |
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#ifdef ALLOW_AUTODIFF_TAMC |
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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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#endif |
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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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|
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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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#ifdef ALLOW_AUTODIFF_TAMC |
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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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#endif |
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cph) |
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|
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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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|
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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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|
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c----------------------------------------------------------------------- |
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c compute boundary layer mixing coefficients: |
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c |
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c diagnose the new boundary layer depth |
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c----------------------------------------------------------------------- |
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|
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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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#ifdef SALT_PLUME_SPLIT_BASIN |
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I , lon,lat |
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#endif /* SALT_PLUME_SPLIT_BASIN */ |
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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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|
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#ifdef ALLOW_AUTODIFF_TAMC |
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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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#endif |
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|
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c----------------------------------------------------------------------- |
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c compute boundary layer diffusivities |
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c----------------------------------------------------------------------- |
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|
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call blmix ( |
231 |
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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#ifdef ALLOW_AUTODIFF_TAMC |
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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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#endif |
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cph) |
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|
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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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|
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call enhance ( |
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I dkm1, hbl, kbl, diffus, casea |
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U , ghat |
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O , blmc |
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I , myThid ) |
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|
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cph( |
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cph avoids recomp. of enhance |
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#ifdef ALLOW_AUTODIFF_TAMC |
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CADJ STORE blmc = comlev1_kpp, key=ikppkey, kind=isbyte |
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#endif |
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cph) |
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|
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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 |
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C mixing coefficients blmc to pure Ri-number based mixing |
272 |
blmc(i,k,1) = max ( blmc(i,k,1)*msk(i), |
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& diffus(i,k,1) ) |
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blmc(i,k,2) = max ( blmc(i,k,2)*msk(i), |
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& diffus(i,k,2) ) |
276 |
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 */ |
279 |
diffus(i,k,1) = max ( blmc(i,k,1), viscArNr(1) ) |
280 |
diffus(i,k,2) = max ( blmc(i,k,2), diffusKzS(i,Nr) ) |
281 |
diffus(i,k,3) = max ( blmc(i,k,3), diffusKzT(i,Nr) ) |
282 |
else |
283 |
ghat(i,k) = 0. _d 0 |
284 |
endif |
285 |
end do |
286 |
end do |
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|
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#endif /* ALLOW_KPP */ |
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|
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return |
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end |
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|
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c************************************************************************* |
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|
295 |
subroutine bldepth ( |
296 |
I kmtj |
297 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol |
298 |
#ifdef ALLOW_SALT_PLUME |
299 |
I , boplume,SPDepth |
300 |
#ifdef SALT_PLUME_SPLIT_BASIN |
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I , lon,lat |
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#endif /* SALT_PLUME_SPLIT_BASIN */ |
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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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|
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c the oceanic planetary boundary layer depth, hbl, is determined as |
310 |
c the shallowest depth where the bulk Richardson number is |
311 |
c equal to the critical value, Ricr. |
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c |
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c bulk Richardson numbers are evaluated by computing velocity and |
314 |
c buoyancy differences between values at zgrid(kl) < 0 and surface |
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c reference values. |
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c in this configuration, the reference values are equal to the |
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c values in the surface layer. |
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c when using a very fine vertical grid, these values should be |
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c computed as the vertical average of velocity and buoyancy from |
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c the surface down to epsilon*zgrid(kl). |
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c |
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c when the bulk Richardson number at k exceeds Ricr, hbl is |
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c linearly interpolated between grid levels zgrid(k) and zgrid(k-1). |
324 |
c |
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c The water column and the surface forcing are diagnosed for |
326 |
c stable/ustable forcing conditions, and where hbl is relative |
327 |
c to grid points (caseA), so that conditional branches can be |
328 |
c avoided in later subroutines. |
329 |
c |
330 |
IMPLICIT NONE |
331 |
|
332 |
#include "SIZE.h" |
333 |
#include "EEPARAMS.h" |
334 |
#include "PARAMS.h" |
335 |
#include "KPP_PARAMS.h" |
336 |
#ifdef ALLOW_AUTODIFF_TAMC |
337 |
# include "tamc.h" |
338 |
#endif |
339 |
|
340 |
c input |
341 |
c------ |
342 |
c bi, bj :: Array indices on which to apply calculations |
343 |
c myTime :: Current time in simulation |
344 |
c myIter :: Current iteration number in simulation |
345 |
c myThid :: My Thread Id. number |
346 |
c kmtj : number of vertical layers |
347 |
c dvsq : (velocity shear re sfc)^2 ((m/s)^2) |
348 |
c dbloc : local delta buoyancy across interfaces (m/s^2) |
349 |
c Ritop : numerator of bulk Richardson Number |
350 |
c =(z-zref)*dbsfc, where dbsfc=delta |
351 |
c buoyancy with respect to surface ((m/s)^2) |
352 |
c ustar : surface friction velocity (m/s) |
353 |
c bo : surface turbulent buoyancy forcing (m^2/s^3) |
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c bosol : radiative buoyancy forcing (m^2/s^3) |
355 |
c boplume : haline buoyancy forcing (m^2/s^3) |
356 |
c coriol : Coriolis parameter (1/s) |
357 |
INTEGER bi, bj |
358 |
_RL myTime |
359 |
integer myIter |
360 |
integer myThid |
361 |
integer kmtj(imt) |
362 |
_RL dvsq (imt,Nr) |
363 |
_RL dbloc (imt,Nr) |
364 |
_RL Ritop (imt,Nr) |
365 |
_RL ustar (imt) |
366 |
_RL bo (imt) |
367 |
_RL bosol (imt) |
368 |
_RL coriol (imt) |
369 |
integer ikppkey |
370 |
#ifdef ALLOW_SALT_PLUME |
371 |
_RL boplume (imt,Nrp1) |
372 |
_RL SPDepth (imt) |
373 |
#ifdef SALT_PLUME_SPLIT_BASIN |
374 |
_RL lon (imt) |
375 |
_RL lat (imt) |
376 |
#endif /* SALT_PLUME_SPLIT_BASIN */ |
377 |
#endif /* ALLOW_SALT_PLUME */ |
378 |
|
379 |
c output |
380 |
c-------- |
381 |
c hbl : boundary layer depth (m) |
382 |
c bfsfc : Bo+radiation absorbed to d=hbf*hbl (m^2/s^3) |
383 |
c stable : =1 in stable forcing; =0 unstable |
384 |
c casea : =1 in case A, =0 in case B |
385 |
c kbl : -1 of first grid level below hbl |
386 |
c Rib : Bulk Richardson number |
387 |
c sigma : normalized depth (d/hbl) |
388 |
_RL hbl (imt) |
389 |
_RL bfsfc (imt) |
390 |
_RL stable (imt) |
391 |
_RL casea (imt) |
392 |
integer kbl(imt) |
393 |
_RL Rib (imt,Nr) |
394 |
_RL sigma (imt) |
395 |
|
396 |
#ifdef ALLOW_KPP |
397 |
|
398 |
c local |
399 |
c------- |
400 |
c wm, ws : turbulent velocity scales (m/s) |
401 |
_RL wm(imt), ws(imt) |
402 |
_RL worka(imt) |
403 |
_RL bvsq, vtsq, hekman, hmonob, hlimit, tempVar1, tempVar2 |
404 |
integer i, kl |
405 |
|
406 |
_RL p5 , eins |
407 |
parameter ( p5=0.5, eins=1.0 ) |
408 |
_RL minusone |
409 |
parameter ( minusone=-1.0 ) |
410 |
#ifdef SALT_PLUME_VOLUME |
411 |
integer km, km1 |
412 |
_RL temp |
413 |
#endif |
414 |
#ifdef ALLOW_AUTODIFF_TAMC |
415 |
integer kkppkey |
416 |
#endif |
417 |
|
418 |
#ifdef ALLOW_DIAGNOSTICS |
419 |
c KPPBFSFC - Bo+radiation absorbed to d=hbf*hbl + plume (m^2/s^3) |
420 |
_RL KPPBFSFC(imt,Nr) |
421 |
_RL KPPRi(imt,Nr) |
422 |
#endif /* ALLOW_DIAGNOSTICS */ |
423 |
|
424 |
c find bulk Richardson number at every grid level until > Ricr |
425 |
c |
426 |
c note: the reference depth is -epsilon/2.*zgrid(k), but the reference |
427 |
c u,v,t,s values are simply the surface layer values, |
428 |
c and not the averaged values from 0 to 2*ref.depth, |
429 |
c which is necessary for very fine grids(top layer < 2m thickness) |
430 |
c note: max values when Ricr never satisfied are |
431 |
c kbl(i)=kmtj(i) and hbl(i)=-zgrid(kmtj(i)) |
432 |
|
433 |
c initialize hbl and kbl to bottomed out values |
434 |
|
435 |
do i = 1, imt |
436 |
Rib(i,1) = 0. _d 0 |
437 |
kbl(i) = max(kmtj(i),1) |
438 |
hbl(i) = -zgrid(kbl(i)) |
439 |
end do |
440 |
|
441 |
#ifdef ALLOW_DIAGNOSTICS |
442 |
do kl = 1, Nr |
443 |
do i = 1, imt |
444 |
KPPBFSFC(i,kl) = 0. _d 0 |
445 |
KPPRi(i,kl) = 0. _d 0 |
446 |
enddo |
447 |
enddo |
448 |
#endif /* ALLOW_DIAGNOSTICS */ |
449 |
|
450 |
do kl = 2, Nr |
451 |
|
452 |
#ifdef ALLOW_AUTODIFF_TAMC |
453 |
kkppkey = (ikppkey-1)*Nr + kl |
454 |
#endif |
455 |
|
456 |
c compute bfsfc = sw fraction at hbf * zgrid |
457 |
|
458 |
do i = 1, imt |
459 |
worka(i) = zgrid(kl) |
460 |
end do |
461 |
#ifdef ALLOW_AUTODIFF_TAMC |
462 |
CADJ store worka = comlev1_kpp_k, key = kkppkey, kind=isbyte |
463 |
#endif |
464 |
call SWFRAC( |
465 |
I imt, hbf, |
466 |
U worka, |
467 |
I myTime, myIter, myThid ) |
468 |
#ifdef ALLOW_AUTODIFF_TAMC |
469 |
CADJ store worka = comlev1_kpp_k, key = kkppkey, kind=isbyte |
470 |
#endif |
471 |
|
472 |
do i = 1, imt |
473 |
|
474 |
c use caseA as temporary array |
475 |
|
476 |
casea(i) = -zgrid(kl) |
477 |
|
478 |
c compute bfsfc= Bo + radiative contribution down to hbf * hbl |
479 |
|
480 |
bfsfc(i) = bo(i) + bosol(i)*(1. - worka(i)) |
481 |
|
482 |
end do |
483 |
#ifdef ALLOW_SALT_PLUME |
484 |
c compute bfsfc = plume fraction at hbf * zgrid |
485 |
IF ( useSALT_PLUME ) THEN |
486 |
#ifndef SALT_PLUME_VOLUME |
487 |
do i = 1, imt |
488 |
worka(i) = zgrid(kl) |
489 |
enddo |
490 |
Ccatn: in original way: accumulate all fractions of boplume above zgrid(kl) |
491 |
call SALT_PLUME_FRAC( |
492 |
I imt, hbf,SPDepth, |
493 |
#ifdef SALT_PLUME_SPLIT_BASIN |
494 |
I lon,lat, |
495 |
#endif /* SALT_PLUME_SPLIT_BASIN */ |
496 |
U worka, |
497 |
I myTime, myIter, myThid) |
498 |
do i = 1, imt |
499 |
bfsfc(i) = bfsfc(i) + boplume(i,1)*(worka(i)) |
500 |
C km=max(1,kbl(i)-1) |
501 |
C temp = (plumefrac(i,km)+plumefrac(i,kbl(i)))/2.0 |
502 |
C bfsfc(i) = bfsfc(i) + boplume(i,1)*temp |
503 |
enddo |
504 |
#else /* def SALT_PLUME_VOLUME */ |
505 |
catn: in vol way: need to integrate down to hbl, so first locate |
506 |
c k level associated with this hbl, then sum up all SPforc[T,S] |
507 |
DO i = 1, imt |
508 |
km =max(1,kbl(i)-1) |
509 |
km1=max(1,kbl(i)) |
510 |
temp = (boplume(i,km)+boplume(i,km1))*p5 |
511 |
bfsfc(i) = bfsfc(i) + temp |
512 |
ENDDO |
513 |
#endif /* ndef SALT_PLUME_VOLUME */ |
514 |
ENDIF |
515 |
#endif /* ALLOW_SALT_PLUME */ |
516 |
|
517 |
#ifdef ALLOW_DIAGNOSTICS |
518 |
do i = 1, imt |
519 |
KPPBFSFC(i,kl) = bfsfc(i) |
520 |
enddo |
521 |
#endif /* ALLOW_DIAGNOSTICS */ |
522 |
|
523 |
do i = 1, imt |
524 |
stable(i) = p5 + sign(p5,bfsfc(i)) |
525 |
sigma(i) = stable(i) + (1. - stable(i)) * epsilon |
526 |
enddo |
527 |
|
528 |
c----------------------------------------------------------------------- |
529 |
c compute velocity scales at sigma, for hbl= caseA = -zgrid(kl) |
530 |
c----------------------------------------------------------------------- |
531 |
|
532 |
call wscale ( |
533 |
I sigma, casea, ustar, bfsfc, |
534 |
O wm, ws, myThid ) |
535 |
#ifdef ALLOW_AUTODIFF_TAMC |
536 |
CADJ store ws = comlev1_kpp_k, key = kkppkey, kind=isbyte |
537 |
#endif |
538 |
|
539 |
do i = 1, imt |
540 |
|
541 |
c----------------------------------------------------------------------- |
542 |
c compute the turbulent shear contribution to Rib |
543 |
c----------------------------------------------------------------------- |
544 |
|
545 |
bvsq = p5 * |
546 |
1 ( dbloc(i,kl-1) / (zgrid(kl-1)-zgrid(kl ))+ |
547 |
2 dbloc(i,kl ) / (zgrid(kl )-zgrid(kl+1))) |
548 |
|
549 |
if (bvsq .eq. 0. _d 0) then |
550 |
vtsq = 0. _d 0 |
551 |
else |
552 |
vtsq = -zgrid(kl) * ws(i) * sqrt(abs(bvsq)) * Vtc |
553 |
endif |
554 |
|
555 |
c compute bulk Richardson number at new level |
556 |
c note: Ritop needs to be zero on land and ocean bottom |
557 |
c points so that the following if statement gets triggered |
558 |
c correctly; otherwise, hbl might get set to (big) negative |
559 |
c values, that might exceed the limit for the "exp" function |
560 |
c in "SWFRAC" |
561 |
|
562 |
c |
563 |
c rg: assignment to double precision variable to avoid overflow |
564 |
c ph: test for zero nominator |
565 |
c |
566 |
|
567 |
tempVar1 = dvsq(i,kl) + vtsq |
568 |
tempVar2 = max(tempVar1, phepsi) |
569 |
Rib(i,kl) = Ritop(i,kl) / tempVar2 |
570 |
#ifdef ALLOW_DIAGNOSTICS |
571 |
KPPRi(i,kl) = Rib(i,kl) |
572 |
#endif |
573 |
|
574 |
end do |
575 |
end do |
576 |
|
577 |
#ifdef ALLOW_DIAGNOSTICS |
578 |
IF ( useDiagnostics ) THEN |
579 |
CALL DIAGNOSTICS_FILL(KPPBFSFC,'KPPbfsfc',0,Nr,2,bi,bj,myThid) |
580 |
CALL DIAGNOSTICS_FILL(KPPRi ,'KPPRi ',0,Nr,2,bi,bj,myThid) |
581 |
ENDIF |
582 |
#endif /* ALLOW_DIAGNOSTICS */ |
583 |
|
584 |
cph( |
585 |
cph without this store, there is a recomputation error for |
586 |
cph rib in adbldepth (probably partial recomputation problem) |
587 |
#ifdef ALLOW_AUTODIFF_TAMC |
588 |
CADJ store Rib = comlev1_kpp |
589 |
CADJ & , key=ikppkey, kind=isbyte, |
590 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy),Nr /) |
591 |
#endif |
592 |
cph) |
593 |
|
594 |
do kl = 2, Nr |
595 |
do i = 1, imt |
596 |
if (kbl(i).eq.kmtj(i) .and. Rib(i,kl).gt.Ricr) kbl(i) = kl |
597 |
end do |
598 |
end do |
599 |
|
600 |
#ifdef ALLOW_AUTODIFF_TAMC |
601 |
CADJ store kbl = comlev1_kpp |
602 |
CADJ & , key=ikppkey, kind=isbyte, |
603 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
604 |
#endif |
605 |
|
606 |
do i = 1, imt |
607 |
kl = kbl(i) |
608 |
c linearly interpolate to find hbl where Rib = Ricr |
609 |
if (kl.gt.1 .and. kl.lt.kmtj(i)) then |
610 |
tempVar1 = (Rib(i,kl)-Rib(i,kl-1)) |
611 |
hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
612 |
1 (Ricr - Rib(i,kl-1)) / tempVar1 |
613 |
endif |
614 |
end do |
615 |
|
616 |
#ifdef ALLOW_AUTODIFF_TAMC |
617 |
CADJ store hbl = comlev1_kpp |
618 |
CADJ & , key=ikppkey, kind=isbyte, |
619 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
620 |
#endif |
621 |
|
622 |
c----------------------------------------------------------------------- |
623 |
c find stability and buoyancy forcing for boundary layer |
624 |
c----------------------------------------------------------------------- |
625 |
|
626 |
do i = 1, imt |
627 |
worka(i) = hbl(i) |
628 |
end do |
629 |
#ifdef ALLOW_AUTODIFF_TAMC |
630 |
CADJ store worka = comlev1_kpp |
631 |
CADJ & , key=ikppkey, kind=isbyte, |
632 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
633 |
#endif |
634 |
call SWFRAC( |
635 |
I imt, minusone, |
636 |
U worka, |
637 |
I myTime, myIter, myThid ) |
638 |
#ifdef ALLOW_AUTODIFF_TAMC |
639 |
CADJ store worka = comlev1_kpp |
640 |
CADJ & , key=ikppkey, kind=isbyte, |
641 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
642 |
#endif |
643 |
|
644 |
do i = 1, imt |
645 |
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
646 |
end do |
647 |
|
648 |
#ifdef ALLOW_SALT_PLUME |
649 |
IF ( useSALT_PLUME ) THEN |
650 |
#ifndef SALT_PLUME_VOLUME |
651 |
do i = 1, imt |
652 |
worka(i) = hbl(i) |
653 |
enddo |
654 |
call SALT_PLUME_FRAC( |
655 |
I imt,minusone,SPDepth, |
656 |
#ifdef SALT_PLUME_SPLIT_BASIN |
657 |
I lon,lat, |
658 |
#endif /* SALT_PLUME_SPLIT_BASIN */ |
659 |
U worka, |
660 |
I myTime, myIter, myThid ) |
661 |
do i = 1, imt |
662 |
bfsfc(i) = bfsfc(i) + boplume(i,1) * (worka(i)) |
663 |
C km=max(1,kbl(i)-1) |
664 |
C temp = (plumefrac(i,km)+plumefrac(i,kbl(i)))/2.0 |
665 |
C bfsfc(i) = bfsfc(i) + boplume(i,1)*temp |
666 |
enddo |
667 |
#else /* def SALT_PLUME_VOLUME */ |
668 |
DO i = 1, imt |
669 |
km =max(1,kbl(i)-1) |
670 |
km1=max(1,kbl(i)) |
671 |
temp = (boplume(i,km)+boplume(i,km1))/2.0 |
672 |
bfsfc(i) = bfsfc(i) + temp |
673 |
ENDDO |
674 |
#endif /* ndef SALT_PLUME_VOLUME */ |
675 |
ENDIF |
676 |
#endif /* ALLOW_SALT_PLUME */ |
677 |
#ifdef ALLOW_AUTODIFF_TAMC |
678 |
CADJ store bfsfc = comlev1_kpp |
679 |
CADJ & , key=ikppkey, kind=isbyte, |
680 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
681 |
#endif |
682 |
|
683 |
c-- ensure bfsfc is never 0 |
684 |
do i = 1, imt |
685 |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
686 |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
687 |
end do |
688 |
|
689 |
cph( |
690 |
cph added stable to store list to avoid extensive recomp. |
691 |
#ifdef ALLOW_AUTODIFF_TAMC |
692 |
CADJ store bfsfc, stable = comlev1_kpp |
693 |
CADJ & , key=ikppkey, kind=isbyte, |
694 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
695 |
#endif |
696 |
cph) |
697 |
|
698 |
c----------------------------------------------------------------------- |
699 |
c check hbl limits for hekman or hmonob |
700 |
c ph: test for zero nominator |
701 |
c----------------------------------------------------------------------- |
702 |
|
703 |
IF ( LimitHblStable ) THEN |
704 |
do i = 1, imt |
705 |
if (bfsfc(i) .gt. 0.0) then |
706 |
hekman = cekman * ustar(i) / max(abs(Coriol(i)),phepsi) |
707 |
hmonob = cmonob * ustar(i)*ustar(i)*ustar(i) |
708 |
& / vonk / bfsfc(i) |
709 |
hlimit = stable(i) * min(hekman,hmonob) |
710 |
& + (stable(i)-1.) * zgrid(Nr) |
711 |
hbl(i) = min(hbl(i),hlimit) |
712 |
end if |
713 |
end do |
714 |
ENDIF |
715 |
|
716 |
#ifdef ALLOW_AUTODIFF_TAMC |
717 |
CADJ store hbl = comlev1_kpp |
718 |
CADJ & , key=ikppkey, kind=isbyte, |
719 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
720 |
#endif |
721 |
|
722 |
do i = 1, imt |
723 |
hbl(i) = max(hbl(i),minKPPhbl) |
724 |
kbl(i) = kmtj(i) |
725 |
end do |
726 |
|
727 |
#ifdef ALLOW_AUTODIFF_TAMC |
728 |
CADJ store hbl = comlev1_kpp |
729 |
CADJ & , key=ikppkey, kind=isbyte, |
730 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
731 |
#endif |
732 |
|
733 |
c----------------------------------------------------------------------- |
734 |
c find new kbl |
735 |
c----------------------------------------------------------------------- |
736 |
|
737 |
do kl = 2, Nr |
738 |
do i = 1, imt |
739 |
if ( kbl(i).eq.kmtj(i) .and. (-zgrid(kl)).gt.hbl(i) ) then |
740 |
kbl(i) = kl |
741 |
endif |
742 |
end do |
743 |
end do |
744 |
|
745 |
c----------------------------------------------------------------------- |
746 |
c find stability and buoyancy forcing for final hbl values |
747 |
c----------------------------------------------------------------------- |
748 |
|
749 |
do i = 1, imt |
750 |
worka(i) = hbl(i) |
751 |
end do |
752 |
#ifdef ALLOW_AUTODIFF_TAMC |
753 |
CADJ store worka = comlev1_kpp |
754 |
CADJ & , key=ikppkey, kind=isbyte, |
755 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
756 |
#endif |
757 |
call SWFRAC( |
758 |
I imt, minusone, |
759 |
U worka, |
760 |
I myTime, myIter, myThid ) |
761 |
#ifdef ALLOW_AUTODIFF_TAMC |
762 |
CADJ store worka = comlev1_kpp |
763 |
CADJ & , key=ikppkey, kind=isbyte, |
764 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
765 |
#endif |
766 |
|
767 |
do i = 1, imt |
768 |
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
769 |
end do |
770 |
|
771 |
#ifdef ALLOW_SALT_PLUME |
772 |
IF ( useSALT_PLUME ) THEN |
773 |
#ifndef SALT_PLUME_VOLUME |
774 |
do i = 1, imt |
775 |
worka(i) = hbl(i) |
776 |
enddo |
777 |
call SALT_PLUME_FRAC( |
778 |
I imt,minusone,SPDepth, |
779 |
#ifdef SALT_PLUME_SPLIT_BASIN |
780 |
I lon,lat, |
781 |
#endif /* SALT_PLUME_SPLIT_BASIN */ |
782 |
U worka, |
783 |
I myTime, myIter, myThid ) |
784 |
do i = 1, imt |
785 |
bfsfc(i) = bfsfc(i) + boplume(i,1) * (worka(i)) |
786 |
C km=max(1,kbl(i)-1) |
787 |
C temp = (plumefrac(i,km)+plumefrac(i,kbl(i)))/2.0 |
788 |
C bfsfc(i) = bfsfc(i) + boplume(i,1)*temp |
789 |
enddo |
790 |
#else /* def SALT_PLUME_VOLUME */ |
791 |
DO i = 1, imt |
792 |
km =max(1,kbl(i)-1) |
793 |
km1=max(1,kbl(i)-0) |
794 |
temp = (boplume(i,km)+boplume(i,km1))/2.0 |
795 |
bfsfc(i) = bfsfc(i) + temp |
796 |
ENDDO |
797 |
#endif /* ndef SALT_PLUME_VOLUME */ |
798 |
ENDIF |
799 |
#endif /* ALLOW_SALT_PLUME */ |
800 |
#ifdef ALLOW_AUTODIFF_TAMC |
801 |
CADJ store bfsfc = comlev1_kpp |
802 |
CADJ & , key=ikppkey, kind=isbyte, |
803 |
CADJ & shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
804 |
#endif |
805 |
|
806 |
c-- ensures bfsfc is never 0 |
807 |
do i = 1, imt |
808 |
stable(i) = p5 + sign( p5, bfsfc(i) ) |
809 |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
810 |
end do |
811 |
|
812 |
c----------------------------------------------------------------------- |
813 |
c determine caseA and caseB |
814 |
c----------------------------------------------------------------------- |
815 |
|
816 |
do i = 1, imt |
817 |
casea(i) = p5 + |
818 |
1 sign(p5, -zgrid(kbl(i)) - p5*hwide(kbl(i)) - hbl(i)) |
819 |
end do |
820 |
|
821 |
#endif /* ALLOW_KPP */ |
822 |
|
823 |
return |
824 |
end |
825 |
|
826 |
c************************************************************************* |
827 |
|
828 |
subroutine wscale ( |
829 |
I sigma, hbl, ustar, bfsfc, |
830 |
O wm, ws, |
831 |
I myThid ) |
832 |
|
833 |
c compute turbulent velocity scales. |
834 |
c use a 2D-lookup table for wm and ws as functions of ustar and |
835 |
c zetahat (=vonk*sigma*hbl*bfsfc). |
836 |
c |
837 |
c note: the lookup table is only used for unstable conditions |
838 |
c (zehat.le.0), in the stable domain wm (=ws) gets computed |
839 |
c directly. |
840 |
c |
841 |
IMPLICIT NONE |
842 |
|
843 |
#include "SIZE.h" |
844 |
#include "KPP_PARAMS.h" |
845 |
|
846 |
c input |
847 |
c------ |
848 |
c sigma : normalized depth (d/hbl) |
849 |
c hbl : boundary layer depth (m) |
850 |
c ustar : surface friction velocity (m/s) |
851 |
c bfsfc : total surface buoyancy flux (m^2/s^3) |
852 |
c myThid : thread number for this instance of the routine |
853 |
integer myThid |
854 |
_RL sigma(imt) |
855 |
_RL hbl (imt) |
856 |
_RL ustar(imt) |
857 |
_RL bfsfc(imt) |
858 |
|
859 |
c output |
860 |
c-------- |
861 |
c wm, ws : turbulent velocity scales at sigma |
862 |
_RL wm(imt), ws(imt) |
863 |
|
864 |
#ifdef ALLOW_KPP |
865 |
|
866 |
c local |
867 |
c------ |
868 |
c zehat : = zeta * ustar**3 |
869 |
_RL zehat |
870 |
|
871 |
integer iz, izp1, ju, i, jup1 |
872 |
_RL udiff, zdiff, zfrac, ufrac, fzfrac, wam |
873 |
_RL wbm, was, wbs, u3, tempVar |
874 |
|
875 |
c----------------------------------------------------------------------- |
876 |
c use lookup table for zehat < zmax only; otherwise use |
877 |
c stable formulae |
878 |
c----------------------------------------------------------------------- |
879 |
|
880 |
do i = 1, imt |
881 |
zehat = vonk*sigma(i)*hbl(i)*bfsfc(i) |
882 |
|
883 |
if (zehat .le. zmax) then |
884 |
|
885 |
zdiff = zehat - zmin |
886 |
iz = int( zdiff / deltaz ) |
887 |
iz = min( iz, nni ) |
888 |
iz = max( iz, 0 ) |
889 |
izp1 = iz + 1 |
890 |
|
891 |
udiff = ustar(i) - umin |
892 |
ju = int( udiff / deltau ) |
893 |
ju = min( ju, nnj ) |
894 |
ju = max( ju, 0 ) |
895 |
jup1 = ju + 1 |
896 |
|
897 |
zfrac = zdiff / deltaz - float(iz) |
898 |
ufrac = udiff / deltau - float(ju) |
899 |
|
900 |
fzfrac= 1. - zfrac |
901 |
wam = fzfrac * wmt(iz,jup1) + zfrac * wmt(izp1,jup1) |
902 |
wbm = fzfrac * wmt(iz,ju ) + zfrac * wmt(izp1,ju ) |
903 |
wm(i) = (1.-ufrac) * wbm + ufrac * wam |
904 |
|
905 |
was = fzfrac * wst(iz,jup1) + zfrac * wst(izp1,jup1) |
906 |
wbs = fzfrac * wst(iz,ju ) + zfrac * wst(izp1,ju ) |
907 |
ws(i) = (1.-ufrac) * wbs + ufrac * was |
908 |
|
909 |
else |
910 |
|
911 |
u3 = ustar(i) * ustar(i) * ustar(i) |
912 |
tempVar = u3 + conc1 * zehat |
913 |
wm(i) = vonk * ustar(i) * u3 / tempVar |
914 |
ws(i) = wm(i) |
915 |
|
916 |
endif |
917 |
|
918 |
end do |
919 |
|
920 |
#endif /* ALLOW_KPP */ |
921 |
|
922 |
return |
923 |
end |
924 |
|
925 |
c************************************************************************* |
926 |
|
927 |
subroutine Ri_iwmix ( |
928 |
I kmtj, shsq, dbloc, dblocSm, |
929 |
I diffusKzS, diffusKzT, |
930 |
I ikppkey, |
931 |
O diffus, |
932 |
I myThid ) |
933 |
|
934 |
c compute interior viscosity diffusivity coefficients due |
935 |
c to shear instability (dependent on a local Richardson number), |
936 |
c to background internal wave activity, and |
937 |
c to static instability (local Richardson number < 0). |
938 |
|
939 |
IMPLICIT NONE |
940 |
|
941 |
#include "SIZE.h" |
942 |
#include "EEPARAMS.h" |
943 |
#include "PARAMS.h" |
944 |
#include "KPP_PARAMS.h" |
945 |
#ifdef ALLOW_AUTODIFF |
946 |
# include "AUTODIFF_PARAMS.h" |
947 |
#endif |
948 |
#ifdef ALLOW_AUTODIFF_TAMC |
949 |
# include "tamc.h" |
950 |
#endif |
951 |
|
952 |
c input |
953 |
c kmtj (imt) number of vertical layers on this row |
954 |
c shsq (imt,Nr) (local velocity shear)^2 ((m/s)^2) |
955 |
c dbloc (imt,Nr) local delta buoyancy (m/s^2) |
956 |
c dblocSm(imt,Nr) horizontally smoothed dbloc (m/s^2) |
957 |
c diffusKzS(imt,Nr)- background vertical diffusivity for scalars (m^2/s) |
958 |
c diffusKzT(imt,Nr)- background vertical diffusivity for theta (m^2/s) |
959 |
c myThid :: My Thread Id. number |
960 |
integer kmtj (imt) |
961 |
_RL shsq (imt,Nr) |
962 |
_RL dbloc (imt,Nr) |
963 |
_RL dblocSm (imt,Nr) |
964 |
_RL diffusKzS(imt,Nr) |
965 |
_RL diffusKzT(imt,Nr) |
966 |
integer ikppkey |
967 |
integer myThid |
968 |
|
969 |
c output |
970 |
c diffus(imt,0:Nrp1,1) vertical viscosivity coefficient (m^2/s) |
971 |
c diffus(imt,0:Nrp1,2) vertical scalar diffusivity (m^2/s) |
972 |
c diffus(imt,0:Nrp1,3) vertical temperature diffusivity (m^2/s) |
973 |
_RL diffus(imt,0:Nrp1,3) |
974 |
|
975 |
#ifdef ALLOW_KPP |
976 |
|
977 |
c local variables |
978 |
c Rig local Richardson number |
979 |
c fRi, fcon function of Rig |
980 |
_RL Rig |
981 |
_RL fRi, fcon |
982 |
_RL ratio |
983 |
integer i, ki, kp1 |
984 |
_RL c1, c0 |
985 |
|
986 |
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
987 |
integer mr |
988 |
CADJ INIT kpp_ri_tape_mr = common, 1 |
989 |
#endif |
990 |
|
991 |
c constants |
992 |
c1 = 1. _d 0 |
993 |
c0 = 0. _d 0 |
994 |
|
995 |
c----------------------------------------------------------------------- |
996 |
c compute interior gradient Ri at all interfaces ki=1,Nr, (not surface) |
997 |
c use diffus(*,*,1) as temporary storage of Ri to be smoothed |
998 |
c use diffus(*,*,2) as temporary storage for Brunt-Vaisala squared |
999 |
c set values at bottom and below to nearest value above bottom |
1000 |
#ifdef ALLOW_AUTODIFF |
1001 |
C break data flow dependence on diffus |
1002 |
diffus(1,1,1) = 0.0 |
1003 |
do ki = 1, Nr |
1004 |
do i = 1, imt |
1005 |
diffus(i,ki,1) = 0. |
1006 |
diffus(i,ki,2) = 0. |
1007 |
diffus(i,ki,3) = 0. |
1008 |
enddo |
1009 |
enddo |
1010 |
#endif |
1011 |
|
1012 |
do ki = 1, Nr |
1013 |
do i = 1, imt |
1014 |
if (kmtj(i) .LE. 1 ) then |
1015 |
diffus(i,ki,1) = 0. |
1016 |
diffus(i,ki,2) = 0. |
1017 |
elseif (ki .GE. kmtj(i)) then |
1018 |
diffus(i,ki,1) = diffus(i,ki-1,1) |
1019 |
diffus(i,ki,2) = diffus(i,ki-1,2) |
1020 |
else |
1021 |
diffus(i,ki,1) = dblocSm(i,ki) * (zgrid(ki)-zgrid(ki+1)) |
1022 |
& / max( Shsq(i,ki), phepsi ) |
1023 |
diffus(i,ki,2) = dbloc(i,ki) / (zgrid(ki)-zgrid(ki+1)) |
1024 |
endif |
1025 |
end do |
1026 |
end do |
1027 |
#ifdef ALLOW_AUTODIFF_TAMC |
1028 |
CADJ store diffus = comlev1_kpp, key=ikppkey, kind=isbyte |
1029 |
#endif |
1030 |
|
1031 |
c----------------------------------------------------------------------- |
1032 |
c vertically smooth Ri |
1033 |
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
1034 |
do mr = 1, num_v_smooth_Ri |
1035 |
|
1036 |
#ifdef ALLOW_AUTODIFF_TAMC |
1037 |
CADJ store diffus(:,:,1) = kpp_ri_tape_mr |
1038 |
CADJ & , key=mr, shape=(/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2 /) |
1039 |
#endif |
1040 |
|
1041 |
call z121 ( |
1042 |
U diffus(1,0,1), |
1043 |
I myThid ) |
1044 |
end do |
1045 |
#endif |
1046 |
|
1047 |
c----------------------------------------------------------------------- |
1048 |
c after smoothing loop |
1049 |
|
1050 |
do ki = 1, Nr |
1051 |
do i = 1, imt |
1052 |
|
1053 |
c evaluate f of Brunt-Vaisala squared for convection, store in fcon |
1054 |
|
1055 |
Rig = max ( diffus(i,ki,2) , BVSQcon ) |
1056 |
ratio = min ( (BVSQcon - Rig) / BVSQcon, c1 ) |
1057 |
fcon = c1 - ratio * ratio |
1058 |
fcon = fcon * fcon * fcon |
1059 |
|
1060 |
c evaluate f of smooth Ri for shear instability, store in fRi |
1061 |
|
1062 |
Rig = max ( diffus(i,ki,1), c0 ) |
1063 |
ratio = min ( Rig / Riinfty , c1 ) |
1064 |
fRi = c1 - ratio * ratio |
1065 |
fRi = fRi * fRi * fRi |
1066 |
|
1067 |
c ---------------------------------------------------------------------- |
1068 |
c evaluate diffusivities and viscosity |
1069 |
c mixing due to internal waves, and shear and static instability |
1070 |
|
1071 |
kp1 = MIN(ki+1,Nr) |
1072 |
#ifdef EXCLUDE_KPP_SHEAR_MIX |
1073 |
diffus(i,ki,1) = viscArNr(1) |
1074 |
diffus(i,ki,2) = diffusKzS(i,kp1) |
1075 |
diffus(i,ki,3) = diffusKzT(i,kp1) |
1076 |
#else /* EXCLUDE_KPP_SHEAR_MIX */ |
1077 |
# ifdef ALLOW_AUTODIFF |
1078 |
if ( inAdMode ) then |
1079 |
diffus(i,ki,1) = viscArNr(1) |
1080 |
diffus(i,ki,2) = diffusKzS(i,kp1) |
1081 |
diffus(i,ki,3) = diffusKzT(i,kp1) |
1082 |
else |
1083 |
# else /* ALLOW_AUTODIFF */ |
1084 |
if ( .TRUE. ) then |
1085 |
# endif /* ALLOW_AUTODIFF */ |
1086 |
diffus(i,ki,1) = viscArNr(1) + fcon*difmcon + fRi*difm0 |
1087 |
diffus(i,ki,2) = diffusKzS(i,kp1)+fcon*difscon+fRi*difs0 |
1088 |
diffus(i,ki,3) = diffusKzT(i,kp1)+fcon*diftcon+fRi*dift0 |
1089 |
endif |
1090 |
#endif /* EXCLUDE_KPP_SHEAR_MIX */ |
1091 |
end do |
1092 |
end do |
1093 |
|
1094 |
c ------------------------------------------------------------------------ |
1095 |
c set surface values to 0.0 |
1096 |
|
1097 |
do i = 1, imt |
1098 |
diffus(i,0,1) = c0 |
1099 |
diffus(i,0,2) = c0 |
1100 |
diffus(i,0,3) = c0 |
1101 |
end do |
1102 |
|
1103 |
#endif /* ALLOW_KPP */ |
1104 |
|
1105 |
return |
1106 |
end |
1107 |
|
1108 |
c************************************************************************* |
1109 |
|
1110 |
subroutine z121 ( |
1111 |
U v, |
1112 |
I myThid ) |
1113 |
|
1114 |
c Apply 121 smoothing in k to 2-d array V(i,k=1,Nr) |
1115 |
c top (0) value is used as a dummy |
1116 |
c bottom (Nrp1) value is set to input value from above. |
1117 |
|
1118 |
c Note that it is important to exclude from the smoothing any points |
1119 |
c that are outside the range of the K(Ri) scheme, ie. >0.8, or <0.0. |
1120 |
c Otherwise, there is interference with other physics, especially |
1121 |
c penetrative convection. |
1122 |
|
1123 |
IMPLICIT NONE |
1124 |
#include "SIZE.h" |
1125 |
#include "KPP_PARAMS.h" |
1126 |
|
1127 |
c input/output |
1128 |
c------------- |
1129 |
c v : 2-D array to be smoothed in Nrp1 direction |
1130 |
c myThid: thread number for this instance of the routine |
1131 |
integer myThid |
1132 |
_RL v(imt,0:Nrp1) |
1133 |
|
1134 |
#ifdef ALLOW_KPP |
1135 |
|
1136 |
c local |
1137 |
_RL zwork, zflag |
1138 |
_RL KRi_range(1:Nrp1) |
1139 |
integer i, k, km1, kp1 |
1140 |
|
1141 |
_RL p0 , p25 , p5 , p2 |
1142 |
parameter ( p0 = 0.0, p25 = 0.25, p5 = 0.5, p2 = 2.0 ) |
1143 |
|
1144 |
KRi_range(Nrp1) = p0 |
1145 |
|
1146 |
#ifdef ALLOW_AUTODIFF_TAMC |
1147 |
C-- dummy assignment to end declaration part for TAMC |
1148 |
i = 0 |
1149 |
C-- HPF directive to help TAMC |
1150 |
CHPF$ INDEPENDENT |
1151 |
CADJ INIT z121tape = common, Nr |
1152 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
1153 |
|
1154 |
do i = 1, imt |
1155 |
|
1156 |
k = 1 |
1157 |
#ifdef ALLOW_AUTODIFF_TAMC |
1158 |
CADJ STORE v(i,k) = z121tape |
1159 |
#endif |
1160 |
v(i,Nrp1) = v(i,Nr) |
1161 |
|
1162 |
do k = 1, Nr |
1163 |
KRi_range(k) = p5 + SIGN(p5,v(i,k)) |
1164 |
KRi_range(k) = KRi_range(k) * |
1165 |
& ( p5 + SIGN(p5,(Riinfty-v(i,k))) ) |
1166 |
end do |
1167 |
|
1168 |
zwork = KRi_range(1) * v(i,1) |
1169 |
v(i,1) = p2 * v(i,1) + |
1170 |
& KRi_range(1) * KRi_range(2) * v(i,2) |
1171 |
zflag = p2 + KRi_range(1) * KRi_range(2) |
1172 |
v(i,1) = v(i,1) / zflag |
1173 |
|
1174 |
do k = 2, Nr |
1175 |
#ifdef ALLOW_AUTODIFF_TAMC |
1176 |
CADJ STORE v(i,k), zwork = z121tape |
1177 |
#endif |
1178 |
km1 = k - 1 |
1179 |
kp1 = k + 1 |
1180 |
zflag = v(i,k) |
1181 |
v(i,k) = p2 * v(i,k) + |
1182 |
& KRi_range(k) * KRi_range(kp1) * v(i,kp1) + |
1183 |
& KRi_range(k) * zwork |
1184 |
zwork = KRi_range(k) * zflag |
1185 |
zflag = p2 + KRi_range(k)*(KRi_range(kp1)+KRi_range(km1)) |
1186 |
v(i,k) = v(i,k) / zflag |
1187 |
end do |
1188 |
|
1189 |
end do |
1190 |
|
1191 |
#endif /* ALLOW_KPP */ |
1192 |
|
1193 |
return |
1194 |
end |
1195 |
|
1196 |
c************************************************************************* |
1197 |
|
1198 |
subroutine smooth_horiz ( |
1199 |
I k, bi, bj, |
1200 |
U fld, |
1201 |
I myThid ) |
1202 |
|
1203 |
c Apply horizontal smoothing to global _RL 2-D array |
1204 |
|
1205 |
IMPLICIT NONE |
1206 |
#include "SIZE.h" |
1207 |
#include "GRID.h" |
1208 |
#include "KPP_PARAMS.h" |
1209 |
|
1210 |
c input |
1211 |
c bi, bj : array indices |
1212 |
c k : vertical index used for masking |
1213 |
c myThid : thread number for this instance of the routine |
1214 |
INTEGER myThid |
1215 |
integer k, bi, bj |
1216 |
|
1217 |
c input/output |
1218 |
c fld : 2-D array to be smoothed |
1219 |
_RL fld( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1220 |
|
1221 |
#ifdef ALLOW_KPP |
1222 |
|
1223 |
c local |
1224 |
integer i, j, im1, ip1, jm1, jp1 |
1225 |
_RL tempVar |
1226 |
_RL fld_tmp( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1227 |
|
1228 |
integer imin , imax , jmin , jmax |
1229 |
parameter(imin=2-OLx, imax=sNx+OLx-1, jmin=2-OLy, jmax=sNy+OLy-1) |
1230 |
|
1231 |
_RL p0 , p5 , p25 , p125 , p0625 |
1232 |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
1233 |
|
1234 |
DO j = jmin, jmax |
1235 |
jm1 = j-1 |
1236 |
jp1 = j+1 |
1237 |
DO i = imin, imax |
1238 |
im1 = i-1 |
1239 |
ip1 = i+1 |
1240 |
tempVar = |
1241 |
& p25 * maskC(i ,j ,k,bi,bj) + |
1242 |
& p125 * ( maskC(im1,j ,k,bi,bj) + |
1243 |
& maskC(ip1,j ,k,bi,bj) + |
1244 |
& maskC(i ,jm1,k,bi,bj) + |
1245 |
& maskC(i ,jp1,k,bi,bj) ) + |
1246 |
& p0625 * ( maskC(im1,jm1,k,bi,bj) + |
1247 |
& maskC(im1,jp1,k,bi,bj) + |
1248 |
& maskC(ip1,jm1,k,bi,bj) + |
1249 |
& maskC(ip1,jp1,k,bi,bj) ) |
1250 |
IF ( tempVar .GE. p25 ) THEN |
1251 |
fld_tmp(i,j) = ( |
1252 |
& p25 * fld(i ,j )*maskC(i ,j ,k,bi,bj) + |
1253 |
& p125 *(fld(im1,j )*maskC(im1,j ,k,bi,bj) + |
1254 |
& fld(ip1,j )*maskC(ip1,j ,k,bi,bj) + |
1255 |
& fld(i ,jm1)*maskC(i ,jm1,k,bi,bj) + |
1256 |
& fld(i ,jp1)*maskC(i ,jp1,k,bi,bj))+ |
1257 |
& p0625*(fld(im1,jm1)*maskC(im1,jm1,k,bi,bj) + |
1258 |
& fld(im1,jp1)*maskC(im1,jp1,k,bi,bj) + |
1259 |
& fld(ip1,jm1)*maskC(ip1,jm1,k,bi,bj) + |
1260 |
& fld(ip1,jp1)*maskC(ip1,jp1,k,bi,bj))) |
1261 |
& / tempVar |
1262 |
ELSE |
1263 |
fld_tmp(i,j) = fld(i,j) |
1264 |
ENDIF |
1265 |
ENDDO |
1266 |
ENDDO |
1267 |
|
1268 |
c transfer smoothed field to output array |
1269 |
DO j = jmin, jmax |
1270 |
DO i = imin, imax |
1271 |
fld(i,j) = fld_tmp(i,j) |
1272 |
ENDDO |
1273 |
ENDDO |
1274 |
|
1275 |
#endif /* ALLOW_KPP */ |
1276 |
|
1277 |
return |
1278 |
end |
1279 |
|
1280 |
c************************************************************************* |
1281 |
|
1282 |
subroutine blmix ( |
1283 |
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
1284 |
O , dkm1, blmc, ghat, sigma, ikppkey |
1285 |
I , myThid ) |
1286 |
|
1287 |
c mixing coefficients within boundary layer depend on surface |
1288 |
c forcing and the magnitude and gradient of interior mixing below |
1289 |
c the boundary layer ("matching"). |
1290 |
c |
1291 |
c caution: if mixing bottoms out at hbl = -zgrid(Nr) then |
1292 |
c fictitious layer at Nrp1 is needed with small but finite width |
1293 |
c hwide(Nrp1) (eg. epsln = 1.e-20). |
1294 |
c |
1295 |
IMPLICIT NONE |
1296 |
|
1297 |
#include "SIZE.h" |
1298 |
#include "KPP_PARAMS.h" |
1299 |
#ifdef ALLOW_AUTODIFF_TAMC |
1300 |
# include "tamc.h" |
1301 |
#endif |
1302 |
|
1303 |
c input |
1304 |
c ustar (imt) surface friction velocity (m/s) |
1305 |
c bfsfc (imt) surface buoyancy forcing (m^2/s^3) |
1306 |
c hbl (imt) boundary layer depth (m) |
1307 |
c stable(imt) = 1 in stable forcing |
1308 |
c casea (imt) = 1 in case A |
1309 |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1310 |
c kbl (imt) -1 of first grid level below hbl |
1311 |
c myThid thread number for this instance of the routine |
1312 |
integer myThid |
1313 |
_RL ustar (imt) |
1314 |
_RL bfsfc (imt) |
1315 |
_RL hbl (imt) |
1316 |
_RL stable(imt) |
1317 |
_RL casea (imt) |
1318 |
_RL diffus(imt,0:Nrp1,mdiff) |
1319 |
integer kbl(imt) |
1320 |
|
1321 |
c output |
1322 |
c dkm1 (imt,mdiff) boundary layer difs at kbl-1 level |
1323 |
c blmc (imt,Nr,mdiff) boundary layer mixing coefficients (m^2/s) |
1324 |
c ghat (imt,Nr) nonlocal scalar transport |
1325 |
c sigma(imt) normalized depth (d / hbl) |
1326 |
_RL dkm1 (imt,mdiff) |
1327 |
_RL blmc (imt,Nr,mdiff) |
1328 |
_RL ghat (imt,Nr) |
1329 |
_RL sigma(imt) |
1330 |
integer ikppkey |
1331 |
|
1332 |
#ifdef ALLOW_KPP |
1333 |
|
1334 |
c local |
1335 |
c gat1*(imt) shape function at sigma = 1 |
1336 |
c dat1*(imt) derivative of shape function at sigma = 1 |
1337 |
c ws(imt), wm(imt) turbulent velocity scales (m/s) |
1338 |
_RL gat1m(imt), gat1s(imt), gat1t(imt) |
1339 |
_RL dat1m(imt), dat1s(imt), dat1t(imt) |
1340 |
_RL ws(imt), wm(imt) |
1341 |
integer i, kn, ki |
1342 |
_RL R, dvdzup, dvdzdn, viscp |
1343 |
_RL difsp, diftp, visch, difsh, difth |
1344 |
_RL f1, sig, a1, a2, a3, delhat |
1345 |
_RL Gm, Gs, Gt |
1346 |
_RL tempVar |
1347 |
|
1348 |
_RL p0 , eins |
1349 |
parameter (p0=0.0, eins=1.0) |
1350 |
#ifdef ALLOW_AUTODIFF_TAMC |
1351 |
integer kkppkey |
1352 |
#endif |
1353 |
|
1354 |
c----------------------------------------------------------------------- |
1355 |
c compute velocity scales at hbl |
1356 |
c----------------------------------------------------------------------- |
1357 |
|
1358 |
do i = 1, imt |
1359 |
sigma(i) = stable(i) * 1.0 + (1. - stable(i)) * epsilon |
1360 |
end do |
1361 |
|
1362 |
#ifdef ALLOW_AUTODIFF_TAMC |
1363 |
CADJ STORE sigma = comlev1_kpp, key=ikppkey, kind=isbyte |
1364 |
#endif |
1365 |
call wscale ( |
1366 |
I sigma, hbl, ustar, bfsfc, |
1367 |
O wm, ws, myThid ) |
1368 |
#ifdef ALLOW_AUTODIFF_TAMC |
1369 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1370 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1371 |
#endif |
1372 |
|
1373 |
do i = 1, imt |
1374 |
wm(i) = sign(eins,wm(i))*max(phepsi,abs(wm(i))) |
1375 |
ws(i) = sign(eins,ws(i))*max(phepsi,abs(ws(i))) |
1376 |
end do |
1377 |
#ifdef ALLOW_AUTODIFF_TAMC |
1378 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1379 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1380 |
#endif |
1381 |
|
1382 |
do i = 1, imt |
1383 |
|
1384 |
kn = int(caseA(i)+phepsi) *(kbl(i) -1) + |
1385 |
$ (1 - int(caseA(i)+phepsi)) * kbl(i) |
1386 |
|
1387 |
c----------------------------------------------------------------------- |
1388 |
c find the interior viscosities and derivatives at hbl(i) |
1389 |
c----------------------------------------------------------------------- |
1390 |
|
1391 |
delhat = 0.5*hwide(kn) - zgrid(kn) - hbl(i) |
1392 |
R = 1.0 - delhat / hwide(kn) |
1393 |
dvdzup = (diffus(i,kn-1,1) - diffus(i,kn ,1)) / hwide(kn) |
1394 |
dvdzdn = (diffus(i,kn ,1) - diffus(i,kn+1,1)) / hwide(kn+1) |
1395 |
viscp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1396 |
1 R * (dvdzdn + abs(dvdzdn)) ) |
1397 |
|
1398 |
dvdzup = (diffus(i,kn-1,2) - diffus(i,kn ,2)) / hwide(kn) |
1399 |
dvdzdn = (diffus(i,kn ,2) - diffus(i,kn+1,2)) / hwide(kn+1) |
1400 |
difsp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1401 |
1 R * (dvdzdn + abs(dvdzdn)) ) |
1402 |
|
1403 |
dvdzup = (diffus(i,kn-1,3) - diffus(i,kn ,3)) / hwide(kn) |
1404 |
dvdzdn = (diffus(i,kn ,3) - diffus(i,kn+1,3)) / hwide(kn+1) |
1405 |
diftp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1406 |
1 R * (dvdzdn + abs(dvdzdn)) ) |
1407 |
|
1408 |
visch = diffus(i,kn,1) + viscp * delhat |
1409 |
difsh = diffus(i,kn,2) + difsp * delhat |
1410 |
difth = diffus(i,kn,3) + diftp * delhat |
1411 |
|
1412 |
f1 = stable(i) * conc1 * bfsfc(i) / |
1413 |
& max(ustar(i)**4,phepsi) |
1414 |
gat1m(i) = visch / hbl(i) / wm(i) |
1415 |
dat1m(i) = -viscp / wm(i) + f1 * visch |
1416 |
|
1417 |
gat1s(i) = difsh / hbl(i) / ws(i) |
1418 |
dat1s(i) = -difsp / ws(i) + f1 * difsh |
1419 |
|
1420 |
gat1t(i) = difth / hbl(i) / ws(i) |
1421 |
dat1t(i) = -diftp / ws(i) + f1 * difth |
1422 |
|
1423 |
end do |
1424 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1425 |
CADJ STORE gat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1426 |
CADJ STORE gat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1427 |
CADJ STORE gat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1428 |
CADJ STORE dat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1429 |
CADJ STORE dat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1430 |
CADJ STORE dat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1431 |
#endif |
1432 |
do i = 1, imt |
1433 |
dat1m(i) = min(dat1m(i),p0) |
1434 |
dat1s(i) = min(dat1s(i),p0) |
1435 |
dat1t(i) = min(dat1t(i),p0) |
1436 |
end do |
1437 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1438 |
CADJ STORE dat1m = comlev1_kpp, key=ikppkey, kind=isbyte |
1439 |
CADJ STORE dat1s = comlev1_kpp, key=ikppkey, kind=isbyte |
1440 |
CADJ STORE dat1t = comlev1_kpp, key=ikppkey, kind=isbyte |
1441 |
#endif |
1442 |
|
1443 |
do ki = 1, Nr |
1444 |
|
1445 |
#ifdef ALLOW_AUTODIFF_TAMC |
1446 |
kkppkey = (ikppkey-1)*Nr + ki |
1447 |
#endif |
1448 |
|
1449 |
c----------------------------------------------------------------------- |
1450 |
c compute turbulent velocity scales on the interfaces |
1451 |
c----------------------------------------------------------------------- |
1452 |
|
1453 |
do i = 1, imt |
1454 |
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1455 |
sigma(i) = stable(i)*sig + (1.-stable(i))*min(sig,epsilon) |
1456 |
end do |
1457 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1458 |
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1459 |
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1460 |
#endif |
1461 |
#ifdef ALLOW_AUTODIFF_TAMC |
1462 |
CADJ STORE sigma = comlev1_kpp_k, key = kkppkey |
1463 |
#endif |
1464 |
call wscale ( |
1465 |
I sigma, hbl, ustar, bfsfc, |
1466 |
O wm, ws, myThid ) |
1467 |
#ifdef ALLOW_AUTODIFF_TAMC |
1468 |
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1469 |
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1470 |
#endif |
1471 |
|
1472 |
c----------------------------------------------------------------------- |
1473 |
c compute the dimensionless shape functions at the interfaces |
1474 |
c----------------------------------------------------------------------- |
1475 |
|
1476 |
do i = 1, imt |
1477 |
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1478 |
a1 = sig - 2. |
1479 |
a2 = 3. - 2. * sig |
1480 |
a3 = sig - 1. |
1481 |
|
1482 |
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1483 |
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1484 |
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1485 |
|
1486 |
c----------------------------------------------------------------------- |
1487 |
c compute boundary layer diffusivities at the interfaces |
1488 |
c----------------------------------------------------------------------- |
1489 |
|
1490 |
blmc(i,ki,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1491 |
blmc(i,ki,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1492 |
blmc(i,ki,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1493 |
|
1494 |
c----------------------------------------------------------------------- |
1495 |
c nonlocal transport term = ghat * <ws>o |
1496 |
c----------------------------------------------------------------------- |
1497 |
|
1498 |
tempVar = ws(i) * hbl(i) |
1499 |
ghat(i,ki) = (1.-stable(i)) * cg / max(phepsi,tempVar) |
1500 |
|
1501 |
end do |
1502 |
end do |
1503 |
|
1504 |
c----------------------------------------------------------------------- |
1505 |
c find diffusivities at kbl-1 grid level |
1506 |
c----------------------------------------------------------------------- |
1507 |
|
1508 |
do i = 1, imt |
1509 |
sig = -zgrid(kbl(i)-1) / hbl(i) |
1510 |
sigma(i) = stable(i) * sig |
1511 |
& + (1. - stable(i)) * min(sig,epsilon) |
1512 |
end do |
1513 |
|
1514 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1515 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1516 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1517 |
#endif |
1518 |
#ifdef ALLOW_AUTODIFF_TAMC |
1519 |
CADJ STORE sigma = comlev1_kpp, key=ikppkey, kind=isbyte |
1520 |
#endif |
1521 |
call wscale ( |
1522 |
I sigma, hbl, ustar, bfsfc, |
1523 |
O wm, ws, myThid ) |
1524 |
#ifdef ALLOW_AUTODIFF_TAMC |
1525 |
CADJ STORE wm = comlev1_kpp, key=ikppkey, kind=isbyte |
1526 |
CADJ STORE ws = comlev1_kpp, key=ikppkey, kind=isbyte |
1527 |
#endif |
1528 |
|
1529 |
do i = 1, imt |
1530 |
sig = -zgrid(kbl(i)-1) / hbl(i) |
1531 |
a1 = sig - 2. |
1532 |
a2 = 3. - 2. * sig |
1533 |
a3 = sig - 1. |
1534 |
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1535 |
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1536 |
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1537 |
dkm1(i,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1538 |
dkm1(i,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1539 |
dkm1(i,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1540 |
end do |
1541 |
|
1542 |
#endif /* ALLOW_KPP */ |
1543 |
|
1544 |
return |
1545 |
end |
1546 |
|
1547 |
c************************************************************************* |
1548 |
|
1549 |
subroutine enhance ( |
1550 |
I dkm1, hbl, kbl, diffus, casea |
1551 |
U , ghat |
1552 |
O , blmc |
1553 |
& , myThid ) |
1554 |
|
1555 |
c enhance the diffusivity at the kbl-.5 interface |
1556 |
|
1557 |
IMPLICIT NONE |
1558 |
|
1559 |
#include "SIZE.h" |
1560 |
#include "KPP_PARAMS.h" |
1561 |
|
1562 |
c input |
1563 |
c dkm1(imt,mdiff) bl diffusivity at kbl-1 grid level |
1564 |
c hbl(imt) boundary layer depth (m) |
1565 |
c kbl(imt) grid above hbl |
1566 |
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1567 |
c casea(imt) = 1 in caseA, = 0 in case B |
1568 |
c myThid thread number for this instance of the routine |
1569 |
integer myThid |
1570 |
_RL dkm1 (imt,mdiff) |
1571 |
_RL hbl (imt) |
1572 |
integer kbl (imt) |
1573 |
_RL diffus(imt,0:Nrp1,mdiff) |
1574 |
_RL casea (imt) |
1575 |
|
1576 |
c input/output |
1577 |
c nonlocal transport, modified ghat at kbl(i)-1 interface (s/m**2) |
1578 |
_RL ghat (imt,Nr) |
1579 |
|
1580 |
c output |
1581 |
c enhanced bound. layer mixing coeff. |
1582 |
_RL blmc (imt,Nr,mdiff) |
1583 |
|
1584 |
#ifdef ALLOW_KPP |
1585 |
|
1586 |
c local |
1587 |
c fraction hbl lies beteen zgrid neighbors |
1588 |
_RL delta |
1589 |
integer ki, i, md |
1590 |
_RL dkmp5, dstar |
1591 |
|
1592 |
do i = 1, imt |
1593 |
ki = kbl(i)-1 |
1594 |
if ((ki .ge. 1) .and. (ki .lt. Nr)) then |
1595 |
delta = (hbl(i) + zgrid(ki)) / (zgrid(ki) - zgrid(ki+1)) |
1596 |
do md = 1, mdiff |
1597 |
dkmp5 = casea(i) * diffus(i,ki,md) + |
1598 |
1 (1.- casea(i)) * blmc (i,ki,md) |
1599 |
dstar = (1.- delta)**2 * dkm1(i,md) |
1600 |
& + delta**2 * dkmp5 |
1601 |
blmc(i,ki,md) = (1.- delta)*diffus(i,ki,md) |
1602 |
& + delta*dstar |
1603 |
end do |
1604 |
ghat(i,ki) = (1.- casea(i)) * ghat(i,ki) |
1605 |
endif |
1606 |
end do |
1607 |
|
1608 |
#endif /* ALLOW_KPP */ |
1609 |
|
1610 |
return |
1611 |
end |
1612 |
|
1613 |
c************************************************************************* |
1614 |
|
1615 |
SUBROUTINE STATEKPP ( |
1616 |
O RHO1, DBLOC, DBSFC, TTALPHA, SSBETA, |
1617 |
I ikppkey, bi, bj, myThid ) |
1618 |
c |
1619 |
c----------------------------------------------------------------------- |
1620 |
c "statekpp" computes all necessary input arrays |
1621 |
c for the kpp mixing scheme |
1622 |
c |
1623 |
c input: |
1624 |
c bi, bj = array indices on which to apply calculations |
1625 |
c |
1626 |
c output: |
1627 |
c rho1 = potential density of surface layer (kg/m^3) |
1628 |
c dbloc = local buoyancy gradient at Nr interfaces |
1629 |
c g/rho{k+1,k+1} * [ drho{k,k+1}-drho{k+1,k+1} ] (m/s^2) |
1630 |
c dbsfc = buoyancy difference with respect to the surface |
1631 |
c g * [ drho{1,k}/rho{1,k} - drho{k,k}/rho{k,k} ] (m/s^2) |
1632 |
c ttalpha= thermal expansion coefficient without 1/rho factor |
1633 |
c d(rho) / d(potential temperature) (kg/m^3/C) |
1634 |
c ssbeta = salt expansion coefficient without 1/rho factor |
1635 |
c d(rho) / d(salinity) (kg/m^3/PSU) |
1636 |
c |
1637 |
c see also subroutines find_rho.F find_alpha.F find_beta.F |
1638 |
c |
1639 |
c written by: jan morzel, feb. 10, 1995 (converted from "sigma" version) |
1640 |
c modified by: d. menemenlis, june 1998 : for use with MIT GCM UV |
1641 |
c |
1642 |
|
1643 |
c----------------------------------------------------------------------- |
1644 |
|
1645 |
IMPLICIT NONE |
1646 |
|
1647 |
#include "SIZE.h" |
1648 |
#include "EEPARAMS.h" |
1649 |
#include "PARAMS.h" |
1650 |
#include "KPP_PARAMS.h" |
1651 |
#include "DYNVARS.h" |
1652 |
#include "GRID.h" |
1653 |
#ifdef ALLOW_AUTODIFF_TAMC |
1654 |
# include "tamc.h" |
1655 |
#endif |
1656 |
|
1657 |
c-------------- Routine arguments ----------------------------------------- |
1658 |
INTEGER bi, bj, myThid |
1659 |
_RL RHO1 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1660 |
_RL DBLOC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1661 |
_RL DBSFC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1662 |
_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1663 |
_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1664 |
|
1665 |
#ifdef ALLOW_KPP |
1666 |
|
1667 |
c-------------------------------------------------------------------------- |
1668 |
c |
1669 |
c local arrays: |
1670 |
c |
1671 |
c rhok - density of t(k ) & s(k ) at depth k |
1672 |
c rhokm1 - density of t(k-1) & s(k-1) at depth k |
1673 |
c rho1k - density of t(1 ) & s(1 ) at depth k |
1674 |
c work1,2,3 - work arrays for holding horizontal slabs |
1675 |
|
1676 |
_RL RHOK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1677 |
_RL RHOKM1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1678 |
_RL RHO1K (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1679 |
_RL WORK1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1680 |
_RL WORK2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1681 |
_RL WORK3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1682 |
|
1683 |
INTEGER I, J, K |
1684 |
INTEGER ikppkey, kkppkey |
1685 |
|
1686 |
c calculate density, alpha, beta in surface layer, and set dbsfc to zero |
1687 |
|
1688 |
kkppkey = (ikppkey-1)*Nr + 1 |
1689 |
|
1690 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1691 |
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1692 |
CADJ & key=kkppkey, kind=isbyte |
1693 |
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1694 |
CADJ & key=kkppkey, kind=isbyte |
1695 |
#endif /* KPP_AUTODIFF_MORE_STORE */ |
1696 |
CALL FIND_RHO_2D( |
1697 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, |
1698 |
I theta(1-OLx,1-OLy,1,bi,bj), salt(1-OLx,1-OLy,1,bi,bj), |
1699 |
O WORK1, |
1700 |
I 1, bi, bj, myThid ) |
1701 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1702 |
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1703 |
CADJ & key=kkppkey, kind=isbyte |
1704 |
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1705 |
CADJ & key=kkppkey, kind=isbyte |
1706 |
#endif /* KPP_AUTODIFF_MORE_STORE */ |
1707 |
|
1708 |
call FIND_ALPHA( |
1709 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1710 |
O WORK2, myThid ) |
1711 |
|
1712 |
call FIND_BETA( |
1713 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1714 |
O WORK3, myThid ) |
1715 |
|
1716 |
DO J = 1-OLy, sNy+OLy |
1717 |
DO I = 1-OLx, sNx+OLx |
1718 |
RHO1(I,J) = WORK1(I,J) + rhoConst |
1719 |
TTALPHA(I,J,1) = WORK2(I,J) |
1720 |
SSBETA(I,J,1) = WORK3(I,J) |
1721 |
DBSFC(I,J,1) = 0. |
1722 |
END DO |
1723 |
END DO |
1724 |
|
1725 |
c calculate alpha, beta, and gradients in interior layers |
1726 |
|
1727 |
CHPF$ INDEPENDENT, NEW (RHOK,RHOKM1,RHO1K,WORK1,WORK2) |
1728 |
DO K = 2, Nr |
1729 |
|
1730 |
kkppkey = (ikppkey-1)*Nr + k |
1731 |
|
1732 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1733 |
CADJ STORE theta(:,:,k,bi,bj) = comlev1_kpp_k, |
1734 |
CADJ & key=kkppkey, kind=isbyte |
1735 |
CADJ STORE salt (:,:,k,bi,bj) = comlev1_kpp_k, |
1736 |
CADJ & key=kkppkey, kind=isbyte |
1737 |
#endif /* KPP_AUTODIFF_MORE_STORE */ |
1738 |
CALL FIND_RHO_2D( |
1739 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1740 |
I theta(1-OLx,1-OLy,k,bi,bj), salt(1-OLx,1-OLy,k,bi,bj), |
1741 |
O RHOK, |
1742 |
I k, bi, bj, myThid ) |
1743 |
|
1744 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1745 |
CADJ STORE theta(:,:,k-1,bi,bj) = comlev1_kpp_k, |
1746 |
CADJ & key=kkppkey, kind=isbyte |
1747 |
CADJ STORE salt (:,:,k-1,bi,bj) = comlev1_kpp_k, |
1748 |
CADJ & key=kkppkey, kind=isbyte |
1749 |
#endif /* KPP_AUTODIFF_MORE_STORE */ |
1750 |
CALL FIND_RHO_2D( |
1751 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1752 |
I theta(1-OLx,1-OLy,k-1,bi,bj),salt(1-OLx,1-OLy,k-1,bi,bj), |
1753 |
O RHOKM1, |
1754 |
I k-1, bi, bj, myThid ) |
1755 |
|
1756 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1757 |
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
1758 |
CADJ & key=kkppkey, kind=isbyte |
1759 |
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
1760 |
CADJ & key=kkppkey, kind=isbyte |
1761 |
#endif /* KPP_AUTODIFF_MORE_STORE */ |
1762 |
CALL FIND_RHO_2D( |
1763 |
I 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, k, |
1764 |
I theta(1-OLx,1-OLy,1,bi,bj), salt(1-OLx,1-OLy,1,bi,bj), |
1765 |
O RHO1K, |
1766 |
I 1, bi, bj, myThid ) |
1767 |
|
1768 |
#ifdef KPP_AUTODIFF_MORE_STORE |
1769 |
CADJ STORE rhok (:,:) = comlev1_kpp_k, |
1770 |
CADJ & key=kkppkey, kind=isbyte |
1771 |
CADJ STORE rhokm1(:,:) = comlev1_kpp_k, |
1772 |
CADJ & key=kkppkey, kind=isbyte |
1773 |
CADJ STORE rho1k (:,:) = comlev1_kpp_k, |
1774 |
CADJ & key=kkppkey, kind=isbyte |
1775 |
#endif /* KPP_AUTODIFF_MORE_STORE */ |
1776 |
|
1777 |
call FIND_ALPHA( |
1778 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1779 |
O WORK1, myThid ) |
1780 |
|
1781 |
call FIND_BETA( |
1782 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1783 |
O WORK2, myThid ) |
1784 |
|
1785 |
DO J = 1-OLy, sNy+OLy |
1786 |
DO I = 1-OLx, sNx+OLx |
1787 |
TTALPHA(I,J,K) = WORK1 (I,J) |
1788 |
SSBETA(I,J,K) = WORK2 (I,J) |
1789 |
DBLOC(I,J,K-1) = gravity * (RHOK(I,J) - RHOKM1(I,J)) / |
1790 |
& (RHOK(I,J) + rhoConst) |
1791 |
DBSFC(I,J,K) = gravity * (RHOK(I,J) - RHO1K (I,J)) / |
1792 |
& (RHOK(I,J) + rhoConst) |
1793 |
END DO |
1794 |
END DO |
1795 |
|
1796 |
END DO |
1797 |
|
1798 |
c compute arrays for K = Nrp1 |
1799 |
DO J = 1-OLy, sNy+OLy |
1800 |
DO I = 1-OLx, sNx+OLx |
1801 |
TTALPHA(I,J,Nrp1) = TTALPHA(I,J,Nr) |
1802 |
SSBETA(I,J,Nrp1) = SSBETA(I,J,Nr) |
1803 |
DBLOC(I,J,Nr) = 0. |
1804 |
END DO |
1805 |
END DO |
1806 |
|
1807 |
#ifdef ALLOW_DIAGNOSTICS |
1808 |
IF ( useDiagnostics ) THEN |
1809 |
CALL DIAGNOSTICS_FILL(DBSFC ,'KPPdbsfc',0,Nr,2,bi,bj,myThid) |
1810 |
CALL DIAGNOSTICS_FILL(DBLOC ,'KPPdbloc',0,Nr,2,bi,bj,myThid) |
1811 |
ENDIF |
1812 |
#endif /* ALLOW_DIAGNOSTICS */ |
1813 |
|
1814 |
#endif /* ALLOW_KPP */ |
1815 |
|
1816 |
RETURN |
1817 |
END |
1818 |
|
1819 |
c************************************************************************* |
1820 |
|
1821 |
SUBROUTINE KPP_DOUBLEDIFF ( |
1822 |
I TTALPHA, SSBETA, |
1823 |
U kappaRT, |
1824 |
U kappaRS, |
1825 |
I ikppkey, imin, imax, jmin, jmax, bi, bj, myThid ) |
1826 |
c |
1827 |
c----------------------------------------------------------------------- |
1828 |
c "KPP_DOUBLEDIFF" adds the double diffusive contributions |
1829 |
C as Rrho-dependent parameterizations to kappaRT and kappaRS |
1830 |
c |
1831 |
c input: |
1832 |
c bi, bj = array indices on which to apply calculations |
1833 |
c imin, imax, jmin, jmax = array boundaries |
1834 |
c ikppkey = key for TAMC/TAF automatic differentiation |
1835 |
c myThid = thread id |
1836 |
c |
1837 |
c ttalpha= thermal expansion coefficient without 1/rho factor |
1838 |
c d(rho) / d(potential temperature) (kg/m^3/C) |
1839 |
c ssbeta = salt expansion coefficient without 1/rho factor |
1840 |
c d(rho) / d(salinity) (kg/m^3/PSU) |
1841 |
c output: updated |
1842 |
c kappaRT/S :: background diffusivities for temperature and salinity |
1843 |
c |
1844 |
c written by: martin losch, sept. 15, 2009 |
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c |
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|
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c----------------------------------------------------------------------- |
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|
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IMPLICIT NONE |
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|
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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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#include "DYNVARS.h" |
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#include "GRID.h" |
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#ifdef ALLOW_AUTODIFF_TAMC |
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# include "tamc.h" |
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#endif |
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|
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c-------------- Routine arguments ----------------------------------------- |
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INTEGER ikppkey, imin, imax, jmin, jmax, bi, bj, myThid |
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|
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_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
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_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
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_RL KappaRT( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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_RL KappaRS( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
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|
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#ifdef ALLOW_KPP |
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|
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C-------------------------------------------------------------------------- |
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C |
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C local variables |
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C I,J,K :: loop indices |
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C kkppkey :: key for TAMC/TAF automatic differentiation |
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C |
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INTEGER I, J, K |
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INTEGER kkppkey |
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C alphaDT :: d\rho/d\theta * d\theta |
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C betaDS :: d\rho/dsalt * dsalt |
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C Rrho :: "density ratio" R_{\rho} = \alpha dT/dz / \beta dS/dz |
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C nuddt/s :: double diffusive diffusivities |
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C numol :: molecular diffusivity |
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C rFac :: abbreviation for 1/(R_{\rho0}-1) |
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|
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_RL alphaDT ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL betaDS ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL nuddt ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL nudds ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
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_RL Rrho |
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_RL numol, rFac, nutmp |
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INTEGER Km1 |
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|
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C set some constants here |
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numol = 1.5 _d -06 |
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rFac = 1. _d 0 / (Rrho0 - 1. _d 0 ) |
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C |
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kkppkey = (ikppkey-1)*Nr + 1 |
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|
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CML#ifdef KPP_AUTODIFF_MORE_STORE |
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CMLCADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, |
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CMLCADJ & key=kkppkey, kind=isbyte |
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CMLCADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, |
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CMLCADJ & key=kkppkey, kind=isbyte |
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CML#endif /* KPP_AUTODIFF_MORE_STORE */ |
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|
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DO K = 1, Nr |
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Km1 = MAX(K-1,1) |
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DO J = 1-OLy, sNy+OLy |
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DO I = 1-OLx, sNx+OLx |
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alphaDT(I,J) = ( theta(I,J,Km1,bi,bj)-theta(I,J,K,bi,bj) ) |
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& * 0.5 _d 0 * ABS( TTALPHA(I,J,Km1) + TTALPHA(I,J,K) ) |
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betaDS(I,J) = ( salt(I,J,Km1,bi,bj)-salt(I,J,K,bi,bj) ) |
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& * 0.5 _d 0 * ( SSBETA(I,J,Km1) + SSBETA(I,J,K) ) |
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nuddt(I,J) = 0. _d 0 |
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nudds(I,J) = 0. _d 0 |
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ENDDO |
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ENDDO |
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IF ( K .GT. 1 ) THEN |
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DO J = jMin, jMax |
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DO I = iMin, iMax |
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Rrho = 0. _d 0 |
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C Now we have many different cases |
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C a. alphaDT > 0 and betaDS > 0 => salt fingering |
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C (salinity destabilizes) |
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IF ( alphaDT(I,J) .GT. betaDS(I,J) |
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& .AND. betaDS(I,J) .GT. 0. _d 0 ) THEN |
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Rrho = MIN( alphaDT(I,J)/betaDS(I,J), Rrho0 ) |
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C Large et al. 1994, eq. 31a |
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C nudds(I,J) = dsfmax * ( 1. _d 0 - (Rrho - 1. _d 0) * rFac )**3 |
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nutmp = ( 1. _d 0 - (Rrho - 1. _d 0) * rFac ) |
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nudds(I,J) = dsfmax * nutmp * nutmp * nutmp |
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C Large et al. 1994, eq. 31c |
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nuddt(I,J) = 0.7 _d 0 * nudds(I,J) |
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ELSEIF ( alphaDT(I,J) .LT. 0. _d 0 |
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& .AND. betaDS(I,J) .LT. 0. _d 0 |
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& .AND.alphaDT(I,J) .GT. betaDS(I,J) ) THEN |
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C b. alphaDT < 0 and betaDS < 0 => semi-convection, diffusive convection |
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C (temperature destabilizes) |
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C for Rrho >= 1 the water column is statically unstable and we never |
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C reach this point |
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Rrho = alphaDT(I,J)/betaDS(I,J) |
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C Large et al. 1994, eq. 32 |
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nuddt(I,J) = numol * 0.909 _d 0 |
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& * exp ( 4.6 _d 0 * exp ( |
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& - 5.4 _d 0 * ( 1. _d 0/Rrho - 1. _d 0 ) ) ) |
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CMLC or |
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CMLC Large et al. 1994, eq. 33 |
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CML nuddt(I,J) = numol * 8.7 _d 0 * Rrho**1.1 |
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C Large et al. 1994, eqs. 34 |
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nudds(I,J) = nuddt(I,J) * MAX( 0.15 _d 0 * Rrho, |
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& 1.85 _d 0 * Rrho - 0.85 _d 0 ) |
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ELSE |
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C Do nothing, because in this case the water colume is unstable |
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C => double diffusive processes are negligible and mixing due |
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C to shear instability will dominate |
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ENDIF |
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ENDDO |
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ENDDO |
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C ENDIF ( K .GT. 1 ) |
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ENDIF |
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C |
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DO J = 1-OLy, sNy+OLy |
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DO I = 1-OLx, sNx+OLx |
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kappaRT(I,J,K) = kappaRT(I,J,K) + nuddt(I,J) |
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kappaRS(I,J,K) = kappaRS(I,J,K) + nudds(I,J) |
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ENDDO |
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ENDDO |
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#ifdef ALLOW_DIAGNOSTICS |
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IF ( useDiagnostics ) THEN |
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CALL DIAGNOSTICS_FILL(nuddt,'KPPnuddt',k,1,2,bi,bj,myThid) |
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CALL DIAGNOSTICS_FILL(nudds,'KPPnudds',k,1,2,bi,bj,myThid) |
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ENDIF |
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#endif /* ALLOW_DIAGNOSTICS */ |
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C end of K-loop |
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ENDDO |
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#endif /* ALLOW_KPP */ |
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|
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RETURN |
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END |