1 |
dimitri |
1.33 |
C $Header: /u/gcmpack/MITgcm/pkg/kpp/kpp_routines.F,v 1.32 2007/06/04 18:47:35 heimbach Exp $ |
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heimbach |
1.10 |
C $Name: $ |
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adcroft |
1.1 |
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#include "KPP_OPTIONS.h" |
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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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dimitri |
1.27 |
C-- o SMOOTH_HORIZ- Apply horizontal smoothing to global array. |
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adcroft |
1.1 |
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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heimbach |
1.4 |
c*********************************************************************** |
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adcroft |
1.1 |
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SUBROUTINE KPPMIX ( |
22 |
mlosch |
1.30 |
I kmtj, shsq, dvsq, ustar, msk |
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dimitri |
1.33 |
I , bo, bosol |
24 |
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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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dimitri |
1.26 |
I , diffusKzS, diffusKzT |
29 |
heimbach |
1.16 |
I , ikppkey |
30 |
adcroft |
1.1 |
O , diffus |
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U , ghat |
32 |
mlosch |
1.30 |
O , hbl |
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jmc |
1.31 |
I , myTime, myIter, myThid ) |
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adcroft |
1.1 |
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heimbach |
1.4 |
c----------------------------------------------------------------------- |
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adcroft |
1.1 |
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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jmc |
1.29 |
#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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adcroft |
1.1 |
c input |
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jmc |
1.31 |
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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dimitri |
1.26 |
c kmtj (imt) - number of vertical layers on this row |
61 |
mlosch |
1.30 |
c msk (imt) - surface mask (=1 if water, =0 otherwise) |
62 |
dimitri |
1.26 |
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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dimitri |
1.33 |
c boplume(imt) - haline buoyancy forcing (m^2/s^3) |
68 |
dimitri |
1.26 |
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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adcroft |
1.1 |
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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jmc |
1.31 |
_RL myTime |
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integer myIter |
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integer myThid |
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dimitri |
1.27 |
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 ) |
89 |
dimitri |
1.33 |
#ifdef ALLOW_SALT_PLUME |
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_RL boplume (imt ) |
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_RL SPDepth (imt ) |
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#endif /* ALLOW_SALT_PLUME */ |
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dimitri |
1.27 |
_RL dbloc (imt,Nr) |
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_RL Ritop (imt,Nr) |
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_RL coriol (imt ) |
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mlosch |
1.30 |
_RS msk (imt ) |
97 |
dimitri |
1.27 |
_RL diffusKzS(imt,Nr) |
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_RL diffusKzT(imt,Nr) |
99 |
adcroft |
1.1 |
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heimbach |
1.16 |
integer ikppkey |
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adcroft |
1.1 |
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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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109 |
dimitri |
1.27 |
_RL diffus(imt,0:Nrp1,mdiff) |
110 |
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_RL ghat (imt,Nr) |
111 |
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_RL hbl (imt) |
112 |
adcroft |
1.1 |
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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 |
121 |
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c blmc (imt,Nr,mdiff) - boundary layer mixing coefficients |
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c sigma (imt ) - normalized depth (d / hbl) |
123 |
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c Rib (imt,Nr ) - bulk Richardson number |
124 |
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125 |
dimitri |
1.27 |
integer kbl(imt ) |
126 |
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_RL bfsfc (imt ) |
127 |
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_RL casea (imt ) |
128 |
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_RL stable (imt ) |
129 |
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_RL dkm1 (imt, mdiff) |
130 |
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_RL blmc (imt,Nr,mdiff) |
131 |
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_RL sigma (imt ) |
132 |
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_RL Rib (imt,Nr ) |
133 |
adcroft |
1.1 |
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integer i, k, md |
135 |
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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. |
140 |
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c (ghat is temporary storage for horizontally smoothed dbloc) |
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c----------------------------------------------------------------------- |
142 |
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143 |
heimbach |
1.15 |
cph( |
144 |
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cph these storings avoid recomp. of Ri_iwmix |
145 |
heimbach |
1.16 |
CADJ STORE ghat = comlev1_kpp, key = ikppkey |
146 |
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CADJ STORE dbloc = comlev1_kpp, key = ikppkey |
147 |
heimbach |
1.15 |
cph) |
148 |
adcroft |
1.1 |
call Ri_iwmix ( |
149 |
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I kmtj, shsq, dbloc, ghat |
150 |
dimitri |
1.26 |
I , diffusKzS, diffusKzT |
151 |
heimbach |
1.16 |
I , ikppkey |
152 |
heimbach |
1.32 |
O , diffus, myThid ) |
153 |
adcroft |
1.1 |
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154 |
heimbach |
1.15 |
cph( |
155 |
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cph these storings avoid recomp. of Ri_iwmix |
156 |
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cph DESPITE TAFs 'not necessary' warning! |
157 |
heimbach |
1.16 |
CADJ STORE dbloc = comlev1_kpp, key = ikppkey |
158 |
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CADJ STORE shsq = comlev1_kpp, key = ikppkey |
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CADJ STORE ghat = comlev1_kpp, key = ikppkey |
160 |
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CADJ STORE diffus = comlev1_kpp, key = ikppkey |
161 |
heimbach |
1.15 |
cph) |
162 |
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163 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
164 |
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c set seafloor values to zero and fill extra "Nrp1" coefficients |
165 |
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c for blmix |
166 |
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c----------------------------------------------------------------------- |
167 |
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168 |
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do md = 1, mdiff |
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do i = 1,imt |
170 |
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do k=kmtj(i),Nrp1 |
171 |
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diffus(i,k,md) = 0.0 |
172 |
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end do |
173 |
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end do |
174 |
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end do |
175 |
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176 |
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c----------------------------------------------------------------------- |
177 |
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c compute boundary layer mixing coefficients: |
178 |
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c |
179 |
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c diagnose the new boundary layer depth |
180 |
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c----------------------------------------------------------------------- |
181 |
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182 |
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call bldepth ( |
183 |
mlosch |
1.30 |
I kmtj |
184 |
dimitri |
1.33 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol |
185 |
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#ifdef ALLOW_SALT_PLUME |
186 |
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I , boplume,SPDepth |
187 |
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#endif /* ALLOW_SALT_PLUME */ |
188 |
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I , coriol |
189 |
heimbach |
1.16 |
I , ikppkey |
190 |
adcroft |
1.1 |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
191 |
jmc |
1.31 |
I , myTime, myIter, myThid ) |
192 |
adcroft |
1.1 |
|
193 |
heimbach |
1.16 |
CADJ STORE hbl,bfsfc,stable,casea,kbl = comlev1_kpp, key = ikppkey |
194 |
adcroft |
1.1 |
|
195 |
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c----------------------------------------------------------------------- |
196 |
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c compute boundary layer diffusivities |
197 |
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c----------------------------------------------------------------------- |
198 |
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199 |
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call blmix ( |
200 |
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I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
201 |
heimbach |
1.16 |
O , dkm1, blmc, ghat, sigma, ikppkey |
202 |
jmc |
1.31 |
I , myThid ) |
203 |
heimbach |
1.15 |
cph( |
204 |
heimbach |
1.16 |
CADJ STORE dkm1,blmc,ghat = comlev1_kpp, key = ikppkey |
205 |
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CADJ STORE hbl, kbl, diffus, casea = comlev1_kpp, key = ikppkey |
206 |
heimbach |
1.15 |
cph) |
207 |
adcroft |
1.1 |
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208 |
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c----------------------------------------------------------------------- |
209 |
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c enhance diffusivity at interface kbl - 1 |
210 |
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c----------------------------------------------------------------------- |
211 |
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212 |
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call enhance ( |
213 |
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I dkm1, hbl, kbl, diffus, casea |
214 |
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U , ghat |
215 |
mlosch |
1.30 |
O , blmc |
216 |
jmc |
1.31 |
I , myThid ) |
217 |
heimbach |
1.15 |
|
218 |
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cph( |
219 |
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cph avoids recomp. of enhance |
220 |
heimbach |
1.16 |
CADJ STORE blmc = comlev1_kpp, key = ikppkey |
221 |
heimbach |
1.15 |
cph) |
222 |
adcroft |
1.1 |
|
223 |
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c----------------------------------------------------------------------- |
224 |
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c combine interior and boundary layer coefficients and nonlocal term |
225 |
dimitri |
1.14 |
c !!!NOTE!!! In shallow (2-level) regions and for shallow mixed layers |
226 |
edhill |
1.17 |
c (< 1 level), diffusivity blmc can become negative. The max-s below |
227 |
dimitri |
1.14 |
c are a hack until this problem is properly diagnosed and fixed. |
228 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
229 |
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do k = 1, Nr |
230 |
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do i = 1, imt |
231 |
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if (k .lt. kbl(i)) then |
232 |
mlosch |
1.30 |
#ifdef ALLOW_SHELFICE |
233 |
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C when there is shelfice on top (msk(i)=0), reset the boundary layer |
234 |
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C mixing coefficients blmc to pure Ri-number based mixing |
235 |
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blmc(i,k,1) = max ( blmc(i,k,1)*msk(i), |
236 |
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& diffus(i,k,1) ) |
237 |
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blmc(i,k,2) = max ( blmc(i,k,2)*msk(i), |
238 |
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& diffus(i,k,2) ) |
239 |
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blmc(i,k,3) = max ( blmc(i,k,3)*msk(i), |
240 |
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& diffus(i,k,3) ) |
241 |
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#endif /* not ALLOW_SHELFICE */ |
242 |
dimitri |
1.14 |
diffus(i,k,1) = max ( blmc(i,k,1), viscAr ) |
243 |
dimitri |
1.26 |
diffus(i,k,2) = max ( blmc(i,k,2), diffusKzS(i,Nr) ) |
244 |
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diffus(i,k,3) = max ( blmc(i,k,3), diffusKzT(i,Nr) ) |
245 |
adcroft |
1.1 |
else |
246 |
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ghat(i,k) = 0. |
247 |
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endif |
248 |
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end do |
249 |
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end do |
250 |
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251 |
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#endif /* ALLOW_KPP */ |
252 |
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253 |
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return |
254 |
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end |
255 |
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256 |
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c************************************************************************* |
257 |
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258 |
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subroutine bldepth ( |
259 |
mlosch |
1.30 |
I kmtj |
260 |
dimitri |
1.33 |
I , dvsq, dbloc, Ritop, ustar, bo, bosol |
261 |
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#ifdef ALLOW_SALT_PLUME |
262 |
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I , boplume,SPDepth |
263 |
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#endif /* ALLOW_SALT_PLUME */ |
264 |
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I , coriol |
265 |
heimbach |
1.16 |
I , ikppkey |
266 |
adcroft |
1.1 |
O , hbl, bfsfc, stable, casea, kbl, Rib, sigma |
267 |
jmc |
1.31 |
I , myTime, myIter, myThid ) |
268 |
adcroft |
1.1 |
|
269 |
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c the oceanic planetary boundary layer depth, hbl, is determined as |
270 |
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c the shallowest depth where the bulk Richardson number is |
271 |
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c equal to the critical value, Ricr. |
272 |
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c |
273 |
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c bulk Richardson numbers are evaluated by computing velocity and |
274 |
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c buoyancy differences between values at zgrid(kl) < 0 and surface |
275 |
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c reference values. |
276 |
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c in this configuration, the reference values are equal to the |
277 |
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c values in the surface layer. |
278 |
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c when using a very fine vertical grid, these values should be |
279 |
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c computed as the vertical average of velocity and buoyancy from |
280 |
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c the surface down to epsilon*zgrid(kl). |
281 |
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c |
282 |
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c when the bulk Richardson number at k exceeds Ricr, hbl is |
283 |
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c linearly interpolated between grid levels zgrid(k) and zgrid(k-1). |
284 |
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c |
285 |
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c The water column and the surface forcing are diagnosed for |
286 |
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c stable/ustable forcing conditions, and where hbl is relative |
287 |
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c to grid points (caseA), so that conditional branches can be |
288 |
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c avoided in later subroutines. |
289 |
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c |
290 |
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IMPLICIT NONE |
291 |
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292 |
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#include "SIZE.h" |
293 |
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#include "KPP_PARAMS.h" |
294 |
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295 |
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c input |
296 |
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c------ |
297 |
jmc |
1.31 |
c myTime :: Current time in simulation |
298 |
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c myIter :: Current iteration number in simulation |
299 |
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c myThid :: My Thread Id. number |
300 |
adcroft |
1.1 |
c kmtj : number of vertical layers |
301 |
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c dvsq : (velocity shear re sfc)^2 ((m/s)^2) |
302 |
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c dbloc : local delta buoyancy across interfaces (m/s^2) |
303 |
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c Ritop : numerator of bulk Richardson Number |
304 |
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c =(z-zref)*dbsfc, where dbsfc=delta |
305 |
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c buoyancy with respect to surface ((m/s)^2) |
306 |
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c ustar : surface friction velocity (m/s) |
307 |
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c bo : surface turbulent buoyancy forcing (m^2/s^3) |
308 |
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c bosol : radiative buoyancy forcing (m^2/s^3) |
309 |
dimitri |
1.33 |
c boplume : haline buoyancy forcing (m^2/s^3) |
310 |
adcroft |
1.1 |
c coriol : Coriolis parameter (1/s) |
311 |
jmc |
1.31 |
_RL myTime |
312 |
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integer myIter |
313 |
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integer myThid |
314 |
adcroft |
1.1 |
integer kmtj(imt) |
315 |
dimitri |
1.27 |
_RL dvsq (imt,Nr) |
316 |
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_RL dbloc (imt,Nr) |
317 |
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_RL Ritop (imt,Nr) |
318 |
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_RL ustar (imt) |
319 |
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_RL bo (imt) |
320 |
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_RL bosol (imt) |
321 |
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_RL coriol (imt) |
322 |
heimbach |
1.19 |
integer ikppkey, kkppkey |
323 |
dimitri |
1.33 |
#ifdef ALLOW_SALT_PLUME |
324 |
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_RL boplume (imt) |
325 |
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_RL SPDepth (imt) |
326 |
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#endif /* ALLOW_SALT_PLUME */ |
327 |
adcroft |
1.1 |
|
328 |
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c output |
329 |
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c-------- |
330 |
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c hbl : boundary layer depth (m) |
331 |
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c bfsfc : Bo+radiation absorbed to d=hbf*hbl (m^2/s^3) |
332 |
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c stable : =1 in stable forcing; =0 unstable |
333 |
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c casea : =1 in case A, =0 in case B |
334 |
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c kbl : -1 of first grid level below hbl |
335 |
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c Rib : Bulk Richardson number |
336 |
|
|
c sigma : normalized depth (d/hbl) |
337 |
dimitri |
1.27 |
_RL hbl (imt) |
338 |
|
|
_RL bfsfc (imt) |
339 |
|
|
_RL stable (imt) |
340 |
|
|
_RL casea (imt) |
341 |
|
|
integer kbl(imt) |
342 |
|
|
_RL Rib (imt,Nr) |
343 |
|
|
_RL sigma (imt) |
344 |
adcroft |
1.1 |
|
345 |
|
|
#ifdef ALLOW_KPP |
346 |
|
|
|
347 |
|
|
c local |
348 |
|
|
c------- |
349 |
|
|
c wm, ws : turbulent velocity scales (m/s) |
350 |
dimitri |
1.27 |
_RL wm(imt), ws(imt) |
351 |
|
|
_RL worka(imt) |
352 |
|
|
_RL bvsq, vtsq, hekman, hmonob, hlimit, tempVar1, tempVar2 |
353 |
adcroft |
1.1 |
integer i, kl |
354 |
|
|
|
355 |
dimitri |
1.27 |
_RL p5 , eins |
356 |
heimbach |
1.4 |
parameter ( p5=0.5, eins=1.0 ) |
357 |
|
|
_RL minusone |
358 |
|
|
parameter ( minusone=-1.0 ) |
359 |
adcroft |
1.1 |
|
360 |
|
|
c find bulk Richardson number at every grid level until > Ricr |
361 |
|
|
c |
362 |
|
|
c note: the reference depth is -epsilon/2.*zgrid(k), but the reference |
363 |
|
|
c u,v,t,s values are simply the surface layer values, |
364 |
|
|
c and not the averaged values from 0 to 2*ref.depth, |
365 |
|
|
c which is necessary for very fine grids(top layer < 2m thickness) |
366 |
|
|
c note: max values when Ricr never satisfied are |
367 |
|
|
c kbl(i)=kmtj(i) and hbl(i)=-zgrid(kmtj(i)) |
368 |
|
|
|
369 |
|
|
c initialize hbl and kbl to bottomed out values |
370 |
|
|
|
371 |
|
|
do i = 1, imt |
372 |
|
|
Rib(i,1) = 0.0 |
373 |
|
|
kbl(i) = max(kmtj(i),1) |
374 |
|
|
hbl(i) = -zgrid(kbl(i)) |
375 |
|
|
end do |
376 |
|
|
|
377 |
|
|
do kl = 2, Nr |
378 |
|
|
|
379 |
heimbach |
1.19 |
#ifdef ALLOW_AUTODIFF_TAMC |
380 |
|
|
kkppkey = (ikppkey-1)*Nr + kl |
381 |
|
|
#endif |
382 |
|
|
|
383 |
adcroft |
1.1 |
c compute bfsfc = sw fraction at hbf * zgrid |
384 |
|
|
|
385 |
|
|
do i = 1, imt |
386 |
heimbach |
1.4 |
worka(i) = zgrid(kl) |
387 |
adcroft |
1.1 |
end do |
388 |
heimbach |
1.19 |
CADJ store worka = comlev1_kpp_k, key = kkppkey |
389 |
adcroft |
1.1 |
call SWFRAC( |
390 |
jmc |
1.31 |
I imt, hbf, |
391 |
|
|
U worka, |
392 |
|
|
I myTime, myIter, myThid ) |
393 |
heimbach |
1.19 |
CADJ store worka = comlev1_kpp_k, key = kkppkey |
394 |
|
|
|
395 |
adcroft |
1.1 |
do i = 1, imt |
396 |
|
|
|
397 |
|
|
c use caseA as temporary array |
398 |
|
|
|
399 |
|
|
casea(i) = -zgrid(kl) |
400 |
|
|
|
401 |
|
|
c compute bfsfc= Bo + radiative contribution down to hbf * hbl |
402 |
|
|
|
403 |
heimbach |
1.4 |
bfsfc(i) = bo(i) + bosol(i)*(1. - worka(i)) |
404 |
dimitri |
1.33 |
|
405 |
|
|
end do |
406 |
|
|
#ifdef ALLOW_SALT_PLUME |
407 |
|
|
c compute bfsfc = plume fraction at hbf * zgrid |
408 |
|
|
do i = 1, imt |
409 |
|
|
worka(i) = zgrid(kl) |
410 |
|
|
enddo |
411 |
|
|
call PLUMEFRAC( |
412 |
|
|
I imt, hbf,SPDepth, |
413 |
|
|
U worka, |
414 |
|
|
I myTime, myIter, myThid) |
415 |
|
|
do i = 1, imt |
416 |
|
|
bfsfc(i) = bfsfc(i) + boplume(i)*(1. - worka(i)) |
417 |
|
|
enddo |
418 |
|
|
#endif /* ALLOW_SALT_PLUME */ |
419 |
|
|
|
420 |
|
|
do i = 1, imt |
421 |
adcroft |
1.1 |
stable(i) = p5 + sign(p5,bfsfc(i)) |
422 |
|
|
sigma(i) = stable(i) + (1. - stable(i)) * epsilon |
423 |
dimitri |
1.33 |
enddo |
424 |
adcroft |
1.1 |
|
425 |
|
|
c----------------------------------------------------------------------- |
426 |
|
|
c compute velocity scales at sigma, for hbl= caseA = -zgrid(kl) |
427 |
|
|
c----------------------------------------------------------------------- |
428 |
|
|
|
429 |
|
|
call wscale ( |
430 |
|
|
I sigma, casea, ustar, bfsfc, |
431 |
mlosch |
1.30 |
O wm, ws, myThid ) |
432 |
heimbach |
1.19 |
CADJ store ws = comlev1_kpp_k, key = kkppkey |
433 |
adcroft |
1.1 |
|
434 |
|
|
do i = 1, imt |
435 |
|
|
|
436 |
|
|
c----------------------------------------------------------------------- |
437 |
|
|
c compute the turbulent shear contribution to Rib |
438 |
|
|
c----------------------------------------------------------------------- |
439 |
|
|
|
440 |
|
|
bvsq = p5 * |
441 |
|
|
1 ( dbloc(i,kl-1) / (zgrid(kl-1)-zgrid(kl ))+ |
442 |
|
|
2 dbloc(i,kl ) / (zgrid(kl )-zgrid(kl+1))) |
443 |
|
|
|
444 |
|
|
if (bvsq .eq. 0.) then |
445 |
|
|
vtsq = 0.0 |
446 |
|
|
else |
447 |
|
|
vtsq = -zgrid(kl) * ws(i) * sqrt(abs(bvsq)) * Vtc |
448 |
|
|
endif |
449 |
|
|
|
450 |
|
|
c compute bulk Richardson number at new level |
451 |
|
|
c note: Ritop needs to be zero on land and ocean bottom |
452 |
|
|
c points so that the following if statement gets triggered |
453 |
|
|
c correctly; otherwise, hbl might get set to (big) negative |
454 |
|
|
c values, that might exceed the limit for the "exp" function |
455 |
|
|
c in "SWFRAC" |
456 |
|
|
|
457 |
|
|
c |
458 |
|
|
c rg: assignment to double precision variable to avoid overflow |
459 |
|
|
c ph: test for zero nominator |
460 |
|
|
c |
461 |
heimbach |
1.4 |
|
462 |
|
|
tempVar1 = dvsq(i,kl) + vtsq |
463 |
|
|
tempVar2 = max(tempVar1, phepsi) |
464 |
|
|
Rib(i,kl) = Ritop(i,kl) / tempVar2 |
465 |
|
|
|
466 |
adcroft |
1.1 |
end do |
467 |
|
|
end do |
468 |
heimbach |
1.10 |
|
469 |
|
|
cph( |
470 |
edhill |
1.17 |
cph without this store, there is a recomputation error for |
471 |
heimbach |
1.10 |
cph rib in adbldepth (probably partial recomputation problem) |
472 |
|
|
CADJ store Rib = comlev1_kpp |
473 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy),Nr /) |
474 |
heimbach |
1.10 |
cph) |
475 |
|
|
|
476 |
adcroft |
1.1 |
do kl = 2, Nr |
477 |
|
|
do i = 1, imt |
478 |
|
|
if (kbl(i).eq.kmtj(i) .and. Rib(i,kl).gt.Ricr) kbl(i) = kl |
479 |
|
|
end do |
480 |
|
|
end do |
481 |
|
|
|
482 |
heimbach |
1.2 |
CADJ store kbl = comlev1_kpp |
483 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
484 |
adcroft |
1.1 |
|
485 |
|
|
do i = 1, imt |
486 |
|
|
kl = kbl(i) |
487 |
|
|
c linearly interpolate to find hbl where Rib = Ricr |
488 |
|
|
if (kl.gt.1 .and. kl.lt.kmtj(i)) then |
489 |
heimbach |
1.4 |
tempVar1 = (Rib(i,kl)-Rib(i,kl-1)) |
490 |
adcroft |
1.1 |
hbl(i) = -zgrid(kl-1) + (zgrid(kl-1)-zgrid(kl)) * |
491 |
heimbach |
1.4 |
1 (Ricr - Rib(i,kl-1)) / tempVar1 |
492 |
adcroft |
1.1 |
endif |
493 |
|
|
end do |
494 |
|
|
|
495 |
heimbach |
1.2 |
CADJ store hbl = comlev1_kpp |
496 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
497 |
adcroft |
1.1 |
|
498 |
|
|
c----------------------------------------------------------------------- |
499 |
|
|
c find stability and buoyancy forcing for boundary layer |
500 |
|
|
c----------------------------------------------------------------------- |
501 |
|
|
|
502 |
heimbach |
1.4 |
do i = 1, imt |
503 |
|
|
worka(i) = hbl(i) |
504 |
|
|
end do |
505 |
heimbach |
1.19 |
CADJ store worka = comlev1_kpp |
506 |
|
|
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
507 |
adcroft |
1.1 |
call SWFRAC( |
508 |
jmc |
1.31 |
I imt, minusone, |
509 |
|
|
U worka, |
510 |
|
|
I myTime, myIter, myThid ) |
511 |
heimbach |
1.19 |
CADJ store worka = comlev1_kpp |
512 |
|
|
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
513 |
adcroft |
1.1 |
|
514 |
heimbach |
1.4 |
do i = 1, imt |
515 |
|
|
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
516 |
|
|
end do |
517 |
dimitri |
1.33 |
|
518 |
|
|
#ifdef ALLOW_SALT_PLUME |
519 |
|
|
do i = 1, imt |
520 |
|
|
worka(i) = hbl(i) |
521 |
|
|
enddo |
522 |
|
|
call PLUMEFRAC( |
523 |
|
|
I imt,minusone,SPDepth, |
524 |
|
|
U worka, |
525 |
|
|
I myTime, myIter, myThid ) |
526 |
|
|
do i = 1, imt |
527 |
|
|
bfsfc(i) = bfsfc(i) + boplume(i) * (1. - worka(i)) |
528 |
|
|
enddo |
529 |
|
|
#endif /* ALLOW_SALT_PLUME */ |
530 |
heimbach |
1.2 |
CADJ store bfsfc = comlev1_kpp |
531 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
532 |
heimbach |
1.2 |
|
533 |
heimbach |
1.4 |
c-- ensure bfsfc is never 0 |
534 |
adcroft |
1.1 |
do i = 1, imt |
535 |
|
|
stable(i) = p5 + sign( p5, bfsfc(i) ) |
536 |
heimbach |
1.4 |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
537 |
|
|
end do |
538 |
adcroft |
1.1 |
|
539 |
heimbach |
1.10 |
cph( |
540 |
|
|
cph added stable to store list to avoid extensive recomp. |
541 |
|
|
CADJ store bfsfc, stable = comlev1_kpp |
542 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
543 |
heimbach |
1.10 |
cph) |
544 |
adcroft |
1.1 |
|
545 |
|
|
c----------------------------------------------------------------------- |
546 |
|
|
c check hbl limits for hekman or hmonob |
547 |
|
|
c ph: test for zero nominator |
548 |
|
|
c----------------------------------------------------------------------- |
549 |
|
|
|
550 |
|
|
do i = 1, imt |
551 |
|
|
if (bfsfc(i) .gt. 0.0) then |
552 |
|
|
hekman = cekman * ustar(i) / max(abs(Coriol(i)),phepsi) |
553 |
|
|
hmonob = cmonob * ustar(i)*ustar(i)*ustar(i) |
554 |
|
|
& / vonk / bfsfc(i) |
555 |
|
|
hlimit = stable(i) * min(hekman,hmonob) |
556 |
|
|
& + (stable(i)-1.) * zgrid(Nr) |
557 |
|
|
hbl(i) = min(hbl(i),hlimit) |
558 |
heimbach |
1.4 |
end if |
559 |
|
|
end do |
560 |
|
|
CADJ store hbl = comlev1_kpp |
561 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
562 |
heimbach |
1.4 |
|
563 |
|
|
do i = 1, imt |
564 |
|
|
hbl(i) = max(hbl(i),minKPPhbl) |
565 |
adcroft |
1.1 |
kbl(i) = kmtj(i) |
566 |
|
|
end do |
567 |
|
|
|
568 |
heimbach |
1.2 |
CADJ store hbl = comlev1_kpp |
569 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
570 |
adcroft |
1.1 |
|
571 |
|
|
c----------------------------------------------------------------------- |
572 |
|
|
c find new kbl |
573 |
|
|
c----------------------------------------------------------------------- |
574 |
|
|
|
575 |
|
|
do kl = 2, Nr |
576 |
|
|
do i = 1, imt |
577 |
|
|
if ( kbl(i).eq.kmtj(i) .and. (-zgrid(kl)).gt.hbl(i) ) then |
578 |
|
|
kbl(i) = kl |
579 |
|
|
endif |
580 |
|
|
end do |
581 |
|
|
end do |
582 |
|
|
|
583 |
|
|
c----------------------------------------------------------------------- |
584 |
|
|
c find stability and buoyancy forcing for final hbl values |
585 |
|
|
c----------------------------------------------------------------------- |
586 |
|
|
|
587 |
heimbach |
1.4 |
do i = 1, imt |
588 |
|
|
worka(i) = hbl(i) |
589 |
|
|
end do |
590 |
heimbach |
1.19 |
CADJ store worka = comlev1_kpp |
591 |
|
|
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
592 |
adcroft |
1.1 |
call SWFRAC( |
593 |
heimbach |
1.4 |
I imt, minusone, |
594 |
jmc |
1.31 |
U worka, |
595 |
|
|
I myTime, myIter, myThid ) |
596 |
heimbach |
1.19 |
CADJ store worka = comlev1_kpp |
597 |
|
|
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
598 |
adcroft |
1.1 |
|
599 |
heimbach |
1.4 |
do i = 1, imt |
600 |
|
|
bfsfc(i) = bo(i) + bosol(i) * (1. - worka(i)) |
601 |
|
|
end do |
602 |
dimitri |
1.33 |
|
603 |
|
|
#ifdef ALLOW_SALT_PLUME |
604 |
|
|
do i = 1, imt |
605 |
|
|
worka(i) = hbl(i) |
606 |
|
|
enddo |
607 |
|
|
call PLUMEFRAC( |
608 |
|
|
I imt,minusone,SPDepth, |
609 |
|
|
U worka, |
610 |
|
|
I myTime, myIter, myThid ) |
611 |
|
|
do i = 1, imt |
612 |
|
|
bfsfc(i) = bfsfc(i) + boplume(i) * (1. - worka(i)) |
613 |
|
|
enddo |
614 |
|
|
#endif /* ALLOW_SALT_PLUME */ |
615 |
heimbach |
1.2 |
CADJ store bfsfc = comlev1_kpp |
616 |
heimbach |
1.16 |
CADJ & , key = ikppkey, shape = (/ (sNx+2*OLx)*(sNy+2*OLy) /) |
617 |
heimbach |
1.2 |
|
618 |
heimbach |
1.4 |
c-- ensures bfsfc is never 0 |
619 |
adcroft |
1.1 |
do i = 1, imt |
620 |
|
|
stable(i) = p5 + sign( p5, bfsfc(i) ) |
621 |
heimbach |
1.4 |
bfsfc(i) = sign(eins,bfsfc(i))*max(phepsi,abs(bfsfc(i))) |
622 |
adcroft |
1.1 |
end do |
623 |
|
|
|
624 |
|
|
c----------------------------------------------------------------------- |
625 |
|
|
c determine caseA and caseB |
626 |
|
|
c----------------------------------------------------------------------- |
627 |
|
|
|
628 |
|
|
do i = 1, imt |
629 |
|
|
casea(i) = p5 + |
630 |
|
|
1 sign(p5, -zgrid(kbl(i)) - p5*hwide(kbl(i)) - hbl(i)) |
631 |
|
|
end do |
632 |
|
|
|
633 |
|
|
#endif /* ALLOW_KPP */ |
634 |
|
|
|
635 |
|
|
return |
636 |
|
|
end |
637 |
|
|
|
638 |
|
|
c************************************************************************* |
639 |
|
|
|
640 |
|
|
subroutine wscale ( |
641 |
|
|
I sigma, hbl, ustar, bfsfc, |
642 |
mlosch |
1.30 |
O wm, ws, |
643 |
|
|
I myThid ) |
644 |
adcroft |
1.1 |
|
645 |
|
|
c compute turbulent velocity scales. |
646 |
|
|
c use a 2D-lookup table for wm and ws as functions of ustar and |
647 |
|
|
c zetahat (=vonk*sigma*hbl*bfsfc). |
648 |
|
|
c |
649 |
|
|
c note: the lookup table is only used for unstable conditions |
650 |
|
|
c (zehat.le.0), in the stable domain wm (=ws) gets computed |
651 |
|
|
c directly. |
652 |
|
|
c |
653 |
|
|
IMPLICIT NONE |
654 |
|
|
|
655 |
|
|
#include "SIZE.h" |
656 |
|
|
#include "KPP_PARAMS.h" |
657 |
|
|
|
658 |
|
|
c input |
659 |
|
|
c------ |
660 |
|
|
c sigma : normalized depth (d/hbl) |
661 |
|
|
c hbl : boundary layer depth (m) |
662 |
|
|
c ustar : surface friction velocity (m/s) |
663 |
|
|
c bfsfc : total surface buoyancy flux (m^2/s^3) |
664 |
mlosch |
1.30 |
c myThid : thread number for this instance of the routine |
665 |
|
|
integer myThid |
666 |
dimitri |
1.27 |
_RL sigma(imt) |
667 |
|
|
_RL hbl (imt) |
668 |
|
|
_RL ustar(imt) |
669 |
|
|
_RL bfsfc(imt) |
670 |
adcroft |
1.1 |
|
671 |
|
|
c output |
672 |
|
|
c-------- |
673 |
|
|
c wm, ws : turbulent velocity scales at sigma |
674 |
dimitri |
1.27 |
_RL wm(imt), ws(imt) |
675 |
adcroft |
1.1 |
|
676 |
|
|
#ifdef ALLOW_KPP |
677 |
|
|
|
678 |
|
|
c local |
679 |
|
|
c------ |
680 |
|
|
c zehat : = zeta * ustar**3 |
681 |
dimitri |
1.27 |
_RL zehat |
682 |
adcroft |
1.1 |
|
683 |
|
|
integer iz, izp1, ju, i, jup1 |
684 |
dimitri |
1.27 |
_RL udiff, zdiff, zfrac, ufrac, fzfrac, wam |
685 |
|
|
_RL wbm, was, wbs, u3, tempVar |
686 |
adcroft |
1.1 |
|
687 |
|
|
c----------------------------------------------------------------------- |
688 |
|
|
c use lookup table for zehat < zmax only; otherwise use |
689 |
|
|
c stable formulae |
690 |
|
|
c----------------------------------------------------------------------- |
691 |
|
|
|
692 |
|
|
do i = 1, imt |
693 |
|
|
zehat = vonk*sigma(i)*hbl(i)*bfsfc(i) |
694 |
|
|
|
695 |
|
|
if (zehat .le. zmax) then |
696 |
|
|
|
697 |
|
|
zdiff = zehat - zmin |
698 |
|
|
iz = int( zdiff / deltaz ) |
699 |
|
|
iz = min( iz, nni ) |
700 |
|
|
iz = max( iz, 0 ) |
701 |
|
|
izp1 = iz + 1 |
702 |
heimbach |
1.4 |
|
703 |
adcroft |
1.1 |
udiff = ustar(i) - umin |
704 |
|
|
ju = int( udiff / deltau ) |
705 |
|
|
ju = min( ju, nnj ) |
706 |
|
|
ju = max( ju, 0 ) |
707 |
|
|
jup1 = ju + 1 |
708 |
heimbach |
1.4 |
|
709 |
adcroft |
1.1 |
zfrac = zdiff / deltaz - float(iz) |
710 |
|
|
ufrac = udiff / deltau - float(ju) |
711 |
heimbach |
1.4 |
|
712 |
adcroft |
1.1 |
fzfrac= 1. - zfrac |
713 |
|
|
wam = fzfrac * wmt(iz,jup1) + zfrac * wmt(izp1,jup1) |
714 |
|
|
wbm = fzfrac * wmt(iz,ju ) + zfrac * wmt(izp1,ju ) |
715 |
|
|
wm(i) = (1.-ufrac) * wbm + ufrac * wam |
716 |
heimbach |
1.4 |
|
717 |
adcroft |
1.1 |
was = fzfrac * wst(iz,jup1) + zfrac * wst(izp1,jup1) |
718 |
|
|
wbs = fzfrac * wst(iz,ju ) + zfrac * wst(izp1,ju ) |
719 |
|
|
ws(i) = (1.-ufrac) * wbs + ufrac * was |
720 |
heimbach |
1.4 |
|
721 |
adcroft |
1.1 |
else |
722 |
heimbach |
1.4 |
|
723 |
|
|
u3 = ustar(i) * ustar(i) * ustar(i) |
724 |
|
|
tempVar = u3 + conc1 * zehat |
725 |
|
|
wm(i) = vonk * ustar(i) * u3 / tempVar |
726 |
adcroft |
1.1 |
ws(i) = wm(i) |
727 |
heimbach |
1.4 |
|
728 |
adcroft |
1.1 |
endif |
729 |
|
|
|
730 |
|
|
end do |
731 |
|
|
|
732 |
|
|
#endif /* ALLOW_KPP */ |
733 |
|
|
|
734 |
|
|
return |
735 |
|
|
end |
736 |
|
|
|
737 |
|
|
c************************************************************************* |
738 |
|
|
|
739 |
|
|
subroutine Ri_iwmix ( |
740 |
jmc |
1.31 |
I kmtj, shsq, dbloc, dblocSm, |
741 |
|
|
I diffusKzS, diffusKzT, |
742 |
|
|
I ikppkey, |
743 |
|
|
O diffus, |
744 |
|
|
I myThid ) |
745 |
adcroft |
1.1 |
|
746 |
|
|
c compute interior viscosity diffusivity coefficients due |
747 |
|
|
c to shear instability (dependent on a local Richardson number), |
748 |
|
|
c to background internal wave activity, and |
749 |
|
|
c to static instability (local Richardson number < 0). |
750 |
|
|
|
751 |
|
|
IMPLICIT NONE |
752 |
|
|
|
753 |
|
|
#include "SIZE.h" |
754 |
|
|
#include "EEPARAMS.h" |
755 |
|
|
#include "PARAMS.h" |
756 |
|
|
#include "KPP_PARAMS.h" |
757 |
|
|
|
758 |
|
|
c input |
759 |
|
|
c kmtj (imt) number of vertical layers on this row |
760 |
|
|
c shsq (imt,Nr) (local velocity shear)^2 ((m/s)^2) |
761 |
|
|
c dbloc (imt,Nr) local delta buoyancy (m/s^2) |
762 |
|
|
c dblocSm(imt,Nr) horizontally smoothed dbloc (m/s^2) |
763 |
dimitri |
1.26 |
c diffusKzS(imt,Nr)- background vertical diffusivity for scalars (m^2/s) |
764 |
|
|
c diffusKzT(imt,Nr)- background vertical diffusivity for theta (m^2/s) |
765 |
jmc |
1.31 |
c myThid :: My Thread Id. number |
766 |
dimitri |
1.27 |
integer kmtj (imt) |
767 |
|
|
_RL shsq (imt,Nr) |
768 |
|
|
_RL dbloc (imt,Nr) |
769 |
|
|
_RL dblocSm (imt,Nr) |
770 |
dimitri |
1.26 |
_RL diffusKzS(imt,Nr) |
771 |
|
|
_RL diffusKzT(imt,Nr) |
772 |
heimbach |
1.16 |
integer ikppkey |
773 |
jmc |
1.31 |
integer myThid |
774 |
adcroft |
1.1 |
|
775 |
|
|
c output |
776 |
|
|
c diffus(imt,0:Nrp1,1) vertical viscosivity coefficient (m^2/s) |
777 |
|
|
c diffus(imt,0:Nrp1,2) vertical scalar diffusivity (m^2/s) |
778 |
|
|
c diffus(imt,0:Nrp1,3) vertical temperature diffusivity (m^2/s) |
779 |
dimitri |
1.27 |
_RL diffus(imt,0:Nrp1,3) |
780 |
adcroft |
1.1 |
|
781 |
|
|
#ifdef ALLOW_KPP |
782 |
|
|
|
783 |
|
|
c local variables |
784 |
|
|
c Rig local Richardson number |
785 |
|
|
c fRi, fcon function of Rig |
786 |
dimitri |
1.27 |
_RL Rig |
787 |
|
|
_RL fRi, fcon |
788 |
|
|
_RL ratio |
789 |
dimitri |
1.13 |
integer i, ki |
790 |
dimitri |
1.27 |
_RL c1, c0 |
791 |
adcroft |
1.1 |
|
792 |
heimbach |
1.5 |
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
793 |
dimitri |
1.13 |
integer mr |
794 |
heimbach |
1.5 |
CADJ INIT kpp_ri_tape_mr = common, 1 |
795 |
|
|
#endif |
796 |
|
|
|
797 |
adcroft |
1.1 |
c constants |
798 |
|
|
c1 = 1.0 |
799 |
|
|
c0 = 0.0 |
800 |
|
|
|
801 |
|
|
c----------------------------------------------------------------------- |
802 |
|
|
c compute interior gradient Ri at all interfaces ki=1,Nr, (not surface) |
803 |
|
|
c use diffus(*,*,1) as temporary storage of Ri to be smoothed |
804 |
|
|
c use diffus(*,*,2) as temporary storage for Brunt-Vaisala squared |
805 |
|
|
c set values at bottom and below to nearest value above bottom |
806 |
heimbach |
1.5 |
#ifdef ALLOW_AUTODIFF_TAMC |
807 |
|
|
C break data flow dependence on diffus |
808 |
|
|
diffus(1,1,1) = 0.0 |
809 |
heimbach |
1.19 |
|
810 |
|
|
do ki = 1, Nr |
811 |
|
|
do i = 1, imt |
812 |
|
|
diffus(i,ki,1) = 0. |
813 |
|
|
diffus(i,ki,2) = 0. |
814 |
|
|
diffus(i,ki,3) = 0. |
815 |
|
|
enddo |
816 |
|
|
enddo |
817 |
heimbach |
1.5 |
#endif |
818 |
heimbach |
1.19 |
|
819 |
adcroft |
1.1 |
|
820 |
|
|
do ki = 1, Nr |
821 |
|
|
do i = 1, imt |
822 |
heimbach |
1.9 |
if (kmtj(i) .LE. 1 ) then |
823 |
adcroft |
1.1 |
diffus(i,ki,1) = 0. |
824 |
|
|
diffus(i,ki,2) = 0. |
825 |
|
|
elseif (ki .GE. kmtj(i)) then |
826 |
|
|
diffus(i,ki,1) = diffus(i,ki-1,1) |
827 |
|
|
diffus(i,ki,2) = diffus(i,ki-1,2) |
828 |
|
|
else |
829 |
|
|
diffus(i,ki,1) = dblocSm(i,ki) * (zgrid(ki)-zgrid(ki+1)) |
830 |
|
|
& / max( Shsq(i,ki), phepsi ) |
831 |
|
|
diffus(i,ki,2) = dbloc(i,ki) / (zgrid(ki)-zgrid(ki+1)) |
832 |
|
|
endif |
833 |
|
|
end do |
834 |
|
|
end do |
835 |
heimbach |
1.19 |
CADJ store diffus = comlev1_kpp, key = ikppkey |
836 |
adcroft |
1.1 |
|
837 |
|
|
c----------------------------------------------------------------------- |
838 |
|
|
c vertically smooth Ri |
839 |
heimbach |
1.5 |
#ifdef ALLOW_KPP_VERTICALLY_SMOOTH |
840 |
adcroft |
1.1 |
do mr = 1, num_v_smooth_Ri |
841 |
heimbach |
1.2 |
|
842 |
heimbach |
1.5 |
CADJ store diffus(:,:,1) = kpp_ri_tape_mr |
843 |
|
|
CADJ & , key=mr, shape=(/ (sNx+2*OLx)*(sNy+2*OLy),Nr+2 /) |
844 |
heimbach |
1.2 |
|
845 |
adcroft |
1.1 |
call z121 ( |
846 |
mlosch |
1.30 |
U diffus(1,0,1) |
847 |
|
|
I myThid ) |
848 |
adcroft |
1.1 |
end do |
849 |
heimbach |
1.5 |
#endif |
850 |
adcroft |
1.1 |
|
851 |
|
|
c----------------------------------------------------------------------- |
852 |
|
|
c after smoothing loop |
853 |
|
|
|
854 |
|
|
do ki = 1, Nr |
855 |
|
|
do i = 1, imt |
856 |
|
|
|
857 |
|
|
c evaluate f of Brunt-Vaisala squared for convection, store in fcon |
858 |
|
|
|
859 |
|
|
Rig = max ( diffus(i,ki,2) , BVSQcon ) |
860 |
|
|
ratio = min ( (BVSQcon - Rig) / BVSQcon, c1 ) |
861 |
|
|
fcon = c1 - ratio * ratio |
862 |
|
|
fcon = fcon * fcon * fcon |
863 |
|
|
|
864 |
|
|
c evaluate f of smooth Ri for shear instability, store in fRi |
865 |
|
|
|
866 |
|
|
Rig = max ( diffus(i,ki,1), c0 ) |
867 |
|
|
ratio = min ( Rig / Riinfty , c1 ) |
868 |
|
|
fRi = c1 - ratio * ratio |
869 |
|
|
fRi = fRi * fRi * fRi |
870 |
|
|
|
871 |
|
|
c ---------------------------------------------------------------------- |
872 |
|
|
c evaluate diffusivities and viscosity |
873 |
|
|
c mixing due to internal waves, and shear and static instability |
874 |
heimbach |
1.18 |
|
875 |
|
|
#ifndef EXCLUDE_KPP_SHEAR_MIX |
876 |
heimbach |
1.22 |
if ( .NOT. inAdMode ) then |
877 |
|
|
diffus(i,ki,1) = viscAr + fcon * difmcon + fRi * difm0 |
878 |
dimitri |
1.26 |
diffus(i,ki,2) = diffusKzS(i,ki)+fcon*difscon+fRi*difs0 |
879 |
|
|
diffus(i,ki,3) = diffusKzT(i,ki)+fcon*diftcon+fRi*dift0 |
880 |
heimbach |
1.22 |
else |
881 |
|
|
diffus(i,ki,1) = viscAr |
882 |
dimitri |
1.26 |
diffus(i,ki,2) = diffusKzS(i,ki) |
883 |
|
|
diffus(i,ki,3) = diffusKzT(i,ki) |
884 |
heimbach |
1.22 |
endif |
885 |
heimbach |
1.18 |
#else |
886 |
|
|
diffus(i,ki,1) = viscAr |
887 |
dimitri |
1.26 |
diffus(i,ki,2) = diffusKzS(i,ki) |
888 |
|
|
diffus(i,ki,3) = diffusKzT(i,ki) |
889 |
heimbach |
1.18 |
#endif |
890 |
adcroft |
1.1 |
|
891 |
|
|
end do |
892 |
|
|
end do |
893 |
|
|
|
894 |
|
|
c ------------------------------------------------------------------------ |
895 |
|
|
c set surface values to 0.0 |
896 |
|
|
|
897 |
|
|
do i = 1, imt |
898 |
|
|
diffus(i,0,1) = c0 |
899 |
|
|
diffus(i,0,2) = c0 |
900 |
|
|
diffus(i,0,3) = c0 |
901 |
|
|
end do |
902 |
|
|
|
903 |
|
|
#endif /* ALLOW_KPP */ |
904 |
|
|
|
905 |
|
|
return |
906 |
|
|
end |
907 |
|
|
|
908 |
|
|
c************************************************************************* |
909 |
|
|
|
910 |
|
|
subroutine z121 ( |
911 |
mlosch |
1.30 |
U v, |
912 |
|
|
I myThid ) |
913 |
adcroft |
1.1 |
|
914 |
|
|
c Apply 121 smoothing in k to 2-d array V(i,k=1,Nr) |
915 |
|
|
c top (0) value is used as a dummy |
916 |
|
|
c bottom (Nrp1) value is set to input value from above. |
917 |
|
|
|
918 |
heimbach |
1.2 |
c Note that it is important to exclude from the smoothing any points |
919 |
adcroft |
1.1 |
c that are outside the range of the K(Ri) scheme, ie. >0.8, or <0.0. |
920 |
heimbach |
1.2 |
c Otherwise, there is interference with other physics, especially |
921 |
adcroft |
1.1 |
c penetrative convection. |
922 |
|
|
|
923 |
|
|
IMPLICIT NONE |
924 |
|
|
#include "SIZE.h" |
925 |
|
|
#include "KPP_PARAMS.h" |
926 |
|
|
|
927 |
|
|
c input/output |
928 |
|
|
c------------- |
929 |
|
|
c v : 2-D array to be smoothed in Nrp1 direction |
930 |
mlosch |
1.30 |
c myThid: thread number for this instance of the routine |
931 |
|
|
integer myThid |
932 |
dimitri |
1.27 |
_RL v(imt,0:Nrp1) |
933 |
adcroft |
1.1 |
|
934 |
|
|
#ifdef ALLOW_KPP |
935 |
|
|
|
936 |
|
|
c local |
937 |
dimitri |
1.27 |
_RL zwork, zflag |
938 |
|
|
_RL KRi_range(1:Nrp1) |
939 |
adcroft |
1.1 |
integer i, k, km1, kp1 |
940 |
|
|
|
941 |
dimitri |
1.27 |
_RL p0 , p25 , p5 , p2 |
942 |
heimbach |
1.2 |
parameter ( p0 = 0.0, p25 = 0.25, p5 = 0.5, p2 = 2.0 ) |
943 |
|
|
|
944 |
|
|
KRi_range(Nrp1) = p0 |
945 |
adcroft |
1.1 |
|
946 |
heimbach |
1.2 |
#ifdef ALLOW_AUTODIFF_TAMC |
947 |
|
|
C-- dummy assignment to end declaration part for TAMC |
948 |
|
|
i = 0 |
949 |
|
|
|
950 |
|
|
C-- HPF directive to help TAMC |
951 |
|
|
CHPF$ INDEPENDENT |
952 |
heimbach |
1.4 |
CADJ INIT z121tape = common, Nr |
953 |
heimbach |
1.2 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
954 |
heimbach |
1.4 |
|
955 |
adcroft |
1.1 |
do i = 1, imt |
956 |
|
|
|
957 |
heimbach |
1.4 |
k = 1 |
958 |
|
|
CADJ STORE v(i,k) = z121tape |
959 |
adcroft |
1.1 |
v(i,Nrp1) = v(i,Nr) |
960 |
|
|
|
961 |
|
|
do k = 1, Nr |
962 |
|
|
KRi_range(k) = p5 + SIGN(p5,v(i,k)) |
963 |
|
|
KRi_range(k) = KRi_range(k) * |
964 |
|
|
& ( p5 + SIGN(p5,(Riinfty-v(i,k))) ) |
965 |
|
|
end do |
966 |
|
|
|
967 |
|
|
zwork = KRi_range(1) * v(i,1) |
968 |
|
|
v(i,1) = p2 * v(i,1) + |
969 |
|
|
& KRi_range(1) * KRi_range(2) * v(i,2) |
970 |
|
|
zflag = p2 + KRi_range(1) * KRi_range(2) |
971 |
|
|
v(i,1) = v(i,1) / zflag |
972 |
|
|
|
973 |
|
|
do k = 2, Nr |
974 |
heimbach |
1.2 |
CADJ STORE v(i,k), zwork = z121tape |
975 |
adcroft |
1.1 |
km1 = k - 1 |
976 |
|
|
kp1 = k + 1 |
977 |
|
|
zflag = v(i,k) |
978 |
|
|
v(i,k) = p2 * v(i,k) + |
979 |
|
|
& KRi_range(k) * KRi_range(kp1) * v(i,kp1) + |
980 |
|
|
& KRi_range(k) * zwork |
981 |
|
|
zwork = KRi_range(k) * zflag |
982 |
|
|
zflag = p2 + KRi_range(k)*(KRi_range(kp1)+KRi_range(km1)) |
983 |
|
|
v(i,k) = v(i,k) / zflag |
984 |
|
|
end do |
985 |
|
|
|
986 |
|
|
end do |
987 |
|
|
|
988 |
|
|
#endif /* ALLOW_KPP */ |
989 |
|
|
|
990 |
|
|
return |
991 |
|
|
end |
992 |
|
|
|
993 |
|
|
c************************************************************************* |
994 |
|
|
|
995 |
heimbach |
1.4 |
subroutine smooth_horiz ( |
996 |
adcroft |
1.1 |
I k, bi, bj, |
997 |
mlosch |
1.30 |
U fld, |
998 |
|
|
I myThid ) |
999 |
adcroft |
1.1 |
|
1000 |
heimbach |
1.4 |
c Apply horizontal smoothing to global _RL 2-D array |
1001 |
adcroft |
1.1 |
|
1002 |
|
|
IMPLICIT NONE |
1003 |
|
|
#include "SIZE.h" |
1004 |
jmc |
1.20 |
#include "GRID.h" |
1005 |
adcroft |
1.1 |
#include "KPP_PARAMS.h" |
1006 |
|
|
|
1007 |
|
|
c input |
1008 |
heimbach |
1.4 |
c bi, bj : array indices |
1009 |
|
|
c k : vertical index used for masking |
1010 |
mlosch |
1.30 |
c myThid : thread number for this instance of the routine |
1011 |
|
|
INTEGER myThid |
1012 |
adcroft |
1.1 |
integer k, bi, bj |
1013 |
|
|
|
1014 |
heimbach |
1.4 |
c input/output |
1015 |
|
|
c fld : 2-D array to be smoothed |
1016 |
|
|
_RL fld( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1017 |
adcroft |
1.1 |
|
1018 |
|
|
#ifdef ALLOW_KPP |
1019 |
|
|
|
1020 |
|
|
c local |
1021 |
|
|
integer i, j, im1, ip1, jm1, jp1 |
1022 |
|
|
_RL tempVar |
1023 |
heimbach |
1.4 |
_RL fld_tmp( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1024 |
adcroft |
1.1 |
|
1025 |
heimbach |
1.4 |
integer imin , imax , jmin , jmax |
1026 |
|
|
parameter(imin=2-OLx, imax=sNx+OLx-1, jmin=2-OLy, jmax=sNy+OLy-1) |
1027 |
adcroft |
1.1 |
|
1028 |
heimbach |
1.4 |
_RL p0 , p5 , p25 , p125 , p0625 |
1029 |
adcroft |
1.1 |
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
1030 |
|
|
|
1031 |
|
|
DO j = jmin, jmax |
1032 |
|
|
jm1 = j-1 |
1033 |
|
|
jp1 = j+1 |
1034 |
|
|
DO i = imin, imax |
1035 |
|
|
im1 = i-1 |
1036 |
|
|
ip1 = i+1 |
1037 |
|
|
tempVar = |
1038 |
jmc |
1.20 |
& p25 * maskC(i ,j ,k,bi,bj) + |
1039 |
|
|
& p125 * ( maskC(im1,j ,k,bi,bj) + |
1040 |
|
|
& maskC(ip1,j ,k,bi,bj) + |
1041 |
|
|
& maskC(i ,jm1,k,bi,bj) + |
1042 |
|
|
& maskC(i ,jp1,k,bi,bj) ) + |
1043 |
|
|
& p0625 * ( maskC(im1,jm1,k,bi,bj) + |
1044 |
|
|
& maskC(im1,jp1,k,bi,bj) + |
1045 |
|
|
& maskC(ip1,jm1,k,bi,bj) + |
1046 |
|
|
& maskC(ip1,jp1,k,bi,bj) ) |
1047 |
adcroft |
1.1 |
IF ( tempVar .GE. p25 ) THEN |
1048 |
|
|
fld_tmp(i,j) = ( |
1049 |
jmc |
1.20 |
& p25 * fld(i ,j )*maskC(i ,j ,k,bi,bj) + |
1050 |
|
|
& p125 *(fld(im1,j )*maskC(im1,j ,k,bi,bj) + |
1051 |
|
|
& fld(ip1,j )*maskC(ip1,j ,k,bi,bj) + |
1052 |
|
|
& fld(i ,jm1)*maskC(i ,jm1,k,bi,bj) + |
1053 |
|
|
& fld(i ,jp1)*maskC(i ,jp1,k,bi,bj))+ |
1054 |
|
|
& p0625*(fld(im1,jm1)*maskC(im1,jm1,k,bi,bj) + |
1055 |
|
|
& fld(im1,jp1)*maskC(im1,jp1,k,bi,bj) + |
1056 |
|
|
& fld(ip1,jm1)*maskC(ip1,jm1,k,bi,bj) + |
1057 |
|
|
& fld(ip1,jp1)*maskC(ip1,jp1,k,bi,bj))) |
1058 |
adcroft |
1.1 |
& / tempVar |
1059 |
|
|
ELSE |
1060 |
heimbach |
1.4 |
fld_tmp(i,j) = fld(i,j) |
1061 |
adcroft |
1.1 |
ENDIF |
1062 |
|
|
ENDDO |
1063 |
|
|
ENDDO |
1064 |
|
|
|
1065 |
|
|
c transfer smoothed field to output array |
1066 |
|
|
DO j = jmin, jmax |
1067 |
|
|
DO i = imin, imax |
1068 |
heimbach |
1.4 |
fld(i,j) = fld_tmp(i,j) |
1069 |
adcroft |
1.1 |
ENDDO |
1070 |
|
|
ENDDO |
1071 |
|
|
|
1072 |
|
|
#endif /* ALLOW_KPP */ |
1073 |
|
|
|
1074 |
|
|
return |
1075 |
|
|
end |
1076 |
|
|
|
1077 |
|
|
c************************************************************************* |
1078 |
|
|
|
1079 |
|
|
subroutine blmix ( |
1080 |
|
|
I ustar, bfsfc, hbl, stable, casea, diffus, kbl |
1081 |
heimbach |
1.16 |
O , dkm1, blmc, ghat, sigma, ikppkey |
1082 |
jmc |
1.31 |
I , myThid ) |
1083 |
adcroft |
1.1 |
|
1084 |
|
|
c mixing coefficients within boundary layer depend on surface |
1085 |
|
|
c forcing and the magnitude and gradient of interior mixing below |
1086 |
|
|
c the boundary layer ("matching"). |
1087 |
|
|
c |
1088 |
|
|
c caution: if mixing bottoms out at hbl = -zgrid(Nr) then |
1089 |
|
|
c fictitious layer at Nrp1 is needed with small but finite width |
1090 |
|
|
c hwide(Nrp1) (eg. epsln = 1.e-20). |
1091 |
|
|
c |
1092 |
|
|
IMPLICIT NONE |
1093 |
|
|
|
1094 |
|
|
#include "SIZE.h" |
1095 |
|
|
#include "KPP_PARAMS.h" |
1096 |
|
|
|
1097 |
|
|
c input |
1098 |
|
|
c ustar (imt) surface friction velocity (m/s) |
1099 |
|
|
c bfsfc (imt) surface buoyancy forcing (m^2/s^3) |
1100 |
|
|
c hbl (imt) boundary layer depth (m) |
1101 |
|
|
c stable(imt) = 1 in stable forcing |
1102 |
|
|
c casea (imt) = 1 in case A |
1103 |
|
|
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1104 |
dimitri |
1.27 |
c kbl (imt) -1 of first grid level below hbl |
1105 |
mlosch |
1.30 |
c myThid thread number for this instance of the routine |
1106 |
|
|
integer myThid |
1107 |
dimitri |
1.27 |
_RL ustar (imt) |
1108 |
|
|
_RL bfsfc (imt) |
1109 |
|
|
_RL hbl (imt) |
1110 |
|
|
_RL stable(imt) |
1111 |
|
|
_RL casea (imt) |
1112 |
|
|
_RL diffus(imt,0:Nrp1,mdiff) |
1113 |
adcroft |
1.1 |
integer kbl(imt) |
1114 |
|
|
|
1115 |
|
|
c output |
1116 |
|
|
c dkm1 (imt,mdiff) boundary layer difs at kbl-1 level |
1117 |
|
|
c blmc (imt,Nr,mdiff) boundary layer mixing coefficients (m^2/s) |
1118 |
|
|
c ghat (imt,Nr) nonlocal scalar transport |
1119 |
|
|
c sigma(imt) normalized depth (d / hbl) |
1120 |
dimitri |
1.27 |
_RL dkm1 (imt,mdiff) |
1121 |
|
|
_RL blmc (imt,Nr,mdiff) |
1122 |
|
|
_RL ghat (imt,Nr) |
1123 |
|
|
_RL sigma(imt) |
1124 |
heimbach |
1.19 |
integer ikppkey, kkppkey |
1125 |
adcroft |
1.1 |
|
1126 |
|
|
#ifdef ALLOW_KPP |
1127 |
|
|
|
1128 |
|
|
c local |
1129 |
heimbach |
1.2 |
c gat1*(imt) shape function at sigma = 1 |
1130 |
|
|
c dat1*(imt) derivative of shape function at sigma = 1 |
1131 |
adcroft |
1.1 |
c ws(imt), wm(imt) turbulent velocity scales (m/s) |
1132 |
dimitri |
1.27 |
_RL gat1m(imt), gat1s(imt), gat1t(imt) |
1133 |
|
|
_RL dat1m(imt), dat1s(imt), dat1t(imt) |
1134 |
|
|
_RL ws(imt), wm(imt) |
1135 |
adcroft |
1.1 |
integer i, kn, ki |
1136 |
dimitri |
1.27 |
_RL R, dvdzup, dvdzdn, viscp |
1137 |
|
|
_RL difsp, diftp, visch, difsh, difth |
1138 |
|
|
_RL f1, sig, a1, a2, a3, delhat |
1139 |
|
|
_RL Gm, Gs, Gt |
1140 |
|
|
_RL tempVar |
1141 |
adcroft |
1.1 |
|
1142 |
dimitri |
1.27 |
_RL p0 , eins |
1143 |
heimbach |
1.2 |
parameter (p0=0.0, eins=1.0) |
1144 |
adcroft |
1.1 |
|
1145 |
|
|
c----------------------------------------------------------------------- |
1146 |
|
|
c compute velocity scales at hbl |
1147 |
|
|
c----------------------------------------------------------------------- |
1148 |
|
|
|
1149 |
|
|
do i = 1, imt |
1150 |
|
|
sigma(i) = stable(i) * 1.0 + (1. - stable(i)) * epsilon |
1151 |
|
|
end do |
1152 |
|
|
|
1153 |
heimbach |
1.19 |
CADJ STORE sigma = comlev1_kpp, key = ikppkey |
1154 |
adcroft |
1.1 |
call wscale ( |
1155 |
|
|
I sigma, hbl, ustar, bfsfc, |
1156 |
mlosch |
1.30 |
O wm, ws, myThid ) |
1157 |
heimbach |
1.19 |
CADJ STORE wm = comlev1_kpp, key = ikppkey |
1158 |
|
|
CADJ STORE ws = comlev1_kpp, key = ikppkey |
1159 |
adcroft |
1.1 |
|
1160 |
|
|
do i = 1, imt |
1161 |
heimbach |
1.4 |
wm(i) = sign(eins,wm(i))*max(phepsi,abs(wm(i))) |
1162 |
|
|
ws(i) = sign(eins,ws(i))*max(phepsi,abs(ws(i))) |
1163 |
|
|
end do |
1164 |
heimbach |
1.16 |
CADJ STORE wm = comlev1_kpp, key = ikppkey |
1165 |
|
|
CADJ STORE ws = comlev1_kpp, key = ikppkey |
1166 |
heimbach |
1.4 |
|
1167 |
|
|
do i = 1, imt |
1168 |
adcroft |
1.1 |
|
1169 |
|
|
kn = int(caseA(i)+phepsi) *(kbl(i) -1) + |
1170 |
|
|
$ (1 - int(caseA(i)+phepsi)) * kbl(i) |
1171 |
|
|
|
1172 |
|
|
c----------------------------------------------------------------------- |
1173 |
|
|
c find the interior viscosities and derivatives at hbl(i) |
1174 |
|
|
c----------------------------------------------------------------------- |
1175 |
|
|
|
1176 |
|
|
delhat = 0.5*hwide(kn) - zgrid(kn) - hbl(i) |
1177 |
|
|
R = 1.0 - delhat / hwide(kn) |
1178 |
|
|
dvdzup = (diffus(i,kn-1,1) - diffus(i,kn ,1)) / hwide(kn) |
1179 |
|
|
dvdzdn = (diffus(i,kn ,1) - diffus(i,kn+1,1)) / hwide(kn+1) |
1180 |
|
|
viscp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1181 |
|
|
1 R * (dvdzdn + abs(dvdzdn)) ) |
1182 |
|
|
|
1183 |
|
|
dvdzup = (diffus(i,kn-1,2) - diffus(i,kn ,2)) / hwide(kn) |
1184 |
|
|
dvdzdn = (diffus(i,kn ,2) - diffus(i,kn+1,2)) / hwide(kn+1) |
1185 |
|
|
difsp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1186 |
|
|
1 R * (dvdzdn + abs(dvdzdn)) ) |
1187 |
|
|
|
1188 |
|
|
dvdzup = (diffus(i,kn-1,3) - diffus(i,kn ,3)) / hwide(kn) |
1189 |
|
|
dvdzdn = (diffus(i,kn ,3) - diffus(i,kn+1,3)) / hwide(kn+1) |
1190 |
|
|
diftp = 0.5 * ( (1.-R) * (dvdzup + abs(dvdzup)) + |
1191 |
|
|
1 R * (dvdzdn + abs(dvdzdn)) ) |
1192 |
|
|
|
1193 |
|
|
visch = diffus(i,kn,1) + viscp * delhat |
1194 |
|
|
difsh = diffus(i,kn,2) + difsp * delhat |
1195 |
|
|
difth = diffus(i,kn,3) + diftp * delhat |
1196 |
|
|
|
1197 |
|
|
f1 = stable(i) * conc1 * bfsfc(i) / |
1198 |
|
|
& max(ustar(i)**4,phepsi) |
1199 |
heimbach |
1.2 |
gat1m(i) = visch / hbl(i) / wm(i) |
1200 |
|
|
dat1m(i) = -viscp / wm(i) + f1 * visch |
1201 |
adcroft |
1.1 |
|
1202 |
heimbach |
1.2 |
gat1s(i) = difsh / hbl(i) / ws(i) |
1203 |
|
|
dat1s(i) = -difsp / ws(i) + f1 * difsh |
1204 |
adcroft |
1.1 |
|
1205 |
heimbach |
1.2 |
gat1t(i) = difth / hbl(i) / ws(i) |
1206 |
|
|
dat1t(i) = -diftp / ws(i) + f1 * difth |
1207 |
adcroft |
1.1 |
|
1208 |
|
|
end do |
1209 |
heimbach |
1.19 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1210 |
|
|
CADJ STORE gat1m = comlev1_kpp, key = ikppkey |
1211 |
|
|
CADJ STORE gat1s = comlev1_kpp, key = ikppkey |
1212 |
|
|
CADJ STORE gat1t = comlev1_kpp, key = ikppkey |
1213 |
|
|
CADJ STORE dat1m = comlev1_kpp, key = ikppkey |
1214 |
|
|
CADJ STORE dat1s = comlev1_kpp, key = ikppkey |
1215 |
|
|
CADJ STORE dat1t = comlev1_kpp, key = ikppkey |
1216 |
|
|
#endif |
1217 |
|
|
do i = 1, imt |
1218 |
|
|
dat1m(i) = min(dat1m(i),p0) |
1219 |
|
|
dat1s(i) = min(dat1s(i),p0) |
1220 |
|
|
dat1t(i) = min(dat1t(i),p0) |
1221 |
|
|
end do |
1222 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1223 |
|
|
CADJ STORE dat1m = comlev1_kpp, key = ikppkey |
1224 |
|
|
CADJ STORE dat1s = comlev1_kpp, key = ikppkey |
1225 |
|
|
CADJ STORE dat1t = comlev1_kpp, key = ikppkey |
1226 |
|
|
#endif |
1227 |
adcroft |
1.1 |
|
1228 |
|
|
do ki = 1, Nr |
1229 |
|
|
|
1230 |
heimbach |
1.19 |
#ifdef ALLOW_AUTODIFF_TAMC |
1231 |
|
|
kkppkey = (ikppkey-1)*Nr + ki |
1232 |
|
|
#endif |
1233 |
|
|
|
1234 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
1235 |
|
|
c compute turbulent velocity scales on the interfaces |
1236 |
|
|
c----------------------------------------------------------------------- |
1237 |
|
|
|
1238 |
|
|
do i = 1, imt |
1239 |
|
|
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1240 |
|
|
sigma(i) = stable(i)*sig + (1.-stable(i))*min(sig,epsilon) |
1241 |
|
|
end do |
1242 |
heimbach |
1.19 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1243 |
|
|
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1244 |
|
|
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1245 |
|
|
#endif |
1246 |
|
|
CADJ STORE sigma = comlev1_kpp_k, key = kkppkey |
1247 |
adcroft |
1.1 |
call wscale ( |
1248 |
|
|
I sigma, hbl, ustar, bfsfc, |
1249 |
mlosch |
1.30 |
O wm, ws, myThid ) |
1250 |
heimbach |
1.19 |
CADJ STORE wm = comlev1_kpp_k, key = kkppkey |
1251 |
|
|
CADJ STORE ws = comlev1_kpp_k, key = kkppkey |
1252 |
adcroft |
1.1 |
|
1253 |
|
|
c----------------------------------------------------------------------- |
1254 |
|
|
c compute the dimensionless shape functions at the interfaces |
1255 |
|
|
c----------------------------------------------------------------------- |
1256 |
|
|
|
1257 |
|
|
do i = 1, imt |
1258 |
|
|
sig = (-zgrid(ki) + 0.5 * hwide(ki)) / hbl(i) |
1259 |
|
|
a1 = sig - 2. |
1260 |
|
|
a2 = 3. - 2. * sig |
1261 |
|
|
a3 = sig - 1. |
1262 |
|
|
|
1263 |
heimbach |
1.2 |
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1264 |
|
|
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1265 |
|
|
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1266 |
adcroft |
1.1 |
|
1267 |
|
|
c----------------------------------------------------------------------- |
1268 |
|
|
c compute boundary layer diffusivities at the interfaces |
1269 |
|
|
c----------------------------------------------------------------------- |
1270 |
|
|
|
1271 |
heimbach |
1.2 |
blmc(i,ki,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1272 |
adcroft |
1.1 |
blmc(i,ki,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1273 |
|
|
blmc(i,ki,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1274 |
|
|
|
1275 |
|
|
c----------------------------------------------------------------------- |
1276 |
|
|
c nonlocal transport term = ghat * <ws>o |
1277 |
|
|
c----------------------------------------------------------------------- |
1278 |
heimbach |
1.4 |
|
1279 |
|
|
tempVar = ws(i) * hbl(i) |
1280 |
|
|
ghat(i,ki) = (1.-stable(i)) * cg / max(phepsi,tempVar) |
1281 |
adcroft |
1.1 |
|
1282 |
|
|
end do |
1283 |
|
|
end do |
1284 |
|
|
|
1285 |
|
|
c----------------------------------------------------------------------- |
1286 |
|
|
c find diffusivities at kbl-1 grid level |
1287 |
|
|
c----------------------------------------------------------------------- |
1288 |
|
|
|
1289 |
|
|
do i = 1, imt |
1290 |
|
|
sig = -zgrid(kbl(i)-1) / hbl(i) |
1291 |
|
|
sigma(i) = stable(i) * sig |
1292 |
|
|
& + (1. - stable(i)) * min(sig,epsilon) |
1293 |
|
|
end do |
1294 |
|
|
|
1295 |
heimbach |
1.19 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1296 |
|
|
CADJ STORE wm = comlev1_kpp, key = ikppkey |
1297 |
|
|
CADJ STORE ws = comlev1_kpp, key = ikppkey |
1298 |
|
|
#endif |
1299 |
|
|
CADJ STORE sigma = comlev1_kpp, key = ikppkey |
1300 |
adcroft |
1.1 |
call wscale ( |
1301 |
|
|
I sigma, hbl, ustar, bfsfc, |
1302 |
mlosch |
1.30 |
O wm, ws, myThid ) |
1303 |
heimbach |
1.19 |
CADJ STORE wm = comlev1_kpp, key = ikppkey |
1304 |
|
|
CADJ STORE ws = comlev1_kpp, key = ikppkey |
1305 |
adcroft |
1.1 |
|
1306 |
|
|
do i = 1, imt |
1307 |
|
|
sig = -zgrid(kbl(i)-1) / hbl(i) |
1308 |
|
|
a1 = sig - 2. |
1309 |
|
|
a2 = 3. - 2. * sig |
1310 |
|
|
a3 = sig - 1. |
1311 |
heimbach |
1.2 |
Gm = a1 + a2 * gat1m(i) + a3 * dat1m(i) |
1312 |
|
|
Gs = a1 + a2 * gat1s(i) + a3 * dat1s(i) |
1313 |
|
|
Gt = a1 + a2 * gat1t(i) + a3 * dat1t(i) |
1314 |
|
|
dkm1(i,1) = hbl(i) * wm(i) * sig * (1. + sig * Gm) |
1315 |
adcroft |
1.1 |
dkm1(i,2) = hbl(i) * ws(i) * sig * (1. + sig * Gs) |
1316 |
|
|
dkm1(i,3) = hbl(i) * ws(i) * sig * (1. + sig * Gt) |
1317 |
|
|
end do |
1318 |
|
|
|
1319 |
|
|
#endif /* ALLOW_KPP */ |
1320 |
|
|
|
1321 |
|
|
return |
1322 |
|
|
end |
1323 |
|
|
|
1324 |
|
|
c************************************************************************* |
1325 |
|
|
|
1326 |
|
|
subroutine enhance ( |
1327 |
|
|
I dkm1, hbl, kbl, diffus, casea |
1328 |
|
|
U , ghat |
1329 |
|
|
O , blmc |
1330 |
mlosch |
1.30 |
& , myThid ) |
1331 |
adcroft |
1.1 |
|
1332 |
|
|
c enhance the diffusivity at the kbl-.5 interface |
1333 |
|
|
|
1334 |
|
|
IMPLICIT NONE |
1335 |
|
|
|
1336 |
|
|
#include "SIZE.h" |
1337 |
|
|
#include "KPP_PARAMS.h" |
1338 |
|
|
|
1339 |
|
|
c input |
1340 |
|
|
c dkm1(imt,mdiff) bl diffusivity at kbl-1 grid level |
1341 |
|
|
c hbl(imt) boundary layer depth (m) |
1342 |
|
|
c kbl(imt) grid above hbl |
1343 |
|
|
c diffus(imt,0:Nrp1,mdiff) vertical diffusivities (m^2/s) |
1344 |
|
|
c casea(imt) = 1 in caseA, = 0 in case B |
1345 |
mlosch |
1.30 |
c myThid thread number for this instance of the routine |
1346 |
|
|
integer myThid |
1347 |
dimitri |
1.27 |
_RL dkm1 (imt,mdiff) |
1348 |
|
|
_RL hbl (imt) |
1349 |
adcroft |
1.1 |
integer kbl (imt) |
1350 |
dimitri |
1.27 |
_RL diffus(imt,0:Nrp1,mdiff) |
1351 |
|
|
_RL casea (imt) |
1352 |
adcroft |
1.1 |
|
1353 |
|
|
c input/output |
1354 |
|
|
c nonlocal transport, modified ghat at kbl(i)-1 interface (s/m**2) |
1355 |
dimitri |
1.27 |
_RL ghat (imt,Nr) |
1356 |
adcroft |
1.1 |
|
1357 |
|
|
c output |
1358 |
|
|
c enhanced bound. layer mixing coeff. |
1359 |
dimitri |
1.27 |
_RL blmc (imt,Nr,mdiff) |
1360 |
adcroft |
1.1 |
|
1361 |
|
|
#ifdef ALLOW_KPP |
1362 |
|
|
|
1363 |
|
|
c local |
1364 |
|
|
c fraction hbl lies beteen zgrid neighbors |
1365 |
dimitri |
1.27 |
_RL delta |
1366 |
adcroft |
1.1 |
integer ki, i, md |
1367 |
dimitri |
1.27 |
_RL dkmp5, dstar |
1368 |
adcroft |
1.1 |
|
1369 |
|
|
do i = 1, imt |
1370 |
|
|
ki = kbl(i)-1 |
1371 |
|
|
if ((ki .ge. 1) .and. (ki .lt. Nr)) then |
1372 |
|
|
delta = (hbl(i) + zgrid(ki)) / (zgrid(ki) - zgrid(ki+1)) |
1373 |
|
|
do md = 1, mdiff |
1374 |
|
|
dkmp5 = casea(i) * diffus(i,ki,md) + |
1375 |
|
|
1 (1.- casea(i)) * blmc (i,ki,md) |
1376 |
|
|
dstar = (1.- delta)**2 * dkm1(i,md) |
1377 |
|
|
& + delta**2 * dkmp5 |
1378 |
|
|
blmc(i,ki,md) = (1.- delta)*diffus(i,ki,md) |
1379 |
|
|
& + delta*dstar |
1380 |
|
|
end do |
1381 |
|
|
ghat(i,ki) = (1.- casea(i)) * ghat(i,ki) |
1382 |
|
|
endif |
1383 |
|
|
end do |
1384 |
|
|
|
1385 |
|
|
#endif /* ALLOW_KPP */ |
1386 |
|
|
|
1387 |
|
|
return |
1388 |
|
|
end |
1389 |
|
|
|
1390 |
|
|
c************************************************************************* |
1391 |
|
|
|
1392 |
|
|
SUBROUTINE STATEKPP ( |
1393 |
mlosch |
1.30 |
O RHO1, DBLOC, DBSFC, TTALPHA, SSBETA, |
1394 |
|
|
I ikppkey, bi, bj, myThid ) |
1395 |
adcroft |
1.1 |
c |
1396 |
|
|
c----------------------------------------------------------------------- |
1397 |
|
|
c "statekpp" computes all necessary input arrays |
1398 |
|
|
c for the kpp mixing scheme |
1399 |
|
|
c |
1400 |
|
|
c input: |
1401 |
|
|
c bi, bj = array indices on which to apply calculations |
1402 |
|
|
c |
1403 |
|
|
c output: |
1404 |
|
|
c rho1 = potential density of surface layer (kg/m^3) |
1405 |
|
|
c dbloc = local buoyancy gradient at Nr interfaces |
1406 |
|
|
c g/rho{k+1,k+1} * [ drho{k,k+1}-drho{k+1,k+1} ] (m/s^2) |
1407 |
|
|
c dbsfc = buoyancy difference with respect to the surface |
1408 |
|
|
c g * [ drho{1,k}/rho{1,k} - drho{k,k}/rho{k,k} ] (m/s^2) |
1409 |
|
|
c ttalpha= thermal expansion coefficient without 1/rho factor |
1410 |
|
|
c d(rho) / d(potential temperature) (kg/m^3/C) |
1411 |
|
|
c ssbeta = salt expansion coefficient without 1/rho factor |
1412 |
|
|
c d(rho) / d(salinity) (kg/m^3/PSU) |
1413 |
|
|
c |
1414 |
|
|
c see also subroutines find_rho.F find_alpha.F find_beta.F |
1415 |
|
|
c |
1416 |
|
|
c written by: jan morzel, feb. 10, 1995 (converted from "sigma" version) |
1417 |
|
|
c modified by: d. menemenlis, june 1998 : for use with MIT GCM UV |
1418 |
|
|
c |
1419 |
dimitri |
1.23 |
c 28 april 05: added computation of mixed layer depth KPPmld |
1420 |
|
|
c for a deltaRho equivalent to a deltaTheta of 0.8 deg C |
1421 |
|
|
|
1422 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
1423 |
|
|
|
1424 |
|
|
IMPLICIT NONE |
1425 |
|
|
|
1426 |
|
|
#include "SIZE.h" |
1427 |
|
|
#include "EEPARAMS.h" |
1428 |
|
|
#include "PARAMS.h" |
1429 |
|
|
#include "KPP_PARAMS.h" |
1430 |
adcroft |
1.6 |
#include "DYNVARS.h" |
1431 |
dimitri |
1.23 |
#include "GRID.h" |
1432 |
adcroft |
1.1 |
|
1433 |
|
|
c-------------- Routine arguments ----------------------------------------- |
1434 |
|
|
INTEGER bi, bj, myThid |
1435 |
dimitri |
1.27 |
_RL RHO1 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
1436 |
|
|
_RL DBLOC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1437 |
|
|
_RL DBSFC ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
1438 |
|
|
_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1439 |
|
|
_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
1440 |
adcroft |
1.1 |
|
1441 |
|
|
#ifdef ALLOW_KPP |
1442 |
|
|
|
1443 |
|
|
c-------------------------------------------------------------------------- |
1444 |
|
|
c |
1445 |
|
|
c local arrays: |
1446 |
|
|
c |
1447 |
|
|
c rhok - density of t(k ) & s(k ) at depth k |
1448 |
|
|
c rhokm1 - density of t(k-1) & s(k-1) at depth k |
1449 |
|
|
c rho1k - density of t(1 ) & s(1 ) at depth k |
1450 |
dimitri |
1.23 |
c work1,2,3 - work arrays for holding horizontal slabs |
1451 |
adcroft |
1.1 |
|
1452 |
|
|
_RL RHOK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1453 |
|
|
_RL RHOKM1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1454 |
|
|
_RL RHO1K (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1455 |
|
|
_RL WORK1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1456 |
|
|
_RL WORK2 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1457 |
|
|
_RL WORK3 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
1458 |
dimitri |
1.23 |
#ifdef ALLOW_DIAGNOSTICS |
1459 |
|
|
c KPPMLD - mixed layer depth based on density criterion |
1460 |
|
|
_RL KPPMLD(1 :sNx ,1 :sNy ) |
1461 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
1462 |
|
|
|
1463 |
adcroft |
1.1 |
INTEGER I, J, K |
1464 |
heimbach |
1.19 |
INTEGER ikppkey, kkppkey |
1465 |
adcroft |
1.1 |
|
1466 |
|
|
c calculate density, alpha, beta in surface layer, and set dbsfc to zero |
1467 |
|
|
|
1468 |
heimbach |
1.19 |
kkppkey = (ikppkey-1)*Nr + 1 |
1469 |
|
|
|
1470 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1471 |
|
|
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1472 |
|
|
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1473 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1474 |
adcroft |
1.1 |
call FIND_RHO( |
1475 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1476 |
adcroft |
1.6 |
I theta, salt, |
1477 |
adcroft |
1.1 |
O WORK1, |
1478 |
|
|
I myThid ) |
1479 |
heimbach |
1.19 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1480 |
|
|
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1481 |
|
|
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1482 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1483 |
adcroft |
1.1 |
|
1484 |
|
|
call FIND_ALPHA( |
1485 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1486 |
mlosch |
1.30 |
O WORK2, myThid ) |
1487 |
adcroft |
1.1 |
|
1488 |
|
|
call FIND_BETA( |
1489 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, 1, |
1490 |
mlosch |
1.30 |
O WORK3, myThid ) |
1491 |
adcroft |
1.1 |
|
1492 |
dimitri |
1.24 |
DO J = 1-OLy, sNy+OLy |
1493 |
|
|
DO I = 1-OLx, sNx+OLx |
1494 |
mlosch |
1.12 |
RHO1(I,J) = WORK1(I,J) + rhoConst |
1495 |
adcroft |
1.1 |
TTALPHA(I,J,1) = WORK2(I,J) |
1496 |
|
|
SSBETA(I,J,1) = WORK3(I,J) |
1497 |
|
|
DBSFC(I,J,1) = 0. |
1498 |
|
|
END DO |
1499 |
|
|
END DO |
1500 |
|
|
|
1501 |
dimitri |
1.23 |
#ifdef ALLOW_DIAGNOSTICS |
1502 |
|
|
c work3 - density of t(1)-.8 & s(1 ) at depth 1 |
1503 |
|
|
IF ( useDiagnostics ) THEN |
1504 |
|
|
DO J = 1, sNy |
1505 |
|
|
DO I = 1, sNx |
1506 |
|
|
KPPMLD(I,J) = ABS(R_low(I,J,bi,bj)) |
1507 |
|
|
WORK3 (I,J) = WORK1(I,J) - 0.8 * WORK2(I,J) |
1508 |
|
|
END DO |
1509 |
|
|
END DO |
1510 |
|
|
ENDIF |
1511 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
1512 |
|
|
|
1513 |
adcroft |
1.1 |
c calculate alpha, beta, and gradients in interior layers |
1514 |
|
|
|
1515 |
heimbach |
1.2 |
CHPF$ INDEPENDENT, NEW (RHOK,RHOKM1,RHO1K,WORK1,WORK2) |
1516 |
adcroft |
1.1 |
DO K = 2, Nr |
1517 |
|
|
|
1518 |
heimbach |
1.19 |
kkppkey = (ikppkey-1)*Nr + k |
1519 |
|
|
|
1520 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1521 |
|
|
CADJ STORE theta(:,:,k,bi,bj) = comlev1_kpp_k, key=kkppkey |
1522 |
|
|
CADJ STORE salt (:,:,k,bi,bj) = comlev1_kpp_k, key=kkppkey |
1523 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1524 |
adcroft |
1.1 |
call FIND_RHO( |
1525 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1526 |
adcroft |
1.6 |
I theta, salt, |
1527 |
adcroft |
1.1 |
O RHOK, |
1528 |
|
|
I myThid ) |
1529 |
|
|
|
1530 |
heimbach |
1.19 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1531 |
|
|
CADJ STORE theta(:,:,k-1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1532 |
|
|
CADJ STORE salt (:,:,k-1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1533 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1534 |
adcroft |
1.1 |
call FIND_RHO( |
1535 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K-1, K, |
1536 |
adcroft |
1.6 |
I theta, salt, |
1537 |
adcroft |
1.1 |
O RHOKM1, |
1538 |
|
|
I myThid ) |
1539 |
|
|
|
1540 |
heimbach |
1.19 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1541 |
|
|
CADJ STORE theta(:,:,1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1542 |
|
|
CADJ STORE salt (:,:,1,bi,bj) = comlev1_kpp_k, key=kkppkey |
1543 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1544 |
adcroft |
1.1 |
call FIND_RHO( |
1545 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, 1, K, |
1546 |
adcroft |
1.6 |
I theta, salt, |
1547 |
adcroft |
1.1 |
O RHO1K, |
1548 |
|
|
I myThid ) |
1549 |
heimbach |
1.19 |
|
1550 |
|
|
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
1551 |
|
|
CADJ STORE rhok (:,:) = comlev1_kpp_k, key=kkppkey |
1552 |
|
|
CADJ STORE rhokm1(:,:) = comlev1_kpp_k, key=kkppkey |
1553 |
|
|
CADJ STORE rho1k (:,:) = comlev1_kpp_k, key=kkppkey |
1554 |
|
|
#endif /* KPP_AUTODIFF_EXCESSIVE_STORE */ |
1555 |
adcroft |
1.1 |
|
1556 |
|
|
call FIND_ALPHA( |
1557 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1558 |
mlosch |
1.30 |
O WORK1, myThid ) |
1559 |
adcroft |
1.1 |
|
1560 |
|
|
call FIND_BETA( |
1561 |
dimitri |
1.24 |
I bi, bj, 1-OLx, sNx+OLx, 1-OLy, sNy+OLy, K, K, |
1562 |
mlosch |
1.30 |
O WORK2, myThid ) |
1563 |
adcroft |
1.1 |
|
1564 |
dimitri |
1.24 |
DO J = 1-OLy, sNy+OLy |
1565 |
|
|
DO I = 1-OLx, sNx+OLx |
1566 |
adcroft |
1.1 |
TTALPHA(I,J,K) = WORK1 (I,J) |
1567 |
|
|
SSBETA(I,J,K) = WORK2 (I,J) |
1568 |
|
|
DBLOC(I,J,K-1) = gravity * (RHOK(I,J) - RHOKM1(I,J)) / |
1569 |
mlosch |
1.12 |
& (RHOK(I,J) + rhoConst) |
1570 |
adcroft |
1.1 |
DBSFC(I,J,K) = gravity * (RHOK(I,J) - RHO1K (I,J)) / |
1571 |
mlosch |
1.12 |
& (RHOK(I,J) + rhoConst) |
1572 |
adcroft |
1.1 |
END DO |
1573 |
|
|
END DO |
1574 |
|
|
|
1575 |
dimitri |
1.23 |
#ifdef ALLOW_DIAGNOSTICS |
1576 |
|
|
IF ( useDiagnostics ) THEN |
1577 |
|
|
c work1 - density of t(k-1) & s(k-1) at depth 1 |
1578 |
|
|
c work2 - density of t(k ) & s(k ) at depth 1 |
1579 |
|
|
c work3 - density of t(1)-.8 & s(1 ) at depth 1 |
1580 |
|
|
call FIND_RHO( |
1581 |
|
|
I bi, bj, 1, sNx, 1, sNy, K-1, 1, theta, salt, |
1582 |
|
|
O WORK1, |
1583 |
|
|
I myThid ) |
1584 |
|
|
call FIND_RHO( |
1585 |
|
|
I bi, bj, 1, sNx, 1, sNy, K , 1, theta, salt, |
1586 |
|
|
O WORK2, |
1587 |
|
|
I myThid ) |
1588 |
|
|
DO J = 1, sNy |
1589 |
|
|
DO I = 1, sNx |
1590 |
|
|
IF ( k .LE. klowC(I,J,bi,bj) .AND. |
1591 |
|
|
& WORK1(I,J) .LT. WORK3(I,J) .AND. |
1592 |
|
|
& WORK2(I,J) .GE. WORK3(I,J) ) THEN |
1593 |
|
|
KPPMLD(I,J) = MIN ( KPPMLD(I,J), |
1594 |
|
|
& ABS(((WORK3(I,J)-WORK1(I,J))*rC(k)+ |
1595 |
|
|
& (WORK2(I,J)-WORK3(I,J))*rC(k-1))/ |
1596 |
|
|
& (WORK2(I,J)-WORK1(I,J)))) |
1597 |
|
|
ENDIF |
1598 |
|
|
END DO |
1599 |
|
|
END DO |
1600 |
|
|
ENDIF |
1601 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
1602 |
|
|
|
1603 |
adcroft |
1.1 |
END DO |
1604 |
|
|
|
1605 |
|
|
c compute arrays for K = Nrp1 |
1606 |
dimitri |
1.24 |
DO J = 1-OLy, sNy+OLy |
1607 |
|
|
DO I = 1-OLx, sNx+OLx |
1608 |
adcroft |
1.1 |
TTALPHA(I,J,Nrp1) = TTALPHA(I,J,Nr) |
1609 |
|
|
SSBETA(I,J,Nrp1) = SSBETA(I,J,Nr) |
1610 |
|
|
DBLOC(I,J,Nr) = 0. |
1611 |
|
|
END DO |
1612 |
|
|
END DO |
1613 |
|
|
|
1614 |
dimitri |
1.23 |
#ifdef ALLOW_DIAGNOSTICS |
1615 |
|
|
IF ( useDiagnostics ) THEN |
1616 |
|
|
CALL DIAGNOSTICS_FILL(KPPmld,'KPPmld ',0,1,3,bi,bj,myThid) |
1617 |
|
|
ENDIF |
1618 |
|
|
#endif /* ALLOW_DIAGNOSTICS */ |
1619 |
|
|
|
1620 |
adcroft |
1.1 |
#endif /* ALLOW_KPP */ |
1621 |
|
|
|
1622 |
|
|
RETURN |
1623 |
|
|
END |