1 |
dimitri |
1.36 |
C $Header: /u/gcmpack/MITgcm/pkg/kpp/kpp_calc.F,v 1.35 2007/04/19 15:49:11 mlosch Exp $ |
2 |
adcroft |
1.9 |
C $Name: $ |
3 |
adcroft |
1.1 |
|
4 |
|
|
#include "KPP_OPTIONS.h" |
5 |
|
|
|
6 |
dimitri |
1.25 |
CBOP |
7 |
|
|
C !ROUTINE: KPP_CALC |
8 |
|
|
|
9 |
|
|
C !INTERFACE: ========================================================== |
10 |
adcroft |
1.1 |
subroutine KPP_CALC( |
11 |
|
|
I bi, bj, myTime, myThid ) |
12 |
dimitri |
1.25 |
|
13 |
|
|
C !DESCRIPTION: \bv |
14 |
adcroft |
1.1 |
C /==========================================================\ |
15 |
|
|
C | SUBROUTINE KPP_CALC | |
16 |
|
|
C | o Compute all KPP fields defined in KPP.h | |
17 |
|
|
C |==========================================================| |
18 |
|
|
C | This subroutine serves as an interface between MITGCMUV | |
19 |
|
|
C | code and NCOM 1-D routines in kpp_routines.F | |
20 |
|
|
C \==========================================================/ |
21 |
|
|
IMPLICIT NONE |
22 |
|
|
|
23 |
|
|
c======================================================================= |
24 |
|
|
c |
25 |
|
|
c written by : jan morzel, august 11, 1994 |
26 |
|
|
c modified by : jan morzel, january 25, 1995 : "dVsq" and 1d code |
27 |
|
|
c detlef stammer, august, 1997 : for MIT GCM Classic |
28 |
|
|
c d. menemenlis, july, 1998 : for MIT GCM UV |
29 |
|
|
c |
30 |
|
|
c compute vertical mixing coefficients based on the k-profile |
31 |
|
|
c and oceanic planetary boundary layer scheme by large & mcwilliams. |
32 |
|
|
c |
33 |
|
|
c summary: |
34 |
|
|
c - compute interior mixing everywhere: |
35 |
|
|
c interior mixing gets computed at all interfaces due to constant |
36 |
|
|
c internal wave background activity ("fkpm" and "fkph"), which |
37 |
|
|
c is enhanced in places of static instability (local richardson |
38 |
|
|
c number < 0). |
39 |
|
|
c Additionally, mixing can be enhanced by adding contribution due |
40 |
|
|
c to shear instability which is a function of the local richardson |
41 |
|
|
c number |
42 |
|
|
c - double diffusivity: |
43 |
|
|
c interior mixing can be enhanced by double diffusion due to salt |
44 |
|
|
c fingering and diffusive convection (ifdef "kmixdd"). |
45 |
|
|
c - kpp scheme in the boundary layer: |
46 |
|
|
c |
47 |
|
|
c a.boundary layer depth: |
48 |
|
|
c at every gridpoint the depth of the oceanic boundary layer |
49 |
|
|
c ("hbl") gets computed by evaluating bulk richardson numbers. |
50 |
|
|
c b.boundary layer mixing: |
51 |
|
|
c within the boundary layer, above hbl, vertical mixing is |
52 |
|
|
c determined by turbulent surface fluxes, and interior mixing at |
53 |
|
|
c the lower boundary, i.e. at hbl. |
54 |
|
|
c |
55 |
|
|
c this subroutine provides the interface between the MIT GCM UV and the |
56 |
|
|
c subroutine "kppmix", where boundary layer depth, vertical |
57 |
|
|
c viscosity, vertical diffusivity, and counter gradient term (ghat) |
58 |
|
|
c are computed slabwise. |
59 |
|
|
c note: subroutine "kppmix" uses m-k-s units. |
60 |
|
|
c |
61 |
|
|
c time level: |
62 |
|
|
c input tracer and velocity profiles are evaluated at time level |
63 |
|
|
c tau, surface fluxes come from tau or tau-1. |
64 |
|
|
c |
65 |
|
|
c grid option: |
66 |
|
|
c in this "1-grid" implementation, diffusivity and viscosity |
67 |
|
|
c profiles are computed on the "t-grid" (by using velocity shear |
68 |
|
|
c profiles averaged from the "u,v-grid" onto the "t-grid"; note, that |
69 |
|
|
c the averaging includes zero values on coastal and seafloor grid |
70 |
|
|
c points). viscosity on the "u,v-grid" is computed by averaging the |
71 |
|
|
c "t-grid" viscosity values onto the "u,v-grid". |
72 |
|
|
c |
73 |
|
|
c vertical grid: |
74 |
|
|
c mixing coefficients get evaluated at the bottom of the lowest |
75 |
|
|
c layer, i.e., at depth zw(Nr). these values are only useful when |
76 |
|
|
c the model ocean domain does not include the entire ocean down to |
77 |
|
|
c the seafloor ("upperocean" setup) and allows flux through the |
78 |
|
|
c bottom of the domain. for full-depth runs, these mixing |
79 |
|
|
c coefficients are being zeroed out before leaving this subroutine. |
80 |
|
|
c |
81 |
|
|
c------------------------------------------------------------------------- |
82 |
|
|
|
83 |
|
|
c global parameters updated by kpp_calc |
84 |
|
|
c KPPviscAz - KPP eddy viscosity coefficient (m^2/s) |
85 |
|
|
c KPPdiffKzT - KPP diffusion coefficient for temperature (m^2/s) |
86 |
|
|
c KPPdiffKzS - KPP diffusion coefficient for salt and tracers (m^2/s) |
87 |
|
|
c KPPghat - Nonlocal transport coefficient (s/m^2) |
88 |
|
|
c KPPhbl - Boundary layer depth on "t-grid" (m) |
89 |
|
|
c KPPfrac - Fraction of short-wave flux penetrating mixing layer |
90 |
|
|
|
91 |
|
|
c-- KPP_CALC computes vertical viscosity and diffusivity for region |
92 |
|
|
c (-2:sNx+3,-2:sNy+3) as required by CALC_DIFFUSIVITY and requires |
93 |
jmc |
1.28 |
c values of uVel, vVel, surfaceForcingU, surfaceForcingV in the |
94 |
heimbach |
1.2 |
c region (-2:sNx+4,-2:sNy+4). |
95 |
adcroft |
1.1 |
c Hence overlap region needs to be set OLx=4, OLy=4. |
96 |
dimitri |
1.25 |
c \ev |
97 |
adcroft |
1.1 |
|
98 |
dimitri |
1.25 |
C !USES: =============================================================== |
99 |
adcroft |
1.1 |
#include "SIZE.h" |
100 |
|
|
#include "EEPARAMS.h" |
101 |
|
|
#include "PARAMS.h" |
102 |
|
|
#include "DYNVARS.h" |
103 |
|
|
#include "KPP.h" |
104 |
|
|
#include "KPP_PARAMS.h" |
105 |
|
|
#include "FFIELDS.h" |
106 |
|
|
#include "GRID.h" |
107 |
dimitri |
1.36 |
#include "GAD.h" |
108 |
mlosch |
1.35 |
#ifdef ALLOW_SHELFICE |
109 |
|
|
# include "SHELFICE.h" |
110 |
|
|
#endif /* ALLOW_SHELFICE */ |
111 |
adcroft |
1.1 |
#ifdef ALLOW_AUTODIFF_TAMC |
112 |
|
|
#include "tamc.h" |
113 |
|
|
#include "tamc_keys.h" |
114 |
|
|
#else /* ALLOW_AUTODIFF_TAMC */ |
115 |
heimbach |
1.16 |
integer ikppkey |
116 |
adcroft |
1.1 |
#endif /* ALLOW_AUTODIFF_TAMC */ |
117 |
|
|
|
118 |
jmc |
1.32 |
EXTERNAL DIFFERENT_MULTIPLE |
119 |
|
|
LOGICAL DIFFERENT_MULTIPLE |
120 |
adcroft |
1.1 |
|
121 |
dimitri |
1.25 |
C !INPUT PARAMETERS: =================================================== |
122 |
adcroft |
1.1 |
c Routine arguments |
123 |
|
|
c bi, bj - array indices on which to apply calculations |
124 |
|
|
c myTime - Current time in simulation |
125 |
|
|
|
126 |
|
|
INTEGER bi, bj |
127 |
|
|
INTEGER myThid |
128 |
|
|
_RL myTime |
129 |
|
|
|
130 |
|
|
#ifdef ALLOW_KPP |
131 |
|
|
|
132 |
dimitri |
1.25 |
C !LOCAL VARIABLES: ==================================================== |
133 |
heimbach |
1.4 |
c Local constants |
134 |
|
|
c minusone, p0, p5, p25, p125, p0625 |
135 |
|
|
c imin, imax, jmin, jmax - array computation indices |
136 |
|
|
|
137 |
|
|
_RL minusone |
138 |
|
|
parameter( minusone=-1.0) |
139 |
|
|
_KPP_RL p0 , p5 , p25 , p125 , p0625 |
140 |
|
|
parameter( p0=0.0, p5=0.5, p25=0.25, p125=0.125, p0625=0.0625 ) |
141 |
dimitri |
1.17 |
integer imin ,imax ,jmin ,jmax |
142 |
heimbach |
1.15 |
parameter(imin=2-OLx,imax=sNx+OLx-1,jmin=2-OLy,jmax=sNy+OLy-1) |
143 |
heimbach |
1.4 |
|
144 |
adcroft |
1.1 |
c Local arrays and variables |
145 |
|
|
c work? (nx,ny) - horizontal working arrays |
146 |
|
|
c ustar (nx,ny) - surface friction velocity (m/s) |
147 |
|
|
c bo (nx,ny) - surface turbulent buoyancy forcing (m^2/s^3) |
148 |
|
|
c bosol (nx,ny) - surface radiative buoyancy forcing (m^2/s^3) |
149 |
|
|
c shsq (nx,ny,Nr) - local velocity shear squared |
150 |
|
|
c at interfaces for ri_iwmix (m^2/s^2) |
151 |
|
|
c dVsq (nx,ny,Nr) - velocity shear re surface squared |
152 |
|
|
c at grid levels for bldepth (m^2/s^2) |
153 |
|
|
c dbloc (nx,ny,Nr) - local delta buoyancy at interfaces |
154 |
|
|
c for ri_iwmix and bldepth (m/s^2) |
155 |
|
|
c Ritop (nx,ny,Nr) - numerator of bulk richardson number |
156 |
|
|
c at grid levels for bldepth |
157 |
|
|
c vddiff (nx,ny,Nrp2,1)- vertical viscosity on "t-grid" (m^2/s) |
158 |
dimitri |
1.24 |
c vddiff (nx,ny,Nrp2,2)- vert. diff. on next row for salt&tracers (m^2/s) |
159 |
|
|
c vddiff (nx,ny,Nrp2,3)- vert. diff. on next row for temperature (m^2/s) |
160 |
adcroft |
1.1 |
c ghat (nx,ny,Nr) - nonlocal transport coefficient (s/m^2) |
161 |
|
|
c hbl (nx,ny) - mixing layer depth (m) |
162 |
|
|
c kmtj (nx,ny) - maximum number of wet levels in each column |
163 |
|
|
c z0 (nx,ny) - Roughness length (m) |
164 |
|
|
c zRef (nx,ny) - Reference depth: Hmix * epsilon (m) |
165 |
|
|
c uRef (nx,ny) - Reference zonal velocity (m/s) |
166 |
|
|
c vRef (nx,ny) - Reference meridional velocity (m/s) |
167 |
|
|
|
168 |
heimbach |
1.4 |
_RL worka ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
169 |
dimitri |
1.34 |
integer work1 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
170 |
|
|
_KPP_RL work2 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
171 |
|
|
_KPP_RL work3 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
172 |
|
|
_KPP_RL ustar ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
173 |
|
|
_KPP_RL bo ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
174 |
|
|
_KPP_RL bosol ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
175 |
|
|
_KPP_RL shsq ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
176 |
|
|
_KPP_RL dVsq ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
177 |
|
|
_KPP_RL dbloc ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
178 |
|
|
_KPP_RL Ritop ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
179 |
|
|
_KPP_RL vddiff( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, 0:Nrp1, mdiff ) |
180 |
|
|
_KPP_RL ghat ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nr ) |
181 |
|
|
_KPP_RL hbl ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
182 |
heimbach |
1.33 |
cph( |
183 |
dimitri |
1.34 |
_KPP_RL TTALPHA( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
184 |
|
|
_KPP_RL SSBETA ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy, Nrp1 ) |
185 |
heimbach |
1.33 |
cph) |
186 |
adcroft |
1.1 |
#ifdef KPP_ESTIMATE_UREF |
187 |
dimitri |
1.34 |
_KPP_RL z0 ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
188 |
|
|
_KPP_RL zRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
189 |
|
|
_KPP_RL uRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
190 |
|
|
_KPP_RL vRef ( 1-OLx:sNx+OLx, 1-OLy:sNy+OLy ) |
191 |
adcroft |
1.1 |
#endif /* KPP_ESTIMATE_UREF */ |
192 |
|
|
|
193 |
dimitri |
1.14 |
_KPP_RL tempvar2 |
194 |
mlosch |
1.35 |
integer i, j, k, kp1, km1, im1, ip1, jm1, jp1 |
195 |
adcroft |
1.1 |
|
196 |
|
|
#ifdef KPP_ESTIMATE_UREF |
197 |
dimitri |
1.14 |
_KPP_RL tempvar1, dBdz1, dBdz2, ustarX, ustarY |
198 |
adcroft |
1.1 |
#endif |
199 |
|
|
|
200 |
heimbach |
1.16 |
#ifdef ALLOW_AUTODIFF_TAMC |
201 |
|
|
act1 = bi - myBxLo(myThid) |
202 |
|
|
max1 = myBxHi(myThid) - myBxLo(myThid) + 1 |
203 |
|
|
act2 = bj - myByLo(myThid) |
204 |
|
|
max2 = myByHi(myThid) - myByLo(myThid) + 1 |
205 |
|
|
act3 = myThid - 1 |
206 |
|
|
max3 = nTx*nTy |
207 |
|
|
act4 = ikey_dynamics - 1 |
208 |
|
|
ikppkey = (act1 + 1) + act2*max1 |
209 |
|
|
& + act3*max1*max2 |
210 |
|
|
& + act4*max1*max2*max3 |
211 |
|
|
#endif /* ALLOW_AUTODIFF_TAMC */ |
212 |
dimitri |
1.25 |
CEOP |
213 |
heimbach |
1.16 |
|
214 |
adcroft |
1.1 |
c Check to see if new vertical mixing coefficient should be computed now? |
215 |
jmc |
1.32 |
IF ( DIFFERENT_MULTIPLE(kpp_freq,myTime,deltaTClock) |
216 |
jmc |
1.31 |
1 .OR. myTime .EQ. startTime ) THEN |
217 |
adcroft |
1.1 |
|
218 |
|
|
c----------------------------------------------------------------------- |
219 |
|
|
c prepare input arrays for subroutine "kppmix" to compute |
220 |
|
|
c viscosity and diffusivity and ghat. |
221 |
|
|
c All input arrays need to be in m-k-s units. |
222 |
|
|
c |
223 |
|
|
c note: for the computation of the bulk richardson number in the |
224 |
|
|
c "bldepth" subroutine, gradients of velocity and buoyancy are |
225 |
|
|
c required at every depth. in the case of very fine vertical grids |
226 |
|
|
c (thickness of top layer < 2m), the surface reference depth must |
227 |
|
|
c be set to zref=epsilon/2*zgrid(k), and the reference value |
228 |
|
|
c of velocity and buoyancy must be computed as vertical average |
229 |
|
|
c between the surface and 2*zref. in the case of coarse vertical |
230 |
|
|
c grids zref is zgrid(1)/2., and the surface reference value is |
231 |
|
|
c simply the surface value at zgrid(1). |
232 |
|
|
c----------------------------------------------------------------------- |
233 |
|
|
|
234 |
|
|
c------------------------------------------------------------------------ |
235 |
|
|
c density related quantities |
236 |
|
|
c -------------------------- |
237 |
|
|
c |
238 |
|
|
c work2 - density of surface layer (kg/m^3) |
239 |
|
|
c dbloc - local buoyancy gradient at Nr interfaces |
240 |
|
|
c g/rho{k+1,k+1} * [ drho{k,k+1}-drho{k+1,k+1} ] (m/s^2) |
241 |
|
|
c dbsfc (stored in Ritop to conserve stack memory) |
242 |
|
|
c - buoyancy difference with respect to the surface |
243 |
|
|
c g * [ drho{1,k}/rho{1,k} - drho{k,k}/rho{k,k} ] (m/s^2) |
244 |
|
|
c ttalpha (stored in vddiff(:,:,:,1) to conserve stack memory) |
245 |
|
|
c - thermal expansion coefficient without 1/rho factor |
246 |
|
|
c d(rho{k,k})/d(T(k)) (kg/m^3/C) |
247 |
|
|
c ssbeta (stored in vddiff(:,:,:,2) to conserve stack memory) |
248 |
|
|
c - salt expansion coefficient without 1/rho factor |
249 |
|
|
c d(rho{k,k})/d(S(k)) (kg/m^3/PSU) |
250 |
|
|
c------------------------------------------------------------------------ |
251 |
|
|
|
252 |
|
|
CALL TIMER_START('STATEKPP [KPP_CALC]', myThid) |
253 |
|
|
CALL STATEKPP( |
254 |
heimbach |
1.27 |
I ikppkey, bi, bj, myThid |
255 |
adcroft |
1.1 |
O , work2, dbloc, Ritop |
256 |
heimbach |
1.33 |
O , TTALPHA, SSBETA |
257 |
adcroft |
1.1 |
& ) |
258 |
|
|
CALL TIMER_STOP ('STATEKPP [KPP_CALC]', myThid) |
259 |
|
|
|
260 |
|
|
DO k = 1, Nr |
261 |
dimitri |
1.34 |
DO j = 1-OLy, sNy+OLy |
262 |
|
|
DO i = 1-OLx, sNx+OLx |
263 |
adcroft |
1.1 |
ghat(i,j,k) = dbloc(i,j,k) |
264 |
|
|
ENDDO |
265 |
|
|
ENDDO |
266 |
|
|
ENDDO |
267 |
|
|
|
268 |
heimbach |
1.4 |
#ifdef KPP_SMOOTH_DBLOC |
269 |
|
|
c horizontally smooth dbloc with a 121 filter |
270 |
|
|
c smooth dbloc stored in ghat to save space |
271 |
|
|
c dbloc(k) is buoyancy gradientnote between k and k+1 |
272 |
|
|
c levels therefore k+1 mask must be used |
273 |
|
|
|
274 |
|
|
DO k = 1, Nr-1 |
275 |
|
|
CALL KPP_SMOOTH_HORIZ ( |
276 |
|
|
I k+1, bi, bj, |
277 |
dimitri |
1.34 |
U ghat (1-OLx,1-OLy,k) ) |
278 |
heimbach |
1.4 |
ENDDO |
279 |
|
|
|
280 |
adcroft |
1.1 |
#endif /* KPP_SMOOTH_DBLOC */ |
281 |
|
|
|
282 |
|
|
#ifdef KPP_SMOOTH_DENS |
283 |
|
|
c horizontally smooth density related quantities with 121 filters |
284 |
heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
285 |
|
|
I 1, bi, bj, |
286 |
|
|
U work2 ) |
287 |
adcroft |
1.1 |
DO k = 1, Nr |
288 |
heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
289 |
|
|
I k+1, bi, bj, |
290 |
dimitri |
1.34 |
U dbloc (1-OLx,1-OLy,k) ) |
291 |
heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
292 |
adcroft |
1.1 |
I k, bi, bj, |
293 |
dimitri |
1.34 |
U Ritop (1-OLx,1-OLy,k) ) |
294 |
heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
295 |
adcroft |
1.1 |
I k, bi, bj, |
296 |
dimitri |
1.34 |
U TTALPHA(1-OLx,1-OLy,k) ) |
297 |
heimbach |
1.4 |
CALL KPP_SMOOTH_HORIZ ( |
298 |
adcroft |
1.1 |
I k, bi, bj, |
299 |
dimitri |
1.34 |
U SSBETA(1-OLx,1-OLy,k) ) |
300 |
adcroft |
1.1 |
ENDDO |
301 |
|
|
#endif /* KPP_SMOOTH_DENS */ |
302 |
|
|
|
303 |
|
|
DO k = 1, Nr |
304 |
mlosch |
1.35 |
km1 = max(1,k-1) |
305 |
dimitri |
1.34 |
DO j = 1-OLy, sNy+OLy |
306 |
|
|
DO i = 1-OLx, sNx+OLx |
307 |
adcroft |
1.1 |
|
308 |
|
|
c zero out dbloc over land points (so that the convective |
309 |
|
|
c part of the interior mixing can be diagnosed) |
310 |
jmc |
1.28 |
dbloc(i,j,k) = dbloc(i,j,k) * maskC(i,j,k,bi,bj) |
311 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
312 |
jmc |
1.28 |
ghat(i,j,k) = ghat(i,j,k) * maskC(i,j,k,bi,bj) |
313 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
314 |
jmc |
1.28 |
Ritop(i,j,k) = Ritop(i,j,k) * maskC(i,j,k,bi,bj) |
315 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
316 |
adcroft |
1.1 |
if(k.eq.nzmax(i,j,bi,bj)) then |
317 |
|
|
dbloc(i,j,k) = p0 |
318 |
|
|
ghat(i,j,k) = p0 |
319 |
|
|
Ritop(i,j,k) = p0 |
320 |
|
|
endif |
321 |
|
|
|
322 |
|
|
c numerator of bulk richardson number on grid levels |
323 |
|
|
c note: land and ocean bottom values need to be set to zero |
324 |
|
|
c so that the subroutine "bldepth" works correctly |
325 |
|
|
Ritop(i,j,k) = (zgrid(1)-zgrid(k)) * Ritop(i,j,k) |
326 |
|
|
|
327 |
|
|
END DO |
328 |
|
|
END DO |
329 |
|
|
END DO |
330 |
|
|
|
331 |
heimbach |
1.11 |
cph( |
332 |
|
|
cph this avoids a single or double recomp./call of statekpp |
333 |
heimbach |
1.16 |
CADJ store work2 = comlev1_kpp, key = ikppkey |
334 |
heimbach |
1.27 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
335 |
heimbach |
1.16 |
CADJ store dbloc, Ritop, ghat = comlev1_kpp, key = ikppkey |
336 |
|
|
CADJ store vddiff = comlev1_kpp, key = ikppkey |
337 |
heimbach |
1.33 |
CADJ store TTALPHA, SSBETA = comlev1_kpp, key = ikppkey |
338 |
heimbach |
1.11 |
#endif |
339 |
|
|
cph) |
340 |
|
|
|
341 |
adcroft |
1.1 |
c------------------------------------------------------------------------ |
342 |
|
|
c friction velocity, turbulent and radiative surface buoyancy forcing |
343 |
|
|
c ------------------------------------------------------------------- |
344 |
jmc |
1.28 |
c taux / rho = surfaceForcingU (N/m^2) |
345 |
|
|
c tauy / rho = surfaceForcingV (N/m^2) |
346 |
jmc |
1.10 |
c ustar = sqrt( sqrt( taux^2 + tauy^2 ) / rho ) (m/s) |
347 |
jmc |
1.28 |
c bo = - g * ( alpha*surfaceForcingT + |
348 |
|
|
c beta *surfaceForcingS ) / rho (m^2/s^3) |
349 |
jmc |
1.10 |
c bosol = - g * alpha * Qsw * drF(1) / rho (m^2/s^3) |
350 |
adcroft |
1.1 |
c------------------------------------------------------------------------ |
351 |
|
|
|
352 |
heimbach |
1.4 |
c initialize arrays to zero |
353 |
dimitri |
1.34 |
DO j = 1-OLy, sNy+OLy |
354 |
|
|
DO i = 1-OLx, sNx+OLx |
355 |
heimbach |
1.4 |
ustar(i,j) = p0 |
356 |
|
|
bo (I,J) = p0 |
357 |
|
|
bosol(I,J) = p0 |
358 |
|
|
END DO |
359 |
|
|
END DO |
360 |
|
|
|
361 |
adcroft |
1.1 |
DO j = jmin, jmax |
362 |
heimbach |
1.2 |
jp1 = j + 1 |
363 |
|
|
DO i = imin, imax |
364 |
|
|
ip1 = i+1 |
365 |
heimbach |
1.11 |
work3(i,j) = |
366 |
jmc |
1.28 |
& (surfaceForcingU(i,j,bi,bj) + surfaceForcingU(ip1,j,bi,bj)) * |
367 |
|
|
& (surfaceForcingU(i,j,bi,bj) + surfaceForcingU(ip1,j,bi,bj)) + |
368 |
|
|
& (surfaceForcingV(i,j,bi,bj) + surfaceForcingV(i,jp1,bi,bj)) * |
369 |
|
|
& (surfaceForcingV(i,j,bi,bj) + surfaceForcingV(i,jp1,bi,bj)) |
370 |
heimbach |
1.11 |
END DO |
371 |
|
|
END DO |
372 |
|
|
cph( |
373 |
heimbach |
1.16 |
CADJ store work3 = comlev1_kpp, key = ikppkey |
374 |
heimbach |
1.11 |
cph) |
375 |
|
|
DO j = jmin, jmax |
376 |
|
|
jp1 = j + 1 |
377 |
|
|
DO i = imin, imax |
378 |
|
|
ip1 = i+1 |
379 |
heimbach |
1.13 |
|
380 |
jmc |
1.28 |
if ( work3(i,j) .lt. (phepsi*phepsi*drF(1)*drF(1)) ) then |
381 |
jmc |
1.10 |
ustar(i,j) = SQRT( phepsi * p5 * drF(1) ) |
382 |
heimbach |
1.2 |
else |
383 |
jmc |
1.28 |
tempVar2 = SQRT( work3(i,j) ) * p5 |
384 |
heimbach |
1.4 |
ustar(i,j) = SQRT( tempVar2 ) |
385 |
heimbach |
1.2 |
endif |
386 |
heimbach |
1.13 |
|
387 |
mlosch |
1.35 |
END DO |
388 |
|
|
END DO |
389 |
|
|
|
390 |
|
|
CML#ifdef ALLOW_SHELFICE |
391 |
|
|
CMLC For the pbl parameterisation to work underneath the ice shelves |
392 |
|
|
CMLC it needs to know the surface (ice-ocean) fluxes. However, masking |
393 |
|
|
CMLC and indexing problems make this part of the code not work |
394 |
|
|
CMLC underneath the ice shelves and the following lines are only here |
395 |
|
|
CMLC to remind me that this still needs to be sorted out. |
396 |
|
|
CML IF ( useShelfIce ) THEN |
397 |
|
|
CML DO j = jmin, jmax |
398 |
|
|
CML jp1 = j + 1 |
399 |
|
|
CML DO i = imin, imax |
400 |
|
|
CML ip1 = i+1 |
401 |
|
|
CML k = kTopC(I,J,bi,bj) |
402 |
|
|
CML bo(I,J) = - gravity * |
403 |
|
|
CML & ( TTALPHA(I,J,K) * ( maskC(I,J,1,bi,bj) |
404 |
|
|
CML & * ( surfaceForcingT(i,j,bi,bj) |
405 |
|
|
CML & + surfaceForcingTice(i,j,bi,bj) ) |
406 |
|
|
CML & + shelficeForcingT(i,j,bi,bj) ) |
407 |
|
|
CML & + SSBETA(I,J,K) * ( maskC(I,J,1,bi,bj) |
408 |
|
|
CML & * surfaceForcingS(i,j,bi,bj) |
409 |
|
|
CML & + shelficeForcingS(i,j,bi,bj) ) ) |
410 |
|
|
CML & / work2(I,J) |
411 |
|
|
CML |
412 |
|
|
CML bosol(I,J) = gravity * TTALPHA(I,J,1) * Qsw(i,j,bi,bj) |
413 |
|
|
CML & * maskC(I,J,1,bi,bj) * recip_Cp*recip_rhoConst |
414 |
|
|
CML & / work2(I,J) |
415 |
|
|
CML |
416 |
|
|
CML END DO |
417 |
|
|
CML END DO |
418 |
|
|
CML ELSE |
419 |
|
|
CML#endif /* ALLOW_SHELFICE */ |
420 |
|
|
DO j = jmin, jmax |
421 |
|
|
jp1 = j + 1 |
422 |
|
|
DO i = imin, imax |
423 |
|
|
ip1 = i+1 |
424 |
|
|
|
425 |
dimitri |
1.23 |
bo(I,J) = - gravity * |
426 |
heimbach |
1.33 |
& ( TTALPHA(I,J,1) * (surfaceForcingT(i,j,bi,bj)+ |
427 |
jmc |
1.28 |
& surfaceForcingTice(i,j,bi,bj)) + |
428 |
heimbach |
1.33 |
& SSBETA(I,J,1) * surfaceForcingS(i,j,bi,bj) ) |
429 |
jmc |
1.28 |
& / work2(I,J) |
430 |
heimbach |
1.13 |
|
431 |
heimbach |
1.33 |
bosol(I,J) = gravity * TTALPHA(I,J,1) * Qsw(i,j,bi,bj) * |
432 |
jmc |
1.28 |
& recip_Cp*recip_rhoConst |
433 |
|
|
& / work2(I,J) |
434 |
heimbach |
1.13 |
|
435 |
heimbach |
1.2 |
END DO |
436 |
adcroft |
1.1 |
END DO |
437 |
mlosch |
1.35 |
CML#ifdef ALLOW_SHELFICE |
438 |
|
|
CML ENDIF |
439 |
|
|
CML#endif /* ALLOW_SHELFICE */ |
440 |
|
|
|
441 |
heimbach |
1.11 |
cph( |
442 |
heimbach |
1.16 |
CADJ store ustar = comlev1_kpp, key = ikppkey |
443 |
heimbach |
1.11 |
cph) |
444 |
|
|
|
445 |
adcroft |
1.1 |
c------------------------------------------------------------------------ |
446 |
|
|
c velocity shear |
447 |
|
|
c -------------- |
448 |
|
|
c Get velocity shear squared, averaged from "u,v-grid" |
449 |
|
|
c onto "t-grid" (in (m/s)**2): |
450 |
|
|
c dVsq(k)=(Uref-U(k))**2+(Vref-V(k))**2 at grid levels |
451 |
|
|
c shsq(k)=(U(k)-U(k+1))**2+(V(k)-V(k+1))**2 at interfaces |
452 |
|
|
c------------------------------------------------------------------------ |
453 |
|
|
|
454 |
heimbach |
1.4 |
c initialize arrays to zero |
455 |
|
|
DO k = 1, Nr |
456 |
dimitri |
1.34 |
DO j = 1-OLy, sNy+OLy |
457 |
|
|
DO i = 1-OLx, sNx+OLx |
458 |
heimbach |
1.4 |
shsq(i,j,k) = p0 |
459 |
|
|
dVsq(i,j,k) = p0 |
460 |
|
|
END DO |
461 |
|
|
END DO |
462 |
|
|
END DO |
463 |
|
|
|
464 |
adcroft |
1.1 |
c dVsq computation |
465 |
|
|
|
466 |
|
|
#ifdef KPP_ESTIMATE_UREF |
467 |
|
|
|
468 |
|
|
c Get rid of vertical resolution dependence of dVsq term by |
469 |
|
|
c estimating a surface velocity that is independent of first level |
470 |
|
|
c thickness in the model. First determine mixed layer depth hMix. |
471 |
|
|
c Second zRef = espilon * hMix. Third determine roughness length |
472 |
|
|
c scale z0. Third estimate reference velocity. |
473 |
|
|
|
474 |
|
|
DO j = jmin, jmax |
475 |
|
|
jp1 = j + 1 |
476 |
|
|
DO i = imin, imax |
477 |
|
|
ip1 = i + 1 |
478 |
|
|
|
479 |
|
|
c Determine mixed layer depth hMix as the shallowest depth at which |
480 |
|
|
c dB/dz exceeds 5.2e-5 s^-2. |
481 |
|
|
work1(i,j) = nzmax(i,j,bi,bj) |
482 |
|
|
DO k = 1, Nr |
483 |
|
|
IF ( k .LT. nzmax(i,j,bi,bj) .AND. |
484 |
mlosch |
1.35 |
& maskC(I,J,k,bi,bj) .GT. 0. .AND. |
485 |
adcroft |
1.1 |
& dbloc(i,j,k) / drC(k+1) .GT. dB_dz ) |
486 |
|
|
& work1(i,j) = k |
487 |
|
|
END DO |
488 |
|
|
|
489 |
|
|
c Linearly interpolate to find hMix. |
490 |
|
|
k = work1(i,j) |
491 |
|
|
IF ( k .EQ. 0 .OR. nzmax(i,j,bi,bj) .EQ. 1 ) THEN |
492 |
|
|
zRef(i,j) = p0 |
493 |
|
|
ELSEIF ( k .EQ. 1) THEN |
494 |
|
|
dBdz2 = dbloc(i,j,1) / drC(2) |
495 |
|
|
zRef(i,j) = drF(1) * dB_dz / dBdz2 |
496 |
|
|
ELSEIF ( k .LT. nzmax(i,j,bi,bj) ) THEN |
497 |
|
|
dBdz1 = dbloc(i,j,k-1) / drC(k ) |
498 |
|
|
dBdz2 = dbloc(i,j,k ) / drC(k+1) |
499 |
|
|
zRef(i,j) = rF(k) + drF(k) * (dB_dz - dBdz1) / |
500 |
|
|
& MAX ( phepsi, dBdz2 - dBdz1 ) |
501 |
|
|
ELSE |
502 |
|
|
zRef(i,j) = rF(k+1) |
503 |
|
|
ENDIF |
504 |
|
|
|
505 |
|
|
c Compute roughness length scale z0 subject to 0 < z0 |
506 |
heimbach |
1.4 |
tempVar1 = p5 * ( |
507 |
adcroft |
1.1 |
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) * |
508 |
|
|
& (uVel(i, j, 1,bi,bj)-uVel(i, j, 2,bi,bj)) + |
509 |
|
|
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) * |
510 |
|
|
& (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, 2,bi,bj)) + |
511 |
|
|
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) * |
512 |
|
|
& (vVel(i, j, 1,bi,bj)-vVel(i, j, 2,bi,bj)) + |
513 |
|
|
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) * |
514 |
heimbach |
1.2 |
& (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,2,bi,bj)) ) |
515 |
heimbach |
1.4 |
if ( tempVar1 .lt. (epsln*epsln) ) then |
516 |
|
|
tempVar2 = epsln |
517 |
heimbach |
1.2 |
else |
518 |
heimbach |
1.4 |
tempVar2 = SQRT ( tempVar1 ) |
519 |
heimbach |
1.2 |
endif |
520 |
adcroft |
1.1 |
z0(i,j) = rF(2) * |
521 |
|
|
& ( rF(3) * LOG ( rF(3) / rF(2) ) / |
522 |
|
|
& ( rF(3) - rF(2) ) - |
523 |
heimbach |
1.4 |
& tempVar2 * vonK / |
524 |
adcroft |
1.1 |
& MAX ( ustar(i,j), phepsi ) ) |
525 |
|
|
z0(i,j) = MAX ( z0(i,j), phepsi ) |
526 |
|
|
|
527 |
|
|
c zRef is set to 0.1 * hMix subject to z0 <= zRef <= drF(1) |
528 |
|
|
zRef(i,j) = MAX ( epsilon * zRef(i,j), z0(i,j) ) |
529 |
|
|
zRef(i,j) = MIN ( zRef(i,j), drF(1) ) |
530 |
|
|
|
531 |
|
|
c Estimate reference velocity uRef and vRef. |
532 |
|
|
uRef(i,j) = p5 * |
533 |
|
|
& ( uVel(i,j,1,bi,bj) + uVel(ip1,j,1,bi,bj) ) |
534 |
|
|
vRef(i,j) = p5 * |
535 |
|
|
& ( vVel(i,j,1,bi,bj) + vVel(i,jp1,1,bi,bj) ) |
536 |
|
|
IF ( zRef(i,j) .LT. drF(1) ) THEN |
537 |
jmc |
1.28 |
ustarX = ( surfaceForcingU(i, j,bi,bj) + |
538 |
|
|
& surfaceForcingU(ip1,j,bi,bj) ) * p5 |
539 |
|
|
& *recip_drF(1) |
540 |
|
|
ustarY = ( surfaceForcingV(i,j, bi,bj) + |
541 |
jmc |
1.29 |
& surfaceForcingV(i,jp1,bi,bj) ) * p5 |
542 |
jmc |
1.28 |
& *recip_drF(1) |
543 |
heimbach |
1.4 |
tempVar1 = ustarX * ustarX + ustarY * ustarY |
544 |
|
|
if ( tempVar1 .lt. (epsln*epsln) ) then |
545 |
|
|
tempVar2 = epsln |
546 |
heimbach |
1.2 |
else |
547 |
heimbach |
1.4 |
tempVar2 = SQRT ( tempVar1 ) |
548 |
heimbach |
1.2 |
endif |
549 |
heimbach |
1.4 |
tempVar2 = ustar(i,j) * |
550 |
adcroft |
1.1 |
& ( LOG ( zRef(i,j) / rF(2) ) + |
551 |
|
|
& z0(i,j) / zRef(i,j) - z0(i,j) / rF(2) ) / |
552 |
heimbach |
1.4 |
& vonK / tempVar2 |
553 |
|
|
uRef(i,j) = uRef(i,j) + ustarX * tempVar2 |
554 |
|
|
vRef(i,j) = vRef(i,j) + ustarY * tempVar2 |
555 |
adcroft |
1.1 |
ENDIF |
556 |
|
|
|
557 |
|
|
END DO |
558 |
|
|
END DO |
559 |
|
|
|
560 |
|
|
DO k = 1, Nr |
561 |
|
|
DO j = jmin, jmax |
562 |
|
|
jm1 = j - 1 |
563 |
|
|
jp1 = j + 1 |
564 |
|
|
DO i = imin, imax |
565 |
|
|
im1 = i - 1 |
566 |
|
|
ip1 = i + 1 |
567 |
|
|
dVsq(i,j,k) = p5 * ( |
568 |
|
|
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) * |
569 |
|
|
$ (uRef(i,j) - uVel(i, j, k,bi,bj)) + |
570 |
|
|
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) * |
571 |
|
|
$ (uRef(i,j) - uVel(ip1,j, k,bi,bj)) + |
572 |
|
|
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) * |
573 |
|
|
$ (vRef(i,j) - vVel(i, j, k,bi,bj)) + |
574 |
|
|
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) * |
575 |
|
|
$ (vRef(i,j) - vVel(i, jp1,k,bi,bj)) ) |
576 |
|
|
#ifdef KPP_SMOOTH_DVSQ |
577 |
|
|
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
578 |
|
|
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) * |
579 |
|
|
$ (uRef(i,j) - uVel(i, jm1,k,bi,bj)) + |
580 |
|
|
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) * |
581 |
|
|
$ (uRef(i,j) - uVel(ip1,jm1,k,bi,bj)) + |
582 |
|
|
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) * |
583 |
|
|
$ (uRef(i,j) - uVel(i, jp1,k,bi,bj)) + |
584 |
|
|
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) * |
585 |
|
|
$ (uRef(i,j) - uVel(ip1,jp1,k,bi,bj)) + |
586 |
|
|
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) * |
587 |
|
|
$ (vRef(i,j) - vVel(im1,j, k,bi,bj)) + |
588 |
|
|
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) * |
589 |
|
|
$ (vRef(i,j) - vVel(im1,jp1,k,bi,bj)) + |
590 |
|
|
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) * |
591 |
|
|
$ (vRef(i,j) - vVel(ip1,j, k,bi,bj)) + |
592 |
|
|
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) * |
593 |
|
|
$ (vRef(i,j) - vVel(ip1,jp1,k,bi,bj)) ) |
594 |
|
|
#endif /* KPP_SMOOTH_DVSQ */ |
595 |
|
|
END DO |
596 |
|
|
END DO |
597 |
|
|
END DO |
598 |
|
|
|
599 |
|
|
#else /* KPP_ESTIMATE_UREF */ |
600 |
|
|
|
601 |
|
|
DO k = 1, Nr |
602 |
|
|
DO j = jmin, jmax |
603 |
|
|
jm1 = j - 1 |
604 |
|
|
jp1 = j + 1 |
605 |
|
|
DO i = imin, imax |
606 |
|
|
im1 = i - 1 |
607 |
|
|
ip1 = i + 1 |
608 |
|
|
dVsq(i,j,k) = p5 * ( |
609 |
|
|
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) * |
610 |
|
|
$ (uVel(i, j, 1,bi,bj)-uVel(i, j, k,bi,bj)) + |
611 |
|
|
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) * |
612 |
|
|
$ (uVel(ip1,j, 1,bi,bj)-uVel(ip1,j, k,bi,bj)) + |
613 |
|
|
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) * |
614 |
|
|
$ (vVel(i, j, 1,bi,bj)-vVel(i, j, k,bi,bj)) + |
615 |
|
|
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) * |
616 |
|
|
$ (vVel(i, jp1,1,bi,bj)-vVel(i, jp1,k,bi,bj)) ) |
617 |
|
|
#ifdef KPP_SMOOTH_DVSQ |
618 |
|
|
dVsq(i,j,k) = p5 * dVsq(i,j,k) + p125 * ( |
619 |
|
|
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) * |
620 |
|
|
$ (uVel(i, jm1,1,bi,bj)-uVel(i, jm1,k,bi,bj)) + |
621 |
|
|
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) * |
622 |
|
|
$ (uVel(ip1,jm1,1,bi,bj)-uVel(ip1,jm1,k,bi,bj)) + |
623 |
|
|
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) * |
624 |
|
|
$ (uVel(i, jp1,1,bi,bj)-uVel(i, jp1,k,bi,bj)) + |
625 |
|
|
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) * |
626 |
|
|
$ (uVel(ip1,jp1,1,bi,bj)-uVel(ip1,jp1,k,bi,bj)) + |
627 |
|
|
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) * |
628 |
|
|
$ (vVel(im1,j, 1,bi,bj)-vVel(im1,j, k,bi,bj)) + |
629 |
|
|
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) * |
630 |
|
|
$ (vVel(im1,jp1,1,bi,bj)-vVel(im1,jp1,k,bi,bj)) + |
631 |
|
|
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) * |
632 |
|
|
$ (vVel(ip1,j, 1,bi,bj)-vVel(ip1,j, k,bi,bj)) + |
633 |
|
|
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) * |
634 |
|
|
$ (vVel(ip1,jp1,1,bi,bj)-vVel(ip1,jp1,k,bi,bj)) ) |
635 |
|
|
#endif /* KPP_SMOOTH_DVSQ */ |
636 |
|
|
END DO |
637 |
|
|
END DO |
638 |
|
|
END DO |
639 |
|
|
|
640 |
|
|
#endif /* KPP_ESTIMATE_UREF */ |
641 |
|
|
|
642 |
|
|
c shsq computation |
643 |
|
|
DO k = 1, Nrm1 |
644 |
|
|
kp1 = k + 1 |
645 |
|
|
DO j = jmin, jmax |
646 |
|
|
jm1 = j - 1 |
647 |
|
|
jp1 = j + 1 |
648 |
|
|
DO i = imin, imax |
649 |
|
|
im1 = i - 1 |
650 |
|
|
ip1 = i + 1 |
651 |
|
|
shsq(i,j,k) = p5 * ( |
652 |
|
|
$ (uVel(i, j, k,bi,bj)-uVel(i, j, kp1,bi,bj)) * |
653 |
|
|
$ (uVel(i, j, k,bi,bj)-uVel(i, j, kp1,bi,bj)) + |
654 |
|
|
$ (uVel(ip1,j, k,bi,bj)-uVel(ip1,j, kp1,bi,bj)) * |
655 |
|
|
$ (uVel(ip1,j, k,bi,bj)-uVel(ip1,j, kp1,bi,bj)) + |
656 |
|
|
$ (vVel(i, j, k,bi,bj)-vVel(i, j, kp1,bi,bj)) * |
657 |
|
|
$ (vVel(i, j, k,bi,bj)-vVel(i, j, kp1,bi,bj)) + |
658 |
|
|
$ (vVel(i, jp1,k,bi,bj)-vVel(i, jp1,kp1,bi,bj)) * |
659 |
|
|
$ (vVel(i, jp1,k,bi,bj)-vVel(i, jp1,kp1,bi,bj)) ) |
660 |
|
|
#ifdef KPP_SMOOTH_SHSQ |
661 |
|
|
shsq(i,j,k) = p5 * shsq(i,j,k) + p125 * ( |
662 |
|
|
$ (uVel(i, jm1,k,bi,bj)-uVel(i, jm1,kp1,bi,bj)) * |
663 |
|
|
$ (uVel(i, jm1,k,bi,bj)-uVel(i, jm1,kp1,bi,bj)) + |
664 |
|
|
$ (uVel(ip1,jm1,k,bi,bj)-uVel(ip1,jm1,kp1,bi,bj)) * |
665 |
|
|
$ (uVel(ip1,jm1,k,bi,bj)-uVel(ip1,jm1,kp1,bi,bj)) + |
666 |
|
|
$ (uVel(i, jp1,k,bi,bj)-uVel(i, jp1,kp1,bi,bj)) * |
667 |
|
|
$ (uVel(i, jp1,k,bi,bj)-uVel(i, jp1,kp1,bi,bj)) + |
668 |
|
|
$ (uVel(ip1,jp1,k,bi,bj)-uVel(ip1,jp1,kp1,bi,bj)) * |
669 |
|
|
$ (uVel(ip1,jp1,k,bi,bj)-uVel(ip1,jp1,kp1,bi,bj)) + |
670 |
|
|
$ (vVel(im1,j, k,bi,bj)-vVel(im1,j, kp1,bi,bj)) * |
671 |
|
|
$ (vVel(im1,j, k,bi,bj)-vVel(im1,j, kp1,bi,bj)) + |
672 |
|
|
$ (vVel(im1,jp1,k,bi,bj)-vVel(im1,jp1,kp1,bi,bj)) * |
673 |
|
|
$ (vVel(im1,jp1,k,bi,bj)-vVel(im1,jp1,kp1,bi,bj)) + |
674 |
|
|
$ (vVel(ip1,j, k,bi,bj)-vVel(ip1,j, kp1,bi,bj)) * |
675 |
|
|
$ (vVel(ip1,j, k,bi,bj)-vVel(ip1,j, kp1,bi,bj)) + |
676 |
|
|
$ (vVel(ip1,jp1,k,bi,bj)-vVel(ip1,jp1,kp1,bi,bj)) * |
677 |
|
|
$ (vVel(ip1,jp1,k,bi,bj)-vVel(ip1,jp1,kp1,bi,bj)) ) |
678 |
|
|
#endif |
679 |
|
|
END DO |
680 |
|
|
END DO |
681 |
|
|
END DO |
682 |
|
|
|
683 |
heimbach |
1.11 |
cph( |
684 |
heimbach |
1.27 |
#ifdef KPP_AUTODIFF_EXCESSIVE_STORE |
685 |
heimbach |
1.16 |
CADJ store dvsq, shsq = comlev1_kpp, key = ikppkey |
686 |
heimbach |
1.11 |
#endif |
687 |
|
|
cph) |
688 |
|
|
|
689 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
690 |
|
|
c solve for viscosity, diffusivity, ghat, and hbl on "t-grid" |
691 |
|
|
c----------------------------------------------------------------------- |
692 |
|
|
|
693 |
dimitri |
1.36 |
c precompute background vertical diffusivities, which are needed for |
694 |
|
|
c matching diffusivities at bottom of KPP PBL |
695 |
|
|
CALL CALC_3D_DIFFUSIVITY( |
696 |
|
|
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
697 |
|
|
I GAD_SALINITY, .FALSE., .FALSE., |
698 |
|
|
O KPPdiffKzS(1-Olx,1-Oly,1,bi,bj), |
699 |
|
|
I myThid) |
700 |
|
|
CALL CALC_3D_DIFFUSIVITY( |
701 |
|
|
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
702 |
|
|
I GAD_TEMPERATURE, .FALSE., .FALSE., |
703 |
|
|
O KPPdiffKzT(1-Olx,1-Oly,1,bi,bj), |
704 |
|
|
I myThid) |
705 |
|
|
|
706 |
dimitri |
1.34 |
DO j = 1-OLy, sNy+OLy |
707 |
|
|
DO i = 1-OLx, sNx+OLx |
708 |
adcroft |
1.1 |
work1(i,j) = nzmax(i,j,bi,bj) |
709 |
|
|
work2(i,j) = Fcori(i,j,bi,bj) |
710 |
|
|
END DO |
711 |
|
|
END DO |
712 |
|
|
CALL TIMER_START('KPPMIX [KPP_CALC]', myThid) |
713 |
|
|
CALL KPPMIX ( |
714 |
heimbach |
1.4 |
I mytime, mythid |
715 |
|
|
I , work1, shsq, dVsq, ustar |
716 |
adcroft |
1.1 |
I , bo, bosol, dbloc, Ritop, work2 |
717 |
dimitri |
1.36 |
I , KPPdiffKzS(1-Olx,1-Oly,1,bi,bj) |
718 |
|
|
I , KPPdiffKzT(1-Olx,1-Oly,1,bi,bj) |
719 |
heimbach |
1.16 |
I , ikppkey |
720 |
adcroft |
1.1 |
O , vddiff |
721 |
|
|
U , ghat |
722 |
heimbach |
1.4 |
O , hbl ) |
723 |
adcroft |
1.1 |
CALL TIMER_STOP ('KPPMIX [KPP_CALC]', myThid) |
724 |
|
|
|
725 |
|
|
c----------------------------------------------------------------------- |
726 |
heimbach |
1.4 |
c zero out land values and transfer to global variables |
727 |
adcroft |
1.1 |
c----------------------------------------------------------------------- |
728 |
|
|
|
729 |
|
|
DO j = jmin, jmax |
730 |
heimbach |
1.4 |
DO i = imin, imax |
731 |
|
|
DO k = 1, Nr |
732 |
mlosch |
1.35 |
km1 = max(1,k-1) |
733 |
jmc |
1.28 |
KPPviscAz(i,j,k,bi,bj) = vddiff(i,j,k-1,1) * maskC(i,j,k,bi,bj) |
734 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
735 |
jmc |
1.28 |
KPPdiffKzS(i,j,k,bi,bj)= vddiff(i,j,k-1,2) * maskC(i,j,k,bi,bj) |
736 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
737 |
jmc |
1.28 |
KPPdiffKzT(i,j,k,bi,bj)= vddiff(i,j,k-1,3) * maskC(i,j,k,bi,bj) |
738 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
739 |
jmc |
1.28 |
KPPghat(i,j,k,bi,bj) = ghat(i,j,k) * maskC(i,j,k,bi,bj) |
740 |
mlosch |
1.35 |
& * maskC(i,j,km1,bi,bj) |
741 |
heimbach |
1.4 |
END DO |
742 |
mlosch |
1.35 |
k = 1 |
743 |
|
|
#ifdef ALLOW_SHELFICE |
744 |
|
|
if ( useShelfIce ) k = kTopC(i,j,bi,bj) |
745 |
|
|
#endif /* ALLOW_SHELFICE */ |
746 |
|
|
KPPhbl(i,j,bi,bj) = hbl(i,j) * maskC(i,j,k,bi,bj) |
747 |
|
|
|
748 |
heimbach |
1.4 |
END DO |
749 |
adcroft |
1.1 |
END DO |
750 |
|
|
|
751 |
|
|
#ifdef KPP_SMOOTH_VISC |
752 |
|
|
c horizontal smoothing of vertical viscosity |
753 |
|
|
DO k = 1, Nr |
754 |
heimbach |
1.4 |
CALL SMOOTH_HORIZ ( |
755 |
adcroft |
1.1 |
I k, bi, bj, |
756 |
heimbach |
1.4 |
U KPPviscAz(1-OLx,1-OLy,k,bi,bj) ) |
757 |
adcroft |
1.1 |
END DO |
758 |
heimbach |
1.4 |
_EXCH_XYZ_R8(KPPviscAz , myThid ) |
759 |
adcroft |
1.1 |
#endif /* KPP_SMOOTH_VISC */ |
760 |
|
|
|
761 |
|
|
#ifdef KPP_SMOOTH_DIFF |
762 |
|
|
c horizontal smoothing of vertical diffusivity |
763 |
|
|
DO k = 1, Nr |
764 |
heimbach |
1.4 |
CALL SMOOTH_HORIZ ( |
765 |
adcroft |
1.1 |
I k, bi, bj, |
766 |
heimbach |
1.4 |
U KPPdiffKzS(1-OLx,1-OLy,k,bi,bj) ) |
767 |
|
|
CALL SMOOTH_HORIZ ( |
768 |
adcroft |
1.1 |
I k, bi, bj, |
769 |
heimbach |
1.4 |
U KPPdiffKzT(1-OLx,1-OLy,k,bi,bj) ) |
770 |
adcroft |
1.1 |
END DO |
771 |
heimbach |
1.4 |
_EXCH_XYZ_R8(KPPdiffKzS , myThid ) |
772 |
|
|
_EXCH_XYZ_R8(KPPdiffKzT , myThid ) |
773 |
adcroft |
1.1 |
#endif /* KPP_SMOOTH_DIFF */ |
774 |
heimbach |
1.11 |
|
775 |
|
|
cph( |
776 |
|
|
cph crucial: this avoids full recomp./call of kppmix |
777 |
heimbach |
1.16 |
CADJ store KPPhbl = comlev1_kpp, key = ikppkey |
778 |
heimbach |
1.11 |
cph) |
779 |
adcroft |
1.1 |
|
780 |
|
|
C Compute fraction of solar short-wave flux penetrating to |
781 |
|
|
C the bottom of the mixing layer. |
782 |
|
|
DO j=1-OLy,sNy+OLy |
783 |
|
|
DO i=1-OLx,sNx+OLx |
784 |
|
|
worka(i,j) = KPPhbl(i,j,bi,bj) |
785 |
|
|
ENDDO |
786 |
|
|
ENDDO |
787 |
|
|
CALL SWFRAC( |
788 |
heimbach |
1.4 |
I (sNx+2*OLx)*(sNy+2*OLy), minusone, |
789 |
|
|
I mytime, mythid, |
790 |
|
|
U worka ) |
791 |
adcroft |
1.1 |
DO j=1-OLy,sNy+OLy |
792 |
|
|
DO i=1-OLx,sNx+OLx |
793 |
heimbach |
1.4 |
KPPfrac(i,j,bi,bj) = worka(i,j) |
794 |
adcroft |
1.1 |
ENDDO |
795 |
|
|
ENDDO |
796 |
|
|
|
797 |
|
|
ENDIF |
798 |
|
|
|
799 |
adcroft |
1.9 |
#endif /* ALLOW_KPP */ |
800 |
adcroft |
1.1 |
|
801 |
heimbach |
1.8 |
RETURN |
802 |
|
|
END |
803 |
|
|
|
804 |
|
|
subroutine KPP_CALC_DUMMY( |
805 |
|
|
I bi, bj, myTime, myThid ) |
806 |
|
|
C /==========================================================\ |
807 |
|
|
C | SUBROUTINE KPP_CALC_DUMMY | |
808 |
|
|
C | o Compute all KPP fields defined in KPP.h | |
809 |
|
|
C | o Dummy routine for TAMC |
810 |
|
|
C |==========================================================| |
811 |
|
|
C | This subroutine serves as an interface between MITGCMUV | |
812 |
|
|
C | code and NCOM 1-D routines in kpp_routines.F | |
813 |
|
|
C \==========================================================/ |
814 |
|
|
IMPLICIT NONE |
815 |
|
|
|
816 |
|
|
#include "SIZE.h" |
817 |
|
|
#include "EEPARAMS.h" |
818 |
|
|
#include "PARAMS.h" |
819 |
|
|
#include "KPP.h" |
820 |
|
|
#include "KPP_PARAMS.h" |
821 |
|
|
#include "GRID.h" |
822 |
dimitri |
1.36 |
#include "GAD.h" |
823 |
heimbach |
1.8 |
|
824 |
|
|
c Routine arguments |
825 |
|
|
c bi, bj - array indices on which to apply calculations |
826 |
|
|
c myTime - Current time in simulation |
827 |
|
|
|
828 |
|
|
INTEGER bi, bj |
829 |
|
|
INTEGER myThid |
830 |
|
|
_RL myTime |
831 |
|
|
|
832 |
|
|
#ifdef ALLOW_KPP |
833 |
|
|
|
834 |
|
|
c Local constants |
835 |
|
|
integer i, j, k |
836 |
|
|
|
837 |
|
|
DO j=1-OLy,sNy+OLy |
838 |
|
|
DO i=1-OLx,sNx+OLx |
839 |
|
|
KPPhbl (i,j,bi,bj) = 1.0 |
840 |
|
|
KPPfrac(i,j,bi,bj) = 0.0 |
841 |
|
|
DO k = 1,Nr |
842 |
|
|
KPPghat (i,j,k,bi,bj) = 0.0 |
843 |
jmc |
1.21 |
KPPviscAz (i,j,k,bi,bj) = viscAr |
844 |
heimbach |
1.8 |
ENDDO |
845 |
|
|
ENDDO |
846 |
|
|
ENDDO |
847 |
dimitri |
1.36 |
|
848 |
|
|
CALL CALC_3D_DIFFUSIVITY( |
849 |
|
|
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
850 |
|
|
I GAD_SALINITY, .FALSE., .FALSE., |
851 |
|
|
O KPPdiffKzS(1-Olx,1-Oly,1,bi,bj), |
852 |
|
|
I myThid) |
853 |
|
|
CALL CALC_3D_DIFFUSIVITY( |
854 |
|
|
I bi,bj,1-Olx,sNx+OLx,1-Oly,sNy+OLy, |
855 |
|
|
I GAD_TEMPERATURE, .FALSE., .FALSE., |
856 |
|
|
O KPPdiffKzT(1-Olx,1-Oly,1,bi,bj), |
857 |
|
|
I myThid) |
858 |
|
|
|
859 |
heimbach |
1.8 |
#endif |
860 |
adcroft |
1.1 |
RETURN |
861 |
|
|
END |