Newer
Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
#include "../includeF/sfx_def.fi"
module sfx_most_snow
!< @brief MOST surface flux module
! modules used
! --------------------------------------------------------------------------------
#ifdef SFX_CHECK_NAN
use sfx_common
#endif
use sfx_data
use sfx_surface
use sfx_most_snow_param
! --------------------------------------------------------------------------------
! directives list
! --------------------------------------------------------------------------------
implicit none
private
! --------------------------------------------------------------------------------
! public interface
! --------------------------------------------------------------------------------
public :: get_surface_fluxes
public :: get_surface_fluxes_vec
! --------------------------------------------------------------------------------
! --------------------------------------------------------------------------------
type, public :: numericsType
integer :: maxiters_charnock = 10 !< maximum (actual) number of iterations in charnock roughness
integer :: maxiters_snow = 10 !< maximum (actual) number of iterations in snow roughness
end type
! --------------------------------------------------------------------------------
contains
! --------------------------------------------------------------------------------
subroutine get_surface_fluxes_vec(sfx, sfx2, meteo, numerics, n)
!< @brief surface flux calculation for array data
!< @details contains C/C++ & CUDA interface
! ----------------------------------------------------------------------------
type (sfxDataVecType), intent(inout) :: sfx
type (sfxDataAddVecType), intent(inout) :: sfx2
type (meteoDataVecType), intent(in) :: meteo
type (numericsType), intent(in) :: numerics
integer, intent(in) :: n
! ----------------------------------------------------------------------------
! --- local variables
type (meteoDataType) meteo_cell
type (sfxDataType) sfx_cell
type (sfxDataAddType) sfx2_cell
integer i
! ----------------------------------------------------------------------------
do i = 1, n
meteo_cell = meteoDataType(&
h = meteo%h(i), &
U = meteo%U(i), dT = meteo%dT(i), Tsemi = meteo%Tsemi(i), dQ = meteo%dQ(i), &
z0_m = meteo%z0_m(i))
call get_surface_fluxes(sfx_cell, sfx2_cell, meteo_cell, numerics)
call push_sfx_data(sfx, sfx_cell, i)
call push_sfx_data_add(sfx2, sfx2_cell, i)
end do
end subroutine get_surface_fluxes_vec
! --------------------------------------------------------------------------------
! --------------------------------------------------------------------------------
subroutine get_surface_fluxes(sfx, sfx2, meteo, numerics)
!< @brief surface flux calculation for single cell
!< @details contains C/C++ interface
! ----------------------------------------------------------------------------
#ifdef SFX_CHECK_NAN
use ieee_arithmetic
#endif
type (sfxDataType), intent(out) :: sfx
type (sfxDataAddType), intent(out) :: sfx2
type (meteoDataType), intent(in) :: meteo
type (numericsType), intent(in) :: numerics
! ----------------------------------------------------------------------------
! --- meteo derived datatype name shadowing
! ----------------------------------------------------------------------------
real :: h !< constant flux layer height [m]
real :: U !< abs(wind speed) at 'h' [m/s]
real :: dT !< difference between potential temperature at 'h' and at surface [K]
real :: Tsemi !< semi-sum of potential temperature at 'h' and at surface [K]
real :: dQ !< difference between humidity at 'h' and at surface [g/g]
real :: z0_m !< surface aerodynamic roughness (should be < 0 for water bodies surface)
! ----------------------------------------------------------------------------
! --- local variables
! ----------------------------------------------------------------------------
real z0_t !< thermal roughness [m]
real B !< = ln(z0_m / z0_t) [n/d]
real h0_m, h0_t !< = h / z0_m, h / z0_h [n/d]
real u_dyn0 !< dynamic velocity in neutral conditions [m/s]
real Re !< roughness Reynolds number = u_dyn0 * z0_m / nu [n/d]
real zeta !< = z/L [n/d]
real Rib !< bulk Richardson number
real Udyn, Tdyn, Qdyn !< dynamic scales
real phi_m, phi_h !< stability functions (momentum) & (heat) [n/d]
real Km !< eddy viscosity coeff. at h [m^2/s]
real Pr_t_inv !< invese Prandt number [n/d]
real Cm, Ct !< transfer coeff. for (momentum) & (heat) [n/d]
! --- local additional variables
! ----------------------------------------------------------------------------
!real phi_m, phi_m
real hfx, mfx
real S_mean, Lsnow
real z0_s, h_salt
integer surface_type !< surface type = (ocean || land)
#ifdef SFX_CHECK_NAN
real NaN
#endif
! ----------------------------------------------------------------------------
#ifdef SFX_CHECK_NAN
! --- checking if arguments are finite
if (.not.(is_finite(meteo%U).and.is_finite(meteo%Tsemi).and.is_finite(meteo%dT).and.is_finite(meteo%dQ) &
.and.is_finite(meteo%z0_m).and.is_finite(meteo%h))) then
!NaN = ieee_value(0.0, ieee_quiet_nan) ! setting NaN
sfx = sfxDataType(zeta = NaN, Rib = NaN, &
Re = NaN, B = NaN, z0_m = NaN, z0_t = NaN, &
Rib_conv_lim = NaN, &
Cm = NaN, Ct = NaN, Km = NaN, Pr_t_inv = NaN)
sfx2 = sfxDataAddType(phi_m = NaN, phi_h = NaN, &
hfx = NaN, mfx = NaN, Udyn = NaN, S_mean = NaN, &
Lsnow = NaN, &
z0_s = NaN, h_salt = NaN)
return
end if
#endif
! --- shadowing names for clarity
U = meteo%U
Tsemi = meteo%Tsemi
dT = meteo%dT
dQ = meteo%dQ
h = meteo%h
z0_m = meteo%z0_m
! --- define surface type
if (z0_m < 0.0) then
surface_type = surface_ocean
else if (z0_m == 0.0) then
surface_type = surface_snow
else
surface_type = surface_land
end if
if (surface_type == surface_ocean) then
! --- define surface roughness [momentum] & dynamic velocity in neutral conditions
call get_charnock_roughness(z0_m, u_dyn0, U, h, numerics%maxiters_charnock)
! --- define relative height
h0_m = h / z0_m
endif
if (surface_type == surface_snow) then
! --- define surface roughness [momentum] & dynamic velocity in neutral conditions
call get_snow_roughness(z0_m, u_dyn0, U, h, numerics%maxiters_snow)
! --- define relative height
h0_m = h / z0_m
endif
if (surface_type == surface_land) then
! --- define relative height
h0_m = h / z0_m
! --- define dynamic velocity in neutral conditions
u_dyn0 = U * kappa / log(h0_m)
end if
! --- define thermal roughness & B = log(z0_m / z0_h)
Re = u_dyn0 * z0_m / nu_air
call get_thermal_roughness(z0_t, B, z0_m, Re, surface_type, u_dyn0)
! --- define relative height [thermal]
h0_t = h / z0_t
! --- define Ri-bulk
Rib = (g / Tsemi) * h * (dT + 0.61e0 * Tsemi * dQ) / U**2
! --- get the fluxes
! ----------------------------------------------------------------------------
call get_dynamic_scales(Udyn, Tdyn, Qdyn, zeta, &
Lsnow, S_mean, h_salt, &
U, Tsemi, dT, dQ, h, z0_m, z0_t, (g / Tsemi), 10)
! ----------------------------------------------------------------------------
call get_phi(phi_m, phi_h, zeta)
! ----------------------------------------------------------------------------
! --- define transfer coeff. (momentum) & (heat)
Cm = 0.0
if (U > 0.0) then
Cm = Udyn / U
end if
Ct = 0.0
if (abs(dT) > 0.0) then
Ct = Tdyn / dT
end if
! --- define eddy viscosity & inverse Prandtl number
Km = kappa * Cm * U * h / phi_m
Pr_t_inv = phi_m / phi_h
! --- define heat flux and momentum flux
hfx=-rho_air*U*dT*Cm*Ct
mfx=-rho_air*Cm*Cm*U*U
h_salt=h_s
! --- setting output
sfx = sfxDataType(zeta = zeta, Rib = Rib, &
Re = Re, B = B, z0_m = z0_m, z0_t = z0_t, &
Rib_conv_lim = 0.0, &
Cm = Cm, Ct = Ct, Km = Km, Pr_t_inv = Pr_t_inv)
! --- setting additional output
sfx2 = sfxDataAddType(phi_m = phi_m, phi_h = phi_h, &
hfx = hfx, mfx = mfx, Udyn = Udyn, S_mean = S_mean, &
Lsnow = Lsnow, &
z0_s = z0_m, h_salt = h_s)
end subroutine get_surface_fluxes
! --------------------------------------------------------------------------------
!< @brief get dynamic scales
! --------------------------------------------------------------------------------
subroutine get_dynamic_scales(Udyn, Tdyn, Qdyn, zeta, &
Lsnow, S_mean, h_salt, &
U, Tsemi, dT, dQ, z, z0_m, z0_t, beta, maxiters)
! ----------------------------------------------------------------------------
real, intent(out) :: Udyn, Tdyn, Qdyn !< dynamic scales
real, intent(out) :: zeta !< = z/L
real, intent(out) :: Lsnow, S_mean
real, intent(out) :: h_salt
real, intent(in) :: U !< abs(wind speed) at z
real, intent(in) :: Tsemi !< semi-sum of temperature at z and at surface
real, intent(in) :: dT, dQ !< temperature & humidity difference between z and at surface
real, intent(in) :: z !< constant flux layer height
real, intent(in) :: z0_m, z0_t !< roughness parameters
real, intent(in) :: beta !< buoyancy parameter
integer, intent(in) :: maxiters !< maximum number of iterations
! ----------------------------------------------------------------------------
! --- local variables
real, parameter :: gamma = 0.61
real :: psi_m, psi_h
real :: psi0_m, psi0_h
real :: Linv
real :: w_snow, sigma_m
integer :: i
! ----------------------------------------------------------------------------
Udyn = kappa * U / log(z / z0_m)
Tdyn = kappa * dT * Pr_t_0_inv / log(z / z0_t)
Qdyn = kappa * dQ * Pr_t_0_inv / log(z / z0_t)
zeta = 0.0
! --- no wind
if (Udyn < 1e-5) return
Linv = kappa * beta * (Tdyn + gamma * Qdyn * Tsemi) / (Udyn * Udyn)
zeta = z * Linv
! --- near neutral case
if (Linv < 1e-5) return
do i = 1, maxiters
call get_psi(psi_m, psi_h, zeta)
call get_psi_mh(psi0_m, psi0_h, z0_m * Linv, z0_t * Linv)
Udyn = kappa * U / (log(z / z0_m) - (psi_m - psi0_m))
Tdyn = kappa * dT * Pr_t_0_inv / (log(z / z0_t) - (psi_h - psi0_h))
Qdyn = kappa * dQ * Pr_t_0_inv / (log(z / z0_t) - (psi_h - psi0_h))
if (Udyn < 1e-5) exit
Linv = kappa * beta * (Tdyn + gamma * Qdyn * Tsemi) / (Udyn * Udyn)
zeta = z * Linv
if (Udyn>u_thsnow) then
call get_S_mean(S_mean, S_salt, h_s, z)
call get_sigma_m(sigma_m, rho_air, rho_s)
call get_w_snow(w_snow, sigma_m, g, d_s, nu_air)
Linv=Linv*((1-S_mean)/(1+sigma_m*S_mean))+(g*w_snow*sigma_m*S_mean/(Udyn**3.0))/(1+sigma_m*S_mean)
zeta = z * Linv
Lsnow=1/Linv
!write(*,*) S_mean, sigma_m, w_snow
!pause
!stop
endif
end do
end subroutine get_dynamic_scales
! --------------------------------------------------------------------------------
! stability functions
! --------------------------------------------------------------------------------
subroutine get_phi(phi_m, phi_h, zeta)
!< @brief stability functions (momentum) & (heat): neutral case
! ----------------------------------------------------------------------------
real, intent(out) :: phi_m, phi_h !< stability functions
real, intent(in) :: zeta !< = z/L
! ----------------------------------------------------------------------------
if (zeta >= 0.0) then
phi_m = 1.0 + beta_m * zeta
phi_h = 1.0 + beta_h * zeta
else
phi_m = (1.0 - alpha_m * zeta)**(-0.25)
phi_h = (1.0 - alpha_h * zeta)**(-0.5)
end if
end subroutine
! --------------------------------------------------------------------------------
subroutine get_S_mean(S_mean, S_salt, h_s, z)
!< @brief function for snow consentration
! ----------------------------------------------------------------------------
real, intent(out) :: S_mean !< snow consentration
real, intent(in) :: S_salt, h_s, z
! ----------------------------------------------------------------------------
S_mean = S_salt * h_s/z
end subroutine
! --------------
subroutine get_sigma_m(sigma_m, rho_air, rho_s)
!< @brief function for
! ----------------------------------------------------------------------------
real, intent(out) :: sigma_m !< s
real, intent(in) :: rho_air, rho_s
! ----------------------------------------------------------------------------
sigma_m = (rho_s - rho_air)/rho_air
end subroutine
subroutine get_w_snow(w_snow, sigma_m, g, d_s, nu_air)
!< @brief function for smow velosity
! ----------------------------------------------------------------------------
real, intent(out) :: w_snow !<
real, intent(in) :: sigma_m, g, d_s, nu_air
! ----------------------------------------------------------------------------
w_snow = sigma_m * g * d_s * d_s / (18.0 * nu_air);
end subroutine
! universal functions
! --------------------------------------------------------------------------------
subroutine get_psi(psi_m, psi_h, zeta)
!< @brief universal functions (momentum) & (heat): neutral case
! ----------------------------------------------------------------------------
real, intent(out) :: psi_m, psi_h !< universal functions
real, intent(in) :: zeta !< = z/L
! ----------------------------------------------------------------------------
! --- local variables
real :: x_m, x_h
! ----------------------------------------------------------------------------
if (zeta >= 0.0) then
psi_m = -beta_m * zeta;
psi_h = -beta_h * zeta;
else
x_m = (1.0 - alpha_m * zeta)**(0.25)
x_h = (1.0 - alpha_h * zeta)**(0.25)
psi_m = (4.0 * atan(1.0) / 2.0) + 2.0 * log(0.5 * (1.0 + x_m)) + log(0.5 * (1.0 + x_m * x_m)) - 2.0 * atan(x_m)
psi_h = 2.0 * log(0.5 * (1.0 + x_h * x_h))
end if
end subroutine
subroutine get_psi_mh(psi_m, psi_h, zeta_m, zeta_h)
!< @brief universal functions (momentum) & (heat): neutral case
! ----------------------------------------------------------------------------
real, intent(out) :: psi_m, psi_h !< universal functions
real, intent(in) :: zeta_m, zeta_h !< = z/L
! ----------------------------------------------------------------------------
! --- local variables
real :: x_m, x_h
! ----------------------------------------------------------------------------
if (zeta_m >= 0.0) then
psi_m = -beta_m * zeta_m
else
x_m = (1.0 - alpha_m * zeta_m)**(0.25)
psi_m = (4.0 * atan(1.0) / 2.0) + 2.0 * log(0.5 * (1.0 + x_m)) + log(0.5 * (1.0 + x_m * x_m)) - 2.0 * atan(x_m)
end if
if (zeta_h >= 0.0) then
psi_h = -beta_h * zeta_h;
else
x_h = (1.0 - alpha_h * zeta_h)**(0.25)
psi_h = 2.0 * log(0.5 * (1.0 + x_h * x_h))
end if
end subroutine
! --------------------------------------------------------------------------------
end module sfx_most_snow