| 1 |
! $Header: $ |
| 2 |
! $Name: $ |
| 3 |
|
| 4 |
MODULE MY25_TURB_MOD |
| 5 |
|
| 6 |
!======================================================================= |
| 7 |
! MELLOR-YAMADA LEVEL 2.5 TURBULENCE CLOSURE SCHEME - GFDL VERSION ! |
| 8 |
!======================================================================= |
| 9 |
|
| 10 |
! use Fms_Mod, ONLY: FILE_EXIST, OPEN_NAMELIST_FILE, ERROR_MESG, FATAL,& |
| 11 |
! read_data, write_data, CLOSE_FILE,& |
| 12 |
! check_nml_error,mpp_pe, mpp_root_pe, & |
| 13 |
! write_version_number, stdlog, open_file |
| 14 |
! use Tridiagonal_Mod, ONLY: TRI_INVERT, CLOSE_TRIDIAGONAL |
| 15 |
use constants_mod, only: grav, vonkarm |
| 16 |
use monin_obukhov_mod, only : mo_diff |
| 17 |
|
| 18 |
!--------------------------------------------------------------------- |
| 19 |
implicit none |
| 20 |
private |
| 21 |
!--------------------------------------------------------------------- |
| 22 |
|
| 23 |
public :: MY25_TURB, MY25_TURB_INIT, MY25_TURB_END, TKE_SURF |
| 24 |
|
| 25 |
!--------------------------------------------------------------------- |
| 26 |
! --- GLOBAL STORAGE |
| 27 |
!--------------------------------------------------------------------- |
| 28 |
|
| 29 |
real, public, allocatable, dimension(:,:,:) :: TKE |
| 30 |
|
| 31 |
!--------------------------------------------------------------------- |
| 32 |
|
| 33 |
character(len=128) :: version = '$Id: my25_turb_mod.F90,v 1.1 2012/09/11 03:53:05 jmc Exp $' |
| 34 |
character(len=128) :: tag = '$Name: $' |
| 35 |
|
| 36 |
logical :: do_init = .true. |
| 37 |
logical :: init_tke |
| 38 |
integer :: num_total_pts, pts_done |
| 39 |
|
| 40 |
!--------------------------------------------------------------------- |
| 41 |
! --- CONSTANTS |
| 42 |
!--------------------------------------------------------------------- |
| 43 |
|
| 44 |
real :: aa1, aa2, bb1, bb2, ccc |
| 45 |
real :: ckm1, ckm2, ckm3, ckm4, ckm5, ckm6, ckm7, ckm8 |
| 46 |
real :: ckh1, ckh2, ckh3, ckh4 |
| 47 |
real :: cvfq1, cvfq2, bcq |
| 48 |
|
| 49 |
real, parameter :: aa1_old = 0.78 |
| 50 |
real, parameter :: aa2_old = 0.79 |
| 51 |
real, parameter :: bb1_old = 15.0 |
| 52 |
real, parameter :: bb2_old = 8.0 |
| 53 |
real, parameter :: ccc_old = 0.056 |
| 54 |
real, parameter :: aa1_new = 0.92 |
| 55 |
real, parameter :: aa2_new = 0.74 |
| 56 |
real, parameter :: bb1_new = 16.0 |
| 57 |
real, parameter :: bb2_new = 10.0 |
| 58 |
real, parameter :: ccc_new = 0.08 |
| 59 |
real, parameter :: cc1 = 0.27 |
| 60 |
real, parameter :: t00 = 2.7248e2 |
| 61 |
real, parameter :: small = 1.0e-10 |
| 62 |
|
| 63 |
!--------------------------------------------------------------------- |
| 64 |
! --- NAMELIST |
| 65 |
!--------------------------------------------------------------------- |
| 66 |
|
| 67 |
real :: TKEmax = 5.0 |
| 68 |
real :: TKEmin = 0.0 |
| 69 |
real :: el0max = 1.0e6 |
| 70 |
real :: el0min = 0.0 |
| 71 |
real :: alpha_land = 0.10 |
| 72 |
real :: alpha_sea = 0.10 |
| 73 |
real :: akmax = 1.0e4 |
| 74 |
real :: akmin_land = 5.0 |
| 75 |
real :: akmin_sea = 0.0 |
| 76 |
integer :: nk_lim = 2 |
| 77 |
integer :: init_iters = 20 |
| 78 |
logical :: do_thv_stab = .true. |
| 79 |
logical :: use_old_cons = .false. |
| 80 |
real :: kcrit = 0.01 |
| 81 |
|
| 82 |
NAMELIST / my25_turb_nml / & |
| 83 |
TKEmax, TKEmin, init_iters, & |
| 84 |
akmax, akmin_land, akmin_sea, nk_lim, & |
| 85 |
el0max, el0min, alpha_land, alpha_sea, & |
| 86 |
do_thv_stab, use_old_cons, & |
| 87 |
kcrit |
| 88 |
|
| 89 |
!--------------------------------------------------------------------- |
| 90 |
|
| 91 |
contains |
| 92 |
|
| 93 |
!####################################################################### |
| 94 |
|
| 95 |
SUBROUTINE MY25_TURB( delt, fracland, phalf, pfull, theta, & |
| 96 |
um, vm, zhalf, zfull, z0, & |
| 97 |
TKE, el0, el, akm, akh, & |
| 98 |
mask, kbot, ustar, bstar, h ) |
| 99 |
|
| 100 |
!======================================================================= |
| 101 |
!--------------------------------------------------------------------- |
| 102 |
! Arguments (Intent in) |
| 103 |
! delt - Time step in seconds |
| 104 |
! fracland - Fractional amount of land beneath a grid box |
| 105 |
! phalf - Pressure at half levels |
| 106 |
! pfull - Pressure at full levels |
| 107 |
! theta - Potential temperature |
| 108 |
! um, vm - Wind components |
| 109 |
! zhalf - Height at half levels |
| 110 |
! zfull - Height at full levels |
| 111 |
! z0 - Roughness length |
| 112 |
! mask - OPTIONAL; floating point mask (0. or 1.) designating |
| 113 |
! where data is present |
| 114 |
! kbot - OPTIONAL;lowest model level index (integer); |
| 115 |
! at levels > kbot, mask = 0. |
| 116 |
! ustar - OPTIONAL:friction velocity (m/sec) |
| 117 |
! bstar - OPTIONAL:buoyancy scale (m/sec**2) |
| 118 |
!--------------------------------------------------------------------- |
| 119 |
real, intent(in) :: delt |
| 120 |
real, intent(in), dimension(:,:) :: fracland, z0 |
| 121 |
real, intent(in), dimension(:,:,:) :: phalf, pfull, zhalf, zfull |
| 122 |
real, intent(in), dimension(:,:,:) :: um, vm, theta |
| 123 |
|
| 124 |
integer, intent(in), OPTIONAL, dimension(:,:) :: kbot |
| 125 |
real, intent(in), OPTIONAL, dimension(:,:,:) :: mask |
| 126 |
real, intent(in), OPTIONAL, dimension(:,:) :: ustar, bstar |
| 127 |
|
| 128 |
!--------------------------------------------------------------------- |
| 129 |
! Arguments (Intent in/out) |
| 130 |
! TKE - turbulent kinetic energy |
| 131 |
!--------------------------------------------------------------------- |
| 132 |
real, intent(inout), dimension(:,:,:) :: TKE |
| 133 |
|
| 134 |
!--------------------------------------------------------------------- |
| 135 |
! Arguments (Intent out) |
| 136 |
! el0 - characteristic length scale |
| 137 |
! el - master length scale |
| 138 |
! akm - mixing coefficient for momentum |
| 139 |
! akh - mixing coefficient for heat and moisture |
| 140 |
! h - OPTIONAL, diagnosed depth of planetary boundary |
| 141 |
! layer (m) |
| 142 |
!--------------------------------------------------------------------- |
| 143 |
real, intent(out), dimension(:,:) :: el0 |
| 144 |
real, intent(out), dimension(:,:,:) :: akm, akh, el |
| 145 |
real, intent(out), OPTIONAL, dimension(:,:) :: h |
| 146 |
|
| 147 |
!--------------------------------------------------------------------- |
| 148 |
! (Intent local) |
| 149 |
!--------------------------------------------------------------------- |
| 150 |
integer :: ix, jx, kx, i, j, k |
| 151 |
integer :: kxp, kxm, klim, it, itermax |
| 152 |
real :: cvfqdt, dvfqdt |
| 153 |
|
| 154 |
real, dimension(SIZE(um,1),SIZE(um,2)) :: zsfc, x1, x2, akmin |
| 155 |
|
| 156 |
real, dimension(SIZE(um,1),SIZE(um,2),SIZE(um,3)-1) :: & |
| 157 |
dsdzh, shear, buoync, qm2, qm3, qm4, el2, & |
| 158 |
aaa, bbb, ccc, ddd, & |
| 159 |
xxm1, xxm2, xxm3, xxm4, xxm5 |
| 160 |
|
| 161 |
real, dimension(SIZE(um,1),SIZE(um,2),SIZE(um,3)) :: & |
| 162 |
dsdz, qm, xx1, xx2 |
| 163 |
|
| 164 |
!==================================================================== |
| 165 |
|
| 166 |
! --- Check to see if MY25_TURB has been initialized |
| 167 |
!del if( do_init ) CALL ERROR_MESG( ' MY25_TURB', & |
| 168 |
!del ' MY25_TURB_INIT has not been called',& |
| 169 |
!del FATAL ) |
| 170 |
|
| 171 |
! --- Set dimensions etc |
| 172 |
ix = SIZE( um, 1 ) |
| 173 |
jx = SIZE( um, 2 ) |
| 174 |
kx = SIZE( um, 3 ) |
| 175 |
kxp = kx + 1 |
| 176 |
kxm = kx - 1 |
| 177 |
|
| 178 |
!==================================================================== |
| 179 |
! --- SURFACE HEIGHT |
| 180 |
!==================================================================== |
| 181 |
|
| 182 |
if( PRESENT( kbot ) ) then |
| 183 |
do j = 1,jx |
| 184 |
do i = 1,ix |
| 185 |
k = kbot(i,j) + 1 |
| 186 |
zsfc(i,j) = zhalf(i,j,k) |
| 187 |
end do |
| 188 |
end do |
| 189 |
else |
| 190 |
zsfc(:,:) = zhalf(:,:,kxp) |
| 191 |
endif |
| 192 |
|
| 193 |
!==================================================================== |
| 194 |
! --- D( )/DZ OPERATORS: AT FULL LEVELS & AT HALF LEVELS |
| 195 |
!==================================================================== |
| 196 |
|
| 197 |
dsdz(:,:,1:kx) = 1.0 / ( zhalf(:,:,2:kxp) - zhalf(:,:,1:kx) ) |
| 198 |
dsdzh(:,:,1:kxm) = 1.0 / ( zfull(:,:,2:kx) - zfull(:,:,1:kxm) ) |
| 199 |
|
| 200 |
!==================================================================== |
| 201 |
! --- WIND SHEAR |
| 202 |
!==================================================================== |
| 203 |
|
| 204 |
xxm1(:,:,1:kxm) = dsdzh(:,:,1:kxm)*( um(:,:,2:kx) - um(:,:,1:kxm) ) |
| 205 |
xxm2(:,:,1:kxm) = dsdzh(:,:,1:kxm)*( vm(:,:,2:kx) - vm(:,:,1:kxm) ) |
| 206 |
|
| 207 |
shear = xxm1 * xxm1 + xxm2 * xxm2 |
| 208 |
|
| 209 |
!==================================================================== |
| 210 |
! --- BUOYANCY |
| 211 |
!==================================================================== |
| 212 |
|
| 213 |
xxm1(:,:,1:kxm) = theta(:,:,2:kx) - theta(:,:,1:kxm) |
| 214 |
|
| 215 |
if( do_thv_stab ) then |
| 216 |
xxm2(:,:,1:kxm) = 0.5*( theta(:,:,2:kx) + theta(:,:,1:kxm) ) |
| 217 |
else |
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xxm2(:,:,1:kxm) = t00 |
| 219 |
end if |
| 220 |
|
| 221 |
buoync = grav * dsdzh * xxm1 / xxm2 |
| 222 |
|
| 223 |
!==================================================================== |
| 224 |
! --- MASK OUT UNDERGROUND VALUES FOR ETA COORDINATE |
| 225 |
!==================================================================== |
| 226 |
|
| 227 |
if( PRESENT( mask ) ) then |
| 228 |
where (mask(:,:,2:kx) < 0.1) ! assume mask(k=1) always eq 1 ? |
| 229 |
TKE(:,:,3:kxp) = 0.0 |
| 230 |
dsdz(:,:,2:kx ) = 0.0 |
| 231 |
dsdzh(:,:,1:kxm) = 0.0 |
| 232 |
shear(:,:,1:kxm) = 0.0 |
| 233 |
buoync(:,:,1:kxm) = 0.0 |
| 234 |
endwhere |
| 235 |
endif |
| 236 |
|
| 237 |
!==================================================================== |
| 238 |
! --- SET ITERATION LOOP IF INITALIZING TKE |
| 239 |
!==================================================================== |
| 240 |
|
| 241 |
itermax = 1 |
| 242 |
if (init_tke) then |
| 243 |
itermax = init_iters |
| 244 |
pts_done = pts_done + ix*jx |
| 245 |
if (pts_done >= num_total_pts) init_tke = .false. |
| 246 |
endif |
| 247 |
|
| 248 |
! $$$$$$$$$$$$$$$$$ |
| 249 |
do it = 1,itermax |
| 250 |
! $$$$$$$$$$$$$$$$$ |
| 251 |
|
| 252 |
!==================================================================== |
| 253 |
! --- SOME TKE STUFF |
| 254 |
!==================================================================== |
| 255 |
|
| 256 |
xx1(:,:,1:kx) = 2.0 * TKE(:,:,2:kxp) |
| 257 |
where (xx1(:,:,1:kx) > 0.0) |
| 258 |
qm(:,:,1:kx) = SQRT( xx1(:,:,1:kx) ) |
| 259 |
elsewhere |
| 260 |
qm(:,:,1:kx) = 0.0 |
| 261 |
endwhere |
| 262 |
|
| 263 |
qm2(:,:,1:kxm) = xx1(:,:,1:kxm) |
| 264 |
qm3(:,:,1:kxm) = qm(:,:,1:kxm) * qm2(:,:,1:kxm) |
| 265 |
qm4(:,:,1:kxm) = qm2(:,:,1:kxm) * qm2(:,:,1:kxm) |
| 266 |
|
| 267 |
!==================================================================== |
| 268 |
! --- CHARACTERISTIC LENGTH SCALE |
| 269 |
!==================================================================== |
| 270 |
|
| 271 |
xx1(:,:,1:kxm) = qm(:,:,1:kxm)*( pfull(:,:,2:kx) - pfull(:,:,1:kxm) ) |
| 272 |
do k = 1, kxm |
| 273 |
xx2(:,:,k) = xx1(:,:,k) * ( zhalf(:,:,k+1) - zsfc(:,:) ) |
| 274 |
end do |
| 275 |
|
| 276 |
if( PRESENT( kbot ) ) then |
| 277 |
xx1(:,:,kx) = 0.0 |
| 278 |
xx2(:,:,kx) = 0.0 |
| 279 |
do j = 1,jx |
| 280 |
do i = 1,ix |
| 281 |
k = kbot(i,j) |
| 282 |
xx1(i,j,k) = qm(i,j,k) * ( phalf(i,j,k+1) - pfull(i,j,k) ) |
| 283 |
xx2(i,j,k) = xx1(i,j,k) * z0(i,j) |
| 284 |
end do |
| 285 |
end do |
| 286 |
else |
| 287 |
xx1(:,:,kx) = qm(:,:,kx) * ( phalf(:,:,kxp) - pfull(:,:,kx) ) |
| 288 |
xx2(:,:,kx) = xx1(:,:,kx) * z0(:,:) |
| 289 |
endif |
| 290 |
|
| 291 |
if (PRESENT(mask)) then |
| 292 |
x1 = SUM( xx1, 3, mask=mask.gt.0.1 ) |
| 293 |
x2 = SUM( xx2, 3, mask=mask.gt.0.1 ) |
| 294 |
else |
| 295 |
x1 = SUM( xx1, 3 ) |
| 296 |
x2 = SUM( xx2, 3 ) |
| 297 |
endif |
| 298 |
|
| 299 |
!---- should never be equal to zero ---- |
| 300 |
!del if (count(x1 <= 0.0) > 0) CALL ERROR_MESG( ' MY25_TURB', & |
| 301 |
!del 'divid by zero, x1 <= 0.0', FATAL) |
| 302 |
el0 = x2 / x1 |
| 303 |
el0 = el0 * (alpha_land*fracland + alpha_sea*(1.-fracland)) |
| 304 |
|
| 305 |
el0 = MIN( el0, el0max ) |
| 306 |
el0 = MAX( el0, el0min ) |
| 307 |
|
| 308 |
!==================================================================== |
| 309 |
! --- MASTER LENGTH SCALE |
| 310 |
!==================================================================== |
| 311 |
|
| 312 |
do k = 1, kxm |
| 313 |
xx1(:,:,k) = vonkarm * ( zhalf(:,:,k+1) - zsfc(:,:) ) |
| 314 |
end do |
| 315 |
|
| 316 |
x1(:,:) = vonkarm * z0(:,:) |
| 317 |
|
| 318 |
if( PRESENT( kbot ) ) then |
| 319 |
do j = 1,jx |
| 320 |
do i = 1,ix |
| 321 |
do k = kbot(i,j), kx |
| 322 |
xx1(i,j,k) = x1(i,j) |
| 323 |
end do |
| 324 |
end do |
| 325 |
end do |
| 326 |
else |
| 327 |
xx1(:,:,kx) = x1(:,:) |
| 328 |
endif |
| 329 |
|
| 330 |
do k = 1,kx |
| 331 |
el(:,:,k+1) = xx1(:,:,k) / ( 1.0 + xx1(:,:,k) / el0(:,:) ) |
| 332 |
end do |
| 333 |
el(:,:,1) = el0(:,:) |
| 334 |
|
| 335 |
el2(:,:,1:kxm) = el(:,:,2:kx) * el(:,:,2:kx) |
| 336 |
|
| 337 |
!==================================================================== |
| 338 |
! --- MIXING COEFFICIENTS |
| 339 |
!==================================================================== |
| 340 |
|
| 341 |
xxm3(:,:,1:kxm) = el2(:,:,1:kxm)*buoync(:,:,1:kxm) |
| 342 |
xxm4(:,:,1:kxm) = el2(:,:,1:kxm)* shear(:,:,1:kxm) |
| 343 |
xxm5(:,:,1:kxm) = el(:,:,2:kx )* qm3(:,:,1:kxm) |
| 344 |
|
| 345 |
!------------------------------------------------------------------- |
| 346 |
! --- MOMENTUM |
| 347 |
!------------------------------------------------------------------- |
| 348 |
|
| 349 |
xxm1 = xxm5*( ckm1*qm2 + ckm2*xxm3 ) |
| 350 |
xxm2 = qm4 + ckm5*qm2*xxm4 + xxm3*( ckm6*xxm4 + ckm7*qm2 + ckm8*xxm3 ) |
| 351 |
|
| 352 |
xxm2 = MAX( xxm2, 0.2*qm4 ) |
| 353 |
xxm2 = MAX( xxm2, small ) |
| 354 |
|
| 355 |
akm(:,:,1) = 0.0 |
| 356 |
akm(:,:,2:kx) = xxm1(:,:,1:kxm) / xxm2(:,:,1:kxm) |
| 357 |
|
| 358 |
akm = MAX( akm, 0.0 ) |
| 359 |
|
| 360 |
!------------------------------------------------------------------- |
| 361 |
! --- HEAT AND MOISTURE |
| 362 |
!------------------------------------------------------------------- |
| 363 |
|
| 364 |
xxm1(:,:,1:kxm) = ckh1*xxm5(:,:,1:kxm) - ckh2*xxm4(:,:,1:kxm)*akm(:,:,2:kx) |
| 365 |
xxm2(:,:,1:kxm) = qm2(:,:,1:kxm) + ckh3*xxm3(:,:,1:kxm) |
| 366 |
|
| 367 |
xxm1 = MAX( xxm1, ckh4*xxm5 ) |
| 368 |
xxm2 = MAX( xxm2, 0.4*qm2 ) |
| 369 |
xxm2 = MAX( xxm2, small ) |
| 370 |
|
| 371 |
akh(:,:,1) = 0.0 |
| 372 |
akh(:,:,2:kx) = xxm1(:,:,1:kxm) / xxm2(:,:,1:kxm) |
| 373 |
|
| 374 |
!------------------------------------------------------------------- |
| 375 |
! --- BOUNDS |
| 376 |
!------------------------------------------------------------------- |
| 377 |
|
| 378 |
! --- UPPER BOUND |
| 379 |
akm = MIN( akm, akmax ) |
| 380 |
akh = MIN( akh, akmax ) |
| 381 |
|
| 382 |
! --- LOWER BOUND |
| 383 |
! where( akm(:,:,1:klim) < small ) akm(:,:,1:klim) = 0.0 |
| 384 |
! where( akh(:,:,1:klim) < small ) akh(:,:,1:klim) = 0.0 |
| 385 |
|
| 386 |
! --- LOWER BOUND NEAR SURFACE |
| 387 |
|
| 388 |
akmin = akmin_land*fracland + akmin_sea*(1.-fracland) |
| 389 |
|
| 390 |
if( PRESENT( kbot ) ) then |
| 391 |
do j = 1,jx |
| 392 |
do i = 1,ix |
| 393 |
klim = kbot(i,j) - nk_lim + 1 |
| 394 |
do k = klim,kbot(i,j) |
| 395 |
akm(i,j,k) = MAX( akm(i,j,k), akmin(i,j) ) |
| 396 |
akh(i,j,k) = MAX( akh(i,j,k), akmin(i,j) ) |
| 397 |
end do |
| 398 |
end do |
| 399 |
end do |
| 400 |
else |
| 401 |
klim = kx - nk_lim + 1 |
| 402 |
do k = klim,kx |
| 403 |
akm(:,:,k) = MAX( akm(:,:,k), akmin(:,:) ) |
| 404 |
akh(:,:,k) = MAX( akh(:,:,k), akmin(:,:) ) |
| 405 |
end do |
| 406 |
endif |
| 407 |
|
| 408 |
!------------------------------------------------------------------- |
| 409 |
! --- MASK OUT UNDERGROUND VALUES FOR ETA COORDINATE |
| 410 |
!------------------------------------------------------------------- |
| 411 |
|
| 412 |
if( PRESENT( mask ) ) then |
| 413 |
akm(:,:,1:kx) = akm(:,:,1:kx) * mask(:,:,1:kx) |
| 414 |
akh(:,:,1:kx) = akh(:,:,1:kx) * mask(:,:,1:kx) |
| 415 |
endif |
| 416 |
|
| 417 |
!==================================================================== |
| 418 |
! --- PROGNOSTICATE TURBULENT KE |
| 419 |
!==================================================================== |
| 420 |
|
| 421 |
cvfqdt = cvfq1 * delt |
| 422 |
dvfqdt = cvfq2 * delt * 2.0 |
| 423 |
|
| 424 |
!------------------------------------------------------------------- |
| 425 |
! --- PART OF LINEARIZED ENERGY DISIIPATION TERM |
| 426 |
!------------------------------------------------------------------- |
| 427 |
|
| 428 |
xxm1(:,:,1:kxm) = dvfqdt * qm(:,:,1:kxm) / el(:,:,2:kx) |
| 429 |
|
| 430 |
!------------------------------------------------------------------- |
| 431 |
! --- PART OF LINEARIZED VERTICAL DIFFUSION TERM |
| 432 |
!------------------------------------------------------------------- |
| 433 |
|
| 434 |
xx1(:,:,1:kx) = el(:,:,2:kxp) * qm(:,:,1:kx) |
| 435 |
|
| 436 |
xx2(:,:,1) = 0.5* xx1(:,:,1) |
| 437 |
xx2(:,:,2:kx) = 0.5*( xx1(:,:,2:kx) + xx1(:,:,1:kxm) ) |
| 438 |
|
| 439 |
xx1 = xx2 * dsdz |
| 440 |
|
| 441 |
!------------------------------------------------------------------- |
| 442 |
! --- IMPLICIT TIME DIFFERENCING FOR VERTICAL DIFFUSION |
| 443 |
! --- AND ENERGY DISSIPATION TERM |
| 444 |
!------------------------------------------------------------------- |
| 445 |
|
| 446 |
aaa(:,:,1:kxm) = -cvfqdt * xx1(:,:,2:kx ) * dsdzh(:,:,1:kxm) |
| 447 |
ccc(:,:,1:kxm) = -cvfqdt * xx1(:,:,1:kxm) * dsdzh(:,:,1:kxm) |
| 448 |
bbb(:,:,1:kxm) = 1.0 - aaa(:,:,1:kxm) - ccc(:,:,1:kxm) |
| 449 |
bbb(:,:,1:kxm) = bbb(:,:,1:kxm) + xxm1(:,:,1:kxm) |
| 450 |
ddd(:,:,1:kxm) = TKE(:,:,2:kx ) |
| 451 |
|
| 452 |
! correction for vertical diffusion of TKE surface boundary condition |
| 453 |
|
| 454 |
if (present(kbot)) then |
| 455 |
do j = 1,jx |
| 456 |
do i = 1,ix |
| 457 |
k = kbot(i,j) |
| 458 |
ddd(:,:,k-1) = ddd(:,:,k-1) - aaa(:,:,k-1) * TKE(:,:,k+1) |
| 459 |
enddo |
| 460 |
enddo |
| 461 |
else |
| 462 |
ddd(:,:,kxm) = ddd(:,:,kxm) - aaa(:,:,kxm) * TKE(:,:,kxp) |
| 463 |
endif |
| 464 |
|
| 465 |
! mask out terms below ground |
| 466 |
|
| 467 |
if (present(mask)) then |
| 468 |
where (mask(:,:,2:kx) < 0.1) ddd(:,:,1:kxm) = 0.0 |
| 469 |
endif |
| 470 |
|
| 471 |
|
| 472 |
!del CALL TRI_INVERT( xxm1, ddd, aaa, bbb, ccc ) |
| 473 |
!del CALL CLOSE_TRIDIAGONAL |
| 474 |
|
| 475 |
!------------------------------------------------------------------- |
| 476 |
! --- MASK OUT UNDERGROUND VALUES FOR ETA COORDINATE |
| 477 |
!------------------------------------------------------------------- |
| 478 |
|
| 479 |
if( PRESENT( mask ) ) then |
| 480 |
where (mask(:,:,2:kx) < 0.1) xxm1(:,:,1:kxm) = TKE(:,:,2:kx) |
| 481 |
endif |
| 482 |
|
| 483 |
!------------------------------------------------------------------- |
| 484 |
! --- SHEAR AND BUOYANCY TERMS |
| 485 |
!------------------------------------------------------------------- |
| 486 |
|
| 487 |
xxm2(:,:,1:kxm) = delt*( akm(:,:,2:kx)* shear(:,:,1:kxm) & |
| 488 |
- akh(:,:,2:kx)*buoync(:,:,1:kxm) ) |
| 489 |
|
| 490 |
!------------------------------------------------------------------- |
| 491 |
! --- UPDATE TURBULENT KINETIC ENERGY |
| 492 |
!------------------------------------------------------------------- |
| 493 |
|
| 494 |
TKE(:,:,1) = 0.0 |
| 495 |
TKE(:,:,2:kx) = xxm1(:,:,1:kxm) + xxm2(:,:,1:kxm) |
| 496 |
|
| 497 |
!==================================================================== |
| 498 |
! --- BOUND TURBULENT KINETIC ENERGY |
| 499 |
!==================================================================== |
| 500 |
|
| 501 |
TKE = MIN( TKE, TKEmax ) |
| 502 |
TKE = MAX( TKE, TKEmin ) |
| 503 |
|
| 504 |
if( PRESENT( mask ) ) then |
| 505 |
where (mask(:,:,1:kx) < 0.1) TKE(:,:,2:kxp) = 0.0 |
| 506 |
endif |
| 507 |
|
| 508 |
!==================================================================== |
| 509 |
! --- COMPUTE PBL DEPTH IF DESIRED |
| 510 |
!==================================================================== |
| 511 |
|
| 512 |
if (present(h)) then |
| 513 |
|
| 514 |
if (.not.present(ustar).or..not.present(bstar)) then |
| 515 |
!del CALL ERROR_MESG( ' MY25_TURB', & |
| 516 |
!del 'cannot request pbl depth diagnostic if ustar'// & |
| 517 |
!del ' and bstar are not also supplied', FATAL ) |
| 518 |
end if |
| 519 |
if (present(kbot)) then |
| 520 |
call k_pbl_depth(ustar,bstar,akm,akh,zsfc,zfull,zhalf,& |
| 521 |
h,kbot=kbot) |
| 522 |
else |
| 523 |
call k_pbl_depth(ustar,bstar,akm,akh,zsfc,zfull,zhalf,h) |
| 524 |
end if |
| 525 |
|
| 526 |
end if |
| 527 |
!==================================================================== |
| 528 |
|
| 529 |
! $$$$$$$$$$$$$$$$$ |
| 530 |
end do |
| 531 |
! $$$$$$$$$$$$$$$$$ |
| 532 |
|
| 533 |
!==================================================================== |
| 534 |
end SUBROUTINE MY25_TURB |
| 535 |
|
| 536 |
!####################################################################### |
| 537 |
|
| 538 |
SUBROUTINE MY25_TURB_INIT( ix, jx, kx ) |
| 539 |
|
| 540 |
!======================================================================= |
| 541 |
! ***** INITIALIZE MELLOR-YAMADA |
| 542 |
!======================================================================= |
| 543 |
!--------------------------------------------------------------------- |
| 544 |
! Arguments (Intent in) |
| 545 |
! ix, jx - Horizontal dimensions for global storage arrays |
| 546 |
! kx - Number of vertical levels in model |
| 547 |
!--------------------------------------------------------------------- |
| 548 |
integer, intent(in) :: ix, jx, kx |
| 549 |
!--------------------------------------------------------------------- |
| 550 |
! (Intent local) |
| 551 |
!--------------------------------------------------------------------- |
| 552 |
integer :: unit, io, ierr |
| 553 |
real :: actp, facm |
| 554 |
real, dimension(15) :: au, tem |
| 555 |
|
| 556 |
!===================================================================== |
| 557 |
|
| 558 |
!--------------------------------------------------------------------- |
| 559 |
! --- Read namelist |
| 560 |
!--------------------------------------------------------------------- |
| 561 |
|
| 562 |
!del if( FILE_EXIST( 'input.nml' ) ) then |
| 563 |
! ------------------------------------- |
| 564 |
!del unit = OPEN_NAMELIST_FILE () |
| 565 |
!del ierr = 1 |
| 566 |
!del do while( ierr .ne. 0 ) |
| 567 |
!del READ ( unit, nml = my25_turb_nml, iostat = io, end = 10 ) |
| 568 |
!del ierr = check_nml_error (io, 'my25_turb_nml') |
| 569 |
!del end do |
| 570 |
10 continue |
| 571 |
!del CALL CLOSE_FILE( unit ) |
| 572 |
! ------------------------------------- |
| 573 |
!del end if |
| 574 |
|
| 575 |
!--------------------------------------------------------------------- |
| 576 |
! --- Output version |
| 577 |
!--------------------------------------------------------------------- |
| 578 |
|
| 579 |
|
| 580 |
!del if ( mpp_pe() == mpp_root_pe() )write (stdlog(), nml=my25_turb_nml) |
| 581 |
!del call write_version_number(version, tag) |
| 582 |
|
| 583 |
!--------------------------------------------------------------------- |
| 584 |
! --- Initialize constants |
| 585 |
!--------------------------------------------------------------------- |
| 586 |
|
| 587 |
if( use_old_cons ) then |
| 588 |
aa1 = aa1_old |
| 589 |
aa2 = aa2_old |
| 590 |
bb1 = bb1_old |
| 591 |
bb2 = bb2_old |
| 592 |
ccc = ccc_old |
| 593 |
else |
| 594 |
aa1 = aa1_new |
| 595 |
aa2 = aa2_new |
| 596 |
bb1 = bb1_new |
| 597 |
bb2 = bb2_new |
| 598 |
ccc = ccc_new |
| 599 |
end if |
| 600 |
|
| 601 |
ckm1 = ( 1.0 - 3.0*ccc )*aa1 |
| 602 |
ckm3 = 3.0 * aa1*aa2* ( bb2 - 3.0*aa2 ) |
| 603 |
ckm4 = 9.0 * aa1*aa2*ccc*( bb2 + 4.0*aa1 ) |
| 604 |
ckm5 = 6.0 * aa1*aa1 |
| 605 |
ckm6 = 18.0 * aa1*aa1*aa2*( bb2 - 3.0*aa2 ) |
| 606 |
ckm7 = 3.0 * aa2* ( bb2 + 7.0*aa1 ) |
| 607 |
ckm8 = 27.0 * aa1*aa2*aa2*( bb2 + 4.0*aa1 ) |
| 608 |
ckm2 = ckm3 - ckm4 |
| 609 |
ckh1 = aa2 |
| 610 |
ckh2 = 6.0 * aa1*aa2 |
| 611 |
ckh3 = 3.0 * aa2*( bb2 + 4.0*aa1 ) |
| 612 |
ckh4 = 2.0e-6 * aa2 |
| 613 |
cvfq1 = 5.0 * cc1 / 3.0 |
| 614 |
cvfq2 = 1.0 / bb1 |
| 615 |
bcq = 0.5 * ( bb1**(2.0/3.0) ) |
| 616 |
|
| 617 |
!--------------------------------------------------------------------- |
| 618 |
! --- Allocate storage for TKE |
| 619 |
!--------------------------------------------------------------------- |
| 620 |
|
| 621 |
if( ALLOCATED( TKE ) ) DEALLOCATE( TKE ) |
| 622 |
ALLOCATE( TKE(ix,jx,kx+1) ) |
| 623 |
|
| 624 |
!------------------------------------------------------------------- |
| 625 |
do_init = .false. |
| 626 |
!--------------------------------------------------------------------- |
| 627 |
! --- Input TKE |
| 628 |
!--------------------------------------------------------------------- |
| 629 |
|
| 630 |
!del if( FILE_EXIST( 'INPUT/my25_turb.res' ) ) then |
| 631 |
|
| 632 |
!del unit = OPEN_FILE ( file = 'INPUT/my25_turb.res', & |
| 633 |
!del form = 'native', action = 'read' ) |
| 634 |
!del call read_data ( unit, TKE ) |
| 635 |
!del CALL CLOSE_FILE( unit ) |
| 636 |
|
| 637 |
init_tke = .false. |
| 638 |
|
| 639 |
!del else |
| 640 |
|
| 641 |
TKE = TKEmin |
| 642 |
|
| 643 |
init_tke = .true. |
| 644 |
num_total_pts = ix*jx |
| 645 |
pts_done = 0 |
| 646 |
|
| 647 |
!del endif |
| 648 |
|
| 649 |
|
| 650 |
!===================================================================== |
| 651 |
end SUBROUTINE MY25_TURB_INIT |
| 652 |
|
| 653 |
!####################################################################### |
| 654 |
|
| 655 |
SUBROUTINE MY25_TURB_END |
| 656 |
!======================================================================= |
| 657 |
integer :: unit |
| 658 |
!======================================================================= |
| 659 |
|
| 660 |
!del unit = OPEN_FILE ( file = 'RESTART/my25_turb.res', & |
| 661 |
!del form = 'native', action = 'write' ) |
| 662 |
!del call write_data ( unit, TKE ) |
| 663 |
!del CALL CLOSE_FILE ( unit ) |
| 664 |
|
| 665 |
!===================================================================== |
| 666 |
|
| 667 |
end SUBROUTINE MY25_TURB_END |
| 668 |
|
| 669 |
!####################################################################### |
| 670 |
|
| 671 |
SUBROUTINE K_PBL_DEPTH(ustar,bstar,akm,akh,zsfc,zfull,zhalf,h,kbot) |
| 672 |
!======================================================================= |
| 673 |
|
| 674 |
real, intent(in), dimension(:,:) :: ustar, bstar, zsfc |
| 675 |
real, intent(in), dimension(:,:,:) :: zhalf, zfull |
| 676 |
real, intent(in), dimension(:,:,:) :: akm, akh |
| 677 |
real, intent(out),dimension(:,:) :: h |
| 678 |
integer, intent(in), optional, dimension(:,:) :: kbot |
| 679 |
|
| 680 |
!======================================================================= |
| 681 |
real, dimension(size(zfull,1),size(zfull,2)) :: km_surf, kh_surf |
| 682 |
real, dimension(size(zfull,1),size(zfull,2)) :: zhalfhalf |
| 683 |
real, dimension(size(zfull,1),size(zfull,2),size(zfull,3)) :: zfull_ag |
| 684 |
real, dimension(size(zfull,1),size(zfull,2),size(zfull,3)+1):: zhalf_ag |
| 685 |
real, dimension(size(zfull,1),size(zfull,2),size(zfull,3)+1):: diff_tm |
| 686 |
integer, dimension(size(zfull,1),size(zfull,2)) :: ibot |
| 687 |
integer :: i,j,k,nlev,nlat,nlon |
| 688 |
|
| 689 |
|
| 690 |
nlev = size(zfull,3) |
| 691 |
nlat = size(zfull,2) |
| 692 |
nlon = size(zfull,1) |
| 693 |
|
| 694 |
!compute height of surface |
| 695 |
if (present(kbot)) then |
| 696 |
ibot=kbot |
| 697 |
else |
| 698 |
ibot(:,:) = nlev |
| 699 |
end if |
| 700 |
|
| 701 |
!compute density profile, and heights relative to surface |
| 702 |
do k = 1, nlev |
| 703 |
zfull_ag(:,:,k) = zfull(:,:,k) - zsfc(:,:) |
| 704 |
zhalf_ag(:,:,k) = zhalf(:,:,k) - zsfc(:,:) |
| 705 |
end do |
| 706 |
zhalf_ag(:,:,nlev+1) = zhalf(:,:,nlev+1) - zsfc(:,:) |
| 707 |
|
| 708 |
|
| 709 |
!compute height half way between surface and lowest model level |
| 710 |
zhalfhalf=0.5*MINVAL(MAX(zfull_ag,0.0)) |
| 711 |
|
| 712 |
!compute k's there by a call to mo_diff |
| 713 |
call mo_diff(zhalfhalf,ustar,bstar,km_surf,kh_surf,1) |
| 714 |
|
| 715 |
!create combined surface k's and diffusivity matrix |
| 716 |
diff_tm(:,:,nlev+1) = 0. |
| 717 |
diff_tm(:,:,1:nlev) = 0.5*(akm+akh) |
| 718 |
if (present(kbot)) then |
| 719 |
do j=1,nlat |
| 720 |
do i=1,nlon |
| 721 |
diff_tm(i,j,ibot(i,j)+1) = 0.5*(km_surf(i,j)+kh_surf(i,j)) |
| 722 |
zhalf_ag(i,j,ibot(i,j)+1) = zhalfhalf(i,j) |
| 723 |
enddo |
| 724 |
enddo |
| 725 |
else |
| 726 |
diff_tm(:,:,nlev+1) = 0.5*(km_surf(:,:)+kh_surf(:,:)) |
| 727 |
zhalf_ag(:,:,nlev+1) = zhalfhalf(:,:) |
| 728 |
end if |
| 729 |
|
| 730 |
|
| 731 |
!determine pbl depth as the height above ground where diff_tm |
| 732 |
!first falls beneath a critical value kcrit. If the value between |
| 733 |
!ground and level 1 does not exceed kcrit set pbl depth equal to zero. |
| 734 |
!kcrit is a namelist parameter. |
| 735 |
|
| 736 |
do j = 1,nlat |
| 737 |
do i = 1,nlon |
| 738 |
if (diff_tm(i,j,ibot(i,j)+1) .gt. kcrit) then |
| 739 |
k=ibot(i,j)+1 |
| 740 |
do while (k.gt. 2 .and. & |
| 741 |
diff_tm(i,j,k-1).gt.kcrit) |
| 742 |
k=k-1 |
| 743 |
enddo |
| 744 |
h(i,j) = zhalf_ag(i,j,k) + & |
| 745 |
(zhalf_ag(i,j,k-1)-zhalf_ag(i,j,k))* & |
| 746 |
(diff_tm(i,j,k)-kcrit) / & |
| 747 |
(diff_tm(i,j,k)-diff_tm(i,j,k-1)) |
| 748 |
else |
| 749 |
h(i,j) = 0. |
| 750 |
end if |
| 751 |
enddo |
| 752 |
enddo |
| 753 |
|
| 754 |
!----------------------------------------------------------------------- |
| 755 |
|
| 756 |
|
| 757 |
!===================================================================== |
| 758 |
end SUBROUTINE K_PBL_DEPTH |
| 759 |
|
| 760 |
!####################################################################### |
| 761 |
|
| 762 |
SUBROUTINE TKE_SURF ( u_star, TKE, kbot ) |
| 763 |
|
| 764 |
!======================================================================= |
| 765 |
!--------------------------------------------------------------------- |
| 766 |
! Arguments (Intent in) |
| 767 |
! u_star - surface friction velocity (m/s) |
| 768 |
! kbot - OPTIONAL;lowest model level index (integer); |
| 769 |
! at levels > Kbot, Mask = 0. |
| 770 |
!--------------------------------------------------------------------- |
| 771 |
real, intent(in), dimension(:,:) :: u_star |
| 772 |
|
| 773 |
integer, intent(in), OPTIONAL, dimension(:,:) :: kbot |
| 774 |
|
| 775 |
!--------------------------------------------------------------------- |
| 776 |
! Arguments (Intent inout) |
| 777 |
! TKE - turbulent kinetic energy |
| 778 |
!--------------------------------------------------------------------- |
| 779 |
real, intent(inout), dimension(:,:,:) :: TKE |
| 780 |
|
| 781 |
!--------------------------------------------------------------------- |
| 782 |
! (Intent local) |
| 783 |
!--------------------------------------------------------------------- |
| 784 |
real, dimension(SIZE(u_star,1),SIZE(u_star,2)) :: x1 |
| 785 |
integer :: ix, jx, kxp, i, j, k |
| 786 |
|
| 787 |
!======================================================================= |
| 788 |
|
| 789 |
ix = SIZE( u_star, 1 ) |
| 790 |
jx = SIZE( u_star, 2 ) |
| 791 |
kxp = SIZE( TKE, 3 ) |
| 792 |
|
| 793 |
!--------------------------------------------------------------------- |
| 794 |
|
| 795 |
x1 = bcq * u_star * u_star |
| 796 |
|
| 797 |
if( PRESENT( kbot ) ) then |
| 798 |
do j = 1,jx |
| 799 |
do i = 1,ix |
| 800 |
k = kbot(i,j) + 1 |
| 801 |
TKE(i,j,k) = x1(i,j) |
| 802 |
end do |
| 803 |
end do |
| 804 |
else |
| 805 |
TKE(:,:,kxp) = x1(:,:) |
| 806 |
endif |
| 807 |
|
| 808 |
!======================================================================= |
| 809 |
end SUBROUTINE TKE_SURF |
| 810 |
|
| 811 |
!####################################################################### |
| 812 |
end MODULE MY25_TURB_MOD |
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