Changeset 7325
- Timestamp:
- 2016-11-23T15:50:17+01:00 (8 years ago)
- Location:
- branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO
- Files:
-
- 2 edited
Legend:
- Unmodified
- Added
- Removed
-
branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO/LIM_SRC_3/limmp.F90
r7293 r7325 14 14 !! lim_mp_init : some initialization and namelist read 15 15 !! lim_mp : main calling routine 16 !! compute_mp_topo : actual melt pond routine 17 !! pond_area : computes melt pond fraction per category 16 !! lim_mp_topo : main melt pond routine for the "topographic" formulation (FloccoFeltham) 17 !! lim_mp_area : ??? compute melt pond fraction per category 18 !! lim_mp_perm : computes permeability (should be a FUNCTION!) 18 19 !! calc_hpond : computes melt pond depth 19 20 !! permeability_phy : computes permeability 20 21 21 22 !!---------------------------------------------------------------------- 22 !USE phycst ! physical constants23 !USE dom_oce ! ocean space and time domain23 USE phycst ! physical constants 24 USE dom_oce ! ocean space and time domain 24 25 ! USE sbc_ice ! Surface boundary condition: ice fields 25 26 USE ice ! LIM-3 variables … … 58 59 59 60 PUBLIC lim_mp_init ! routine called by sbcice_lim.F90 60 !PUBLIC lim_mp ! routine called by sbcice_lim.F9061 PUBLIC lim_mp ! routine called by sbcice_lim.F90 61 62 62 63 !! * Substitutions … … 104 105 END SUBROUTINE lim_mp_init 105 106 106 #else 107 !!---------------------------------------------------------------------- 108 !! Default option Empty module NO LIM sea-ice model 109 !!---------------------------------------------------------------------- 110 CONTAINS 111 SUBROUTINE lim_mp_init ! Empty routine 112 END SUBROUTINE lim_mp_init 113 #endif 114 115 !!====================================================================== 116 END MODULE limmp 117 118 !====================================================================================================================================================== 119 !====================================================================================================================================================== 120 !====================================================================================================================================================== 121 ! DIRTY LEFT OVERS FROM ASSHOLES 122 ! 123 ! SUBROUTINE lim_dyn( kt ) 124 ! !!------------------------------------------------------------------- 125 ! !! *** ROUTINE lim_dyn *** 126 ! !! 127 ! !! ** Purpose : compute ice velocity 128 ! !! 129 ! !! ** Method : 130 ! !! 131 ! !! ** Action : - Initialisation 132 ! !! - Call of the dynamic routine for each hemisphere 133 ! !!------------------------------------------------------------------------------------ 134 ! INTEGER, INTENT(in) :: kt ! number of iteration 135 ! !! 136 ! INTEGER :: jl, jk ! dummy loop indices 137 ! REAL(wp) :: zvi_b, zsmv_b, zei_b, zfs_b, zfw_b, zft_b 138 ! !!--------------------------------------------------------------------- 139 140 ! IF( nn_timing == 1 ) CALL timing_start('limdyn') 141 142 ! CALL lim_var_agg(1) ! aggregate ice categories 107 SUBROUTINE lim_mp( kt ) 108 !!------------------------------------------------------------------- 109 !! *** ROUTINE lim_mp *** 110 !! 111 !! ** Purpose : change melt pond fraction 112 !! 113 !! ** Method : brutal force 114 !! 115 !! ** Action : - 116 !! - 117 !!------------------------------------------------------------------------------------ 118 119 INTEGER, INTENT(in) :: kt ! number of iteration 120 INTEGER :: ji, jj, jl ! dummy loop indices 121 122 ! REAL(wp), POINTER, DIMENSION(:,:) :: zfsurf ! surface heat flux(obsolete, should be droped) 143 123 ! 144 ! ! conservation test 145 ! IF( ln_limdiachk ) CALL lim_cons_hsm(0, 'limdyn', zvi_b, zsmv_b, zei_b, zfw_b, zfs_b, zft_b) 146 ! END SUBROUTINE lim_dyn 124 !!------------------------------------------------------------------- 125 126 IF( nn_timing == 1 ) CALL timing_start('limthd') 127 128 IF( nn_timing == 1 ) CALL timing_start('lim_mp') 129 130 CALL lim_mp_topo (at_i, a_i, & 131 & vt_i, v_i, v_s, t_i, s_i, a_ip_frac, & 132 & h_ip, t_su) 133 134 ! we should probably not aggregate here since we do it in lim_var_agg 135 ! before output, unless we need the total volume and faction else where 136 137 ! we should also make sure a_ip and v_ip are properly updated at the end 138 ! of the routine 139 140 END SUBROUTINE lim_mp 141 142 SUBROUTINE lim_mp_topo (aice, aicen, & 143 vice, vicen, & 144 vsnon, & 145 ticen, salin, & 146 a_ip_frac, h_ip, & 147 Tsfc ) 148 !!------------------------------------------------------------------- 149 !! *** ROUTINE lim_mp_topo *** 150 !! 151 !! ** Purpose : Compute melt pond evolution based on the ice 152 !! topography as inferred from the ice thickness 153 !! distribution. 154 !! 155 !! ** Method : This code is initially based on Flocco and Feltham 156 !! (2007) and Flocco et al. (2010). More to come... 157 !! 158 !! ** Tunable parameters : 159 !! 160 !! ** Note : 161 !! 162 !! ** References 163 !! Flocco, D. and D. L. Feltham, 2007. A continuum model of melt pond 164 !! evolution on Arctic sea ice. J. Geophys. Res. 112, C08016, doi: 165 !! 10.1029/2006JC003836. 166 !! Flocco, D., D. L. Feltham and A. K. Turner, 2010. Incorporation of 167 !! a physically based melt pond scheme into the sea ice component of a 168 !! climate model. J. Geophys. Res. 115, C08012, 169 !! doi: 10.1029/2009JC005568. 170 !! 171 !!------------------------------------------------------------------- 172 173 REAL (wp), DIMENSION (jpi,jpj), & 174 INTENT(IN) :: & 175 aice, & ! total ice area fraction 176 vice ! total ice volume (m) 177 178 REAL (wp), DIMENSION (jpi,jpj,jpl), & 179 INTENT(IN) :: & 180 aicen, & ! ice area fraction, per category 181 vsnon, & ! snow volume, per category (m) 182 vicen ! ice volume, per category (m) 183 184 REAL (wp), DIMENSION (jpi,jpj,nlay_i,jpl), & 185 INTENT(IN) :: & 186 ticen, & ! ice enthalpy, per category 187 salin 188 189 REAL (wp), DIMENSION (jpi,jpj,jpl), & 190 INTENT(INOUT) :: & 191 a_ip_frac , & ! pond area fraction of ice, per ice category 192 h_ip ! pond depth, per ice category (m) 193 194 REAL (wp), DIMENSION (jpi,jpj,jpl), & 195 INTENT(IN) :: & 196 Tsfc ! snow/sea ice surface temperature 197 198 ! local variables 199 REAL (wp), DIMENSION (jpi,jpj,jpl) :: & 200 zTsfcn, & ! ice/snow surface temperature (C) 201 zvolpn, & ! pond volume per unit area, per category (m) 202 zvuin ! water-equivalent volume of ice lid on melt pond ('upper ice', m) 203 204 REAL (wp), DIMENSION (jpi,jpj,jpl) :: & 205 zapondn,& ! pond area fraction, per category 206 zhpondn ! pond depth, per category (m) 207 208 REAL (wp), DIMENSION (jpi,jpj) :: & 209 zvolp ! total volume of pond, per unit area of pond (m) 210 211 REAL (wp) :: & 212 zhi, & ! ice thickness (m) 213 zdHui, & ! change in thickness of ice lid (m) 214 zomega, & ! conduction 215 zdTice, & ! temperature difference across ice lid (C) 216 zdvice, & ! change in ice volume (m) 217 zTavg, & ! mean surface temperature across categories (C) 218 zTp, & ! pond freezing temperature (C) 219 zdvn ! change in melt pond volume for fresh water budget 220 INTEGER, DIMENSION (jpi*jpj) :: & 221 indxi, indxj ! compressed indices for cells with ice melting 222 223 INTEGER :: n,k,i,j,ij,icells,indxij ! loop indices 224 225 INTEGER, DIMENSION (jpl) :: & 226 kcells ! cells where ice lid combines with vice 227 228 INTEGER, DIMENSION (jpi*jpj,jpl) :: & 229 indxii, indxjj ! i,j indices for kcells loop 230 231 REAL (wp), parameter :: & 232 zhicemin = 0.1_wp , & ! minimum ice thickness with ponds (m) 233 zTd = 0.15_wp, & ! temperature difference for freeze-up (C) 234 zr1_rlfus = 1._wp / 0.334e+6 / 917._wp , & ! (J/m^3) 235 zmin_volp = 1.e-4_wp, & ! minimum pond volume (m) 236 z0 = 0._wp, & 237 zTimelt = 0._wp, & 238 z01 = 0.01_wp, & 239 z25 = 0.25_wp, & 240 z5 = 0.5_wp 241 242 !--------------------------------------------------------------- 243 ! Initialization 244 !--------------------------------------------------------------- 245 246 zhpondn(:,:,:) = 0._wp 247 zapondn(:,:,:) = 0._wp 248 indxii(:,:) = 0 249 indxjj(:,:) = 0 250 kcells(:) = 0 251 252 zvolp(:,:) = wfx_sum(:,:) + wfx_snw(:,:) + vt_ip(:,:) ! Total available melt water, to be distributed as melt ponds 253 zTsfcn(:,:,:) = zTsfcn(:,:,:) - rt0 ! Convert in Celsius 254 255 ! The freezing temperature for meltponds is assumed slightly below 0C, 256 ! as if meltponds had a little salt in them. The salt budget is not 257 ! altered for meltponds, but if it were then an actual pond freezing 258 ! temperature could be computed. 259 260 ! zTp = zTimelt - zTd ---> for lids 261 262 !----------------------------------------------------------------- 263 ! Identify grid cells with ponds 264 !----------------------------------------------------------------- 265 266 icells = 0 267 DO j = 1, jpj 268 DO i = 1, jpi 269 zhi = z0 270 IF (aice(i,j) > epsi10 ) zhi = vice(i,j)/aice(i,j) 271 IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. & 272 zvolp(i,j) > zmin_volp*aice(i,j)) THEN 273 icells = icells + 1 274 indxi(icells) = i 275 indxj(icells) = j 276 ELSE ! remove ponds on thin ice 277 !fpond(i,j) = fpond(i,j) - zvolp(i,j) 278 zvolpn(i,j,:) = z0 279 zvuin (i,j,:) = z0 280 zvolp (i,j) = z0 281 END IF 282 END DO ! i 283 END DO ! j 284 285 DO ij = 1, icells 286 i = indxi(ij) 287 j = indxj(ij) 288 289 !-------------------------------------------------------------- 290 ! calculate pond area and depth 291 !-------------------------------------------------------------- 292 CALL lim_mp_area(aice(i,j),vice(i,j), & 293 aicen(i,j,:), vicen(i,j,:), vsnon(i,j,:), & 294 ticen(i,j,:,:), salin(i,j,:,:), & 295 zvolpn(i,j,:), zvolp(i,j), & 296 zapondn(i,j,:),zhpondn(i,j,:), zdvn) 297 ! outputs are 298 ! - zdvn 299 ! - zvolpn 300 ! - zvolp 301 ! - zapondn 302 ! - zhpondn 303 304 wfx_pnd(i,j) = wfx_pnd(i,j) + zdvn ! update flux from ponds to ocean 305 306 ! mean surface temperature 307 zTavg = z0 308 DO n = 1, jpl 309 zTavg = zTavg + zTsfcn(i,j,n)*aicen(i,j,n) 310 END DO 311 zTavg = zTavg / aice(i,j) 312 313 END DO ! ij 314 315 !--------------------------------------------------------------- 316 ! Update pond volume and fraction 317 !--------------------------------------------------------------- 318 319 a_ip(:,:,:) = zapondn(:,:,:) 320 v_ip(:,:,:) = zapondn(:,:,:) * zhpondn(:,:,:) 321 a_ip_frac(:,:,:) = 0._wp 322 h_ip (:,:,:) = 0._wp 323 324 END SUBROUTINE lim_mp_topo 325 326 SUBROUTINE lim_mp_area(aice,vice, & 327 aicen, vicen, vsnon, ticen, & 328 salin, zvolpn, zvolp, & 329 zapondn,zhpondn,dvolp) 330 331 !!------------------------------------------------------------------- 332 !! *** ROUTINE lim_mp_area *** 333 !! 334 !! ** Purpose : Given the total volume of meltwater, update 335 !! pond fraction (a_ip) and depth (should be volume) 336 !! 337 !! ** 338 !! 339 !!------------------------------------------------------------------ 340 341 REAL (wp), INTENT(IN) :: & 342 aice,vice 343 344 REAL (wp), DIMENSION(jpl), INTENT(IN) :: & 345 aicen, vicen, vsnon 346 347 REAL (wp), DIMENSION(nlay_i,jpl), INTENT(IN) :: & 348 ticen, salin 349 350 REAL (wp), DIMENSION(jpl), INTENT(INOUT) :: & 351 zvolpn 352 353 REAL (wp), INTENT(INOUT) :: & 354 zvolp, dvolp 355 356 REAL (wp), DIMENSION(jpl), INTENT(OUT) :: & 357 zapondn, zhpondn 358 359 INTEGER :: & 360 n, ns, & 361 m_index, & 362 permflag 363 364 REAL (wp), DIMENSION(jpl) :: & 365 hicen, & 366 hsnon, & 367 asnon, & 368 alfan, & 369 betan, & 370 cum_max_vol, & 371 reduced_aicen 372 373 REAL (wp), DIMENSION(0:jpl) :: & 374 cum_max_vol_tmp 375 376 REAL (wp) :: & 377 hpond, & 378 drain, & 379 floe_weight, & 380 pressure_head, & 381 hsl_rel, & 382 deltah, & 383 perm, & 384 msno 385 386 REAL (wp), parameter :: & 387 viscosity = 1.79e-3_wp, & ! kinematic water viscosity in kg/m/s 388 z0 = 0.0_wp , & 389 c1 = 1.0_wp , & 390 p4 = 0.4_wp , & 391 p6 = 0.6_wp , & 392 epsi10 = 1.0e-11_wp 393 394 !-----------| 395 ! | 396 ! |-----------| 397 !___________|___________|______________________________________sea-level 398 ! | | 399 ! | |---^--------| 400 ! | | | | 401 ! | | | |-----------| |------- 402 ! | | |alfan(n)| | | 403 ! | | | | |--------------| 404 ! | | | | | | 405 !---------------------------v------------------------------------------- 406 ! | | ^ | | | 407 ! | | | | |--------------| 408 ! | | |betan(n)| | | 409 ! | | | |-----------| |------- 410 ! | | | | 411 ! | |---v------- | 412 ! | | 413 ! |-----------| 414 ! | 415 !-----------| 416 417 !------------------------------------------------------------------- 418 ! initialize 419 !------------------------------------------------------------------- 420 421 DO n = 1, jpl 422 423 zapondn(n) = z0 424 zhpondn(n) = z0 425 426 !---------------------------------------- 427 ! X) compute the effective snow fraction 428 !---------------------------------------- 429 IF (aicen(n) < epsi10) THEN 430 hicen(n) = z0 431 hsnon(n) = z0 432 reduced_aicen(n) = z0 433 ELSE 434 hicen(n) = vicen(n) / aicen(n) 435 hsnon(n) = vsnon(n) / aicen(n) 436 reduced_aicen(n) = c1 ! n=jpl 437 IF (n < jpl) reduced_aicen(n) = aicen(n) & 438 * (-0.024_wp*hicen(n) + 0.832_wp) 439 asnon(n) = reduced_aicen(n) ! effective snow fraction (empirical) 440 END IF 441 442 ! This choice for alfa and beta ignores hydrostatic equilibium of categories. 443 ! Hydrostatic equilibium of the entire ITD is accounted for below, assuming 444 ! a surface topography implied by alfa=0.6 and beta=0.4, and rigidity across all 445 ! categories. alfa and beta partition the ITD - they are areas not thicknesses! 446 ! Multiplying by hicen, alfan and betan (below) are thus volumes per unit area. 447 ! Here, alfa = 60% of the ice area (and since hice is constant in a category, 448 ! alfan = 60% of the ice volume) in each category lies above the reference line, 449 ! and 40% below. Note: p6 is an arbitrary choice, but alfa+beta=1 is required. 450 451 alfan(n) = p6 * hicen(n) 452 betan(n) = p4 * hicen(n) 453 454 cum_max_vol(n) = z0 455 cum_max_vol_tmp(n) = z0 456 457 END DO ! jpl 458 459 cum_max_vol_tmp(0) = z0 460 drain = z0 461 dvolp = z0 462 463 !---------------------------------------------------------- 464 ! x) Drain overflow water, update pond fraction and volume 465 !---------------------------------------------------------- 466 467 !-------------------------------------------------------------------------- 468 ! the maximum amount of water that can be contained up to each ice category 469 !-------------------------------------------------------------------------- 470 471 ! MV 472 ! If melt ponds are too deep to be sustainable given the ITD (OVERFLOW) 473 ! Then the excess volume cum_max_vol(jl) drains out of the system 474 ! It should be added to wfx_pnd 475 ! END MV 476 477 DO n = 1, jpl-1 ! last category can not hold any volume 478 479 IF (alfan(n+1) >= alfan(n) .and. alfan(n+1) > z0) THEN 480 481 ! total volume in level including snow 482 cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) + & 483 (alfan(n+1) - alfan(n)) * sum(reduced_aicen(1:n)) 484 485 ! subtract snow solid volumes from lower categories in current level 486 DO ns = 1, n 487 cum_max_vol_tmp(n) = cum_max_vol_tmp(n) & 488 - rhosn/rhofw * & ! free air fraction that can be filled by water 489 asnon(ns) * & ! effective areal fraction of snow in that category 490 max(min(hsnon(ns)+alfan(ns)-alfan(n), alfan(n+1)- & 491 alfan(n)), z0) 492 END DO 493 494 ELSE ! assume higher categories unoccupied 495 cum_max_vol_tmp(n) = cum_max_vol_tmp(n-1) 496 END IF 497 !IF (cum_max_vol_tmp(n) < z0) THEN 498 ! call abort_ice('negative melt pond volume') 499 !END IF 500 END DO 501 cum_max_vol_tmp(jpl) = cum_max_vol_tmp(jpl-1) ! last category holds no volume 502 cum_max_vol (1:jpl) = cum_max_vol_tmp(1:jpl) 503 504 !---------------------------------------------------------------- 505 ! is there more meltwater than can be held in the floe? 506 !---------------------------------------------------------------- 507 IF (zvolp >= cum_max_vol(jpl)) THEN 508 drain = zvolp - cum_max_vol(jpl) + epsi10 509 zvolp = zvolp - drain ! update meltwater volume available 510 dvolp = drain ! this is the drained water 511 IF (zvolp < epsi10) THEN 512 dvolp = dvolp + zvolp 513 zvolp = z0 514 END IF 515 END IF 516 517 ! height and area corresponding to the remaining volume 518 519 ! call calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & 520 ! zvolp, cum_max_vol, hpond, m_index) 521 522 DO n=1, m_index 523 zhpondn(n) = hpond - alfan(n) + alfan(1) ! here oui choulde update 524 ! volume instead, no ? 525 zapondn(n) = reduced_aicen(n) 526 ! in practise, pond fraction depends on the empirical snow fraction 527 ! so in turn on ice thickness 528 END DO 529 530 !------------------------------------------------------------------------ 531 ! Drainage through brine network (permeability) 532 !------------------------------------------------------------------------ 533 !!! drainage due to ice permeability - Darcy's law 534 535 ! sea water level 536 msno = z0 537 DO n=1,jpl 538 msno = msno + vsnon(n) * rhosn 539 END DO 540 floe_weight = (msno + rhoic*vice + rau0*zvolp) / aice 541 hsl_rel = floe_weight / rau0 & 542 - ((sum(betan(:)*aicen(:))/aice) + alfan(1)) 543 544 deltah = hpond - hsl_rel 545 pressure_head = grav * rau0 * max(deltah, z0) 546 547 ! drain IF ice is permeable 548 permflag = 0 549 IF (pressure_head > z0) THEN 550 DO n = 1, jpl-1 551 IF (hicen(n) /= z0) THEN 552 perm = 0. ! MV ugly dummy patch 553 CALL lim_mp_perm(ticen(:,n), salin(:,n), vicen(n), perm) 554 IF (perm > z0) permflag = 1 555 556 drain = perm*zapondn(n)*pressure_head*rdt_ice / & 557 (viscosity*hicen(n)) 558 dvolp = dvolp + min(drain, zvolp) 559 zvolp = max(zvolp - drain, z0) 560 IF (zvolp < epsi10) THEN 561 dvolp = dvolp + zvolp 562 zvolp = z0 563 END IF 564 END IF 565 END DO 566 567 ! adjust melt pond DIMENSIONs 568 IF (permflag > 0) THEN 569 ! recompute pond depth 570 ! CALL calc_hpond(reduced_aicen, asnon, hsnon, rhos, alfan, & 571 ! zvolp, cum_max_vol, hpond, m_index) 572 DO n=1, m_index 573 zhpondn(n) = hpond - alfan(n) + alfan(1) 574 zapondn(n) = reduced_aicen(n) 575 END DO 576 END IF 577 END IF ! pressure_head 578 579 !------------------------------- 580 ! X) remove water from the snow 581 !------------------------------- 582 !------------------------------------------------------------------------ 583 ! total melt pond volume in category DOes not include snow volume 584 ! snow in melt ponds is not melted 585 !------------------------------------------------------------------------ 586 587 ! Calculate pond volume for lower categories 588 DO n=1,m_index-1 589 zvolpn(n) = zapondn(n) * zhpondn(n) & ! what is not in the snow 590 - (rhosn/rhofw) * asnon(n) * min(hsnon(n), zhpondn(n)) 591 END DO 592 593 ! Calculate pond volume for highest category = remaining pond volume 594 595 ! The following is completely unclear to Martin at least 596 ! Could we redefine properly and recode in a more readable way ? 597 598 ! m_index = last category with melt pond 599 600 IF (m_index == 1) zvolpn(m_index) = zvolp ! volume of mw in 1st category is the total volume of melt water 601 602 IF (m_index > 1) THEN 603 IF (zvolp > sum(zvolpn(1:m_index-1))) THEN 604 zvolpn(m_index) = zvolp - sum(zvolpn(1:m_index-1)) ! 605 ELSE 606 zvolpn(m_index) = z0 607 zhpondn(m_index) = z0 608 zapondn(m_index) = z0 609 ! If remaining pond volume is negative reduce pond volume of 610 ! lower category 611 IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) & 612 zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))& 613 + zvolp 614 END IF 615 END IF 616 617 DO n=1,m_index 618 IF (zapondn(n) > epsi10) THEN 619 zhpondn(n) = zvolpn(n) / zapondn(n) 620 ELSE 621 dvolp = dvolp + zvolpn(n) 622 zhpondn(n) = z0 623 zvolpn(n) = z0 624 zapondn(n) = z0 625 end IF 626 END DO 627 DO n = m_index+1, jpl 628 zhpondn(n) = z0 629 zapondn(n) = z0 630 zvolpn (n) = z0 631 END DO 632 633 END SUBROUTINE lim_mp_area 634 635 !OLI_CODE 636 !OLI_CODE 637 !OLI_CODE SUBROUTINE calc_hpond(aicen, asnon, hsnon, rhos, alfan, & 638 !OLI_CODE zvolp, cum_max_vol, & 639 !OLI_CODE hpond, m_index) 640 !OLI_CODE !!------------------------------------------------------------------- 641 !OLI_CODE !! *** ROUTINE calc_hpond *** 642 !OLI_CODE !! 643 !OLI_CODE !! ** Purpose : Compute melt pond depth 644 !OLI_CODE !!------------------------------------------------------------------- 645 !OLI_CODE 646 !OLI_CODE REAL (wp), DIMENSION(jpl), INTENT(IN) :: & 647 !OLI_CODE aicen, & 648 !OLI_CODE asnon, & 649 !OLI_CODE hsnon, & 650 !OLI_CODE rhos, & 651 !OLI_CODE alfan, & 652 !OLI_CODE cum_max_vol 653 !OLI_CODE 654 !OLI_CODE REAL (wp), INTENT(IN) :: & 655 !OLI_CODE zvolp 656 !OLI_CODE 657 !OLI_CODE REAL (wp), INTENT(OUT) :: & 658 !OLI_CODE hpond 659 !OLI_CODE 660 !OLI_CODE INTEGER, INTENT(OUT) :: & 661 !OLI_CODE m_index 662 !OLI_CODE 663 !OLI_CODE INTEGER :: n, ns 664 !OLI_CODE 665 !OLI_CODE REAL (wp), DIMENSION(0:jpl+1) :: & 666 !OLI_CODE hitl, & 667 !OLI_CODE aicetl 668 !OLI_CODE 669 !OLI_CODE REAL (wp) :: & 670 !OLI_CODE rem_vol, & 671 !OLI_CODE area, & 672 !OLI_CODE vol, & 673 !OLI_CODE tmp, & 674 !OLI_CODE z0 = 0.0_wp, & 675 !OLI_CODE epsi10 = 1.0e-11_wp 676 !OLI_CODE 677 !OLI_CODE !---------------------------------------------------------------- 678 !OLI_CODE ! hpond is zero if zvolp is zero - have we fully drained? 679 !OLI_CODE !---------------------------------------------------------------- 680 !OLI_CODE 681 !OLI_CODE IF (zvolp < epsi10) THEN 682 !OLI_CODE hpond = z0 683 !OLI_CODE m_index = 0 684 !OLI_CODE ELSE 685 !OLI_CODE 686 !OLI_CODE !---------------------------------------------------------------- 687 !OLI_CODE ! Calculate the category where water fills up to 688 !OLI_CODE !---------------------------------------------------------------- 689 !OLI_CODE 690 !OLI_CODE !----------| 691 !OLI_CODE ! | 692 !OLI_CODE ! | 693 !OLI_CODE ! |----------| -- -- 694 !OLI_CODE !__________|__________|_________________________________________ ^ 695 !OLI_CODE ! | | rem_vol ^ | Semi-filled 696 !OLI_CODE ! | |----------|-- -- -- - ---|-- ---- -- -- --v layer 697 !OLI_CODE ! | | | | 698 !OLI_CODE ! | | | |hpond 699 !OLI_CODE ! | | |----------| | |------- 700 !OLI_CODE ! | | | | | | 701 !OLI_CODE ! | | | |---v-----| 702 !OLI_CODE ! | | m_index | | | 703 !OLI_CODE !------------------------------------------------------------- 704 !OLI_CODE 705 !OLI_CODE m_index = 0 ! 1:m_index categories have water in them 706 !OLI_CODE DO n = 1, jpl 707 !OLI_CODE IF (zvolp <= cum_max_vol(n)) THEN 708 !OLI_CODE m_index = n 709 !OLI_CODE IF (n == 1) THEN 710 !OLI_CODE rem_vol = zvolp 711 !OLI_CODE ELSE 712 !OLI_CODE rem_vol = zvolp - cum_max_vol(n-1) 713 !OLI_CODE END IF 714 !OLI_CODE exit ! to break out of the loop 715 !OLI_CODE END IF 716 !OLI_CODE END DO 717 !OLI_CODE m_index = min(jpl-1, m_index) 718 !OLI_CODE 719 !OLI_CODE !---------------------------------------------------------------- 720 !OLI_CODE ! semi-filled layer may have m_index different snow in it 721 !OLI_CODE !---------------------------------------------------------------- 722 !OLI_CODE 723 !OLI_CODE !----------------------------------------------------------- ^ 724 !OLI_CODE ! | alfan(m_index+1) 725 !OLI_CODE ! | 726 !OLI_CODE !hitl(3)--> |----------| | 727 !OLI_CODE !hitl(2)--> |------------| * * * * *| | 728 !OLI_CODE !hitl(1)--> |----------|* * * * * * |* * * * * | | 729 !OLI_CODE !hitl(0)-->------------------------------------------------- | ^ 730 !OLI_CODE ! various snow from lower categories | |alfa(m_index) 731 !OLI_CODE 732 !OLI_CODE ! hitl - heights of the snow layers from thinner and current categories 733 !OLI_CODE ! aicetl - area of each snow depth in this layer 734 !OLI_CODE 735 !OLI_CODE hitl(:) = z0 736 !OLI_CODE aicetl(:) = z0 737 !OLI_CODE DO n = 1, m_index 738 !OLI_CODE hitl(n) = max(min(hsnon(n) + alfan(n) - alfan(m_index), & 739 !OLI_CODE alfan(m_index+1) - alfan(m_index)), z0) 740 !OLI_CODE aicetl(n) = asnon(n) 741 !OLI_CODE 742 !OLI_CODE aicetl(0) = aicetl(0) + (aicen(n) - asnon(n)) 743 !OLI_CODE END DO 744 !OLI_CODE hitl(m_index+1) = alfan(m_index+1) - alfan(m_index) 745 !OLI_CODE aicetl(m_index+1) = z0 746 !OLI_CODE 747 !OLI_CODE !---------------------------------------------------------------- 748 !OLI_CODE ! reorder array according to hitl 749 !OLI_CODE ! snow heights not necessarily in height order 750 !OLI_CODE !---------------------------------------------------------------- 751 !OLI_CODE 752 !OLI_CODE DO ns = 1, m_index+1 753 !OLI_CODE DO n = 0, m_index - ns + 1 754 !OLI_CODE IF (hitl(n) > hitl(n+1)) THEN ! swap order 755 !OLI_CODE tmp = hitl(n) 756 !OLI_CODE hitl(n) = hitl(n+1) 757 !OLI_CODE hitl(n+1) = tmp 758 !OLI_CODE tmp = aicetl(n) 759 !OLI_CODE aicetl(n) = aicetl(n+1) 760 !OLI_CODE aicetl(n+1) = tmp 761 !OLI_CODE END IF 762 !OLI_CODE END DO 763 !OLI_CODE END DO 764 !OLI_CODE 765 !OLI_CODE !---------------------------------------------------------------- 766 !OLI_CODE ! divide semi-filled layer into set of sublayers each vertically homogenous 767 !OLI_CODE !---------------------------------------------------------------- 768 !OLI_CODE 769 !OLI_CODE !hitl(3)---------------------------------------------------------------- 770 !OLI_CODE ! | * * * * * * * * 771 !OLI_CODE ! |* * * * * * * * * 772 !OLI_CODE !hitl(2)---------------------------------------------------------------- 773 !OLI_CODE ! | * * * * * * * * | * * * * * * * * 774 !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * 775 !OLI_CODE !hitl(1)---------------------------------------------------------------- 776 !OLI_CODE ! | * * * * * * * * | * * * * * * * * | * * * * * * * * 777 !OLI_CODE ! |* * * * * * * * * |* * * * * * * * * |* * * * * * * * * 778 !OLI_CODE !hitl(0)---------------------------------------------------------------- 779 !OLI_CODE ! aicetl(0) aicetl(1) aicetl(2) aicetl(3) 780 !OLI_CODE 781 !OLI_CODE ! move up over layers incrementing volume 782 !OLI_CODE DO n = 1, m_index+1 783 !OLI_CODE 784 !OLI_CODE area = sum(aicetl(:)) - & ! total area of sub-layer 785 !OLI_CODE (rhos(n)/rau0) * sum(aicetl(n:jpl+1)) ! area of sub-layer occupied by snow 786 !OLI_CODE 787 !OLI_CODE vol = (hitl(n) - hitl(n-1)) * area ! thickness of sub-layer times area 788 !OLI_CODE 789 !OLI_CODE IF (vol >= rem_vol) THEN ! have reached the sub-layer with the depth within 790 !OLI_CODE hpond = rem_vol / area + hitl(n-1) + alfan(m_index) - & 791 !OLI_CODE alfan(1) 792 !OLI_CODE exit 793 !OLI_CODE ELSE ! still in sub-layer below the sub-layer with the depth 794 !OLI_CODE rem_vol = rem_vol - vol 795 !OLI_CODE END IF 796 !OLI_CODE 797 !OLI_CODE END DO 798 !OLI_CODE 799 !OLI_CODE END IF 800 !OLI_CODE 801 !OLI_CODE END SUBROUTINE calc_hpond 802 !OLI_CODE 803 !OLI_CODE 804 SUBROUTINE lim_mp_perm(ticen, salin, vicen, perm) 805 !!------------------------------------------------------------------- 806 !! *** ROUTINE lim_mp_perm *** 807 !! 808 !! ** Purpose : Determine the liquid fraction of brine in the ice 809 !! and its permeability 810 !!------------------------------------------------------------------- 811 REAL (wp), DIMENSION(nlay_i), INTENT(IN) :: & 812 ticen, & ! energy of melting for each ice layer (J/m2) 813 salin 814 815 REAL (wp), INTENT(IN) :: & 816 vicen ! ice volume 817 818 REAL (wp), INTENT(OUT) :: & 819 perm ! permeability 820 821 REAL (wp) :: & 822 Sbr ! brine salinity 823 824 REAL (wp), DIMENSION(nlay_i) :: & 825 Tin, & ! ice temperature 826 phi ! liquid fraction 827 828 INTEGER :: k 829 830 REAL (wp) :: & 831 c2 = 2.0_wp 832 833 !----------------------------------------------------------------- 834 ! Compute ice temperatures from enthalpies using quadratic formula 835 !----------------------------------------------------------------- 836 837 DO k = 1,nlay_i 838 Tin(k) = ticen(k) 839 END DO 840 841 !----------------------------------------------------------------- 842 ! brine salinity and liquid fraction 843 !----------------------------------------------------------------- 844 845 IF (maxval(Tin-rtt) <= -c2) THEN 846 847 DO k = 1,nlay_i 848 Sbr = - 1.2_wp & 849 -21.8_wp * (Tin(k)-rtt) & 850 - 0.919_wp * (Tin(k)-rtt)**2 & 851 - 0.01878_wp * (Tin(k)-rtt)**3 852 phi(k) = salin(k)/Sbr ! liquid fraction 853 END DO ! k 854 855 ELSE 856 857 DO k = 1,nlay_i 858 Sbr = -17.6_wp * (Tin(k)-rtt) & 859 - 0.389_wp * (Tin(k)-rtt)**2 & 860 - 0.00362_wp* (Tin(k)-rtt)**3 861 phi(k) = salin(k)/Sbr ! liquid fraction 862 END DO 863 864 END IF 865 866 !----------------------------------------------------------------- 867 ! permeability 868 !----------------------------------------------------------------- 869 870 perm = 3.0e-08_wp * (minval(phi))**3 ! REFERENCE PLEASE (this fucking 871 ! bastard of Golden) 872 873 END SUBROUTINE lim_mp_perm 874 !OLI_CODE 875 !OLI_CODE #else 876 !OLI_CODE !!---------------------------------------------------------------------- 877 !OLI_CODE !! Default option Dummy Module No LIM-3 sea-ice model 878 !OLI_CODE !!---------------------------------------------------------------------- 879 !OLI_CODE CONTAINS 880 !OLI_CODE SUBROUTINE lim_mp_init ! Empty routine 881 !OLI_CODE END SUBROUTINE lim_mp_init 882 !OLI_CODE SUBROUTINE lim_mp ! Empty routine 883 !OLI_CODE END SUBROUTINE lim_mp 884 !OLI_CODE SUBROUTINE compute_mp_topo ! Empty routine 885 !OLI_CODE END SUBROUTINE compute_mp_topo 886 !OLI_CODE SUBROUTINE pond_area ! Empty routine 887 !OLI_CODE END SUBROUTINE pond_area 888 !OLI_CODE SUBROUTINE calc_hpond ! Empty routine 889 !OLI_CODE END SUBROUTINE calc_hpond 890 !OLI_CODE SUBROUTINE permeability_phy ! Empty routine 891 !OLI_CODE END SUBROUTINE permeability_phy 892 !OLI_CODE #endif 893 !OLI_CODE !!====================================================================== 894 !OLI_CODE END MODULE limmp_topo 895 147 896 148 897 !OLI_CODE MODULE limmp_topo … … 365 1114 !OLI_CODE z25 = 0.25_wp, & 366 1115 !OLI_CODE z5 = 0.5_wp, & 367 !OLI_CODE zuny= 1.0e-11_wp1116 !OLI_CODE epsi10 = 1.0e-11_wp 368 1117 !OLI_CODE !--------------------------------------------------------------- 369 1118 !OLI_CODE ! initialize … … 409 1158 !OLI_CODE DO i = 1, jpi 410 1159 !OLI_CODE zhi = z0 411 !OLI_CODE IF (aice(i,j) > zuny) zhi = vice(i,j)/aice(i,j)1160 !OLI_CODE IF (aice(i,j) > epsi10) zhi = vice(i,j)/aice(i,j) 412 1161 !OLI_CODE IF ( aice(i,j) > z01 .and. zhi > zhicemin .and. & 413 1162 !OLI_CODE zvolp(i,j) > zmin_volp*aice(i,j)) THEN … … 448 1197 !OLI_CODE DO n = 1, jpl-1 449 1198 !OLI_CODE 450 !OLI_CODE IF (zvuin(i,j,n) > zuny) THEN1199 !OLI_CODE IF (zvuin(i,j,n) > epsi10) THEN 451 1200 !OLI_CODE 452 1201 !OLI_CODE !---------------------------------------------------------------- … … 457 1206 !OLI_CODE 458 1207 !OLI_CODE zdvice = min(meltt(i,j)*zapondn(i,j,n), zvuin(i,j,n)) 459 !OLI_CODE IF (zdvice > zuny) THEN1208 !OLI_CODE IF (zdvice > epsi10) THEN 460 1209 !OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) - zdvice 461 1210 !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zdvice … … 463 1212 !OLI_CODE !fwoc(i,j) = fwoc(i,j) + zdvice 464 1213 !OLI_CODE 465 !OLI_CODE IF (zvuin(i,j,n) < zuny.and. zvolpn(i,j,n) > puny) THEN1214 !OLI_CODE IF (zvuin(i,j,n) < epsi10 .and. zvolpn(i,j,n) > puny) THEN 466 1215 !OLI_CODE ! ice lid melted and category is pond covered 467 1216 !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) + zvuin(i,j,n) … … 475 1224 !OLI_CODE ! freezing: existing upper ice layer grows 476 1225 !OLI_CODE !---------------------------------------------------------------- 477 !OLI_CODE ELSE IF (zvolpn(i,j,n) > zuny) THEN ! zTavg <= zTp1226 !OLI_CODE ELSE IF (zvolpn(i,j,n) > epsi10) THEN ! zTavg <= zTp 478 1227 !OLI_CODE 479 1228 !OLI_CODE ! dIFferential growth of base of surface floating ice layer … … 484 1233 !OLI_CODE 485 1234 !OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n)) 486 !OLI_CODE IF (zdvice > zuny) THEN1235 !OLI_CODE IF (zdvice > epsi10) THEN 487 1236 !OLI_CODE zvuin (i,j,n) = zvuin (i,j,n) + zdvice 488 1237 !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice … … 498 1247 !OLI_CODE ! note: albedo does not change 499 1248 !OLI_CODE !---------------------------------------------------------------- 500 !OLI_CODE ELSE ! zvuin < zuny1249 !OLI_CODE ELSE ! zvuin < epsi10 501 1250 !OLI_CODE 502 1251 !OLI_CODE ! thickness of newly formed ice … … 506 1255 !OLI_CODE zdHui = max(-fsurf(i,j)*rdt_ice*zr1_rlfus, z0) 507 1256 !OLI_CODE zdvice = min(zdHui*zapondn(i,j,n), zvolpn(i,j,n)) 508 !OLI_CODE IF (zdvice > zuny) THEN1257 !OLI_CODE IF (zdvice > epsi10) THEN 509 1258 !OLI_CODE zvuin (i,j,n) = zdvice 510 1259 !OLI_CODE zvolpn(i,j,n) = zvolpn(i,j,n) - zdvice … … 528 1277 !OLI_CODE DO i = 1, jpi 529 1278 !OLI_CODE DO n = 1, jpl 530 !OLI_CODE IF (aicen(i,j,n) > zuny.and. zvolpn(i,j,n) < puny &531 !OLI_CODE .and. zvuin (i,j,n) > zuny) THEN1279 !OLI_CODE IF (aicen(i,j,n) > epsi10 .and. zvolpn(i,j,n) < puny & 1280 !OLI_CODE .and. zvuin (i,j,n) > epsi10) THEN 532 1281 !OLI_CODE kcells(n) = kcells(n) + 1 533 1282 !OLI_CODE indxij = kcells(n) … … 553 1302 !OLI_CODE DO j = 1, jpj 554 1303 !OLI_CODE DO i = 1, jpi 555 !OLI_CODE IF (zapondn(i,j,n) > zuny) THEN1304 !OLI_CODE IF (zapondn(i,j,n) > epsi10) THEN 556 1305 !OLI_CODE h_il(i,j,n) = zvuin(i,j,n) / zapondn(i,j,n) 557 1306 !OLI_CODE ELSE … … 559 1308 !OLI_CODE h_il(i,j,n) = z0 560 1309 !OLI_CODE END IF 561 !OLI_CODE IF (aicen(i,j,n) > zuny) THEN1310 !OLI_CODE IF (aicen(i,j,n) > epsi10) THEN 562 1311 !OLI_CODE a_ip_frac(i,j,n) = zapondn(i,j,n) / aicen(i,j,n) * & 563 1312 !OLI_CODE (1.0_wp - MAX(z0, SIGN(1.0_wp, -zvolpn(i,j,n)))) … … 637 1386 !OLI_CODE p4 = 0.4_wp , & 638 1387 !OLI_CODE p6 = 0.6_wp , & 639 !OLI_CODE zuny= 1.0e-11_wp1388 !OLI_CODE epsi10 = 1.0e-11_wp 640 1389 !OLI_CODE 641 1390 !OLI_CODE !-----------| … … 671 1420 !OLI_CODE zhpondn(n) = z0 672 1421 !OLI_CODE 673 !OLI_CODE IF (aicen(n) < zuny) THEN1422 !OLI_CODE IF (aicen(n) < epsi10) THEN 674 1423 !OLI_CODE hicen(n) = z0 675 1424 !OLI_CODE hsnon(n) = z0 … … 742 1491 !OLI_CODE !---------------------------------------------------------------- 743 1492 !OLI_CODE IF (zvolp >= cum_max_vol(jpl)) THEN 744 !OLI_CODE drain = zvolp - cum_max_vol(jpl) + zuny1493 !OLI_CODE drain = zvolp - cum_max_vol(jpl) + epsi10 745 1494 !OLI_CODE zvolp = zvolp - drain 746 1495 !OLI_CODE dvolp = drain 747 !OLI_CODE IF (zvolp < zuny) THEN1496 !OLI_CODE IF (zvolp < epsi10) THEN 748 1497 !OLI_CODE dvolp = dvolp + zvolp 749 1498 !OLI_CODE zvolp = z0 … … 789 1538 !OLI_CODE dvolp = dvolp + min(drain, zvolp) 790 1539 !OLI_CODE zvolp = max(zvolp - drain, z0) 791 !OLI_CODE IF (zvolp < zuny) THEN1540 !OLI_CODE IF (zvolp < epsi10) THEN 792 1541 !OLI_CODE dvolp = dvolp + zvolp 793 1542 !OLI_CODE zvolp = z0 … … 831 1580 !OLI_CODE ! If remaining pond volume is negative reduce pond volume of 832 1581 !OLI_CODE ! lower category 833 !OLI_CODE IF (zvolp+ zuny< sum(zvolpn(1:m_index-1))) &1582 !OLI_CODE IF (zvolp+epsi10 < sum(zvolpn(1:m_index-1))) & 834 1583 !OLI_CODE zvolpn(m_index-1) = zvolpn(m_index-1)-sum(zvolpn(1:m_index-1))& 835 1584 !OLI_CODE + zvolp … … 838 1587 !OLI_CODE 839 1588 !OLI_CODE DO n=1,m_index 840 !OLI_CODE IF (zapondn(n) > zuny) THEN1589 !OLI_CODE IF (zapondn(n) > epsi10) THEN 841 1590 !OLI_CODE zhpondn(n) = zvolpn(n) / zapondn(n) 842 1591 !OLI_CODE ELSE … … 894 1643 !OLI_CODE tmp, & 895 1644 !OLI_CODE z0 = 0.0_wp, & 896 !OLI_CODE zuny= 1.0e-11_wp1645 !OLI_CODE epsi10 = 1.0e-11_wp 897 1646 !OLI_CODE 898 1647 !OLI_CODE !---------------------------------------------------------------- … … 900 1649 !OLI_CODE !---------------------------------------------------------------- 901 1650 !OLI_CODE 902 !OLI_CODE IF (zvolp < zuny) THEN1651 !OLI_CODE IF (zvolp < epsi10) THEN 903 1652 !OLI_CODE hpond = z0 904 1653 !OLI_CODE m_index = 0 … … 1114 1863 !OLI_CODE END MODULE limmp_topo 1115 1864 !OLI_CODE 1865 #else 1866 !!---------------------------------------------------------------------- 1867 !! Default option Empty module NO LIM sea-ice model 1868 !!---------------------------------------------------------------------- 1869 CONTAINS 1870 SUBROUTINE lim_mp_init ! Empty routine 1871 END SUBROUTINE lim_mp_init 1872 SUBROUTINE lim_mp ! Empty routine 1873 END SUBROUTINE lim_mp 1874 SUBROUTINE lim_mp_topo ! Empty routine 1875 END SUBROUTINE lim_mp_topo 1876 SUBROUTINE lim_mp_area ! Empty routine 1877 END SUBROUTINE lim_mp_area 1878 SUBROUTINE lim_mp_perm ! Empty routine 1879 END SUBROUTINE lim_mp_perm 1880 #endif 1881 1882 !!====================================================================== 1883 END MODULE limmp -
branches/2016/dev_r6859_LIM3_meltponds/NEMOGCM/NEMO/OPA_SRC/SBC/sbcice_lim.F90
r7319 r7325 261 261 ! --- zap this if no ice thermo --- ! 262 262 IF( ln_limthd ) CALL lim_thd( kt ) ! -- Ice thermodynamics 263 264 ! MV MP 2016 265 IF ( ln_limMP) CALL lim_mp( kt ) ! -- Melt ponds 266 ! END MV MP 2016 267 263 268 IF( ln_limthd ) CALL lim_update2( kt ) ! -- Corrections 264 269 ! ---
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