Changeset 14779
- Timestamp:
- 2021-05-04T12:21:30+02:00 (3 years ago)
- File:
-
- 1 edited
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NEMO/branches/2021/dev_r14122_HPC-08_Mueller_OSMOSIS_streamlining/src/OCE/ZDF/zdfosm.F90
r14775 r14779 45 45 !! zdf_osm_velocity_rotation_3d : rotation of 3d fields 46 46 !! zdf_osm_osbl_state : determine the state of the OSBL 47 !! zdf_osm_external_gradients : calculate gradients below the OSBL 48 !! zdf_osm_calculate_dhdt : calculate rate of change of hbl 49 !! zdf_osm_timestep_hbl : hbl timestep 47 50 !! zdf_osm_diffusivity_viscosity : compute eddy diffusivity and viscosity profiles 48 51 !! zdf_osm_fgr_terms : compute flux-gradient relationship terms … … 318 321 319 322 REAL(wp), DIMENSION(jpi,jpj) :: zdh ! pycnocline depth - grid 320 REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! BL depth tendency 321 REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_bl_ext,zdsdz_bl_ext,zdbdz_bl_ext ! external temperature/salinity and buoyancy gradients 322 REAL(wp), DIMENSION(jpi,jpj) :: zdtdz_mle_ext,zdsdz_mle_ext,zdbdz_mle_ext ! external temperature/salinity and buoyancy gradients 323 REAL(wp), DIMENSION(A2D(0)) :: zdhdt ! BL depth tendency 324 REAL(wp), DIMENSION(A2D(0)) :: zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ! external temperature/salinity and buoyancy gradients 323 325 REAL(wp), DIMENSION(jpi,jpj) :: zdtdx, zdtdy, zdsdx, zdsdy ! horizontal gradients for Fox-Kemper parametrization. 324 326 … … 376 378 ! mixed layer 377 379 ! no initialization of zhbl or zhml (or zdh?) 378 zhbl(:,:) = zlarge ; zhml(:,:) = zlarge ; zdh(:,:) = zlarge ; zdhdt(:,:) = zlarge380 zhbl(:,:) = zlarge ; zhml(:,:) = zlarge ; zdh(:,:) = zlarge 379 381 zt_bl(:,:) = zlarge ; zs_bl(:,:) = zlarge ; zu_bl(:,:) = zlarge 380 382 zv_bl(:,:) = zlarge ; zb_bl(:,:) = zlarge … … 390 392 zdbdz_pyc(A2D(0),:) = 0.0_wp 391 393 ! 392 zdtdz_bl_ext(:,:) = zlarge ; zdsdz_bl_ext(:,:) = zlarge ; zdbdz_bl_ext(:,:) = zlarge393 394 394 395 IF ( ln_osm_mle ) THEN ! only initialise arrays if needed … … 398 399 zhmle(:,:) = zlarge ; zmld(:,:) = zlarge 399 400 ENDIF 400 zwb_fk_b(:,:) = zlarge ! must be initialised even with ln_osm_mle=F as used in zdf_osm_calculate_dhdt401 402 401 zhbl_t(:,:) = zlarge 403 402 … … 746 745 !! Calculate fairly-well-mixed depth zmld & its index mld_prof + lateral zmld-averaged gradients 747 746 CALL zdf_osm_zmld_horizontal_gradients( zmld, zdtdx, zdtdy, zdsdx, zdsdy, dbdx_mle, dbdy_mle, zdbds_mle ) 748 !! Calculate vertical gradients immediately below zmld749 CALL zdf_osm_external_gradients( mld_prof, zdtdz_mle_ext, zdsdz_mle_ext, zdbdz_mle_ext )750 747 !! Calculate max vertical FK flux zwb_fk & set logical descriptors 751 748 CALL zdf_osm_osbl_state_fk( lpyc, lflux, lmle, zwb_fk ) … … 761 758 & 'dbdx_mle+=', dbdx_mle(ji,jj),' dbdx_mle-=', dbdx_mle(ji-1,jj),& 762 759 & 'dbdy_mle+=', dbdy_mle(ji,jj),' dbdy_mle-=',dbdy_mle(ji,jj-1),' zdbds_mle=',zdbds_mle(ji,jj), & 763 & 'zdtdz_mle_ext=', zdtdz_mle_ext(ji,jj), ' zdsdz_mle_ext=', zdsdz_mle_ext(ji,jj), &764 & ' zdbdz_mle_ext=', zdbdz_mle_ext(ji,jj), &765 760 & 'After updating hmle: mld_prof=', mld_prof(ji,jj),' hmle=', hmle(ji,jj), ' zhmle=', zhmle(ji,jj),& 766 761 & 'zvel_mle =', zvel_mle(ji,jj), ' zdiff_mle=', zdiff_mle(ji,jj), ' zwb_fk=', zwb_fk(ji,jj) … … 779 774 780 775 !! External gradient below BL needed both with and w/o FK 781 CALL zdf_osm_external_gradients( ibld+1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) ! ag 19/03776 CALL zdf_osm_external_gradients( Kmm, ibld+1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) ! ag 19/03 782 777 783 778 ! Test if pycnocline well resolved … … 834 829 835 830 ! Rate of change of hbl 836 CALL zdf_osm_calculate_dhdt( zdhdt ) 831 CALL zdf_osm_calculate_dhdt( lconv, lshear, j_ddh, zdhdt, zhbl, zdh, zwb_ent, zwb_min, & 832 & zdb_bl, zdbdz_bl_ext, zdb_ml, zwb_fk_b, zwb_fk, zvel_mle ) 837 833 ! Test if surface boundary layer coupled to bottom 838 834 lcoup(:,:) = .FALSE. ! ag 19/03 … … 869 865 ! Step through model levels taking account of buoyancy change to determine the effect on dhdt 870 866 ! 871 CALL zdf_osm_timestep_hbl( zdhdt)867 CALL zdf_osm_timestep_hbl( Kmm, ibld, imld, lconv, lpyc, zdhdt, zhbl, zhbl_t, zt_bl, zs_bl, zwb_ent, zwb_fk_b ) 872 868 ! is external level in bounds? 873 869 … … 914 910 & jp_ext, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml ) 915 911 916 CALL zdf_osm_external_gradients( ibld+1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext )912 CALL zdf_osm_external_gradients( Kmm, ibld+1, zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_bl_ext ) 917 913 #ifdef key_osm_debug 918 914 IF(narea==nn_narea_db) THEN … … 989 985 CALL zdf_osm_fgr_terms( Kmm, ibld, imld, jp_ext, lconv, lpyc, j_ddh, zhbl, zhml, zdh, zdhdt, zshear, & 990 986 & zdt_bl, zds_bl, zdb_bl, zdu_bl, zdv_bl, zdt_ml, zds_ml, zdb_ml, zdu_ml, zdv_ml, & 991 & zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_ bl_ext, zdbdz_pyc, zalpha_pyc, zdiffut, zviscos )987 & zdtdz_bl_ext, zdsdz_bl_ext, zdbdz_pyc, zalpha_pyc, zdiffut, zviscos ) 992 988 993 989 !>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> … … 1340 1336 END SUBROUTINE zdf_osm_osbl_state_fk 1341 1337 1342 SUBROUTINE zdf_osm_external_gradients(jbase, zdtdz, zdsdz, zdbdz )1343 !!---------------------------------------------------------------------1344 !! *** ROUTINE zdf_osm_external_gradients ***1345 !!1346 !! ** Purpose : Calculates the gradients below the OSBL1347 !!1348 !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient.1349 !!1350 !!----------------------------------------------------------------------1351 1352 INTEGER, DIMENSION(jpi,jpj) :: jbase1353 REAL(wp), DIMENSION(jpi,jpj) :: zdtdz, zdsdz, zdbdz ! External gradients of temperature, salinity and buoyancy.1354 1355 INTEGER :: jj, ji, jkb, jkb11356 REAL(wp) :: zthermal, zbeta1357 1358 1359 IF( ln_timing ) CALL timing_start('zdf_osm_eg')1360 DO_2D( 0, 0, 0, 0 )1361 IF ( jbase(ji,jj)+1 < mbkt(ji,jj) ) THEN1362 zthermal = rab_n(ji,jj,1,jp_tem) !ideally use ibld not 1??1363 zbeta = rab_n(ji,jj,1,jp_sal)1364 jkb = jbase(ji,jj)1365 jkb1 = MIN(jkb + 1, mbkt(ji,jj))1366 zdtdz(ji,jj) = - ( ts(ji,jj,jkb1,jp_tem,Kmm) - ts(ji,jj,jkb,jp_tem,Kmm ) ) &1367 & / e3w(ji,jj,jkb1,Kmm)1368 zdsdz(ji,jj) = - ( ts(ji,jj,jkb1,jp_sal,Kmm) - ts(ji,jj,jkb,jp_sal,Kmm ) ) &1369 & / e3w(ji,jj,jkb1,Kmm)1370 zdbdz(ji,jj) = grav * zthermal * zdtdz(ji,jj) - grav * zbeta * zdsdz(ji,jj)1371 ELSE1372 zdtdz(ji,jj) = 0._wp1373 zdsdz(ji,jj) = 0._wp1374 zdbdz(ji,jj) = 0._wp1375 END IF1376 END_2D1377 IF( ln_timing ) CALL timing_stop('zdf_osm_eg')1378 END SUBROUTINE zdf_osm_external_gradients1379 1380 1338 SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles( pdbdz, palpha ) 1381 1339 REAL(wp), DIMENSION(:,:,:), INTENT( inout ) :: pdbdz ! Gradients in the pycnocline … … 1471 1429 ! 1472 1430 END SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles 1473 1474 SUBROUTINE zdf_osm_calculate_dhdt( zdhdt )1475 !!---------------------------------------------------------------------1476 !! *** ROUTINE zdf_osm_calculate_dhdt ***1477 !!1478 !! ** Purpose : Calculates the rate at which hbl changes.1479 !!1480 !! ** Method :1481 !!1482 !!----------------------------------------------------------------------1483 1484 REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! Rate of change of hbl1485 1486 INTEGER :: jj, ji1487 REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi1488 REAL(wp) :: zvel_max, zddhdt1489 REAL(wp), PARAMETER :: zzeta_m = 0.3_wp1490 REAL(wp), PARAMETER :: zgamma_c = 2.0_wp1491 REAL(wp), PARAMETER :: zdhoh = 0.1_wp1492 REAL(wp), PARAMETER :: zalpha_b = 0.3_wp1493 REAL(wp), PARAMETER :: a_ddh = 2.5_wp, a_ddh_2 = 3.5 ! also in pycnocline_depth1494 1495 IF( ln_timing ) CALL timing_start('zdf_osm_cd')1496 DO_2D( 0, 0, 0, 0 )1497 1498 IF ( lshear(ji,jj) ) THEN1499 IF ( lconv(ji,jj) ) THEN ! Convective1500 1501 IF ( ln_osm_mle ) THEN1502 1503 IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN1504 ! Fox-Kemper buoyancy flux average over OSBL1505 zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * &1506 (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) )1507 ELSE1508 zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj)1509 ENDIF1510 zvel_max = ( svstr(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)1511 IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN1512 ! OSBL is deepening, entrainment > restratification1513 IF ( zdb_bl(ji,jj) > 1e-15 ) THEN1514 zgamma_b_nd = MAX( zdbdz_bl_ext(ji,jj), 0.0_wp ) * zdh(ji,jj) / ( zvel_max + MAX( zdb_bl(ji,jj), 1e-15 ) )1515 zpsi = ( 1.0_wp - 0.5_wp * zdh(ji,jj) / zhbl(ji,jj) ) * &1516 & ( swb0(ji,jj) - MIN( ( zwb_min(ji,jj) + 2.0_wp * zwb_fk_b(ji,jj) ), 0.0_wp ) ) * zdh(ji,jj) / zhbl(ji,jj)1517 zpsi = zpsi + 1.75_wp * ( 1.0_wp - 0.5_wp * zdh(ji,jj) / zhbl(ji,jj) ) * &1518 & ( zdh(ji,jj) / zhbl(ji,jj) + zgamma_b_nd ) * MIN( ( zwb_min(ji,jj) + 2.0_wp * zwb_fk_b(ji,jj) ), 0.0_wp )1519 zpsi = zalpha_b * MAX( zpsi, 0.0_wp )1520 zdhdt(ji,jj) = -1.0_wp * ( zwb_ent(ji,jj) + 2.0_wp * zwb_fk_b(ji,jj) ) / &1521 & ( zvel_max + MAX( zdb_bl(ji,jj), 1e-15_wp ) ) + &1522 & zpsi / ( zvel_max + MAX( zdb_bl(ji,jj), 1e-15 ) )1523 #ifdef key_osm_debug1524 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1525 WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt, OSBL is deepening, entrainment > restratification: zdhdt=',zdhdt(ji,jj)1526 WRITE(narea+100,'(3(a,g11.3))') ' zpsi=',zpsi, ' zgamma_b_nd=', zgamma_b_nd, ' zdh=', zdh(ji,jj)1527 FLUSH(narea+100)1528 END IF1529 #endif1530 IF ( j_ddh(ji,jj) == 1 ) THEN1531 IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5 ) THEN1532 zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * svstr(ji,jj)**2 , 1.e-12 )) ), 0.2d0 )1533 ELSE1534 zari = MIN( 1.5 * zdb_bl(ji,jj) / ( zhbl(ji,jj) * ( MAX(zdbdz_bl_ext(ji,jj),0._wp) + zdb_bl(ji,jj)**2 / MAX(4.5 * swstrc(ji,jj)**2 , 1.e-12 )) ), 0.2d0 )1535 ENDIF1536 ! Relaxation to dh_ref = zari * hbl1537 zddhdt = -1.0_wp * a_ddh_2 * ( 1.0 - zdh(ji,jj) / ( zari * zhbl(ji,jj) ) ) * zwb_ent(ji,jj) / &1538 & ( zvel_max + MAX( zdb_bl(ji,jj), 1e-15 ) )1539 #ifdef key_osm_debug1540 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1541 WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt,j_ddh(ji,jj) == 1: zari=',zari1542 FLUSH(narea+100)1543 END IF1544 #endif1545 1546 ELSE IF ( j_ddh(ji,jj) == 0 ) THEN1547 ! Growing shear layer1548 zddhdt = -1.0_wp * a_ddh * ( 1.0 - 1.6_wp * zdh(ji,jj) / zhbl(ji,jj) ) * zwb_ent(ji,jj) / &1549 & ( zvel_max + MAX( zdb_bl(ji,jj), 1e-15 ) )1550 zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * zhbl(ji,jj) / MAX(sustar(ji,jj), 1e-8_wp ) ) * zddhdt1551 ELSE1552 zddhdt = 0.0_wp1553 ENDIF ! j_ddh1554 zdhdt(ji,jj) = zdhdt(ji,jj) + zalpha_b * ( 1.0_wp - 0.5_wp * zdh(ji,jj) / zhbl(ji,jj) ) * &1555 & zdb_ml(ji,jj) * MAX( zddhdt, 0.0_wp ) / ( zvel_max + MAX( zdb_bl(ji,jj), 1e-15 ) )1556 ELSE ! zdb_bl >01557 zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15)1558 ENDIF1559 ELSE ! zwb_min + 2*zwb_fk_b < 01560 ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008)1561 zdhdt(ji,jj) = -1.0_wp * MIN( zvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp )1562 1563 1564 ENDIF1565 1566 ELSE1567 ! Fox-Kemper not used.1568 1569 zvel_max = - ( 1.0 + 1.0 * ( svstr(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**pthird * rn_Dt / hbl(ji,jj) ) * zwb_ent(ji,jj) / &1570 & MAX((svstr(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**pthird, epsln)1571 zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) )1572 ! added ajgn 23 July as temporay fix1573 1574 ENDIF ! ln_osm_mle1575 1576 ELSE ! lconv - Stable1577 zdhdt(ji,jj) = ( 0.06 + 0.52 * shol(ji,jj) / 2.0 ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj)1578 IF ( zdhdt(ji,jj) < 0._wp ) THEN1579 ! For long timsteps factor in brackets slows the rapid collapse of the OSBL1580 zpert = 2.0 * ( 1.0 + 0.0 * 2.0 * svstr(ji,jj) * rn_Dt / hbl(ji,jj) ) * svstr(ji,jj)**2 / hbl(ji,jj)1581 ELSE1582 zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) )1583 ENDIF1584 zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln)1585 zdhdt(ji,jj) = MAX( zdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp )1586 ENDIF ! lconv1587 ELSE ! lshear1588 IF ( lconv(ji,jj) ) THEN ! Convective1589 1590 IF ( ln_osm_mle ) THEN1591 1592 IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN1593 ! Fox-Kemper buoyancy flux average over OSBL1594 zwb_fk_b(ji,jj) = zwb_fk(ji,jj) * &1595 (1.0 + hmle(ji,jj) / ( 6.0 * hbl(ji,jj) ) * (-1.0 + ( 1.0 - 2.0 * hbl(ji,jj) / hmle(ji,jj))**3) )1596 ELSE1597 zwb_fk_b(ji,jj) = 0.5 * zwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj)1598 ENDIF1599 zvel_max = ( swstrl(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)1600 IF ( ( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) < 0.0 ) THEN1601 ! OSBL is deepening, entrainment > restratification1602 IF ( zdb_bl(ji,jj) > 0.0 .and. zdbdz_bl_ext(ji,jj) > 0.0 ) THEN1603 zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) )1604 ELSE1605 zdhdt(ji,jj) = -( zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj) ) / MAX( zvel_max, 1.0e-15)1606 ENDIF1607 ELSE1608 ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008)1609 zdhdt(ji,jj) = -1.0_wp * MIN( zvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp )1610 1611 1612 ENDIF1613 1614 ELSE1615 ! Fox-Kemper not used.1616 1617 zvel_max = -zwb_ent(ji,jj) / &1618 & MAX((svstr(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**pthird, epsln)1619 zdhdt(ji,jj) = -zwb_ent(ji,jj) / ( zvel_max + MAX(zdb_bl(ji,jj), 1.0e-15) )1620 ! added ajgn 23 July as temporay fix1621 1622 ENDIF ! ln_osm_mle1623 1624 ELSE ! Stable1625 zdhdt(ji,jj) = ( 0.06 + 0.52 * shol(ji,jj) / 2.0 ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj)1626 IF ( zdhdt(ji,jj) < 0._wp ) THEN1627 ! For long timsteps factor in brackets slows the rapid collapse of the OSBL1628 zpert = 2.0 * svstr(ji,jj)**2 / hbl(ji,jj)1629 ELSE1630 zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), zdb_bl(ji,jj) )1631 ENDIF1632 zdhdt(ji,jj) = 2.0 * zdhdt(ji,jj) / MAX(zpert, epsln)1633 zdhdt(ji,jj) = MAX( zdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp )1634 ENDIF ! lconv1635 ENDIF ! lshear1636 #ifdef key_osm_debug1637 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1638 WRITE(narea+100,'(4(a,g11.3))')'end of 1st major loop of zdf_osm_calculate_dhdt: zdhdt=',zdhdt(ji,jj), &1639 & ' zpert=', zpert, ' zddhdt=', zddhdt, ' zvel_max=', zvel_max1640 1641 IF ( ln_osm_mle ) THEN1642 WRITE(narea+100,'(3(a,g11.3),/)') 'zvel_mle=',zvel_mle(ji,jj), ' zwb_fk_b=', zwb_fk_b(ji,jj), &1643 & ' zwb_ent + 2*zwb_fk_b =', zwb_ent(ji,jj) + 2.0 * zwb_fk_b(ji,jj)1644 FLUSH(narea+100)1645 END IF1646 END IF1647 #endif1648 END_2D1649 IF( ln_timing ) CALL timing_stop('zdf_osm_cd')1650 END SUBROUTINE zdf_osm_calculate_dhdt1651 1652 SUBROUTINE zdf_osm_timestep_hbl( zdhdt )1653 !!---------------------------------------------------------------------1654 !! *** ROUTINE zdf_osm_timestep_hbl ***1655 !!1656 !! ** Purpose : Increments hbl.1657 !!1658 !! ** Method : If thechange in hbl exceeds one model level the change is1659 !! is calculated by moving down the grid, changing the buoyancy1660 !! jump. This is to ensure that the change in hbl does not1661 !! overshoot a stable layer.1662 !!1663 !!----------------------------------------------------------------------1664 1665 1666 REAL(wp), DIMENSION(jpi,jpj) :: zdhdt ! rates of change of hbl.1667 1668 INTEGER :: jk, jj, ji, jm1669 REAL(wp) :: zhbl_s, zvel_max, zdb1670 REAL(wp) :: zthermal, zbeta1671 1672 IF( ln_timing ) CALL timing_start('zdf_osm_th')1673 DO_2D( 0, 0, 0, 0 )1674 #ifdef key_osm_debug1675 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1676 WRITE(narea+100,'(2(a,i7))')'start of zdf_osm_timestep_hbl: old ibld=',imld(ji,jj),' trial ibld=', ibld(ji,jj)1677 FLUSH(narea+100)1678 END IF1679 #endif1680 IF ( ibld(ji,jj) - imld(ji,jj) > 1 ) THEN1681 !1682 ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths.1683 !1684 zhbl_s = hbl(ji,jj)1685 jm = imld(ji,jj)1686 zthermal = rab_n(ji,jj,1,jp_tem)1687 zbeta = rab_n(ji,jj,1,jp_sal)1688 1689 1690 IF ( lconv(ji,jj) ) THEN1691 !unstable1692 1693 IF( ln_osm_mle ) THEN1694 zvel_max = ( swstrl(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)1695 ELSE1696 1697 zvel_max = -( 1.0 + 1.0 * ( svstr(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**pthird * rn_Dt / hbl(ji,jj) ) * zwb_ent(ji,jj) / &1698 & ( svstr(ji,jj)**3 + 0.5 * swstrc(ji,jj)**3 )**pthird1699 1700 ENDIF1701 #ifdef key_osm_debug1702 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1703 WRITE(narea+100,'(a,g11.3)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=T: zvel_max=',zvel_max1704 FLUSH(narea+100)1705 END IF1706 #endif1707 1708 DO jk = imld(ji,jj), ibld(ji,jj)1709 zdb = MAX( grav * ( zthermal * ( zt_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) &1710 & - zbeta * ( zs_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), &1711 & 0.0 ) + zvel_max1712 1713 1714 IF ( ln_osm_mle ) THEN1715 zhbl_s = zhbl_s + MIN( &1716 & rn_Dt * ( ( -zwb_ent(ji,jj) - 2.0 * zwb_fk_b(ji,jj) )/ zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), &1717 & e3w(ji,jj,jm,Kmm) )1718 ELSE1719 zhbl_s = zhbl_s + MIN( &1720 & rn_Dt * ( -zwb_ent(ji,jj) / zdb ) / FLOAT(ibld(ji,jj) - imld(ji,jj) ), &1721 & e3w(ji,jj,jm,Kmm) )1722 ENDIF1723 1724 ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol)1725 IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN1726 zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol)1727 lpyc(ji,jj) = .FALSE.1728 ENDIF1729 IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 11730 #ifdef key_osm_debug1731 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1732 WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm1733 WRITE(narea+100,'(2(a,g11.3),a,l7)')'zdb=',zdb,' zhbl_s=', zhbl_s,' lpyc=',lpyc(ji,jj)1734 FLUSH(narea+100)1735 END IF1736 #endif1737 END DO1738 hbl(ji,jj) = zhbl_s1739 ibld(ji,jj) = jm1740 ELSE1741 ! stable1742 #ifdef key_osm_debug1743 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1744 WRITE(narea+100,'(a)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=F'1745 FLUSH(narea+100)1746 END IF1747 #endif1748 DO jk = imld(ji,jj), ibld(ji,jj)1749 zdb = MAX( &1750 & grav * ( zthermal * ( zt_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) )&1751 & - zbeta * ( zs_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ),&1752 & 0.0 ) + &1753 & 2.0 * svstr(ji,jj)**2 / zhbl_s1754 1755 ! Alan is thuis right? I have simply changed hbli to hbl1756 shol(ji,jj) = -zhbl_s / ( ( svstr(ji,jj)**3 + epsln )/ swbav(ji,jj) )1757 zdhdt(ji,jj) = -( swbav(ji,jj) - 0.04 / 2.0 * swstrl(ji,jj)**3 / zhbl_s - 0.15 / 2.0 * ( 1.0 - EXP( -1.5 * sla(ji,jj) ) ) * &1758 & sustar(ji,jj)**3 / zhbl_s ) * ( 0.725 + 0.225 * EXP( -7.5 * shol(ji,jj) ) )1759 zdhdt(ji,jj) = zdhdt(ji,jj) + swbav(ji,jj)1760 zhbl_s = zhbl_s + MIN( zdhdt(ji,jj) / zdb * rn_Dt / FLOAT( ibld(ji,jj) - imld(ji,jj) ), e3w(ji,jj,jm,Kmm) )1761 1762 ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol)1763 IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN1764 zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol)1765 lpyc(ji,jj) = .FALSE.1766 ENDIF1767 IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 11768 #ifdef key_osm_debug1769 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1770 WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm1771 WRITE(narea+100,'(4(a,g11.3),a,l7)')'zdb=',zdb,' shol',shol(ji,jj),' zdhdt',zdhdt(ji,jj),' zhbl_s=', zhbl_s,' lpyc=',lpyc(ji,jj)1772 FLUSH(narea+100)1773 END IF1774 #endif1775 END DO1776 ENDIF ! IF ( lconv )1777 hbl(ji,jj) = MAX(zhbl_s, gdepw(ji,jj,4,Kmm) )1778 ibld(ji,jj) = MAX(jm, 4 )1779 ELSE1780 ! change zero or one model level.1781 hbl(ji,jj) = MAX(zhbl_t(ji,jj), gdepw(ji,jj,4,Kmm) )1782 ENDIF1783 zhbl(ji,jj) = gdepw(ji,jj,ibld(ji,jj),Kmm)1784 #ifdef key_osm_debug1785 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN1786 WRITE(narea+100,'(2(a,g11.3),a,i7,/)')'end of zdf_osm_timestep_hbl: hbl=', hbl(ji,jj),' zhbl=', zhbl(ji,jj),' ibld=', ibld(ji,jj)1787 FLUSH(narea+100)1788 END IF1789 #endif1790 END_2D1791 IF( ln_timing ) CALL timing_stop('zdf_osm_th')1792 1793 END SUBROUTINE zdf_osm_timestep_hbl1794 1431 1795 1432 SUBROUTINE zdf_osm_pycnocline_thickness( dh, zdh ) … … 2522 2159 END SUBROUTINE zdf_osm_osbl_state 2523 2160 2161 SUBROUTINE zdf_osm_external_gradients( Kmm, kbase, pdtdz, pdsdz, pdbdz ) 2162 !!--------------------------------------------------------------------- 2163 !! *** ROUTINE zdf_osm_external_gradients *** 2164 !! 2165 !! ** Purpose : Calculates the gradients below the OSBL 2166 !! 2167 !! ** Method : Uses ibld and ibld_ext to determine levels to calculate the gradient. 2168 !! 2169 !!---------------------------------------------------------------------- 2170 INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index 2171 INTEGER, DIMENSION(jpi,jpj), INTENT(in ) :: kbase ! OSBL base layer index 2172 REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pdtdz, pdsdz, pdbdz ! External gradients of temperature, salinity and buoyancy 2173 ! 2174 ! Local variables 2175 INTEGER :: ji, jj, jkb, jkb1 2176 REAL(wp) :: zthermal, zbeta 2177 ! 2178 REAL(wp), PARAMETER :: zlarge = -1e10_wp 2179 ! 2180 IF( ln_timing ) CALL timing_start('zdf_osm_eg') 2181 ! 2182 pdtdz(:,:) = zlarge 2183 pdsdz(:,:) = zlarge 2184 pdbdz(:,:) = zlarge 2185 ! 2186 DO_2D( 0, 0, 0, 0 ) 2187 IF ( kbase(ji,jj)+1 < mbkt(ji,jj) ) THEN 2188 zthermal = rab_n(ji,jj,1,jp_tem) ! Ideally use ibld not 1?? 2189 zbeta = rab_n(ji,jj,1,jp_sal) 2190 jkb = kbase(ji,jj) 2191 jkb1 = MIN( jkb + 1, mbkt(ji,jj) ) 2192 pdtdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_tem,Kmm) - ts(ji,jj,jkb,jp_tem,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) 2193 pdsdz(ji,jj) = -1.0_wp * ( ts(ji,jj,jkb1,jp_sal,Kmm) - ts(ji,jj,jkb,jp_sal,Kmm ) ) / e3w(ji,jj,jkb1,Kmm) 2194 pdbdz(ji,jj) = grav * zthermal * pdtdz(ji,jj) - grav * zbeta * pdsdz(ji,jj) 2195 ELSE 2196 pdtdz(ji,jj) = 0.0_wp 2197 pdsdz(ji,jj) = 0.0_wp 2198 pdbdz(ji,jj) = 0.0_wp 2199 END IF 2200 END_2D 2201 ! 2202 IF( ln_timing ) CALL timing_stop('zdf_osm_eg') 2203 ! 2204 END SUBROUTINE zdf_osm_external_gradients 2205 2206 SUBROUTINE zdf_osm_calculate_dhdt( ldconv, ldshear, k_ddh, pdhdt, phbl, pdh, pwb_ent, pwb_min, & 2207 & pdb_bl, pdbdz_bl_ext, pdb_ml, pwb_fk_b, pwb_fk, pvel_mle ) 2208 !!--------------------------------------------------------------------- 2209 !! *** ROUTINE zdf_osm_calculate_dhdt *** 2210 !! 2211 !! ** Purpose : Calculates the rate at which hbl changes. 2212 !! 2213 !! ** Method : 2214 !! 2215 !!---------------------------------------------------------------------- 2216 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldconv ! BL stability flags 2217 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldshear ! Shear layers 2218 INTEGER, DIMENSION(:,:), INTENT(in ) :: k_ddh ! k_ddh=0: active shear layer 2219 ! ! k_ddh=1: shear layer not active 2220 ! ! k_ddh=2: shear production low 2221 REAL(wp), DIMENSION(A2D(0)), INTENT( out) :: pdhdt ! Rate of change of hbl 2222 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth 2223 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth 2224 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux 2225 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_min 2226 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value 2227 REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdbdz_bl_ext ! external buoyancy gradients 2228 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value 2229 REAL(wp), DIMENSION(:,:), INTENT( out) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL 2230 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_fk ! Max MLE buoyancy flux 2231 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pvel_mle ! Vvelocity scale for dhdt with stable ML and FK 2232 ! 2233 ! Local variables 2234 INTEGER :: jj, ji 2235 REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi, zari 2236 REAL(wp) :: zvel_max, zddhdt 2237 ! 2238 REAL(wp), PARAMETER :: zzeta_m = 0.3_wp 2239 REAL(wp), PARAMETER :: zgamma_c = 2.0_wp 2240 REAL(wp), PARAMETER :: zdhoh = 0.1_wp 2241 REAL(wp), PARAMETER :: zalpha_b = 0.3_wp 2242 REAL(wp), PARAMETER :: a_ddh = 2.5_wp, a_ddh_2 = 3.5 ! Also in pycnocline_depth 2243 REAL(wp), PARAMETER :: zlarge = -1e10_wp 2244 ! 2245 IF( ln_timing ) CALL timing_start('zdf_osm_cd') 2246 ! 2247 pdhdt(:,:) = zlarge 2248 pwb_fk_b(:,:) = zlarge 2249 ! 2250 DO_2D( 0, 0, 0, 0 ) 2251 ! 2252 IF ( ldshear(ji,jj) ) THEN 2253 ! 2254 IF ( ldconv(ji,jj) ) THEN ! Convective 2255 ! 2256 IF ( ln_osm_mle ) THEN 2257 IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL 2258 pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & 2259 & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj) )**3 ) ) 2260 ELSE 2261 pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) 2262 ENDIF 2263 zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) 2264 IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, 2265 ! ! entrainment > restratification 2266 IF ( pdb_bl(ji,jj) > 1e-15_wp ) THEN 2267 zgamma_b_nd = MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) * pdh(ji,jj) / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2268 zpsi = ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & 2269 & ( swb0(ji,jj) - MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) ) * pdh(ji,jj) / phbl(ji,jj) 2270 zpsi = zpsi + 1.75_wp * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & 2271 & ( pdh(ji,jj) / phbl(ji,jj) + zgamma_b_nd ) * MIN( ( pwb_min(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ), 0.0_wp ) 2272 zpsi = zalpha_b * MAX( zpsi, 0.0_wp ) 2273 pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & 2274 & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) + & 2275 & zpsi / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2276 #ifdef key_osm_debug 2277 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2278 WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt, OSBL is deepening, entrainment > restratification: zdhdt=',pdhdt(ji,jj) 2279 WRITE(narea+100,'(3(a,g11.3))') ' zpsi=',zpsi, ' zgamma_b_nd=', zgamma_b_nd, ' zdh=', pdh(ji,jj) 2280 FLUSH(narea+100) 2281 END IF 2282 #endif 2283 IF ( k_ddh(ji,jj) == 1 ) THEN 2284 IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN 2285 zari = MIN( 1.5_wp * pdb_bl(ji,jj) / & 2286 & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & 2287 & pdb_bl(ji,jj)**2 / MAX( 4.5_wp * svstr(ji,jj)**2, & 2288 & 1e-12_wp ) ) ), 0.2_wp ) 2289 ELSE 2290 zari = MIN( 1.5_wp * pdb_bl(ji,jj) / & 2291 & ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + & 2292 & pdb_bl(ji,jj)**2 / MAX( 4.5_wp * swstrc(ji,jj)**2, & 2293 & 1e-12_wp ) ) ), 0.2_wp ) 2294 ENDIF 2295 ! Relaxation to dh_ref = zari * hbl 2296 zddhdt = -1.0_wp * a_ddh_2 * ( 1.0_wp - pdh(ji,jj) / ( zari * phbl(ji,jj) ) ) * pwb_ent(ji,jj) / & 2297 & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2298 #ifdef key_osm_debug 2299 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2300 WRITE(narea+100,'(a,g11.3)')'Inside 1st major loop of zdf_osm_calculate_dhdt,j_ddh(ji,jj) == 1: zari=',zari 2301 FLUSH(narea+100) 2302 END IF 2303 #endif 2304 ELSE IF ( k_ddh(ji,jj) == 0 ) THEN ! Growing shear layer 2305 zddhdt = -1.0_wp * a_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / & 2306 & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2307 zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX(sustar(ji,jj), 1e-8_wp ) ) * zddhdt 2308 ELSE 2309 zddhdt = 0.0_wp 2310 ENDIF ! k_ddh 2311 pdhdt(ji,jj) = pdhdt(ji,jj) + zalpha_b * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * & 2312 & pdb_ml(ji,jj) * MAX( zddhdt, 0.0_wp ) / & 2313 & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2314 ELSE ! pdb_bl >0 2315 pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) 2316 ENDIF 2317 ELSE ! pwb_min + 2*pwb_fk_b < 0 2318 ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) 2319 pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) 2320 ENDIF 2321 ELSE ! Fox-Kemper not used. 2322 zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * & 2323 & rn_Dt / hbl(ji,jj) ) * pwb_ent(ji,jj) / & 2324 & MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) 2325 pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2326 ! added ajgn 23 July as temporay fix 2327 ENDIF ! ln_osm_mle 2328 ! 2329 ELSE ! ldconv - Stable 2330 ! 2331 pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) 2332 IF ( pdhdt(ji,jj) < 0.0_wp ) THEN ! For long timsteps factor in brackets slows the rapid collapse of the OSBL 2333 zpert = 2.0_wp * ( 1.0_wp + 0.0_wp * 2.0_wp * svstr(ji,jj) * rn_Dt / hbl(ji,jj) ) * svstr(ji,jj)**2 / hbl(ji,jj) 2334 ELSE 2335 zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), pdb_bl(ji,jj) ) 2336 ENDIF 2337 pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX( zpert, epsln ) 2338 pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) 2339 ! 2340 ENDIF ! ldconv 2341 ! 2342 ELSE ! ldshear 2343 ! 2344 IF ( ldconv(ji,jj) ) THEN ! Convective 2345 ! 2346 IF ( ln_osm_mle ) THEN 2347 IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL 2348 pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * & 2349 ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * & 2350 & ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj))**3) ) 2351 ELSE 2352 pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj) 2353 ENDIF 2354 zvel_max = ( swstrl(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) 2355 IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening, 2356 ! ! entrainment > restratification 2357 IF ( pdb_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN 2358 pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / & 2359 & ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2360 ELSE 2361 pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp ) 2362 ENDIF 2363 ELSE ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008) 2364 pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp ) 2365 ENDIF 2366 ELSE ! Fox-Kemper not used 2367 zvel_max = -1.0_wp * pwb_ent(ji,jj) / MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln ) 2368 pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( pdb_bl(ji,jj), 1e-15_wp ) ) 2369 ! added ajgn 23 July as temporay fix 2370 ENDIF ! ln_osm_mle 2371 ! 2372 ELSE ! Stable 2373 ! 2374 pdhdt(ji,jj) = ( 0.06_wp + 0.52_wp * shol(ji,jj) / 2.0_wp ) * svstr(ji,jj)**3 / hbl(ji,jj) + swbav(ji,jj) 2375 IF ( pdhdt(ji,jj) < 0.0_wp ) THEN 2376 ! For long timsteps factor in brackets slows the rapid collapse of the OSBL 2377 zpert = 2.0_wp * svstr(ji,jj)**2 / hbl(ji,jj) 2378 ELSE 2379 zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), pdb_bl(ji,jj) ) 2380 ENDIF 2381 pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX(zpert, epsln) 2382 pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp ) 2383 ! 2384 ENDIF ! ldconv 2385 ! 2386 ENDIF ! ldshear 2387 #ifdef key_osm_debug 2388 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2389 WRITE(narea+100,'(4(a,g11.3))')'end of 1st major loop of zdf_osm_calculate_dhdt: zdhdt=',pdhdt(ji,jj), & 2390 & ' zpert=', zpert, ' zddhdt=', zddhdt, ' zvel_max=', zvel_max 2391 IF ( ln_osm_mle ) THEN 2392 WRITE(narea+100,'(3(a,g11.3),/)') 'zvel_mle=',pvel_mle(ji,jj), ' zwb_fk_b=', pwb_fk_b(ji,jj), & 2393 & ' zwb_ent + 2*zwb_fk_b =', pwb_ent(ji,jj) + 2.0 * pwb_fk_b(ji,jj) 2394 FLUSH(narea+100) 2395 END IF 2396 END IF 2397 #endif 2398 ! 2399 END_2D 2400 ! 2401 IF( ln_timing ) CALL timing_stop('zdf_osm_cd') 2402 ! 2403 END SUBROUTINE zdf_osm_calculate_dhdt 2404 2405 SUBROUTINE zdf_osm_timestep_hbl( Kmm, kbld, kmld, ldconv, ldpyc, pdhdt, phbl, phbl_t, pt_bl, ps_bl, pwb_ent, pwb_fk_b ) 2406 !!--------------------------------------------------------------------- 2407 !! *** ROUTINE zdf_osm_timestep_hbl *** 2408 !! 2409 !! ** Purpose : Increments hbl. 2410 !! 2411 !! ** Method : If the change in hbl exceeds one model level the change is 2412 !! is calculated by moving down the grid, changing the 2413 !! buoyancy jump. This is to ensure that the change in hbl 2414 !! does not overshoot a stable layer. 2415 !! 2416 !!---------------------------------------------------------------------- 2417 INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index 2418 INTEGER, DIMENSION(:,:), INTENT(inout) :: kbld ! BL base layer 2419 INTEGER, DIMENSION(:,:), INTENT(in ) :: kmld ! ML base layer 2420 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldconv ! BL stability flags 2421 LOGICAL, DIMENSION(:,:), INTENT(inout) :: ldpyc ! Pycnocline flags 2422 REAL(wp), DIMENSION(A2D(0)), INTENT(inout) :: pdhdt ! Rates of change of hbl 2423 REAL(wp), DIMENSION(:,:), INTENT(inout) :: phbl ! BL depth 2424 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl_t ! BL depth 2425 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pt_bl ! Temperature average over the depth of the blayer 2426 REAL(wp), DIMENSION(:,:), INTENT(in ) :: ps_bl ! Salinity average over the depth of the blayer 2427 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux 2428 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL 2429 ! 2430 ! Local variables 2431 INTEGER :: jk, jj, ji, jm 2432 REAL(wp) :: zhbl_s, zvel_max, zdb 2433 REAL(wp) :: zthermal, zbeta 2434 ! 2435 IF( ln_timing ) CALL timing_start('zdf_osm_th') 2436 ! 2437 DO_2D( 0, 0, 0, 0 ) 2438 #ifdef key_osm_debug 2439 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2440 WRITE(narea+100,'(2(a,i7))')'start of zdf_osm_timestep_hbl: old ibld=',kmld(ji,jj),' trial ibld=', kbld(ji,jj) 2441 FLUSH(narea+100) 2442 END IF 2443 #endif 2444 IF ( kbld(ji,jj) - kmld(ji,jj) > 1 ) THEN 2445 ! 2446 ! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths. 2447 ! 2448 zhbl_s = hbl(ji,jj) 2449 jm = kmld(ji,jj) 2450 zthermal = rab_n(ji,jj,1,jp_tem) 2451 zbeta = rab_n(ji,jj,1,jp_sal) 2452 ! 2453 IF ( ldconv(ji,jj) ) THEN ! Unstable 2454 ! 2455 IF( ln_osm_mle ) THEN 2456 zvel_max = ( swstrl(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / hbl(ji,jj) 2457 ELSE 2458 zvel_max = -1.0_wp * ( 1.0_wp + 1.0_wp * ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird * rn_Dt / & 2459 & hbl(ji,jj) ) * pwb_ent(ji,jj) / & 2460 & ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird 2461 ENDIF 2462 #ifdef key_osm_debug 2463 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2464 WRITE(narea+100,'(a,g11.3)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=T: zvel_max=',zvel_max 2465 FLUSH(narea+100) 2466 END IF 2467 #endif 2468 DO jk = kmld(ji,jj), kbld(ji,jj) 2469 zdb = MAX( grav * ( zthermal * ( pt_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & 2470 & zbeta * ( ps_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + zvel_max 2471 ! 2472 IF ( ln_osm_mle ) THEN 2473 zhbl_s = zhbl_s + MIN( rn_Dt * ( ( -1.0_wp * pwb_ent(ji,jj) - 2.0_wp * pwb_fk_b(ji,jj) ) / zdb ) / & 2474 & REAL( kbld(ji,jj) - kmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) 2475 ELSE 2476 zhbl_s = zhbl_s + MIN( rn_Dt * ( -1.0_wp * pwb_ent(ji,jj) / zdb ) / & 2477 & REAL( kbld(ji,jj) - kmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) ) 2478 ENDIF 2479 ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) 2480 IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN 2481 zhbl_s = MIN( zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1, Kmm ) - depth_tol ) 2482 ldpyc(ji,jj) = .FALSE. 2483 ENDIF 2484 IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 1 2485 #ifdef key_osm_debug 2486 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2487 WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm 2488 WRITE(narea+100,'(2(a,g11.3),a,l7)')'zdb=',zdb,' zhbl_s=', zhbl_s,' lpyc=',ldpyc(ji,jj) 2489 FLUSH(narea+100) 2490 END IF 2491 #endif 2492 END DO 2493 hbl(ji,jj) = zhbl_s 2494 kbld(ji,jj) = jm 2495 ELSE ! Stable 2496 #ifdef key_osm_debug 2497 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2498 WRITE(narea+100,'(a)')'In zdf_osm_timestep_hbl, ibld - imld > 1, lconv=F' 2499 FLUSH(narea+100) 2500 END IF 2501 #endif 2502 DO jk = kmld(ji,jj), kbld(ji,jj) 2503 zdb = MAX( grav * ( zthermal * ( pt_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - & 2504 & zbeta * ( ps_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + & 2505 & 2.0 * svstr(ji,jj)**2 / zhbl_s 2506 ! 2507 ! Alan is thuis right? I have simply changed hbli to hbl 2508 shol(ji,jj) = -1.0_wp * zhbl_s / ( ( svstr(ji,jj)**3 + epsln ) / swbav(ji,jj) ) 2509 pdhdt(ji,jj) = -1.0_wp * ( swbav(ji,jj) - 0.04_wp / 2.0_wp * swstrl(ji,jj)**3 / zhbl_s - & 2510 & 0.15_wp / 2.0_wp * ( 1.0_wp - EXP( -1.5_wp * sla(ji,jj) ) ) * & 2511 & sustar(ji,jj)**3 / zhbl_s ) * & 2512 & ( 0.725_wp + 0.225_wp * EXP( -7.5_wp * shol(ji,jj) ) ) 2513 pdhdt(ji,jj) = pdhdt(ji,jj) + swbav(ji,jj) 2514 zhbl_s = zhbl_s + MIN( pdhdt(ji,jj) / zdb * rn_Dt / REAL( kbld(ji,jj) - kmld(ji,jj), KIND=wp ), & 2515 & e3w(ji,jj,jm,Kmm) ) 2516 2517 ! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol) 2518 IF ( zhbl_s >= mbkt(ji,jj) + 1 ) THEN 2519 zhbl_s = MIN( zhbl_s, gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - depth_tol ) 2520 ldpyc(ji,jj) = .FALSE. 2521 ENDIF 2522 IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 1 2523 #ifdef key_osm_debug 2524 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2525 WRITE(narea+100,'(2(a,i7))')' jk=',jk,' jm=', jm 2526 WRITE(narea+100,'(4(a,g11.3),a,l7)')'zdb=',zdb,' shol',shol(ji,jj),' zdhdt',pdhdt(ji,jj),' zhbl_s=', zhbl_s,' lpyc=',ldpyc(ji,jj) 2527 FLUSH(narea+100) 2528 END IF 2529 #endif 2530 END DO 2531 ENDIF ! IF ( ldconv ) 2532 hbl(ji,jj) = MAX( zhbl_s, gdepw(ji,jj,4,Kmm) ) 2533 kbld(ji,jj) = MAX( jm, 4 ) 2534 ELSE 2535 ! change zero or one model level. 2536 hbl(ji,jj) = MAX( phbl_t(ji,jj), gdepw(ji,jj,4,Kmm) ) 2537 ENDIF 2538 phbl(ji,jj) = gdepw(ji,jj,kbld(ji,jj),Kmm) 2539 #ifdef key_osm_debug 2540 IF(narea==nn_narea_db.and.ji==iloc_db.and.jj==jloc_db)THEN 2541 WRITE(narea+100,'(2(a,g11.3),a,i7,/)')'end of zdf_osm_timestep_hbl: hbl=', hbl(ji,jj),' zhbl=', phbl(ji,jj),' ibld=', kbld(ji,jj) 2542 FLUSH(narea+100) 2543 END IF 2544 #endif 2545 END_2D 2546 ! 2547 IF( ln_timing ) CALL timing_stop('zdf_osm_th') 2548 ! 2549 END SUBROUTINE zdf_osm_timestep_hbl 2550 2524 2551 SUBROUTINE zdf_osm_diffusivity_viscosity( Kbb, Kmm, kbld, kmld, ldconv, ldshear, ldpyc, ldcoup, k_ddh, pdiffut, pviscos, & 2525 2552 & phbl, phml, pdh, pdhdt, pshear, pb_bl, pu_bl, pv_bl, pb_ml, pu_ml, pv_ml, pwb_ent, & … … 2534 2561 !! 2535 2562 !!---------------------------------------------------------------------- 2536 INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices2537 INTEGER, DIMENSION(:,:), INTENT(in ) :: kbld ! BL base layer2538 INTEGER, DIMENSION(:,:), INTENT(in ) :: kmld ! ML base layer2539 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldconv ! BL stability flags2540 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldshear ! Shear layers2541 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldpyc ! Pycnocline flags2542 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldcoup ! Coupling to bottom2543 INTEGER, DIMENSION(:,:), INTENT(in ) :: k_ddh ! Type of shear layer2544 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pdiffut ! t-diffusivity2545 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pviscos ! Viscosity2546 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth2547 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth2548 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth2549 REAL(wp), DIMENSION( :,:),INTENT(in ) :: pdhdt ! BL depth tendency2550 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear ! Shear production2551 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pb_bl ! Buoyancy average over the depth of the boundary layer2552 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pu_bl ! Velocity average over the depth of the boundary layer2553 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pv_bl ! Velocity average over the depth of the boundary layer2554 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pb_ml ! Buoyancy average over the depth of the mixed layer2555 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pu_ml ! Velocity average over the depth of the mixed layer2556 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pv_ml ! Velocity average over the depth of the mixed layer2557 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux2558 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_min2563 INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices 2564 INTEGER, DIMENSION(:,:), INTENT(in ) :: kbld ! BL base layer 2565 INTEGER, DIMENSION(:,:), INTENT(in ) :: kmld ! ML base layer 2566 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldconv ! BL stability flags 2567 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldshear ! Shear layers 2568 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldpyc ! Pycnocline flags 2569 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldcoup ! Coupling to bottom 2570 INTEGER, DIMENSION(:,:), INTENT(in ) :: k_ddh ! Type of shear layer 2571 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pdiffut ! t-diffusivity 2572 REAL(wp), DIMENSION(:,:,:), INTENT(inout) :: pviscos ! Viscosity 2573 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth 2574 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth 2575 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth 2576 REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency 2577 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear ! Shear production 2578 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pb_bl ! Buoyancy average over the depth of the boundary layer 2579 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pu_bl ! Velocity average over the depth of the boundary layer 2580 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pv_bl ! Velocity average over the depth of the boundary layer 2581 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pb_ml ! Buoyancy average over the depth of the mixed layer 2582 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pu_ml ! Velocity average over the depth of the mixed layer 2583 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pv_ml ! Velocity average over the depth of the mixed layer 2584 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux 2585 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pwb_min 2559 2586 ! 2560 2587 ! Local variables … … 2795 2822 SUBROUTINE zdf_osm_fgr_terms( Kmm, kbld, kmld, kp_ext, ldconv, ldpyc, k_ddh, phbl, phml, pdh, pdhdt, pshear, & 2796 2823 & pdt_bl, pds_bl, pdb_bl, pdu_bl, pdv_bl, pdt_ml, pds_ml, pdb_ml, pdu_ml, pdv_ml, & 2797 & pdtdz_bl_ext, pdsdz_bl_ext, pdbdz_ bl_ext, pdbdz_pyc, palpha_pyc, pdiffut, pviscos )2824 & pdtdz_bl_ext, pdsdz_bl_ext, pdbdz_pyc, palpha_pyc, pdiffut, pviscos ) 2798 2825 !!--------------------------------------------------------------------- 2799 2826 !! *** ROUTINE zdf_osm_fgr_terms *** … … 2804 2831 !! 2805 2832 !!---------------------------------------------------------------------- 2806 INTEGER, INTENT(in ) :: Kmm ! Time-level index 2807 INTEGER, DIMENSION(:,:), INTENT(in ) :: kbld ! BL base layer 2808 INTEGER, DIMENSION(:,:), INTENT(in ) :: kmld ! ML base layer 2809 INTEGER, DIMENSION(:,:), INTENT(in ) :: kp_ext ! Offset for external level 2810 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldconv ! BL stability flags 2811 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldpyc ! Pycnocline flags 2812 INTEGER, DIMENSION(:,:), INTENT(in ) :: k_ddh ! Type of shear layer 2813 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth 2814 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth 2815 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth 2816 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdhdt ! BL depth tendency 2817 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear ! Shear production 2818 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdt_bl ! Temperature diff. between BL average and basal value 2819 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pds_bl ! Salinity diff. between BL average and basal value 2820 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value 2821 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_bl ! Velocity diff. (u) between BL average and basal value 2822 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_bl ! Velocity diff. (u) between BL average and basal value 2823 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdt_ml ! Temperature diff. between mixed-layer average and basal value 2824 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pds_ml ! Salinity diff. between mixed-layer average and basal value 2825 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value 2826 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_ml ! Velocity diff. (u) between mixed-layer average and basal value 2827 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_ml ! Velocity diff. (v) between mixed-layer average and basal value 2828 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdtdz_bl_ext ! External temperature gradients 2829 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdsdz_bl_ext ! External salinity gradients 2830 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients 2831 REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdbdz_pyc ! Pycnocline buoyancy gradients 2832 REAL(wp), DIMENSION(:,:), INTENT(in ) :: palpha_pyc ! 2833 REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdiffut ! t-diffusivity 2834 REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pviscos ! Viscosity 2833 INTEGER, INTENT(in ) :: Kmm ! Time-level index 2834 INTEGER, DIMENSION(:,:), INTENT(in ) :: kbld ! BL base layer 2835 INTEGER, DIMENSION(:,:), INTENT(in ) :: kmld ! ML base layer 2836 INTEGER, DIMENSION(:,:), INTENT(in ) :: kp_ext ! Offset for external level 2837 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldconv ! BL stability flags 2838 LOGICAL, DIMENSION(:,:), INTENT(in ) :: ldpyc ! Pycnocline flags 2839 INTEGER, DIMENSION(:,:), INTENT(in ) :: k_ddh ! Type of shear layer 2840 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phbl ! BL depth 2841 REAL(wp), DIMENSION(:,:), INTENT(in ) :: phml ! ML depth 2842 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdh ! Pycnocline depth 2843 REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdhdt ! BL depth tendency 2844 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pshear ! Shear production 2845 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdt_bl ! Temperature diff. between BL average and basal value 2846 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pds_bl ! Salinity diff. between BL average and basal value 2847 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_bl ! Buoyancy diff. between BL average and basal value 2848 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_bl ! Velocity diff. (u) between BL average and basal value 2849 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_bl ! Velocity diff. (v) between BL average and basal value 2850 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdt_ml ! Temperature diff. between mixed-layer average and basal value 2851 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pds_ml ! Salinity diff. between mixed-layer average and basal value 2852 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdb_ml ! Buoyancy diff. between mixed-layer average and basal value 2853 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdu_ml ! Velocity diff. (u) between mixed-layer average and basal value 2854 REAL(wp), DIMENSION(:,:), INTENT(in ) :: pdv_ml ! Velocity diff. (v) between mixed-layer average and basal value 2855 REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdtdz_bl_ext ! External temperature gradients 2856 REAL(wp), DIMENSION(A2D(0)), INTENT(in ) :: pdsdz_bl_ext ! External salinity gradients 2857 REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdbdz_pyc ! Pycnocline buoyancy gradients 2858 REAL(wp), DIMENSION(:,:), INTENT(in ) :: palpha_pyc ! 2859 REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pdiffut ! t-diffusivity 2860 REAL(wp), DIMENSION(:,:,:), INTENT(in ) :: pviscos ! Viscosity 2835 2861 ! 2836 2862 REAL(wp), DIMENSION(:,:,:), ALLOCATABLE :: z3ddz_pyc_1, z3ddz_pyc_2 ! Pycnocline gradient/shear profiles
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