Newer
Older
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
1147
1148
1149
1150
1151
1152
1153
1154
1155
1156
1157
1158
1159
1160
1161
1162
1163
1164
1165
1166
1167
1168
1169
1170
1171
1172
1173
1174
1175
1176
1177
1178
1179
1180
1181
1182
1183
1184
1185
1186
1187
1188
1189
1190
1191
1192
1193
1194
1195
1196
1197
1198
1199
1200
1201
1202
1203
1204
1205
1206
1207
1208
1209
1210
1211
1212
1213
1214
1215
1216
1217
1218
1219
1220
1221
1222
1223
1224
1225
1226
1227
1228
1229
1230
1231
1232
1233
1234
1235
1236
1237
1238
1239
1240
1241
1242
1243
1244
1245
1246
1247
1248
1249
1250
1251
1252
1253
1254
1255
1256
1257
1258
1259
1260
1261
1262
1263
1264
1265
1266
1267
1268
1269
1270
1271
1272
1273
1274
1275
1276
1277
1278
1279
1280
1281
1282
1283
1284
1285
1286
1287
1288
1289
1290
1291
1292
1293
1294
1295
1296
1297
1298
1299
1300
1301
1302
1303
1304
1305
1306
1307
1308
1309
1310
1311
1312
1313
1314
1315
1316
1317
1318
1319
1320
1321
1322
1323
1324
1325
1326
1327
1328
1329
1330
1331
1332
1333
1334
1335
1336
1337
1338
1339
1340
1341
1342
1343
1344
1345
1346
1347
1348
1349
1350
1351
1352
1353
1354
1355
1356
1357
1358
1359
1360
1361
1362
1363
1364
1365
1366
1367
1368
1369
1370
1371
1372
1373
1374
1375
1376
1377
1378
1379
1380
1381
1382
1383
1384
1385
1386
1387
1388
1389
1390
1391
1392
1393
1394
1395
1396
1397
1398
1399
1400
1401
1402
1403
1404
1405
1406
1407
1408
1409
1410
1411
1412
1413
1414
1415
1416
1417
1418
1419
1420
1421
1422
1423
1424
1425
1426
1427
1428
1429
1430
1431
1432
1433
1434
1435
1436
1437
1438
1439
1440
1441
1442
1443
1444
1445
1446
1447
1448
1449
1450
1451
1452
1453
1454
1455
1456
1457
1458
1459
1460
1461
1462
1463
1464
1465
1466
1467
1468
1469
1470
1471
1472
1473
1474
1475
1476
1477
1478
1479
1480
1481
1482
1483
1484
1485
1486
1487
1488
1489
1490
1491
1492
1493
1494
1495
1496
1497
1498
1499
1500
1501
1502
1503
1504
1505
1506
1507
1508
1509
1510
1511
1512
1513
1514
1515
1516
1517
1518
1519
1520
1521
1522
1523
1524
1525
1526
1527
1528
1529
1530
1531
1532
1533
1534
1535
1536
1537
1538
1539
1540
1541
1542
1543
1544
1545
1546
1547
1548
1549
1550
1551
1552
1553
1554
1555
1556
1557
1558
1559
1560
1561
1562
1563
1564
1565
1566
1567
1568
1569
1570
1571
1572
1573
1574
1575
1576
1577
1578
1579
1580
1581
1582
1583
1584
1585
1586
1587
1588
1589
1590
1591
1592
1593
1594
1595
1596
1597
1598
1599
1600
1601
1602
1603
1604
1605
1606
1607
1608
1609
1610
1611
1612
1613
1614
1615
1616
1617
1618
1619
1620
1621
1622
1623
1624
1625
1626
1627
1628
1629
1630
1631
1632
1633
1634
1635
1636
1637
1638
1639
1640
1641
1642
1643
1644
1645
1646
1647
1648
1649
1650
1651
1652
1653
1654
1655
1656
1657
1658
1659
1660
1661
1662
1663
1664
1665
1666
1667
DO jj = Njs0, Nje0
DO ji = Nis0, Nie0
ghamu(ji,jj,jk) = ( ghamu(ji,jj,jk) + ghamu(ji+1,jj,jk) ) / &
& MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji+1,jj,jk) ) * umask(ji,jj,jk)
ghamv(ji,jj,jk) = ( ghamv(ji,jj,jk) + ghamv(ji,jj+1,jk) ) / &
& MAX( 1.0_wp, tmask(ji,jj,jk) + tmask (ji,jj+1,jk) ) * vmask(ji,jj,jk)
ghamt(ji,jj,jk) = ghamt(ji,jj,jk) * tmask(ji,jj,jk)
ghams(ji,jj,jk) = ghams(ji,jj,jk) * tmask(ji,jj,jk)
END DO
END DO
END DO
! Lateral boundary conditions on final outputs for hbl, on T-grid (sign unchanged)
CALL lbc_lnk( 'zdfosm', hbl, 'T', 1.0_wp, &
& hmle, 'T', 1.0_wp )
!
CALL zdf_osm_iomput( "ghamt", tmask * ghamt ) ! <Tw_NL>
CALL zdf_osm_iomput( "ghams", tmask * ghams ) ! <Sw_NL>
CALL zdf_osm_iomput( "ghamu", umask * ghamu ) ! <uw_NL>
CALL zdf_osm_iomput( "ghamv", vmask * ghamv ) ! <vw_NL>
CALL zdf_osm_iomput( "hbl", tmask(:,:,1) * hbl ) ! Boundary-layer depth
CALL zdf_osm_iomput( "hmle", tmask(:,:,1) * hmle ) ! FK layer depth
END IF
!
END SUBROUTINE zdf_osm
SUBROUTINE zdf_osm_vertical_average( Kbb, Kmm, knlev, pt, ps, &
& pb, pu, pv, kp_ext, pdt, &
& pds, pdb, pdu, pdv )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_vertical_average ***
!!
!! ** Purpose : Determines vertical averages from surface to knlev,
!! and optionally the differences between these vertical
!! averages and values at an external level
!!
!! ** Method : Averages are calculated from the surface to knlev.
!! The external level used to calculate differences is
!! knlev+kp_ext
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices
INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: knlev ! Number of levels to average over.
REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pt, ps ! Average temperature and salinity
REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pb ! Average buoyancy
REAL(wp), DIMENSION(jpi,jpj), INTENT( out) :: pu, pv ! Average current components
INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ), OPTIONAL :: kp_ext ! External-level offsets
REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdt ! Difference between average temperature,
REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pds ! salinity,
REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdb ! buoyancy, and
REAL(wp), DIMENSION(jpi,jpj), INTENT( out), OPTIONAL :: pdu, pdv ! velocity components and the OSBL
!!
INTEGER :: jk, jkflt, jkmax, ji, jj ! Loop indices
INTEGER :: ibld_ext ! External-layer index
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zthick ! Layer thickness
REAL(wp) :: zthermal ! Thermal expansion coefficient
REAL(wp) :: zbeta ! Haline contraction coefficient
!!----------------------------------------------------------------------
!
! Averages over depth of boundary layer
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pt(ji,jj) = 0.0_wp
ps(ji,jj) = 0.0_wp
pu(ji,jj) = 0.0_wp
pv(ji,jj) = 0.0_wp
END_2D
zthick(:,:) = epsln
jkflt = jpk
jkmax = 0
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( knlev(ji,jj) < jkflt ) jkflt = knlev(ji,jj)
IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj)
END_2D
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, 2, jkflt ) ! Upper, flat part of layer
zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm)
pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm)
ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm)
pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * &
& ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / &
& MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) )
pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * &
& ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / &
& MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) )
END_3D
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jkflt+1, jkmax ) ! Lower, non-flat part of layer
IF ( knlev(ji,jj) >= jk ) THEN
zthick(ji,jj) = zthick(ji,jj) + e3t(ji,jj,jk,Kmm)
pt(ji,jj) = pt(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_tem,Kmm)
ps(ji,jj) = ps(ji,jj) + e3t(ji,jj,jk,Kmm) * ts(ji,jj,jk,jp_sal,Kmm)
pu(ji,jj) = pu(ji,jj) + e3t(ji,jj,jk,Kmm) * &
& ( uu(ji,jj,jk,Kbb) + uu(ji - 1,jj,jk,Kbb) ) / &
& MAX( 1.0_wp , umask(ji,jj,jk) + umask(ji - 1,jj,jk) )
pv(ji,jj) = pv(ji,jj) + e3t(ji,jj,jk,Kmm) * &
& ( vv(ji,jj,jk,Kbb) + vv(ji,jj - 1,jk,Kbb) ) / &
& MAX( 1.0_wp , vmask(ji,jj,jk) + vmask(ji,jj - 1,jk) )
END IF
END_3D
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pt(ji,jj) = pt(ji,jj) / zthick(ji,jj)
ps(ji,jj) = ps(ji,jj) / zthick(ji,jj)
pu(ji,jj) = pu(ji,jj) / zthick(ji,jj)
pv(ji,jj) = pv(ji,jj) / zthick(ji,jj)
zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1??
zbeta = rab_n(ji,jj,1,jp_sal)
pb(ji,jj) = grav * zthermal * pt(ji,jj) - grav * zbeta * ps(ji,jj)
END_2D
!
! Differences between vertical averages and values at an external layer
IF ( PRESENT( kp_ext ) ) THEN
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
ibld_ext = knlev(ji,jj) + kp_ext(ji,jj)
IF ( ibld_ext <= mbkt(ji,jj)-1 ) THEN ! ag 09/03
! Two external levels are available
pdt(ji,jj) = pt(ji,jj) - ts(ji,jj,ibld_ext,jp_tem,Kmm)
pds(ji,jj) = ps(ji,jj) - ts(ji,jj,ibld_ext,jp_sal,Kmm)
pdu(ji,jj) = pu(ji,jj) - ( uu(ji,jj,ibld_ext,Kbb) + uu(ji-1,jj,ibld_ext,Kbb ) ) / &
& MAX(1.0_wp , umask(ji,jj,ibld_ext ) + umask(ji-1,jj,ibld_ext ) )
pdv(ji,jj) = pv(ji,jj) - ( vv(ji,jj,ibld_ext,Kbb) + vv(ji,jj-1,ibld_ext,Kbb ) ) / &
& MAX(1.0_wp , vmask(ji,jj,ibld_ext ) + vmask(ji,jj-1,ibld_ext ) )
zthermal = rab_n(ji,jj,1,jp_tem) ! ideally use nbld not 1??
zbeta = rab_n(ji,jj,1,jp_sal)
pdb(ji,jj) = grav * zthermal * pdt(ji,jj) - grav * zbeta * pds(ji,jj)
ELSE
pdt(ji,jj) = 0.0_wp
pds(ji,jj) = 0.0_wp
pdu(ji,jj) = 0.0_wp
pdv(ji,jj) = 0.0_wp
pdb(ji,jj) = 0.0_wp
ENDIF
END_2D
END IF
!
END SUBROUTINE zdf_osm_vertical_average
SUBROUTINE zdf_osm_velocity_rotation_2d( pu, pv, fwd )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_velocity_rotation_2d ***
!!
!! ** Purpose : Rotates frame of reference of velocity components pu and
!! pv (2d)
!!
!! ** Method : The velocity components are rotated into (fwd=.TRUE.) or
!! from (fwd=.FALSE.) the frame specified by scos_wind and
!! ssin_wind
!!
!!----------------------------------------------------------------------
REAL(wp), INTENT(inout), DIMENSION(jpi,jpj) :: pu, pv ! Components of current
LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation
!!
INTEGER :: ji, jj ! Loop indices
REAL(wp) :: ztmp, zfwd ! Auxiliary variables
!!----------------------------------------------------------------------
!
zfwd = 1.0_wp
IF( PRESENT(fwd) .AND. ( .NOT. fwd ) ) zfwd = -1.0_wp
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
ztmp = pu(ji,jj)
pu(ji,jj) = pu(ji,jj) * scos_wind(ji,jj) + zfwd * pv(ji,jj) * ssin_wind(ji,jj)
pv(ji,jj) = pv(ji,jj) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj)
END_2D
!
END SUBROUTINE zdf_osm_velocity_rotation_2d
SUBROUTINE zdf_osm_velocity_rotation_3d( pu, pv, fwd, ktop, knlev )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_velocity_rotation_3d ***
!!
!! ** Purpose : Rotates frame of reference of velocity components pu and
!! pv (3d)
!!
!! ** Method : The velocity components are rotated into (fwd=.TRUE.) or
!! from (fwd=.FALSE.) the frame specified by scos_wind and
!! ssin_wind; optionally, the rotation can be restricted at
!! each water column to span from the a minimum index ktop to
!! the depth index specified in array knlev
!!
!!----------------------------------------------------------------------
REAL(wp), INTENT(inout), DIMENSION(jpi,jpj,jpk) :: pu, pv ! Components of current
LOGICAL, OPTIONAL, INTENT(in ) :: fwd ! Forward (default) or reverse rotation
INTEGER, OPTIONAL, INTENT(in ) :: ktop ! Minimum depth index
INTEGER, OPTIONAL, INTENT(in ), DIMENSION(A2D(nn_hls-1)) :: knlev ! Array of maximum depth indices
!!
INTEGER :: ji, jj, jk, jktop, jkmax ! Loop indices
REAL(wp) :: ztmp, zfwd ! Auxiliary variables
LOGICAL :: llkbot ! Auxiliary variable
!!----------------------------------------------------------------------
!
zfwd = 1.0_wp
IF( PRESENT(fwd) .AND. ( .NOT. fwd ) ) zfwd = -1.0_wp
jktop = 1
IF( PRESENT(ktop) ) jktop = ktop
IF( PRESENT(knlev) ) THEN
jkmax = 0
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( knlev(ji,jj) > jkmax ) jkmax = knlev(ji,jj)
END_2D
llkbot = .FALSE.
ELSE
jkmax = jpk
llkbot = .TRUE.
END IF
DO_3D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1, jktop, jkmax )
IF ( llkbot .OR. knlev(ji,jj) >= jk ) THEN
ztmp = pu(ji,jj,jk)
pu(ji,jj,jk) = pu(ji,jj,jk) * scos_wind(ji,jj) + zfwd * pv(ji,jj,jk) * ssin_wind(ji,jj)
pv(ji,jj,jk) = pv(ji,jj,jk) * scos_wind(ji,jj) - zfwd * ztmp * ssin_wind(ji,jj)
END IF
END_3D
!
END SUBROUTINE zdf_osm_velocity_rotation_3d
SUBROUTINE zdf_osm_osbl_state( Kmm, pwb_ent, pwb_min, pshear, phbl, &
& phml, pdh )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_osbl_state ***
!!
!! ** Purpose : Determines the state of the OSBL, stable/unstable,
!! shear/ noshear. Also determines shear production,
!! entrainment buoyancy flux and interfacial Richardson
!! number
!!
!! ** Method :
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pwb_ent ! Buoyancy fluxes at base
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pwb_min ! of well-mixed layer
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pshear ! Production of TKE due to shear across the pycnocline
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth
!!
INTEGER :: jj, ji ! Loop indices
!!
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zekman
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zri_p, zri_b ! Richardson numbers
REAL(wp) :: zshear_u, zshear_v, zwb_shr
REAL(wp) :: zwcor, zrf_conv, zrf_shear, zrf_langmuir, zr_stokes
!!
REAL(wp), PARAMETER :: pp_a_shr = 0.4_wp, pp_b_shr = 6.5_wp, pp_a_wb_s = 0.8_wp
REAL(wp), PARAMETER :: pp_alpha_c = 0.2_wp, pp_alpha_lc = 0.03_wp
REAL(wp), PARAMETER :: pp_alpha_ls = 0.06_wp, pp_alpha_s = 0.15_wp
REAL(wp), PARAMETER :: pp_ri_p_thresh = 27.0_wp
REAL(wp), PARAMETER :: pp_ri_c = 0.25_wp
REAL(wp), PARAMETER :: pp_ek = 4.0_wp
REAL(wp), PARAMETER :: pp_large = -1e10_wp
!!----------------------------------------------------------------------
!
! Initialise arrays
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
l_conv(ji,jj) = .FALSE.
l_shear(ji,jj) = .FALSE.
n_ddh(ji,jj) = 1
END_2D
! Initialise INTENT( out) arrays
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pwb_ent(ji,jj) = pp_large
pwb_min(ji,jj) = pp_large
END_2D
!
! Determins stability and set flag l_conv
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( shol(ji,jj) < 0.0_wp ) THEN
l_conv(ji,jj) = .TRUE.
ELSE
l_conv(ji,jj) = .FALSE.
ENDIF
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pshear(ji,jj) = 0.0_wp
END_2D
zekman(:,:) = EXP( -1.0_wp * pp_ek * ABS( ff_t(A2D(nn_hls-1)) ) * phbl(A2D(nn_hls-1)) / &
& MAX( sustar(A2D(nn_hls-1)), 1.e-8 ) )
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) ) THEN
IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN
zri_p(ji,jj) = MAX ( SQRT( av_db_bl(ji,jj) * pdh(ji,jj) / MAX( av_du_bl(ji,jj)**2 + av_dv_bl(ji,jj)**2, &
& 1e-8_wp ) ) * ( phbl(ji,jj) / pdh(ji,jj) ) * &
& ( svstr(ji,jj) / MAX( sustar(ji,jj), 1e-6_wp ) )**2 / &
& MAX( zekman(ji,jj), 1.0e-6_wp ), 5.0_wp )
IF ( ff_t(ji,jj) >= 0.0_wp ) THEN ! Northern hemisphere
zri_b(ji,jj) = av_db_ml(ji,jj) * pdh(ji,jj) / ( MAX( av_du_ml(ji,jj), 1e-5_wp )**2 + &
& MAX( -1.0_wp * av_dv_ml(ji,jj), 1e-5_wp)**2 )
ELSE ! Southern hemisphere
zri_b(ji,jj) = av_db_ml(ji,jj) * pdh(ji,jj) / ( MAX( av_du_ml(ji,jj), 1e-5_wp )**2 + &
& MAX( av_dv_ml(ji,jj), 1e-5_wp)**2 )
END IF
pshear(ji,jj) = pp_a_shr * zekman(ji,jj) * &
& ( MAX( sustar(ji,jj)**2 * av_du_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) + &
& pp_b_shr * MAX( -1.0_wp * ff_t(ji,jj) * sustke(ji,jj) * dstokes(ji,jj) * &
& av_dv_ml(ji,jj) / phbl(ji,jj), 0.0_wp ) )
! Stability dependence
pshear(ji,jj) = pshear(ji,jj) * EXP( -0.75_wp * MAX( 0.0_wp, ( zri_b(ji,jj) - pp_ri_c ) / pp_ri_c ) )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Test ensures n_ddh=0 is not selected. Change to zri_p<27 when !
! full code available !
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
IF ( pshear(ji,jj) > 1e-10 ) THEN
IF ( zri_p(ji,jj) < pp_ri_p_thresh .AND. &
& MIN( hu(ji,jj,Kmm), hu(ji-1,jj,Kmm), hv(ji,jj,Kmm), hv(ji,jj-1,Kmm) ) > 100.0_wp ) THEN
! Growing shear layer
n_ddh(ji,jj) = 0
l_shear(ji,jj) = .TRUE.
ELSE
n_ddh(ji,jj) = 1
! IF ( zri_b <= 1.5 .and. pshear(ji,jj) > 0._wp ) THEN
! Shear production large enough to determine layer charcteristics, but can't maintain a shear layer
l_shear(ji,jj) = .TRUE.
! ELSE
END IF
ELSE
n_ddh(ji,jj) = 2
l_shear(ji,jj) = .FALSE.
END IF
! Shear production may not be zero, but is small and doesn't determine characteristics of pycnocline
! pshear(ji,jj) = 0.5 * pshear(ji,jj)
! l_shear(ji,jj) = .FALSE.
! ENDIF
ELSE ! av_db_bl test, note pshear set to zero
n_ddh(ji,jj) = 2
l_shear(ji,jj) = .FALSE.
ENDIF
ENDIF
END_2D
!
! Calculate entrainment buoyancy flux due to surface fluxes.
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_conv(ji,jj) ) THEN
zwcor = ABS( ff_t(ji,jj) ) * phbl(ji,jj) + epsln
zrf_conv = TANH( ( swstrc(ji,jj) / zwcor )**0.69_wp )
zrf_shear = TANH( ( sustar(ji,jj) / zwcor )**0.69_wp )
zrf_langmuir = TANH( ( swstrl(ji,jj) / zwcor )**0.69_wp )
IF ( nn_osm_SD_reduce > 0 ) THEN
! Effective Stokes drift already reduced from surface value
zr_stokes = 1.0_wp
ELSE
! Effective Stokes drift only reduced by factor rn_zdfodm_adjust_sd,
! requires further reduction where BL is deep
zr_stokes = 1.0 - EXP( -25.0_wp * dstokes(ji,jj) / hbl(ji,jj) * ( 1.0_wp + 4.0_wp * dstokes(ji,jj) / hbl(ji,jj) ) )
END IF
pwb_ent(ji,jj) = -2.0_wp * pp_alpha_c * zrf_conv * swbav(ji,jj) - &
& pp_alpha_s * zrf_shear * sustar(ji,jj)**3 / phml(ji,jj) + &
& zr_stokes * ( pp_alpha_s * EXP( -1.5_wp * sla(ji,jj) ) * zrf_shear * sustar(ji,jj)**3 - &
& zrf_langmuir * pp_alpha_lc * swstrl(ji,jj)**3 ) / phml(ji,jj)
ENDIF
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( l_shear(ji,jj) ) THEN
IF ( l_conv(ji,jj) ) THEN
! Unstable OSBL
zwb_shr = -1.0_wp * pp_a_wb_s * zri_b(ji,jj) * pshear(ji,jj)
IF ( n_ddh(ji,jj) == 0 ) THEN
! Developing shear layer, additional shear production possible.
! pshear_u = MAX( zustar(ji,jj)**2 * MAX( av_du_ml(ji,jj), 0._wp ) / phbl(ji,jj), 0._wp )
! pshear(ji,jj) = pshear(ji,jj) + pshear_u * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1.d0 )**2 )
! pshear(ji,jj) = MIN( pshear(ji,jj), pshear_u )
! zwb_shr = zwb_shr - 0.25 * MAX ( pshear_u, 0._wp) * ( 1.0 - MIN( zri_p(ji,jj) / pp_ri_p_thresh, 1._wp )**2 )
! zwb_shr = MAX( zwb_shr, -0.25 * pshear_u )
ENDIF
pwb_ent(ji,jj) = pwb_ent(ji,jj) + zwb_shr
! pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * zwb0(ji,jj)
ELSE ! IF ( l_conv ) THEN - ENDIF
! Stable OSBL - shear production not coded for first attempt.
ENDIF ! l_conv
END IF ! l_shear
IF ( l_conv(ji,jj) ) THEN
! Unstable OSBL
pwb_min(ji,jj) = pwb_ent(ji,jj) + pdh(ji,jj) / phbl(ji,jj) * 2.0_wp * swbav(ji,jj)
END IF ! l_conv
END_2D
!
END SUBROUTINE zdf_osm_osbl_state
SUBROUTINE zdf_osm_external_gradients( Kmm, kbase, pdtdz, pdsdz, pdbdz )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_external_gradients ***
!!
!! ** Purpose : Calculates the gradients below the OSBL
!!
!! ** Method : Uses nbld and ibld_ext to determine levels to calculate the gradient.
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index
INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: kbase ! OSBL base layer index
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pdtdz, pdsdz ! External gradients of temperature, salinity
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pdbdz ! and buoyancy
!!
INTEGER :: ji, jj, jkb, jkb1
REAL(wp) :: zthermal, zbeta
!!
REAL(wp), PARAMETER :: pp_large = -1e10_wp
!!----------------------------------------------------------------------
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pdtdz(ji,jj) = pp_large
pdsdz(ji,jj) = pp_large
pdbdz(ji,jj) = pp_large
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( kbase(ji,jj)+1 < mbkt(ji,jj) ) THEN
zthermal = rab_n(ji,jj,1,jp_tem) ! Ideally use nbld not 1??
zbeta = rab_n(ji,jj,1,jp_sal)
jkb = kbase(ji,jj)
jkb1 = MIN( jkb + 1, mbkt(ji,jj) )
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)
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)
pdbdz(ji,jj) = grav * zthermal * pdtdz(ji,jj) - grav * zbeta * pdsdz(ji,jj)
ELSE
pdtdz(ji,jj) = 0.0_wp
pdsdz(ji,jj) = 0.0_wp
pdbdz(ji,jj) = 0.0_wp
END IF
END_2D
!
END SUBROUTINE zdf_osm_external_gradients
SUBROUTINE zdf_osm_calculate_dhdt( pdhdt, phbl, pdh, pwb_ent, pwb_min, &
& pdbdz_bl_ext, pwb_fk_b, pwb_fk, pvel_mle )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_calculate_dhdt ***
!!
!! ** Purpose : Calculates the rate at which hbl changes.
!!
!! ** Method :
!!
!!----------------------------------------------------------------------
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pdhdt ! Rate of change of hbl
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_min
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_fk ! Max MLE buoyancy flux
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pvel_mle ! Vvelocity scale for dhdt with stable ML and FK
!!
INTEGER :: jj, ji
REAL(wp) :: zgamma_b_nd, zgamma_dh_nd, zpert, zpsi, zari
REAL(wp) :: zvel_max, zddhdt
!!
REAL(wp), PARAMETER :: pp_alpha_b = 0.3_wp
REAL(wp), PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth
REAL(wp), PARAMETER :: pp_large = -1e10_wp
!!----------------------------------------------------------------------
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pdhdt(ji,jj) = pp_large
pwb_fk_b(ji,jj) = pp_large
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
!
IF ( l_shear(ji,jj) ) THEN
!
IF ( l_conv(ji,jj) ) THEN ! Convective
!
IF ( ln_osm_mle ) THEN
IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL
pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * ( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * &
& ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj) )**3 ) )
ELSE
pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj)
ENDIF
zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)
IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening,
! ! entrainment > restratification
IF ( av_db_bl(ji,jj) > 1e-15_wp ) THEN
zgamma_b_nd = MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) * pdh(ji,jj) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
zpsi = ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * &
& ( 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)
zpsi = zpsi + 1.75_wp * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * &
& ( 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 )
zpsi = pp_alpha_b * MAX( zpsi, 0.0_wp )
pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) ) + &
& zpsi / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
IF ( n_ddh(ji,jj) == 1 ) THEN
IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN
zari = MIN( 1.5_wp * av_db_bl(ji,jj) / &
& ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + &
& av_db_bl(ji,jj)**2 / MAX( 4.5_wp * svstr(ji,jj)**2, &
& 1e-12_wp ) ) ), 0.2_wp )
ELSE
zari = MIN( 1.5_wp * av_db_bl(ji,jj) / &
& ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + &
& av_db_bl(ji,jj)**2 / MAX( 4.5_wp * swstrc(ji,jj)**2, &
& 1e-12_wp ) ) ), 0.2_wp )
ENDIF
! Relaxation to dh_ref = zari * hbl
zddhdt = -1.0_wp * pp_ddh_2 * ( 1.0_wp - pdh(ji,jj) / ( zari * phbl(ji,jj) ) ) * pwb_ent(ji,jj) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
ELSE IF ( n_ddh(ji,jj) == 0 ) THEN ! Growing shear layer
zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8_wp ) ) * zddhdt
ELSE
zddhdt = 0.0_wp
ENDIF ! n_ddh
pdhdt(ji,jj) = pdhdt(ji,jj) + pp_alpha_b * ( 1.0_wp - 0.5_wp * pdh(ji,jj) / phbl(ji,jj) ) * &
& av_db_ml(ji,jj) * MAX( zddhdt, 0.0_wp ) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
ELSE ! av_db_bl >0
pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp )
ENDIF
ELSE ! pwb_min + 2*pwb_fk_b < 0
! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008)
pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp )
ENDIF
ELSE ! Fox-Kemper not used.
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 / hbl(ji,jj) ) * pwb_ent(ji,jj) / &
& MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln )
pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
! added ajgn 23 July as temporay fix
ENDIF ! ln_osm_mle
!
ELSE ! l_conv - Stable
!
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)
IF ( pdhdt(ji,jj) < 0.0_wp ) THEN ! For long timsteps factor in brackets slows the rapid collapse of the OSBL
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)
ELSE
zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), av_db_bl(ji,jj) )
ENDIF
pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX( zpert, epsln )
pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp )
!
ENDIF ! l_conv
!
ELSE ! l_shear
!
IF ( l_conv(ji,jj) ) THEN ! Convective
!
IF ( ln_osm_mle ) THEN
IF ( hmle(ji,jj) > hbl(ji,jj) ) THEN ! Fox-Kemper buoyancy flux average over OSBL
pwb_fk_b(ji,jj) = pwb_fk(ji,jj) * &
( 1.0_wp + hmle(ji,jj) / ( 6.0_wp * hbl(ji,jj) ) * &
& ( -1.0_wp + ( 1.0_wp - 2.0_wp * hbl(ji,jj) / hmle(ji,jj))**3) )
ELSE
pwb_fk_b(ji,jj) = 0.5_wp * pwb_fk(ji,jj) * hmle(ji,jj) / hbl(ji,jj)
ENDIF
zvel_max = ( swstrl(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)
IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening,
! ! entrainment > restratification
IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN
pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
ELSE
pdhdt(ji,jj) = -1.0_wp * ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) / MAX( zvel_max, 1e-15_wp )
ENDIF
ELSE ! OSBL shoaling due to restratification flux. This is the velocity defined in Fox-Kemper et al (2008)
pdhdt(ji,jj) = -1.0_wp * MIN( pvel_mle(ji,jj), hbl(ji,jj) / 10800.0_wp )
ENDIF
ELSE ! Fox-Kemper not used
zvel_max = -1.0_wp * pwb_ent(ji,jj) / MAX( ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln )
pdhdt(ji,jj) = -1.0_wp * pwb_ent(ji,jj) / ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15_wp ) )
! added ajgn 23 July as temporay fix
ENDIF ! ln_osm_mle
!
ELSE ! Stable
!
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)
IF ( pdhdt(ji,jj) < 0.0_wp ) THEN
! For long timsteps factor in brackets slows the rapid collapse of the OSBL
zpert = 2.0_wp * svstr(ji,jj)**2 / hbl(ji,jj)
ELSE
zpert = MAX( svstr(ji,jj)**2 / hbl(ji,jj), av_db_bl(ji,jj) )
ENDIF
pdhdt(ji,jj) = 2.0_wp * pdhdt(ji,jj) / MAX(zpert, epsln)
pdhdt(ji,jj) = MAX( pdhdt(ji,jj), -1.0_wp * hbl(ji,jj) / 5400.0_wp )
!
ENDIF ! l_conv
!
ENDIF ! l_shear
!
END_2D
!
END SUBROUTINE zdf_osm_calculate_dhdt
SUBROUTINE zdf_osm_timestep_hbl( Kmm, pdhdt, phbl, phbl_t, pwb_ent, &
& pwb_fk_b )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_timestep_hbl ***
!!
!! ** Purpose : Increments hbl.
!!
!! ** Method : If the change in hbl exceeds one model level the change is
!! is calculated by moving down the grid, changing the
!! buoyancy jump. This is to ensure that the change in hbl
!! does not overshoot a stable layer.
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdhdt ! Rates of change of hbl
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl_t ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL
!!
INTEGER :: jk, jj, ji, jm
REAL(wp) :: zhbl_s, zvel_max, zdb
REAL(wp) :: zthermal, zbeta
!!----------------------------------------------------------------------
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
IF ( nbld(ji,jj) - nmld(ji,jj) > 1 ) THEN
!
! If boundary layer changes by more than one level, need to check for stable layers between initial and final depths.
!
zhbl_s = hbl(ji,jj)
jm = nmld(ji,jj)
zthermal = rab_n(ji,jj,1,jp_tem)
zbeta = rab_n(ji,jj,1,jp_sal)
!
IF ( l_conv(ji,jj) ) THEN ! Unstable
!
IF( ln_osm_mle ) THEN
zvel_max = ( swstrl(ji,jj)**3 + swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)
ELSE
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 / &
& hbl(ji,jj) ) * pwb_ent(ji,jj) / &
& ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird
ENDIF
DO jk = nmld(ji,jj), nbld(ji,jj)
zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - &
& zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + zvel_max
!
IF ( ln_osm_mle ) THEN
zhbl_s = zhbl_s + MIN( rn_Dt * ( ( -1.0_wp * pwb_ent(ji,jj) - 2.0_wp * pwb_fk_b(ji,jj) ) / zdb ) / &
& REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) )
ELSE
zhbl_s = zhbl_s + MIN( rn_Dt * ( -1.0_wp * pwb_ent(ji,jj) / zdb ) / &
& REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), e3w(ji,jj,jm,Kmm) )
ENDIF
! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol)
IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN
zhbl_s = MIN( zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1, Kmm ) - depth_tol )
l_pyc(ji,jj) = .FALSE.
ENDIF
IF ( zhbl_s >= gdepw(ji,jj,jm+1,Kmm) ) jm = jm + 1
END DO
hbl(ji,jj) = zhbl_s
nbld(ji,jj) = jm
ELSE ! Stable
DO jk = nmld(ji,jj), nbld(ji,jj)
zdb = MAX( grav * ( zthermal * ( av_t_bl(ji,jj) - ts(ji,jj,jm,jp_tem,Kmm) ) - &
& zbeta * ( av_s_bl(ji,jj) - ts(ji,jj,jm,jp_sal,Kmm) ) ), 0.0_wp ) + &
& 2.0_wp * svstr(ji,jj)**2 / zhbl_s
!
! Alan is thuis right? I have simply changed hbli to hbl
shol(ji,jj) = -1.0_wp * zhbl_s / ( ( svstr(ji,jj)**3 + epsln ) / swbav(ji,jj) )
pdhdt(ji,jj) = -1.0_wp * ( swbav(ji,jj) - 0.04_wp / 2.0_wp * swstrl(ji,jj)**3 / zhbl_s - &
& 0.15_wp / 2.0_wp * ( 1.0_wp - EXP( -1.5_wp * sla(ji,jj) ) ) * &
& sustar(ji,jj)**3 / zhbl_s ) * &
& ( 0.725_wp + 0.225_wp * EXP( -7.5_wp * shol(ji,jj) ) )
pdhdt(ji,jj) = pdhdt(ji,jj) + swbav(ji,jj)
zhbl_s = zhbl_s + MIN( pdhdt(ji,jj) / zdb * rn_Dt / REAL( nbld(ji,jj) - nmld(ji,jj), KIND=wp ), &
& e3w(ji,jj,jm,Kmm) )
! zhbl_s = MIN(zhbl_s, gdepw(ji,jj, mbkt(ji,jj) + 1,Kmm) - depth_tol)
IF ( zhbl_s >= gdepw(ji,jj,mbkt(ji,jj) + 1,Kmm) ) THEN
1669
1670
1671
1672
1673
1674
1675
1676
1677
1678
1679
1680
1681
1682
1683
1684
1685
1686
1687
1688
1689
1690
1691
1692
1693
1694
1695
1696
1697
1698
1699
1700
1701
1702
1703
1704
1705
1706
1707
1708
1709
1710
1711
1712
1713
zhbl_s = MIN( zhbl_s, gdepw(ji,jj,mbkt(ji,jj)+1,Kmm) - depth_tol )
l_pyc(ji,jj) = .FALSE.
ENDIF
IF ( zhbl_s >= gdepw(ji,jj,jm,Kmm) ) jm = jm + 1
END DO
ENDIF ! IF ( l_conv )
hbl(ji,jj) = MAX( zhbl_s, gdepw(ji,jj,4,Kmm) )
nbld(ji,jj) = MAX( jm, 4 )
ELSE
! change zero or one model level.
hbl(ji,jj) = MAX( phbl_t(ji,jj), gdepw(ji,jj,4,Kmm) )
ENDIF
phbl(ji,jj) = gdepw(ji,jj,nbld(ji,jj),Kmm)
END_2D
!
END SUBROUTINE zdf_osm_timestep_hbl
SUBROUTINE zdf_osm_pycnocline_thickness( Kmm, pdh, phml, pdhdt, phbl, &
& pwb_ent, pdbdz_bl_ext, pwb_fk_b )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_pycnocline_thickness ***
!!
!! ** Purpose : Calculates thickness of the pycnocline
!!
!! ** Method : The thickness is calculated from a prognostic equation
!! that relaxes the pycnocine thickness to a diagnostic
!! value. The time change is calculated assuming the
!! thickness relaxes exponentially. This is done to deal
!! with large timesteps.
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: pdh ! Pycnocline thickness
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(inout) :: phml ! ML depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! BL depth tendency
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_fk_b ! MLE buoyancy flux averaged over OSBL
!!
INTEGER :: jj, ji
INTEGER :: inhml
REAL(wp) :: zari, ztau, zdh_ref, zddhdt, zvel_max
REAL(wp) :: ztmp ! Auxiliary variable
!!
sparonuz
committed
REAL(wp), PARAMETER :: pp_ddh = 2.5_wp, pp_ddh_2 = 3.5_wp ! Also in pycnocline_depth
1715
1716
1717
1718
1719
1720
1721
1722
1723
1724
1725
1726
1727
1728
1729
1730
1731
1732
1733
1734
1735
1736
1737
1738
1739
1740
1741
1742
1743
1744
1745
1746
1747
1748
1749
1750
1751
1752
1753
1754
1755
1756
1757
1758
1759
1760
1761
1762
1763
1764
1765
1766
1767
1768
1769
1770
1771
1772
1773
1774
1775
1776
1777
1778
1779
1780
1781
1782
1783
1784
1785
1786
1787
1788
1789
1790
1791
1792
1793
1794
1795
1796
1797
1798
1799
1800
1801
1802
1803
1804
1805
1806
1807
1808
1809
1810
1811
1812
1813
1814
1815
1816
1817
1818
1819
1820
1821
1822
1823
1824
1825
1826
1827
1828
1829
1830
1831
1832
1833
1834
1835
1836
1837
1838
1839
1840
1841
1842
1843
1844
1845
1846
1847
1848
1849
1850
1851
1852
1853
1854
1855
1856
1857
1858
1859
1860
1861
1862
1863
1864
1865
1866
1867
1868
1869
1870
1871
1872
1873
1874
1875
1876
1877
1878
1879
1880
1881
1882
1883
1884
1885
1886
1887
1888
1889
1890
1891
1892
1893
1894
1895
1896
1897
1898
1899
1900
1901
1902
1903
1904
1905
1906
1907
1908
1909
1910
1911
1912
1913
1914
1915
1916
1917
1918
1919
1920
1921
1922
1923
1924
1925
1926
1927
1928
1929
1930
1931
1932
1933
1934
1935
1936
1937
1938
1939
1940
1941
1942
1943
1944
1945
1946
1947
1948
1949
1950
1951
1952
1953
1954
1955
1956
1957
1958
1959
1960
1961
1962
1963
1964
1965
1966
1967
1968
1969
1970
1971
1972
1973
1974
1975
1976
1977
1978
1979
1980
1981
1982
1983
1984
1985
1986
1987
1988
1989
1990
1991
1992
1993
1994
1995
1996
1997
1998
1999
2000
!!----------------------------------------------------------------------
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
!
IF ( l_shear(ji,jj) ) THEN
!
IF ( l_conv(ji,jj) ) THEN
!
IF ( av_db_bl(ji,jj) > 1e-15_wp ) THEN
IF ( n_ddh(ji,jj) == 0 ) THEN
zvel_max = ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**p2third / hbl(ji,jj)
! ddhdt for pycnocline determined in osm_calculate_dhdt
zddhdt = -1.0_wp * pp_ddh * ( 1.0_wp - 1.6_wp * pdh(ji,jj) / phbl(ji,jj) ) * pwb_ent(ji,jj) / &
& ( zvel_max + MAX( av_db_bl(ji,jj), 1e-15 ) )
zddhdt = EXP( -4.0_wp * ABS( ff_t(ji,jj) ) * phbl(ji,jj) / MAX( sustar(ji,jj), 1e-8 ) ) * zddhdt
! Maximum limit for how thick the shear layer can grow relative to the thickness of the boundary layer
dh(ji,jj) = MIN( dh(ji,jj) + zddhdt * rn_Dt, 0.625_wp * hbl(ji,jj) )
ELSE ! Need to recalculate because hbl has been updated
IF ( ( swstrc(ji,jj) / svstr(ji,jj) )**3 <= 0.5_wp ) THEN
ztmp = svstr(ji,jj)
ELSE
ztmp = swstrc(ji,jj)
END IF
zari = MIN( 1.5_wp * av_db_bl(ji,jj) / ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + &
& av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2, &
& 1e-12_wp ) ) ), 0.2_wp )
ztau = MAX( av_db_bl(ji,jj) * ( zari * hbl(ji,jj) ) / &
& ( pp_ddh_2 * MAX( -1.0_wp * pwb_ent(ji,jj), 1e-12_wp ) ), 2.0_wp * rn_Dt )
dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + &
& zari * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) )
IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zari * phbl(ji,jj)
END IF
ELSE
ztau = MAX( MAX( hbl(ji,jj) / ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird, epsln), 2.0_wp * rn_Dt )
dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + &
& 0.2_wp * phbl(ji,jj) * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) )
IF ( dh(ji,jj) > hbl(ji,jj) ) dh(ji,jj) = 0.2_wp * hbl(ji,jj)
END IF
!
ELSE ! l_conv
! Initially shear only for entraining OSBL. Stable code will be needed if extended to stable OSBL
ztau = hbl(ji,jj) / MAX(svstr(ji,jj), epsln)
IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here
! Boundary layer deepening
IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN
! Pycnocline thickness set by stratification - use same relationship as for neutral conditions
zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( av_db_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp, 0.2_wp )
zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj)
ELSE
zdh_ref = 0.2_wp * hbl(ji,jj)
ENDIF
ELSE ! IF(dhdt < 0)
zdh_ref = 0.2_wp * hbl(ji,jj)
ENDIF ! IF (dhdt >= 0)
dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) )
IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for
! ! rapid collapse
ENDIF
!
ELSE ! l_shear = .FALSE., calculate ddhdt here
!
IF ( l_conv(ji,jj) ) THEN
!
IF( ln_osm_mle ) THEN
IF ( ( pwb_ent(ji,jj) + 2.0_wp * pwb_fk_b(ji,jj) ) < 0.0_wp ) THEN ! OSBL is deepening. Note wb_fk_b is zero if
! ! ln_osm_mle=F
IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN
IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln) )**3 <= 0.5_wp ) THEN ! Near neutral stability
ztmp = svstr(ji,jj)
ELSE ! Unstable
ztmp = swstrc(ji,jj)
END IF
zari = MIN( 1.5_wp * av_db_bl(ji,jj) / &
& ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + &
& av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp )
ELSE
zari = 0.2_wp
END IF
ELSE
zari = 0.2_wp
END IF
ztau = 0.2_wp * hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird )
zdh_ref = zari * hbl(ji,jj)
ELSE ! ln_osm_mle
IF ( av_db_bl(ji,jj) > 0.0_wp .AND. pdbdz_bl_ext(ji,jj) > 0.0_wp ) THEN
IF ( ( swstrc(ji,jj) / MAX( svstr(ji,jj), epsln ) )**3 <= 0.5_wp ) THEN ! Near neutral stability
ztmp = svstr(ji,jj)
ELSE ! Unstable
ztmp = swstrc(ji,jj)
END IF
zari = MIN( 1.5_wp * av_db_bl(ji,jj) / &
& ( phbl(ji,jj) * ( MAX( pdbdz_bl_ext(ji,jj), 0.0_wp ) + &
& av_db_bl(ji,jj)**2 / MAX( 4.5_wp * ztmp**2 , 1e-12_wp ) ) ), 0.2_wp )
ELSE
zari = 0.2_wp
END IF
ztau = hbl(ji,jj) / MAX( epsln, ( svstr(ji,jj)**3 + 0.5_wp * swstrc(ji,jj)**3 )**pthird )
zdh_ref = zari * hbl(ji,jj)
END IF ! ln_osm_mle
dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) )
! IF ( pdhdt(ji,jj) < 0._wp .and. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref
IF ( dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref
! Alan: this hml is never defined or used
ELSE ! IF (l_conv)
!
ztau = hbl(ji,jj) / MAX( svstr(ji,jj), epsln )
IF ( pdhdt(ji,jj) >= 0.0_wp ) THEN ! Probably shouldn't include wm here
! Boundary layer deepening
IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN
! Pycnocline thickness set by stratification - use same relationship as for neutral conditions.
zari = MIN( 4.5_wp * ( svstr(ji,jj)**2 ) / MAX( av_db_bl(ji,jj) * phbl(ji,jj), epsln ) + 0.01_wp , 0.2_wp )
zdh_ref = MIN( zari, 0.2_wp ) * hbl(ji,jj)
ELSE
zdh_ref = 0.2_wp * hbl(ji,jj)
END IF
ELSE ! IF(dhdt < 0)
zdh_ref = 0.2_wp * hbl(ji,jj)
END IF ! IF (dhdt >= 0)
dh(ji,jj) = dh(ji,jj) * EXP( -1.0_wp * rn_Dt / ztau ) + zdh_ref * ( 1.0_wp - EXP( -1.0_wp * rn_Dt / ztau ) )
IF ( pdhdt(ji,jj) < 0.0_wp .AND. dh(ji,jj) >= hbl(ji,jj) ) dh(ji,jj) = zdh_ref ! Can be a problem with dh>hbl for
! ! rapid collapse
END IF ! IF (l_conv)
!
END IF ! l_shear
!
hml(ji,jj) = hbl(ji,jj) - dh(ji,jj)
inhml = MAX( INT( dh(ji,jj) / MAX( e3t(ji,jj,nbld(ji,jj)-1,Kmm), 1e-3_wp ) ), 1 )
nmld(ji,jj) = MAX( nbld(ji,jj) - inhml, 3 )
phml(ji,jj) = gdepw(ji,jj,nmld(ji,jj),Kmm)
pdh(ji,jj) = phbl(ji,jj) - phml(ji,jj)
!
END_2D
!
END SUBROUTINE zdf_osm_pycnocline_thickness
SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles( Kmm, kp_ext, pdbdz, palpha, pdh, &
& phbl, pdbdz_bl_ext, phml, pdhdt )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_pycnocline_buoyancy_profiles ***
!!
!! ** Purpose : calculate pycnocline buoyancy profiles
!!
!! ** Method :
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kmm ! Ocean time-level index
INTEGER, DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: kp_ext ! External-level offsets
REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT( out) :: pdbdz ! Gradients in the pycnocline
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT( out) :: palpha
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline thickness
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdbdz_bl_ext ! External buoyancy gradients
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! Rates of change of hbl
!!
INTEGER :: jk, jj, ji
REAL(wp) :: zbgrad
REAL(wp) :: zgamma_b_nd, znd
REAL(wp) :: zzeta_m
REAL(wp) :: ztmp ! Auxiliary variable
!!
REAL(wp), PARAMETER :: pp_gamma_b = 2.25_wp
REAL(wp), PARAMETER :: pp_large = -1e10_wp
!!----------------------------------------------------------------------
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
pdbdz(ji,jj,:) = pp_large
palpha(ji,jj) = pp_large
END_2D
!
DO_2D_OVR( nn_hls-1, nn_hls-1, nn_hls-1, nn_hls-1 )
!
IF ( nbld(ji,jj) + kp_ext(ji,jj) < mbkt(ji,jj) ) THEN
!
IF ( l_conv(ji,jj) ) THEN ! Convective conditions
!
IF ( l_pyc(ji,jj) ) THEN
!
zzeta_m = 0.1_wp + 0.3_wp / ( 1.0_wp + EXP( -3.5_wp * LOG10( -1.0_wp * shol(ji,jj) ) ) )
palpha(ji,jj) = 2.0_wp * ( 1.0_wp - ( 0.80_wp * zzeta_m + 0.5_wp * SQRT( 3.14159_wp / pp_gamma_b ) ) * &
& pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / av_db_ml(ji,jj) ) / &
& ( 0.723_wp + SQRT( 3.14159_wp / pp_gamma_b ) )
palpha(ji,jj) = MAX( palpha(ji,jj), 0.0_wp )
ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Commented lines in this section are not needed in new code, once tested !
! can be removed !
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! ztgrad = zalpha * av_dt_ml(ji,jj) * ztmp + zdtdz_bl_ext(ji,jj)
! zsgrad = zalpha * av_ds_ml(ji,jj) * ztmp + zdsdz_bl_ext(ji,jj)
zbgrad = palpha(ji,jj) * av_db_ml(ji,jj) * ztmp + pdbdz_bl_ext(ji,jj)
zgamma_b_nd = pdbdz_bl_ext(ji,jj) * pdh(ji,jj) / MAX( av_db_ml(ji,jj), epsln )
DO jk = 2, nbld(ji,jj)
znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phbl(ji,jj) ) * ztmp
IF ( znd <= zzeta_m ) THEN
! zdtdz(ji,jj,jk) = zdtdz_bl_ext(ji,jj) + zalpha * av_dt_ml(ji,jj) * ztmp * &
! & EXP( -6.0 * ( znd -zzeta_m )**2 )
! zdsdz(ji,jj,jk) = zdsdz_bl_ext(ji,jj) + zalpha * av_ds_ml(ji,jj) * ztmp * &
! & EXP( -6.0 * ( znd -zzeta_m )**2 )
pdbdz(ji,jj,jk) = pdbdz_bl_ext(ji,jj) + palpha(ji,jj) * av_db_ml(ji,jj) * ztmp * &
& EXP( -6.0_wp * ( znd -zzeta_m )**2 )
ELSE
! zdtdz(ji,jj,jk) = ztgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 )
! zdsdz(ji,jj,jk) = zsgrad * EXP( -pp_gamma_b * ( znd - zzeta_m )**2 )
pdbdz(ji,jj,jk) = zbgrad * EXP( -1.0_wp * pp_gamma_b * ( znd - zzeta_m )**2 )
END IF
END DO
END IF ! If no pycnocline pycnocline gradients set to zero
!
ELSE ! Stable conditions
! If pycnocline profile only defined when depth steady of increasing.
IF ( pdhdt(ji,jj) > 0.0_wp ) THEN ! Depth increasing, or steady.
IF ( av_db_bl(ji,jj) > 0.0_wp ) THEN
IF ( shol(ji,jj) >= 0.5_wp ) THEN ! Very stable - 'thick' pycnocline
ztmp = 1.0_wp / MAX( phbl(ji,jj), epsln )
zbgrad = av_db_bl(ji,jj) * ztmp
DO jk = 2, nbld(ji,jj)
znd = gdepw(ji,jj,jk,Kmm) * ztmp
pdbdz(ji,jj,jk) = zbgrad * EXP( -15.0_wp * ( znd - 0.9_wp )**2 )
END DO
ELSE ! Slightly stable - 'thin' pycnoline - needed when stable layer begins to form.
ztmp = 1.0_wp / MAX( pdh(ji,jj), epsln )
zbgrad = av_db_bl(ji,jj) * ztmp
DO jk = 2, nbld(ji,jj)
znd = -1.0_wp * ( gdepw(ji,jj,jk,Kmm) - phml(ji,jj) ) * ztmp
pdbdz(ji,jj,jk) = zbgrad * EXP( -1.75_wp * ( znd + 0.75_wp )**2 )
END DO
END IF ! IF (shol >=0.5)
END IF ! IF (av_db_bl> 0.)
END IF ! IF (pdhdt >= 0) pdhdt < 0 not considered since pycnocline profile is zero and profile arrays are
! ! intialized to zero
!
END IF ! IF (l_conv)
!
END IF ! IF ( nbld(ji,jj) < mbkt(ji,jj) )
!
END_2D
!
IF ( ln_dia_pyc_scl ) THEN ! Output of pycnocline gradient profiles
CALL zdf_osm_iomput( "zdbdz_pyc", wmask(A2D(0),:) * pdbdz(A2D(0),:) )
END IF
!
END SUBROUTINE zdf_osm_pycnocline_buoyancy_profiles
SUBROUTINE zdf_osm_diffusivity_viscosity( Kbb, Kmm, pdiffut, pviscos, phbl, &
& phml, pdh, pdhdt, pshear, &
& pwb_ent, pwb_min )
!!---------------------------------------------------------------------
!! *** ROUTINE zdf_osm_diffusivity_viscosity ***
!!
!! ** Purpose : Determines the eddy diffusivity and eddy viscosity
!! profiles in the mixed layer and the pycnocline.
!!
!! ** Method :
!!
!!----------------------------------------------------------------------
INTEGER, INTENT(in ) :: Kbb, Kmm ! Ocean time-level indices
REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(inout) :: pdiffut ! t-diffusivity
REAL(wp), DIMENSION(A2D(nn_hls-1),jpk), INTENT(inout) :: pviscos ! Viscosity
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phbl ! BL depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: phml ! ML depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdh ! Pycnocline depth
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pdhdt ! BL depth tendency
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pshear ! Shear production
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_ent ! Buoyancy entrainment flux
REAL(wp), DIMENSION(A2D(nn_hls-1)), INTENT(in ) :: pwb_min
!!
INTEGER :: ji, jj, jk ! Loop indices
!! Scales used to calculate eddy diffusivity and viscosity profiles
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdifml_sc, zvisml_sc
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zdifpyc_n_sc, zdifpyc_s_sc
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zvispyc_n_sc, zvispyc_s_sc
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zbeta_d_sc, zbeta_v_sc
REAL(wp), DIMENSION(A2D(nn_hls-1)) :: zb_coup, zc_coup_vis, zc_coup_dif
!!
REAL(wp) :: zvel_sc_pyc, zvel_sc_ml, zstab_fac, zz_b
REAL(wp) :: za_cubic, zb_d_cubic, zc_d_cubic, zd_d_cubic, & ! Coefficients in cubic polynomial specifying diffusivity
& zb_v_cubic, zc_v_cubic, zd_v_cubic ! and viscosity in pycnocline
REAL(wp) :: zznd_ml, zznd_pyc, ztmp
REAL(wp) :: zmsku, zmskv
!!
REAL(wp), PARAMETER :: pp_dif_ml = 0.8_wp, pp_vis_ml = 0.375_wp
REAL(wp), PARAMETER :: pp_dif_pyc = 0.15_wp, pp_vis_pyc = 0.142_wp
REAL(wp), PARAMETER :: pp_vispyc_shr = 0.15_wp
!!----------------------------------------------------------------------
!