| 1 | MODULE zdfmxl |
|---|
| 2 | !!====================================================================== |
|---|
| 3 | !! *** MODULE zdfmxl *** |
|---|
| 4 | !! Ocean physics: mixed layer depth |
|---|
| 5 | !!====================================================================== |
|---|
| 6 | !! History : 1.0 ! 2003-08 (G. Madec) original code |
|---|
| 7 | !! 3.2 ! 2009-07 (S. Masson, G. Madec) IOM + merge of DO-loop |
|---|
| 8 | !! 3.7 ! 2012-03 (G. Madec) make public the density criteria for trdmxl |
|---|
| 9 | !! - ! 2014-02 (F. Roquet) mixed layer depth calculated using N2 instead of rhop |
|---|
| 10 | !!---------------------------------------------------------------------- |
|---|
| 11 | !! zdf_mxl : Compute the turbocline and mixed layer depths. |
|---|
| 12 | !!---------------------------------------------------------------------- |
|---|
| 13 | USE oce ! ocean dynamics and tracers variables |
|---|
| 14 | USE dom_oce ! ocean space and time domain variables |
|---|
| 15 | USE trc_oce, ONLY: l_offline ! ocean space and time domain variables |
|---|
| 16 | USE zdf_oce ! ocean vertical physics |
|---|
| 17 | USE in_out_manager ! I/O manager |
|---|
| 18 | USE prtctl ! Print control |
|---|
| 19 | USE phycst ! physical constants |
|---|
| 20 | USE iom ! I/O library |
|---|
| 21 | USE eosbn2 ! for zdf_mxl_zint |
|---|
| 22 | USE lib_mpp ! MPP library |
|---|
| 23 | USE wrk_nemo ! work arrays |
|---|
| 24 | USE timing ! Timing |
|---|
| 25 | |
|---|
| 26 | IMPLICIT NONE |
|---|
| 27 | PRIVATE |
|---|
| 28 | |
|---|
| 29 | PUBLIC zdf_mxl_tref ! called by asminc.F90 |
|---|
| 30 | PUBLIC zdf_mxl ! called by step.F90 |
|---|
| 31 | |
|---|
| 32 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmld_tref !: mixed layer depth at t-points - temperature criterion [m] |
|---|
| 33 | INTEGER , PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: nmln !: number of level in the mixed layer (used by TOP) |
|---|
| 34 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmld !: mixing layer depth (turbocline) [m] |
|---|
| 35 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmlp !: mixed layer depth (rho=rho0+zdcrit) [m] |
|---|
| 36 | REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: hmlpt !: depth of the last T-point inside the mixed layer [m] |
|---|
| 37 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: hmld_zint !: vertically-interpolated mixed layer depth [m] |
|---|
| 38 | REAL(wp), PUBLIC, ALLOCATABLE, DIMENSION(:,:) :: htc_mld ! Heat content of hmld_zint |
|---|
| 39 | LOGICAL, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:) :: ll_found ! Is T_b to be found by interpolation ? |
|---|
| 40 | LOGICAL, PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:):: ll_belowml ! Flag points below mixed layer when ll_found=F |
|---|
| 41 | |
|---|
| 42 | REAL(wp), PUBLIC :: rho_c = 0.01_wp !: density criterion for mixed layer depth |
|---|
| 43 | REAL(wp) :: avt_c = 5.e-4_wp ! Kz criterion for the turbocline depth |
|---|
| 44 | |
|---|
| 45 | TYPE, PUBLIC :: MXL_ZINT !: Structure for MLD defs |
|---|
| 46 | INTEGER :: mld_type ! mixed layer type |
|---|
| 47 | REAL(wp) :: zref ! depth of initial T_ref |
|---|
| 48 | REAL(wp) :: dT_crit ! Critical temp diff |
|---|
| 49 | REAL(wp) :: iso_frac ! Fraction of rn_dT_crit used |
|---|
| 50 | END TYPE MXL_ZINT |
|---|
| 51 | |
|---|
| 52 | !Used for 25h mean |
|---|
| 53 | LOGICAL, PRIVATE :: mld_25h_init = .TRUE. !Logical used to initalise 25h |
|---|
| 54 | !outputs. Necessary, because we need to |
|---|
| 55 | !initalise the mld_25h on the zeroth |
|---|
| 56 | !timestep (i.e in the nemogcm_init call) |
|---|
| 57 | LOGICAL, PRIVATE :: mld_25h_write = .FALSE. !Logical confirm 25h calculating/processing |
|---|
| 58 | INTEGER, SAVE :: i_cnt_25h ! Counter for 25 hour means |
|---|
| 59 | REAL(wp),SAVE, ALLOCATABLE, DIMENSION(:,:,:) :: hmld_zint_25h |
|---|
| 60 | |
|---|
| 61 | !!---------------------------------------------------------------------- |
|---|
| 62 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
|---|
| 63 | !! $Id$ |
|---|
| 64 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
|---|
| 65 | !!---------------------------------------------------------------------- |
|---|
| 66 | CONTAINS |
|---|
| 67 | |
|---|
| 68 | INTEGER FUNCTION zdf_mxl_alloc() |
|---|
| 69 | !!---------------------------------------------------------------------- |
|---|
| 70 | !! *** FUNCTION zdf_mxl_alloc *** |
|---|
| 71 | !!---------------------------------------------------------------------- |
|---|
| 72 | zdf_mxl_alloc = 0 ! set to zero if no array to be allocated |
|---|
| 73 | IF( .NOT. ALLOCATED( nmln ) ) THEN |
|---|
| 74 | ALLOCATE( nmln(jpi,jpj), hmld(jpi,jpj), hmlp(jpi,jpj), hmlpt(jpi,jpj), hmld_zint(jpi,jpj), & |
|---|
| 75 | & htc_mld(jpi,jpj), & |
|---|
| 76 | & ll_found(jpi,jpj), ll_belowml(jpi,jpj,jpk), STAT= zdf_mxl_alloc ) |
|---|
| 77 | ! |
|---|
| 78 | ALLOCATE(hmld_tref(jpi,jpj)) |
|---|
| 79 | IF( lk_mpp ) CALL mpp_sum ( zdf_mxl_alloc ) |
|---|
| 80 | IF( zdf_mxl_alloc /= 0 ) CALL ctl_warn('zdf_mxl_alloc: failed to allocate arrays.') |
|---|
| 81 | ! |
|---|
| 82 | ENDIF |
|---|
| 83 | END FUNCTION zdf_mxl_alloc |
|---|
| 84 | |
|---|
| 85 | SUBROUTINE zdf_mxl_tref() |
|---|
| 86 | !!---------------------------------------------------------------------- |
|---|
| 87 | !! *** ROUTINE zdf_mxl_tref *** |
|---|
| 88 | !! |
|---|
| 89 | !! ** Purpose : Compute the mixed layer depth with temperature criteria. |
|---|
| 90 | !! |
|---|
| 91 | !! ** Method : The temperature-defined mixed layer depth is required |
|---|
| 92 | !! when assimilating SST in a 2D analysis. |
|---|
| 93 | !! |
|---|
| 94 | !! ** Action : hmld_tref |
|---|
| 95 | !!---------------------------------------------------------------------- |
|---|
| 96 | ! |
|---|
| 97 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 98 | REAL(wp) :: t_ref ! Reference temperature |
|---|
| 99 | REAL(wp) :: temp_c = 0.2 ! temperature criterion for mixed layer depth |
|---|
| 100 | !!---------------------------------------------------------------------- |
|---|
| 101 | ! |
|---|
| 102 | ! Initialise array |
|---|
| 103 | IF( zdf_mxl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_mxl_tref : unable to allocate arrays' ) |
|---|
| 104 | |
|---|
| 105 | DO jj = 1, jpj |
|---|
| 106 | DO ji = 1, jpi |
|---|
| 107 | hmld_tref(ji,jj)=gdept_n(ji,jj,1 ) |
|---|
| 108 | IF(ssmask(ji,jj) > 0.)THEN |
|---|
| 109 | t_ref=tsn(ji,jj,1,jp_tem) |
|---|
| 110 | DO jk=2,jpk |
|---|
| 111 | IF(ssmask(ji,jj)==0.)THEN |
|---|
| 112 | hmld_tref(ji,jj)=gdept_n(ji,jj,jk ) |
|---|
| 113 | EXIT |
|---|
| 114 | ELSEIF( ABS(tsn(ji,jj,jk,jp_tem)-t_ref) < temp_c)THEN |
|---|
| 115 | hmld_tref(ji,jj)=gdept_n(ji,jj,jk ) |
|---|
| 116 | ELSE |
|---|
| 117 | EXIT |
|---|
| 118 | ENDIF |
|---|
| 119 | ENDDO |
|---|
| 120 | ENDIF |
|---|
| 121 | ENDDO |
|---|
| 122 | ENDDO |
|---|
| 123 | |
|---|
| 124 | END SUBROUTINE zdf_mxl_tref |
|---|
| 125 | |
|---|
| 126 | SUBROUTINE zdf_mxl( kt ) |
|---|
| 127 | !!---------------------------------------------------------------------- |
|---|
| 128 | !! *** ROUTINE zdfmxl *** |
|---|
| 129 | !! |
|---|
| 130 | !! ** Purpose : Compute the turbocline depth and the mixed layer depth |
|---|
| 131 | !! with density criteria. |
|---|
| 132 | !! |
|---|
| 133 | !! ** Method : The mixed layer depth is the shallowest W depth with |
|---|
| 134 | !! the density of the corresponding T point (just bellow) bellow a |
|---|
| 135 | !! given value defined locally as rho(10m) + rho_c |
|---|
| 136 | !! The turbocline depth is the depth at which the vertical |
|---|
| 137 | !! eddy diffusivity coefficient (resulting from the vertical physics |
|---|
| 138 | !! alone, not the isopycnal part, see trazdf.F) fall below a given |
|---|
| 139 | !! value defined locally (avt_c here taken equal to 5 cm/s2 by default) |
|---|
| 140 | !! |
|---|
| 141 | !! ** Action : nmln, hmld, hmlp, hmlpt |
|---|
| 142 | !!---------------------------------------------------------------------- |
|---|
| 143 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 144 | ! |
|---|
| 145 | INTEGER :: ji, jj, jk ! dummy loop indices |
|---|
| 146 | INTEGER :: iikn, iiki, ikt ! local integer |
|---|
| 147 | REAL(wp) :: zN2_c ! local scalar |
|---|
| 148 | INTEGER, POINTER, DIMENSION(:,:) :: imld ! 2D workspace |
|---|
| 149 | !!---------------------------------------------------------------------- |
|---|
| 150 | ! |
|---|
| 151 | IF( nn_timing == 1 ) CALL timing_start('zdf_mxl') |
|---|
| 152 | ! |
|---|
| 153 | CALL wrk_alloc( jpi,jpj, imld ) |
|---|
| 154 | |
|---|
| 155 | IF( kt == nit000 ) THEN |
|---|
| 156 | IF(lwp) WRITE(numout,*) |
|---|
| 157 | IF(lwp) WRITE(numout,*) 'zdf_mxl : mixed layer depth' |
|---|
| 158 | IF(lwp) WRITE(numout,*) '~~~~~~~ ' |
|---|
| 159 | ! ! allocate zdfmxl arrays |
|---|
| 160 | IF( zdf_mxl_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_mxl : unable to allocate arrays' ) |
|---|
| 161 | ENDIF |
|---|
| 162 | |
|---|
| 163 | ! w-level of the mixing and mixed layers |
|---|
| 164 | nmln(:,:) = nlb10 ! Initialization to the number of w ocean point |
|---|
| 165 | hmlp(:,:) = 0._wp ! here hmlp used as a dummy variable, integrating vertically N^2 |
|---|
| 166 | zN2_c = grav * rho_c * r1_rau0 ! convert density criteria into N^2 criteria |
|---|
| 167 | DO jk = nlb10, jpkm1 |
|---|
| 168 | DO jj = 1, jpj ! Mixed layer level: w-level |
|---|
| 169 | DO ji = 1, jpi |
|---|
| 170 | ikt = mbkt(ji,jj) |
|---|
| 171 | hmlp(ji,jj) = hmlp(ji,jj) + MAX( rn2b(ji,jj,jk) , 0._wp ) * e3w_n(ji,jj,jk) |
|---|
| 172 | IF( hmlp(ji,jj) < zN2_c ) nmln(ji,jj) = MIN( jk , ikt ) + 1 ! Mixed layer level |
|---|
| 173 | END DO |
|---|
| 174 | END DO |
|---|
| 175 | END DO |
|---|
| 176 | ! |
|---|
| 177 | ! w-level of the turbocline and mixing layer (iom_use) |
|---|
| 178 | imld(:,:) = mbkt(:,:) + 1 ! Initialization to the number of w ocean point |
|---|
| 179 | DO jk = jpkm1, nlb10, -1 ! from the bottom to nlb10 |
|---|
| 180 | DO jj = 1, jpj |
|---|
| 181 | DO ji = 1, jpi |
|---|
| 182 | IF( avt (ji,jj,jk) < avt_c * wmask(ji,jj,jk) ) imld(ji,jj) = jk ! Turbocline |
|---|
| 183 | END DO |
|---|
| 184 | END DO |
|---|
| 185 | END DO |
|---|
| 186 | ! depth of the mixing and mixed layers |
|---|
| 187 | DO jj = 1, jpj |
|---|
| 188 | DO ji = 1, jpi |
|---|
| 189 | iiki = imld(ji,jj) |
|---|
| 190 | iikn = nmln(ji,jj) |
|---|
| 191 | hmld (ji,jj) = gdepw_n(ji,jj,iiki ) * ssmask(ji,jj) ! Turbocline depth |
|---|
| 192 | hmlp (ji,jj) = gdepw_n(ji,jj,iikn ) * ssmask(ji,jj) ! Mixed layer depth |
|---|
| 193 | hmlpt(ji,jj) = gdept_n(ji,jj,iikn-1) * ssmask(ji,jj) ! depth of the last T-point inside the mixed layer |
|---|
| 194 | END DO |
|---|
| 195 | END DO |
|---|
| 196 | ! |
|---|
| 197 | IF( .NOT.l_offline ) THEN |
|---|
| 198 | IF( iom_use("mldr10_1") ) THEN |
|---|
| 199 | IF( ln_isfcav ) THEN ; CALL iom_put( "mldr10_1", hmlp - risfdep) ! mixed layer thickness |
|---|
| 200 | ELSE ; CALL iom_put( "mldr10_1", hmlp ) ! mixed layer depth |
|---|
| 201 | END IF |
|---|
| 202 | END IF |
|---|
| 203 | IF( iom_use("mldkz5") ) THEN |
|---|
| 204 | IF( ln_isfcav ) THEN ; CALL iom_put( "mldkz5" , hmld - risfdep ) ! turbocline thickness |
|---|
| 205 | ELSE ; CALL iom_put( "mldkz5" , hmld ) ! turbocline depth |
|---|
| 206 | END IF |
|---|
| 207 | ENDIF |
|---|
| 208 | ENDIF |
|---|
| 209 | |
|---|
| 210 | ! Vertically-interpolated mixed-layer depth diagnostic |
|---|
| 211 | CALL zdf_mxl_zint( kt ) |
|---|
| 212 | |
|---|
| 213 | IF(ln_ctl) CALL prt_ctl( tab2d_1=REAL(nmln,wp), clinfo1=' nmln : ', tab2d_2=hmlp, clinfo2=' hmlp : ', ovlap=1 ) |
|---|
| 214 | ! |
|---|
| 215 | CALL wrk_dealloc( jpi,jpj, imld ) |
|---|
| 216 | ! |
|---|
| 217 | IF( nn_timing == 1 ) CALL timing_stop('zdf_mxl') |
|---|
| 218 | ! |
|---|
| 219 | END SUBROUTINE zdf_mxl |
|---|
| 220 | |
|---|
| 221 | SUBROUTINE zdf_mxl_zint_mld( sf ) |
|---|
| 222 | !!---------------------------------------------------------------------------------- |
|---|
| 223 | !! *** ROUTINE zdf_mxl_zint_mld *** |
|---|
| 224 | ! |
|---|
| 225 | ! Calculate vertically-interpolated mixed layer depth diagnostic. |
|---|
| 226 | ! |
|---|
| 227 | ! This routine can calculate the mixed layer depth diagnostic suggested by |
|---|
| 228 | ! Kara et al, 2000, JGR, 105, 16803, but is more general and can calculate |
|---|
| 229 | ! vertically-interpolated mixed-layer depth diagnostics with other parameter |
|---|
| 230 | ! settings set in the namzdf_mldzint namelist. |
|---|
| 231 | ! |
|---|
| 232 | ! If mld_type=1 the mixed layer depth is calculated as the depth at which the |
|---|
| 233 | ! density has increased by an amount equivalent to a temperature difference of |
|---|
| 234 | ! 0.8C at the surface. |
|---|
| 235 | ! |
|---|
| 236 | ! For other values of mld_type the mixed layer is calculated as the depth at |
|---|
| 237 | ! which the temperature differs by 0.8C from the surface temperature. |
|---|
| 238 | ! |
|---|
| 239 | ! David Acreman, Daley Calvert |
|---|
| 240 | ! |
|---|
| 241 | !!----------------------------------------------------------------------------------- |
|---|
| 242 | |
|---|
| 243 | TYPE(MXL_ZINT), INTENT(in) :: sf |
|---|
| 244 | |
|---|
| 245 | ! Diagnostic criteria |
|---|
| 246 | INTEGER :: nn_mld_type ! mixed layer type |
|---|
| 247 | REAL(wp) :: rn_zref ! depth of initial T_ref |
|---|
| 248 | REAL(wp) :: rn_dT_crit ! Critical temp diff |
|---|
| 249 | REAL(wp) :: rn_iso_frac ! Fraction of rn_dT_crit used |
|---|
| 250 | |
|---|
| 251 | ! Local variables |
|---|
| 252 | REAL(wp), PARAMETER :: zepsilon = 1.e-30 ! local small value |
|---|
| 253 | INTEGER, POINTER, DIMENSION(:,:) :: ik_ref ! index of reference level |
|---|
| 254 | INTEGER, POINTER, DIMENSION(:,:) :: ik_iso ! index of last uniform temp level |
|---|
| 255 | REAL, POINTER, DIMENSION(:,:,:) :: zT ! Temperature or density |
|---|
| 256 | REAL, POINTER, DIMENSION(:,:) :: ppzdep ! depth for use in calculating d(rho) |
|---|
| 257 | REAL, POINTER, DIMENSION(:,:) :: zT_ref ! reference temperature |
|---|
| 258 | REAL :: zT_b ! base temperature |
|---|
| 259 | REAL, POINTER, DIMENSION(:,:,:) :: zdTdz ! gradient of zT |
|---|
| 260 | REAL, POINTER, DIMENSION(:,:,:) :: zmoddT ! Absolute temperature difference |
|---|
| 261 | REAL :: zdz ! depth difference |
|---|
| 262 | REAL :: zdT ! temperature difference |
|---|
| 263 | REAL, POINTER, DIMENSION(:,:) :: zdelta_T ! difference critereon |
|---|
| 264 | REAL, POINTER, DIMENSION(:,:) :: zRHO1, zRHO2 ! Densities |
|---|
| 265 | INTEGER :: ji, jj, jk ! loop counter |
|---|
| 266 | |
|---|
| 267 | !!------------------------------------------------------------------------------------- |
|---|
| 268 | ! |
|---|
| 269 | CALL wrk_alloc( jpi, jpj, ik_ref, ik_iso) |
|---|
| 270 | CALL wrk_alloc( jpi, jpj, ppzdep, zT_ref, zdelta_T, zRHO1, zRHO2 ) |
|---|
| 271 | CALL wrk_alloc( jpi, jpj, jpk, zT, zdTdz, zmoddT ) |
|---|
| 272 | |
|---|
| 273 | ! Unpack structure |
|---|
| 274 | nn_mld_type = sf%mld_type |
|---|
| 275 | rn_zref = sf%zref |
|---|
| 276 | rn_dT_crit = sf%dT_crit |
|---|
| 277 | rn_iso_frac = sf%iso_frac |
|---|
| 278 | |
|---|
| 279 | ! Set the mixed layer depth criterion at each grid point |
|---|
| 280 | IF( nn_mld_type == 0 ) THEN |
|---|
| 281 | zdelta_T(:,:) = rn_dT_crit |
|---|
| 282 | zT(:,:,:) = rhop(:,:,:) |
|---|
| 283 | ELSE IF( nn_mld_type == 1 ) THEN |
|---|
| 284 | ppzdep(:,:)=0.0 |
|---|
| 285 | call eos ( tsn(:,:,1,:), ppzdep(:,:), zRHO1(:,:) ) |
|---|
| 286 | ! Use zT temporarily as a copy of tsn with rn_dT_crit added to SST |
|---|
| 287 | ! [assumes number of tracers less than number of vertical levels] |
|---|
| 288 | zT(:,:,1:jpts)=tsn(:,:,1,1:jpts) |
|---|
| 289 | zT(:,:,jp_tem)=zT(:,:,1)+rn_dT_crit |
|---|
| 290 | CALL eos( zT(:,:,1:jpts), ppzdep(:,:), zRHO2(:,:) ) |
|---|
| 291 | zdelta_T(:,:) = abs( zRHO1(:,:) - zRHO2(:,:) ) * rau0 |
|---|
| 292 | ! RHO from eos (2d version) doesn't calculate north or east halo: |
|---|
| 293 | CALL lbc_lnk( zdelta_T, 'T', 1. ) |
|---|
| 294 | zT(:,:,:) = rhop(:,:,:) |
|---|
| 295 | ELSE |
|---|
| 296 | zdelta_T(:,:) = rn_dT_crit |
|---|
| 297 | zT(:,:,:) = tsn(:,:,:,jp_tem) |
|---|
| 298 | END IF |
|---|
| 299 | |
|---|
| 300 | ! Calculate the gradient of zT and absolute difference for use later |
|---|
| 301 | DO jk = 1 ,jpk-2 |
|---|
| 302 | zdTdz(:,:,jk) = ( zT(:,:,jk+1) - zT(:,:,jk) ) / e3w_n(:,:,jk+1) |
|---|
| 303 | zmoddT(:,:,jk) = abs( zT(:,:,jk+1) - zT(:,:,jk) ) |
|---|
| 304 | END DO |
|---|
| 305 | |
|---|
| 306 | ! Find density/temperature at the reference level (Kara et al use 10m). |
|---|
| 307 | ! ik_ref is the index of the box centre immediately above or at the reference level |
|---|
| 308 | ! Find rn_zref in the array of model level depths and find the ref |
|---|
| 309 | ! density/temperature by linear interpolation. |
|---|
| 310 | DO jk = jpkm1, 2, -1 |
|---|
| 311 | WHERE ( gdept_n(:,:,jk) > rn_zref ) |
|---|
| 312 | ik_ref(:,:) = jk - 1 |
|---|
| 313 | zT_ref(:,:) = zT(:,:,jk-1) + zdTdz(:,:,jk-1) * ( rn_zref - gdept_n(:,:,jk-1) ) |
|---|
| 314 | END WHERE |
|---|
| 315 | END DO |
|---|
| 316 | |
|---|
| 317 | ! If the first grid box centre is below the reference level then use the |
|---|
| 318 | ! top model level to get zT_ref |
|---|
| 319 | WHERE ( gdept_n(:,:,1) > rn_zref ) |
|---|
| 320 | zT_ref = zT(:,:,1) |
|---|
| 321 | ik_ref = 1 |
|---|
| 322 | END WHERE |
|---|
| 323 | |
|---|
| 324 | ! Initialize / reset |
|---|
| 325 | ll_found(:,:) = .false. |
|---|
| 326 | |
|---|
| 327 | IF ( rn_iso_frac - zepsilon > 0. ) THEN |
|---|
| 328 | ! Search for a uniform density/temperature region where adjacent levels |
|---|
| 329 | ! differ by less than rn_iso_frac * deltaT. |
|---|
| 330 | ! ik_iso is the index of the last level in the uniform layer |
|---|
| 331 | ! ll_found indicates whether the mixed layer depth can be found by interpolation |
|---|
| 332 | ik_iso(:,:) = ik_ref(:,:) |
|---|
| 333 | DO jj = 1, nlcj |
|---|
| 334 | DO ji = 1, nlci |
|---|
| 335 | !CDIR NOVECTOR |
|---|
| 336 | DO jk = ik_ref(ji,jj), mbkt(ji,jj)-1 |
|---|
| 337 | IF ( zmoddT(ji,jj,jk) > ( rn_iso_frac * zdelta_T(ji,jj) ) ) THEN |
|---|
| 338 | ik_iso(ji,jj) = jk |
|---|
| 339 | ll_found(ji,jj) = ( zmoddT(ji,jj,jk) > zdelta_T(ji,jj) ) |
|---|
| 340 | EXIT |
|---|
| 341 | END IF |
|---|
| 342 | END DO |
|---|
| 343 | END DO |
|---|
| 344 | END DO |
|---|
| 345 | |
|---|
| 346 | ! Use linear interpolation to find depth of mixed layer base where possible |
|---|
| 347 | hmld_zint(:,:) = rn_zref |
|---|
| 348 | DO jj = 1, jpj |
|---|
| 349 | DO ji = 1, jpi |
|---|
| 350 | IF (ll_found(ji,jj) .and. tmask(ji,jj,1) == 1.0) THEN |
|---|
| 351 | zdz = abs( zdelta_T(ji,jj) / zdTdz(ji,jj,ik_iso(ji,jj)) ) |
|---|
| 352 | hmld_zint(ji,jj) = gdept_n(ji,jj,ik_iso(ji,jj)) + zdz |
|---|
| 353 | END IF |
|---|
| 354 | END DO |
|---|
| 355 | END DO |
|---|
| 356 | END IF |
|---|
| 357 | |
|---|
| 358 | ! If ll_found = .false. then calculate MLD using difference of zdelta_T |
|---|
| 359 | ! from the reference density/temperature |
|---|
| 360 | |
|---|
| 361 | ! Prevent this section from working on land points |
|---|
| 362 | WHERE ( tmask(:,:,1) /= 1.0 ) |
|---|
| 363 | ll_found = .true. |
|---|
| 364 | END WHERE |
|---|
| 365 | |
|---|
| 366 | DO jk=1, jpk |
|---|
| 367 | ll_belowml(:,:,jk) = abs( zT(:,:,jk) - zT_ref(:,:) ) >= zdelta_T(:,:) |
|---|
| 368 | END DO |
|---|
| 369 | |
|---|
| 370 | ! Set default value where interpolation cannot be used (ll_found=false) |
|---|
| 371 | DO jj = 1, jpj |
|---|
| 372 | DO ji = 1, jpi |
|---|
| 373 | IF ( .not. ll_found(ji,jj) ) hmld_zint(ji,jj) = gdept_n(ji,jj,mbkt(ji,jj)) |
|---|
| 374 | END DO |
|---|
| 375 | END DO |
|---|
| 376 | |
|---|
| 377 | DO jj = 1, jpj |
|---|
| 378 | DO ji = 1, jpi |
|---|
| 379 | !CDIR NOVECTOR |
|---|
| 380 | DO jk = ik_ref(ji,jj)+1, mbkt(ji,jj) |
|---|
| 381 | IF ( ll_found(ji,jj) ) EXIT |
|---|
| 382 | IF ( ll_belowml(ji,jj,jk) ) THEN |
|---|
| 383 | zT_b = zT_ref(ji,jj) + zdelta_T(ji,jj) * SIGN(1.0, zdTdz(ji,jj,jk-1) ) |
|---|
| 384 | zdT = zT_b - zT(ji,jj,jk-1) |
|---|
| 385 | zdz = zdT / zdTdz(ji,jj,jk-1) |
|---|
| 386 | hmld_zint(ji,jj) = gdept_n(ji,jj,jk-1) + zdz |
|---|
| 387 | EXIT |
|---|
| 388 | END IF |
|---|
| 389 | END DO |
|---|
| 390 | END DO |
|---|
| 391 | END DO |
|---|
| 392 | |
|---|
| 393 | hmld_zint(:,:) = hmld_zint(:,:)*tmask(:,:,1) |
|---|
| 394 | ! |
|---|
| 395 | CALL wrk_dealloc( jpi, jpj, ik_ref, ik_iso) |
|---|
| 396 | CALL wrk_dealloc( jpi, jpj, ppzdep, zT_ref, zdelta_T, zRHO1, zRHO2 ) |
|---|
| 397 | CALL wrk_dealloc( jpi,jpj, jpk, zT, zdTdz, zmoddT ) |
|---|
| 398 | ! |
|---|
| 399 | END SUBROUTINE zdf_mxl_zint_mld |
|---|
| 400 | |
|---|
| 401 | SUBROUTINE zdf_mxl_zint_htc( kt ) |
|---|
| 402 | !!---------------------------------------------------------------------- |
|---|
| 403 | !! *** ROUTINE zdf_mxl_zint_htc *** |
|---|
| 404 | !! |
|---|
| 405 | !! ** Purpose : |
|---|
| 406 | !! |
|---|
| 407 | !! ** Method : |
|---|
| 408 | !!---------------------------------------------------------------------- |
|---|
| 409 | |
|---|
| 410 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 411 | |
|---|
| 412 | INTEGER :: ji, jj, jk |
|---|
| 413 | INTEGER :: ikmax |
|---|
| 414 | REAL(wp) :: zc, zcoef |
|---|
| 415 | ! |
|---|
| 416 | INTEGER, ALLOCATABLE, DIMENSION(:,:) :: ilevel |
|---|
| 417 | REAL(wp), ALLOCATABLE, DIMENSION(:,:) :: zthick_0, zthick |
|---|
| 418 | |
|---|
| 419 | !!---------------------------------------------------------------------- |
|---|
| 420 | |
|---|
| 421 | IF( .NOT. ALLOCATED(ilevel) ) THEN |
|---|
| 422 | ALLOCATE( ilevel(jpi,jpj), zthick_0(jpi,jpj), & |
|---|
| 423 | & zthick(jpi,jpj), STAT=ji ) |
|---|
| 424 | IF( lk_mpp ) CALL mpp_sum(ji) |
|---|
| 425 | IF( ji /= 0 ) CALL ctl_stop( 'STOP', 'zdf_mxl_zint_htc : unable to allocate arrays' ) |
|---|
| 426 | ENDIF |
|---|
| 427 | |
|---|
| 428 | ! Find last whole model T level above the MLD |
|---|
| 429 | ilevel(:,:) = 0 |
|---|
| 430 | zthick_0(:,:) = 0._wp |
|---|
| 431 | |
|---|
| 432 | DO jk = 1, jpkm1 |
|---|
| 433 | DO jj = 1, jpj |
|---|
| 434 | DO ji = 1, jpi |
|---|
| 435 | zthick_0(ji,jj) = zthick_0(ji,jj) + e3t_n(ji,jj,jk) |
|---|
| 436 | IF( zthick_0(ji,jj) < hmld_zint(ji,jj) ) ilevel(ji,jj) = jk |
|---|
| 437 | END DO |
|---|
| 438 | END DO |
|---|
| 439 | WRITE(numout,*) 'zthick_0(jk =',jk,') =',zthick_0(2,2) |
|---|
| 440 | WRITE(numout,*) 'gdepw_n(jk+1 =',jk+1,') =',gdepw_n(2,2,jk+1) |
|---|
| 441 | END DO |
|---|
| 442 | |
|---|
| 443 | ! Surface boundary condition |
|---|
| 444 | IF(.NOT.ln_linssh) THEN ; zthick(:,:) = 0._wp ; htc_mld(:,:) = 0._wp |
|---|
| 445 | ELSE ; zthick(:,:) = sshn(:,:) ; htc_mld(:,:) = tsn(:,:,1,jp_tem) * sshn(:,:) * tmask(:,:,1) |
|---|
| 446 | ENDIF |
|---|
| 447 | |
|---|
| 448 | ! Deepest whole T level above the MLD |
|---|
| 449 | ikmax = MIN( MAXVAL( ilevel(:,:) ), jpkm1 ) |
|---|
| 450 | |
|---|
| 451 | ! Integration down to last whole model T level |
|---|
| 452 | DO jk = 1, ikmax |
|---|
| 453 | DO jj = 1, jpj |
|---|
| 454 | DO ji = 1, jpi |
|---|
| 455 | zc = e3t_n(ji,jj,jk) * REAL( MIN( MAX( 0, ilevel(ji,jj) - jk + 1 ) , 1 ) ) ! 0 below ilevel |
|---|
| 456 | zthick(ji,jj) = zthick(ji,jj) + zc |
|---|
| 457 | htc_mld(ji,jj) = htc_mld(ji,jj) + zc * tsn(ji,jj,jk,jp_tem) * tmask(ji,jj,jk) |
|---|
| 458 | END DO |
|---|
| 459 | END DO |
|---|
| 460 | END DO |
|---|
| 461 | |
|---|
| 462 | ! Subsequent partial T level |
|---|
| 463 | zthick(:,:) = hmld_zint(:,:) - zthick(:,:) ! remaining thickness to reach MLD |
|---|
| 464 | |
|---|
| 465 | DO jj = 1, jpj |
|---|
| 466 | DO ji = 1, jpi |
|---|
| 467 | htc_mld(ji,jj) = htc_mld(ji,jj) + tsn(ji,jj,ilevel(ji,jj)+1,jp_tem) & |
|---|
| 468 | & * MIN( e3t_n(ji,jj,ilevel(ji,jj)+1), zthick(ji,jj) ) * tmask(ji,jj,ilevel(ji,jj)+1) |
|---|
| 469 | END DO |
|---|
| 470 | END DO |
|---|
| 471 | |
|---|
| 472 | WRITE(numout,*) 'htc_mld(after) =',htc_mld(2,2) |
|---|
| 473 | |
|---|
| 474 | ! Convert to heat content |
|---|
| 475 | zcoef = rau0 * rcp |
|---|
| 476 | htc_mld(:,:) = zcoef * htc_mld(:,:) |
|---|
| 477 | |
|---|
| 478 | END SUBROUTINE zdf_mxl_zint_htc |
|---|
| 479 | |
|---|
| 480 | SUBROUTINE zdf_mxl_zint( kt ) |
|---|
| 481 | !!---------------------------------------------------------------------- |
|---|
| 482 | !! *** ROUTINE zdf_mxl_zint *** |
|---|
| 483 | !! |
|---|
| 484 | !! ** Purpose : |
|---|
| 485 | !! |
|---|
| 486 | !! ** Method : |
|---|
| 487 | !!---------------------------------------------------------------------- |
|---|
| 488 | |
|---|
| 489 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
|---|
| 490 | |
|---|
| 491 | INTEGER :: ios |
|---|
| 492 | INTEGER :: jn |
|---|
| 493 | |
|---|
| 494 | INTEGER :: nn_mld_diag = 0 ! number of diagnostics |
|---|
| 495 | |
|---|
| 496 | INTEGER :: i_steps ! no of timesteps per hour |
|---|
| 497 | INTEGER :: ierror ! logical error message |
|---|
| 498 | |
|---|
| 499 | REAL(wp) :: zdt ! timestep variable |
|---|
| 500 | |
|---|
| 501 | CHARACTER(len=1) :: cmld |
|---|
| 502 | |
|---|
| 503 | TYPE(MXL_ZINT) :: sn_mld1, sn_mld2, sn_mld3, sn_mld4, sn_mld5 |
|---|
| 504 | TYPE(MXL_ZINT), SAVE, DIMENSION(5) :: mld_diags |
|---|
| 505 | |
|---|
| 506 | NAMELIST/namzdf_mldzint/ nn_mld_diag, sn_mld1, sn_mld2, sn_mld3, sn_mld4, sn_mld5 |
|---|
| 507 | |
|---|
| 508 | !!---------------------------------------------------------------------- |
|---|
| 509 | |
|---|
| 510 | IF( kt == nit000 ) THEN |
|---|
| 511 | REWIND( numnam_ref ) ! Namelist namzdf_mldzint in reference namelist |
|---|
| 512 | READ ( numnam_ref, namzdf_mldzint, IOSTAT = ios, ERR = 901) |
|---|
| 513 | 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_mldzint in reference namelist', lwp ) |
|---|
| 514 | |
|---|
| 515 | REWIND( numnam_cfg ) ! Namelist namzdf_mldzint in configuration namelist |
|---|
| 516 | READ ( numnam_cfg, namzdf_mldzint, IOSTAT = ios, ERR = 902 ) |
|---|
| 517 | 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namzdf_mldzint in configuration namelist', lwp ) |
|---|
| 518 | IF(lwm) WRITE ( numond, namzdf_mldzint ) |
|---|
| 519 | |
|---|
| 520 | IF( nn_mld_diag > 5 ) CALL ctl_stop( 'STOP', 'zdf_mxl_ini: Specify no more than 5 MLD definitions' ) |
|---|
| 521 | |
|---|
| 522 | mld_diags(1) = sn_mld1 |
|---|
| 523 | mld_diags(2) = sn_mld2 |
|---|
| 524 | mld_diags(3) = sn_mld3 |
|---|
| 525 | mld_diags(4) = sn_mld4 |
|---|
| 526 | mld_diags(5) = sn_mld5 |
|---|
| 527 | |
|---|
| 528 | IF( nn_mld_diag > 0 ) THEN |
|---|
| 529 | WRITE(numout,*) '=============== Vertically-interpolated mixed layer ================' |
|---|
| 530 | WRITE(numout,*) '(Diagnostic number, nn_mld_type, rn_zref, rn_dT_crit, rn_iso_frac)' |
|---|
| 531 | DO jn = 1, nn_mld_diag |
|---|
| 532 | WRITE(numout,*) 'MLD criterion',jn,':' |
|---|
| 533 | WRITE(numout,*) ' nn_mld_type =', mld_diags(jn)%mld_type |
|---|
| 534 | WRITE(numout,*) ' rn_zref =' , mld_diags(jn)%zref |
|---|
| 535 | WRITE(numout,*) ' rn_dT_crit =' , mld_diags(jn)%dT_crit |
|---|
| 536 | WRITE(numout,*) ' rn_iso_frac =', mld_diags(jn)%iso_frac |
|---|
| 537 | END DO |
|---|
| 538 | WRITE(numout,*) '====================================================================' |
|---|
| 539 | ENDIF |
|---|
| 540 | ENDIF |
|---|
| 541 | |
|---|
| 542 | IF( nn_mld_diag > 0 ) THEN |
|---|
| 543 | DO jn = 1, nn_mld_diag |
|---|
| 544 | WRITE(cmld,'(I1)') jn |
|---|
| 545 | IF( iom_use( "mldzint_"//cmld ) .OR. iom_use( "mldhtc_"//cmld ) ) THEN |
|---|
| 546 | CALL zdf_mxl_zint_mld( mld_diags(jn) ) |
|---|
| 547 | |
|---|
| 548 | IF( iom_use( "mldzint_"//cmld ) ) THEN |
|---|
| 549 | CALL iom_put( "mldzint_"//cmld, hmld_zint(:,:) ) |
|---|
| 550 | ENDIF |
|---|
| 551 | |
|---|
| 552 | IF( iom_use( "mldhtc_"//cmld ) ) THEN |
|---|
| 553 | CALL zdf_mxl_zint_htc( kt ) |
|---|
| 554 | CALL iom_put( "mldhtc_"//cmld , htc_mld(:,:) ) |
|---|
| 555 | ENDIF |
|---|
| 556 | |
|---|
| 557 | IF( iom_use( "mldzint25h_"//cmld ) ) THEN |
|---|
| 558 | IF( .NOT. mld_25h_write ) mld_25h_write = .TRUE. |
|---|
| 559 | zdt = rdt |
|---|
| 560 | IF( MOD( 3600,INT(zdt) ) == 0 ) THEN |
|---|
| 561 | i_steps = 3600/INT(zdt) |
|---|
| 562 | ELSE |
|---|
| 563 | CALL ctl_stop('STOP', 'zdf_mxl_zint 25h: timestep must give MOD(3600,rdt) = 0 otherwise no hourly values are possible') |
|---|
| 564 | ENDIF |
|---|
| 565 | IF( ( mld_25h_init ) .OR. ( kt == nit000 ) ) THEN |
|---|
| 566 | i_cnt_25h = 1 |
|---|
| 567 | IF( .NOT. ALLOCATED(hmld_zint_25h) ) THEN |
|---|
| 568 | ALLOCATE( hmld_zint_25h(jpi,jpj,nn_mld_diag), STAT=ierror ) |
|---|
| 569 | IF( ierror > 0 ) CALL ctl_stop( 'zdf_mxl_zint 25h: unable to allocate hmld_zint_25h' ) |
|---|
| 570 | ENDIF |
|---|
| 571 | hmld_zint_25h(:,:,jn) = hmld_zint(:,:) |
|---|
| 572 | ENDIF |
|---|
| 573 | IF( MOD( kt, i_steps ) == 0 .AND. kt .NE. nn_it000 ) THEN |
|---|
| 574 | hmld_zint_25h(:,:,jn) = hmld_zint_25h(:,:,jn) + hmld_zint(:,:) |
|---|
| 575 | ENDIF |
|---|
| 576 | IF( i_cnt_25h .EQ. 25 .AND. MOD( kt, i_steps*24) == 0 .AND. kt .NE. nn_it000 ) THEN |
|---|
| 577 | CALL iom_put( "mldzint25h_"//cmld , hmld_zint_25h(:,:,jn) / 25._wp ) |
|---|
| 578 | ENDIF |
|---|
| 579 | ENDIF |
|---|
| 580 | |
|---|
| 581 | ENDIF |
|---|
| 582 | END DO |
|---|
| 583 | |
|---|
| 584 | IF( mld_25h_write ) THEN |
|---|
| 585 | IF( ( MOD( kt, i_steps ) == 0 ) .OR. mld_25h_init ) THEN |
|---|
| 586 | IF (lwp) THEN |
|---|
| 587 | WRITE(numout,*) 'zdf_mxl_zint (25h) : Summed the following number of hourly values so far',i_cnt_25h |
|---|
| 588 | ENDIF |
|---|
| 589 | i_cnt_25h = i_cnt_25h + 1 |
|---|
| 590 | IF( mld_25h_init ) mld_25h_init = .FALSE. |
|---|
| 591 | ENDIF |
|---|
| 592 | IF( i_cnt_25h .EQ. 25 .AND. MOD( kt, i_steps*24) == 0 .AND. kt .NE. nn_it000 ) THEN |
|---|
| 593 | i_cnt_25h = 1 |
|---|
| 594 | DO jn = 1, nn_mld_diag |
|---|
| 595 | hmld_zint_25h(:,:,jn) = hmld_zint(:,:) |
|---|
| 596 | ENDDO |
|---|
| 597 | ENDIF |
|---|
| 598 | ENDIF |
|---|
| 599 | |
|---|
| 600 | ENDIF |
|---|
| 601 | |
|---|
| 602 | END SUBROUTINE zdf_mxl_zint |
|---|
| 603 | |
|---|
| 604 | !!====================================================================== |
|---|
| 605 | END MODULE zdfmxl |
|---|
