[3] | 1 | MODULE zdfddm |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE zdfddm *** |
---|
| 4 | !! Ocean physics : double diffusion mixing parameterization |
---|
| 5 | !!====================================================================== |
---|
[1601] | 6 | !! History : OPA ! 2000-08 (G. Madec) double diffusive mixing |
---|
| 7 | !! NEMO 1.0 ! 2002-06 (G. Madec) F90: Free form and module |
---|
[2528] | 8 | !! 3.3 ! 2010-10 (C. Ethe, G. Madec) reorganisation of initialisation phase |
---|
[1601] | 9 | !!---------------------------------------------------------------------- |
---|
[3] | 10 | #if defined key_zdfddm || defined key_esopa |
---|
| 11 | !!---------------------------------------------------------------------- |
---|
| 12 | !! 'key_zdfddm' : double diffusion |
---|
| 13 | !!---------------------------------------------------------------------- |
---|
| 14 | !! zdf_ddm : compute the Ks for salinity |
---|
| 15 | !! zdf_ddm_init : read namelist and control the parameters |
---|
| 16 | !!---------------------------------------------------------------------- |
---|
| 17 | USE oce ! ocean dynamics and tracers variables |
---|
| 18 | USE dom_oce ! ocean space and time domain variables |
---|
| 19 | USE zdf_oce ! ocean vertical physics variables |
---|
| 20 | USE in_out_manager ! I/O manager |
---|
| 21 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[258] | 22 | USE prtctl ! Print control |
---|
[2715] | 23 | USE lib_mpp ! MPP library |
---|
[3] | 24 | |
---|
| 25 | IMPLICIT NONE |
---|
| 26 | PRIVATE |
---|
| 27 | |
---|
[2528] | 28 | PUBLIC zdf_ddm ! called by step.F90 |
---|
| 29 | PUBLIC zdf_ddm_init ! called by opa.F90 |
---|
[2715] | 30 | PUBLIC zdf_ddm_alloc ! called by nemogcm.F90 |
---|
[3] | 31 | |
---|
[1537] | 32 | LOGICAL , PUBLIC, PARAMETER :: lk_zdfddm = .TRUE. !: double diffusive mixing flag |
---|
[3] | 33 | |
---|
[2715] | 34 | REAL(wp), PUBLIC, SAVE, ALLOCATABLE, DIMENSION(:,:,:) :: avs !: salinity vertical diffusivity coeff. at w-point |
---|
| 35 | REAL(wp), PUBLIC, SAVE, ALLOCATABLE, DIMENSION(:,:,:) :: rrau !: heat/salt buoyancy flux ratio |
---|
[3] | 36 | |
---|
[1601] | 37 | ! !!* Namelist namzdf_ddm : double diffusive mixing * |
---|
[1537] | 38 | REAL(wp) :: rn_avts = 1.e-4_wp ! maximum value of avs for salt fingering |
---|
| 39 | REAL(wp) :: rn_hsbfr = 1.6_wp ! heat/salt buoyancy flux ratio |
---|
| 40 | |
---|
[3211] | 41 | !! * Control permutation of array indices |
---|
| 42 | # include "zdfddm_ftrans.h90" |
---|
| 43 | # include "oce_ftrans.h90" |
---|
| 44 | # include "dom_oce_ftrans.h90" |
---|
| 45 | # include "zdf_oce_ftrans.h90" |
---|
| 46 | |
---|
[3] | 47 | !! * Substitutions |
---|
| 48 | # include "vectopt_loop_substitute.h90" |
---|
| 49 | !!---------------------------------------------------------------------- |
---|
[2715] | 50 | !! NEMO/OPA 4.0 , NEMO Consortium (2011) |
---|
[2528] | 51 | !! $Id$ |
---|
[2715] | 52 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 53 | !!---------------------------------------------------------------------- |
---|
| 54 | CONTAINS |
---|
| 55 | |
---|
[2715] | 56 | INTEGER FUNCTION zdf_ddm_alloc() |
---|
| 57 | !!---------------------------------------------------------------------- |
---|
| 58 | !! *** ROUTINE zdf_ddm_alloc *** |
---|
| 59 | !!---------------------------------------------------------------------- |
---|
| 60 | ALLOCATE( avs(jpi,jpj,jpk), rrau(jpi,jpj,jpk), STAT= zdf_ddm_alloc ) |
---|
| 61 | ! |
---|
| 62 | IF( lk_mpp ) CALL mpp_sum ( zdf_ddm_alloc ) |
---|
| 63 | IF( zdf_ddm_alloc /= 0 ) CALL ctl_warn('zdf_ddm_alloc: failed to allocate arrays') |
---|
| 64 | END FUNCTION zdf_ddm_alloc |
---|
| 65 | |
---|
| 66 | |
---|
[3] | 67 | SUBROUTINE zdf_ddm( kt ) |
---|
| 68 | !!---------------------------------------------------------------------- |
---|
| 69 | !! *** ROUTINE zdf_ddm *** |
---|
| 70 | !! |
---|
| 71 | !! ** Purpose : Add to the vertical eddy diffusivity coefficient the |
---|
[1601] | 72 | !! effect of salt fingering and diffusive convection. |
---|
[3] | 73 | !! |
---|
| 74 | !! ** Method : Diapycnal mixing is increased in case of double |
---|
| 75 | !! diffusive mixing (i.e. salt fingering and diffusive layering) |
---|
| 76 | !! following Merryfield et al. (1999). The rate of double diffusive |
---|
| 77 | !! mixing depend on the buoyancy ratio: Rrau=alpha/beta dk[T]/dk[S] |
---|
| 78 | !! which is computed in rn2.F |
---|
| 79 | !! * salt fingering (Schmitt 1981): |
---|
[1537] | 80 | !! for Rrau > 1 and rn2 > 0 : zavfs = rn_avts / ( 1 + (Rrau/rn_hsbfr)^6 ) |
---|
[3] | 81 | !! for Rrau > 1 and rn2 > 0 : zavfs = O |
---|
| 82 | !! otherwise : zavft = 0.7 zavs / Rrau |
---|
| 83 | !! * diffusive layering (Federov 1988): |
---|
| 84 | !! for 0< Rrau < 1 and rn2 > 0 : zavdt = 1.3635e-6 |
---|
| 85 | !! * exp( 4.6 exp(-0.54 (1/Rrau-1) ) ) |
---|
| 86 | !! otherwise : zavdt = 0 |
---|
| 87 | !! for .5 < Rrau < 1 and rn2 > 0 : zavds = zavdt (1.885 Rrau -0.85) |
---|
| 88 | !! for 0 < Rrau <.5 and rn2 > 0 : zavds = zavdt 0.15 Rrau |
---|
| 89 | !! otherwise : zavds = 0 |
---|
| 90 | !! * update the eddy diffusivity: |
---|
| 91 | !! avt = avt + zavft + zavdt |
---|
| 92 | !! avs = avs + zavfs + zavds |
---|
| 93 | !! avmu, avmv are required to remain at least above avt and avs. |
---|
| 94 | !! |
---|
[1601] | 95 | !! ** Action : avt, avs : updated vertical eddy diffusivity coef. for T & S |
---|
[3] | 96 | !! |
---|
[1601] | 97 | !! References : Merryfield et al., JPO, 29, 1124-1142, 1999. |
---|
[3] | 98 | !!---------------------------------------------------------------------- |
---|
[2715] | 99 | USE wrk_nemo, ONLY: wrk_in_use, wrk_not_released |
---|
| 100 | USE wrk_nemo, ONLY: zmsks => wrk_2d_1 , zmskf => wrk_2d_2 , zmskd1 => wrk_2d_3 ! 2D workspace |
---|
| 101 | USE wrk_nemo, ONLY: zmskd2 => wrk_2d_4 , zmskd3 => wrk_2d_5 ! - - |
---|
| 102 | ! |
---|
[1601] | 103 | INTEGER, INTENT(in) :: kt ! ocean time-step indexocean time step |
---|
[2715] | 104 | ! |
---|
[1601] | 105 | INTEGER :: ji, jj , jk ! dummy loop indices |
---|
| 106 | REAL(wp) :: zinr, zrr ! temporary scalars |
---|
| 107 | REAL(wp) :: zavft, zavfs ! - - |
---|
| 108 | REAL(wp) :: zavdt, zavds ! - - |
---|
[3] | 109 | !!---------------------------------------------------------------------- |
---|
| 110 | |
---|
[2715] | 111 | IF( wrk_in_use(2, 1,2,3,4,5) ) THEN |
---|
| 112 | CALL ctl_stop('zdf_ddm: Requested workspace arrays already in use') ; RETURN |
---|
| 113 | ENDIF |
---|
| 114 | |
---|
[3] | 115 | ! ! =============== |
---|
| 116 | DO jk = 2, jpkm1 ! Horizontal slab |
---|
| 117 | ! ! =============== |
---|
| 118 | ! Define the mask |
---|
| 119 | ! --------------- |
---|
[1601] | 120 | rrau(:,:,jk) = MAX( 1.e-20, rrau(:,:,jk) ) ! only retains positive value of rrau |
---|
[3] | 121 | |
---|
[1601] | 122 | DO jj = 1, jpj ! indicators: |
---|
[3] | 123 | DO ji = 1, jpi |
---|
| 124 | ! stability indicator: msks=1 if rn2>0; 0 elsewhere |
---|
[2715] | 125 | IF( rn2(ji,jj,jk) + 1.e-12 <= 0. ) THEN ; zmsks(ji,jj) = 0._wp |
---|
| 126 | ELSE ; zmsks(ji,jj) = 1._wp |
---|
[3] | 127 | ENDIF |
---|
| 128 | ! salt fingering indicator: msksf=1 if rrau>1; 0 elsewhere |
---|
[2715] | 129 | IF( rrau(ji,jj,jk) <= 1. ) THEN ; zmskf(ji,jj) = 0._wp |
---|
| 130 | ELSE ; zmskf(ji,jj) = 1._wp |
---|
[3] | 131 | ENDIF |
---|
| 132 | ! diffusive layering indicators: |
---|
[2528] | 133 | ! ! mskdl1=1 if 0<rrau<1; 0 elsewhere |
---|
[2715] | 134 | IF( rrau(ji,jj,jk) >= 1. ) THEN ; zmskd1(ji,jj) = 0._wp |
---|
| 135 | ELSE ; zmskd1(ji,jj) = 1._wp |
---|
[3] | 136 | ENDIF |
---|
[2528] | 137 | ! ! mskdl2=1 if 0<rrau<0.5; 0 elsewhere |
---|
[2715] | 138 | IF( rrau(ji,jj,jk) >= 0.5 ) THEN ; zmskd2(ji,jj) = 0._wp |
---|
| 139 | ELSE ; zmskd2(ji,jj) = 1._wp |
---|
[3] | 140 | ENDIF |
---|
| 141 | ! mskdl3=1 if 0.5<rrau<1; 0 elsewhere |
---|
[2715] | 142 | IF( rrau(ji,jj,jk) <= 0.5 .OR. rrau(ji,jj,jk) >= 1. ) THEN ; zmskd3(ji,jj) = 0._wp |
---|
| 143 | ELSE ; zmskd3(ji,jj) = 1._wp |
---|
[3] | 144 | ENDIF |
---|
| 145 | END DO |
---|
| 146 | END DO |
---|
| 147 | ! mask zmsk in order to have avt and avs masked |
---|
| 148 | zmsks(:,:) = zmsks(:,:) * tmask(:,:,jk) |
---|
| 149 | |
---|
| 150 | |
---|
| 151 | ! Update avt and avs |
---|
| 152 | ! ------------------ |
---|
| 153 | ! Constant eddy coefficient: reset to the background value |
---|
| 154 | !CDIR NOVERRCHK |
---|
| 155 | DO jj = 1, jpj |
---|
| 156 | !CDIR NOVERRCHK |
---|
| 157 | DO ji = 1, jpi |
---|
| 158 | zinr = 1./rrau(ji,jj,jk) |
---|
| 159 | ! salt fingering |
---|
[1537] | 160 | zrr = rrau(ji,jj,jk)/rn_hsbfr |
---|
[3] | 161 | zrr = zrr * zrr |
---|
[1601] | 162 | zavfs = rn_avts / ( 1 + zrr*zrr*zrr ) * zmsks(ji,jj) * zmskf(ji,jj) |
---|
[1163] | 163 | zavft = 0.7 * zavfs * zinr |
---|
[3] | 164 | ! diffusive layering |
---|
[1601] | 165 | zavdt = 1.3635e-6 * EXP( 4.6 * EXP( -0.54*(zinr-1.) ) ) * zmsks(ji,jj) * zmskd1(ji,jj) |
---|
| 166 | zavds = zavdt * zmsks(ji,jj) * ( (1.85 * rrau(ji,jj,jk) - 0.85 ) * zmskd3(ji,jj) & |
---|
| 167 | & + 0.15 * rrau(ji,jj,jk) * zmskd2(ji,jj) ) |
---|
[3] | 168 | ! add to the eddy viscosity coef. previously computed |
---|
| 169 | avs (ji,jj,jk) = avt(ji,jj,jk) + zavfs + zavds |
---|
| 170 | avt (ji,jj,jk) = avt(ji,jj,jk) + zavft + zavdt |
---|
[1527] | 171 | avm (ji,jj,jk) = avm(ji,jj,jk) + MAX( zavft + zavdt, zavfs + zavds ) |
---|
[3] | 172 | END DO |
---|
| 173 | END DO |
---|
| 174 | |
---|
| 175 | |
---|
| 176 | ! Increase avmu, avmv if necessary |
---|
| 177 | ! -------------------------------- |
---|
[1527] | 178 | !!gm to be changed following the definition of avm. |
---|
[3] | 179 | DO jj = 1, jpjm1 |
---|
| 180 | DO ji = 1, fs_jpim1 ! vector opt. |
---|
| 181 | avmu(ji,jj,jk) = MAX( avmu(ji,jj,jk), & |
---|
[1601] | 182 | & avt(ji,jj,jk), avt(ji+1,jj,jk), & |
---|
| 183 | & avs(ji,jj,jk), avs(ji+1,jj,jk) ) * umask(ji,jj,jk) |
---|
[3] | 184 | avmv(ji,jj,jk) = MAX( avmv(ji,jj,jk), & |
---|
[1601] | 185 | & avt(ji,jj,jk), avt(ji,jj+1,jk), & |
---|
| 186 | & avs(ji,jj,jk), avs(ji,jj+1,jk) ) * vmask(ji,jj,jk) |
---|
[3] | 187 | END DO |
---|
| 188 | END DO |
---|
| 189 | ! ! =============== |
---|
| 190 | END DO ! End of slab |
---|
| 191 | ! ! =============== |
---|
[1601] | 192 | ! |
---|
[2715] | 193 | CALL lbc_lnk( avt , 'W', 1._wp ) ! Lateral boundary conditions (unchanged sign) |
---|
| 194 | CALL lbc_lnk( avs , 'W', 1._wp ) |
---|
| 195 | CALL lbc_lnk( avm , 'W', 1._wp ) |
---|
| 196 | CALL lbc_lnk( avmu, 'U', 1._wp ) |
---|
| 197 | CALL lbc_lnk( avmv, 'V', 1._wp ) |
---|
[49] | 198 | |
---|
[258] | 199 | IF(ln_ctl) THEN |
---|
| 200 | CALL prt_ctl(tab3d_1=avt , clinfo1=' ddm - t: ', tab3d_2=avs , clinfo2=' s: ', ovlap=1, kdim=jpk) |
---|
[516] | 201 | CALL prt_ctl(tab3d_1=avmu, clinfo1=' ddm - u: ', mask1=umask, & |
---|
| 202 | & tab3d_2=avmv, clinfo2= ' v: ', mask2=vmask, ovlap=1, kdim=jpk) |
---|
[49] | 203 | ENDIF |
---|
[1601] | 204 | ! |
---|
[2715] | 205 | IF( wrk_not_released(2, 1,2,3,4,5) ) CALL ctl_stop('zdf_ddm: Release of workspace arrays failed') |
---|
| 206 | ! |
---|
[3] | 207 | END SUBROUTINE zdf_ddm |
---|
| 208 | |
---|
| 209 | |
---|
| 210 | SUBROUTINE zdf_ddm_init |
---|
| 211 | !!---------------------------------------------------------------------- |
---|
| 212 | !! *** ROUTINE zdf_ddm_init *** |
---|
| 213 | !! |
---|
| 214 | !! ** Purpose : Initialization of double diffusion mixing scheme |
---|
| 215 | !! |
---|
[1601] | 216 | !! ** Method : Read the namzdf_ddm namelist and check the parameter values |
---|
[1537] | 217 | !! called by zdf_ddm at the first timestep (nit000) |
---|
[3] | 218 | !!---------------------------------------------------------------------- |
---|
[1601] | 219 | NAMELIST/namzdf_ddm/ rn_avts, rn_hsbfr |
---|
[3] | 220 | !!---------------------------------------------------------------------- |
---|
[1537] | 221 | ! |
---|
[2715] | 222 | REWIND( numnam ) ! Read Namelist namzdf_ddm : double diffusion mixing scheme |
---|
| 223 | READ ( numnam, namzdf_ddm ) |
---|
[1537] | 224 | ! |
---|
| 225 | IF(lwp) THEN ! Parameter print |
---|
[3] | 226 | WRITE(numout,*) |
---|
| 227 | WRITE(numout,*) 'zdf_ddm : double diffusive mixing' |
---|
| 228 | WRITE(numout,*) '~~~~~~~' |
---|
[1601] | 229 | WRITE(numout,*) ' Namelist namzdf_ddm : set dd mixing parameter' |
---|
[1537] | 230 | WRITE(numout,*) ' maximum avs for dd mixing rn_avts = ', rn_avts |
---|
| 231 | WRITE(numout,*) ' heat/salt buoyancy flux ratio rn_hsbfr = ', rn_hsbfr |
---|
[3] | 232 | ENDIF |
---|
[1537] | 233 | ! |
---|
[2715] | 234 | ! ! allocate zdfddm arrays |
---|
| 235 | IF( zdf_ddm_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'zdf_ddm_init : unable to allocate arrays' ) |
---|
| 236 | ! |
---|
[3837] | 237 | ! Initialise new array |
---|
| 238 | avs(:,:,:) = 0.0_wp |
---|
| 239 | |
---|
[3] | 240 | END SUBROUTINE zdf_ddm_init |
---|
| 241 | |
---|
| 242 | #else |
---|
| 243 | !!---------------------------------------------------------------------- |
---|
| 244 | !! Default option : Dummy module No double diffusion |
---|
| 245 | !!---------------------------------------------------------------------- |
---|
[16] | 246 | LOGICAL, PUBLIC, PARAMETER :: lk_zdfddm = .FALSE. !: double diffusion flag |
---|
[3] | 247 | CONTAINS |
---|
| 248 | SUBROUTINE zdf_ddm( kt ) ! Dummy routine |
---|
[16] | 249 | WRITE(*,*) 'zdf_ddm: You should not have seen this print! error?', kt |
---|
[3] | 250 | END SUBROUTINE zdf_ddm |
---|
[2528] | 251 | SUBROUTINE zdf_ddm_init ! Dummy routine |
---|
| 252 | END SUBROUTINE zdf_ddm_init |
---|
[3] | 253 | #endif |
---|
| 254 | |
---|
| 255 | !!====================================================================== |
---|
| 256 | END MODULE zdfddm |
---|