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- 2016-07-19T10:38:35+02:00 (8 years ago)
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branches/NERC/dev_r5549_BDY_ZEROGRAD/NEMOGCM/NEMO/OPA_SRC/LDF/ldftra.F90
r4624 r6808 2 2 !!====================================================================== 3 3 !! *** MODULE ldftra *** 4 !! Ocean physics: lateral diffusivity coefficient 4 !! Ocean physics: lateral diffusivity coefficients 5 5 !!===================================================================== 6 !! History : ! 1997-07 (G. Madec) from inimix.F split in 2 routines 7 !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module 8 !! 2.0 ! 2005-11 (G. Madec) 6 !! History : ! 1997-07 (G. Madec) from inimix.F split in 2 routines 7 !! NEMO 1.0 ! 2002-09 (G. Madec) F90: Free form and module 8 !! 2.0 ! 2005-11 (G. Madec) 9 !! 3.7 ! 2013-12 (F. Lemarie, G. Madec) restructuration/simplification of aht/aeiv specification, 10 !! ! add velocity dependent coefficient and optional read in file 9 11 !!---------------------------------------------------------------------- 10 12 11 13 !!---------------------------------------------------------------------- 12 14 !! ldf_tra_init : initialization, namelist read, and parameters control 13 !! ldf_tra_c3d : 3D eddy viscosity coefficient initialization 14 !! ldf_tra_c2d : 2D eddy viscosity coefficient initialization 15 !! ldf_tra_c1d : 1D eddy viscosity coefficient initialization 15 !! ldf_tra : update lateral eddy diffusivity coefficients at each time step 16 !! ldf_eiv_init : initialization of the eiv coeff. from namelist choices 17 !! ldf_eiv : time evolution of the eiv coefficients (function of the growth rate of baroclinic instability) 18 !! ldf_eiv_trp : add to the input ocean transport the contribution of the EIV parametrization 19 !! ldf_eiv_dia : diagnose the eddy induced velocity from the eiv streamfunction 16 20 !!---------------------------------------------------------------------- 17 21 USE oce ! ocean dynamics and tracers 18 22 USE dom_oce ! ocean space and time domain 19 23 USE phycst ! physical constants 20 USE ldftra_oce ! ocean tracer lateral physics 21 USE ldfslp ! ??? 24 USE ldfslp ! lateral diffusion: slope of iso-neutral surfaces 25 USE ldfc1d_c2d ! lateral diffusion: 1D & 2D cases 26 USE diaar5, ONLY: lk_diaar5 27 ! 28 USE trc_oce, ONLY: lk_offline ! offline flag 22 29 USE in_out_manager ! I/O manager 23 USE io ipsl30 USE iom ! I/O module for ehanced bottom friction file 24 31 USE lib_mpp ! distribued memory computing library 25 32 USE lbclnk ! ocean lateral boundary conditions (or mpp link) 33 USE wrk_nemo ! work arrays 34 USE timing ! timing 26 35 27 36 IMPLICIT NONE 28 37 PRIVATE 29 38 30 PUBLIC ldf_tra_init ! called by opa.F90 39 PUBLIC ldf_tra_init ! called by nemogcm.F90 40 PUBLIC ldf_tra ! called by step.F90 41 PUBLIC ldf_eiv_init ! called by nemogcm.F90 42 PUBLIC ldf_eiv ! called by step.F90 43 PUBLIC ldf_eiv_trp ! called by traadv.F90 44 PUBLIC ldf_eiv_dia ! called by traldf_iso and traldf_iso_triad.F90 45 46 ! !!* Namelist namtra_ldf : lateral mixing on tracers * 47 ! != Operator type =! 48 LOGICAL , PUBLIC :: ln_traldf_lap !: laplacian operator 49 LOGICAL , PUBLIC :: ln_traldf_blp !: bilaplacian operator 50 ! != Direction of action =! 51 LOGICAL , PUBLIC :: ln_traldf_lev !: iso-level direction 52 LOGICAL , PUBLIC :: ln_traldf_hor !: horizontal (geopotential) direction 53 ! LOGICAL , PUBLIC :: ln_traldf_iso !: iso-neutral direction (see ldfslp) 54 ! LOGICAL , PUBLIC :: ln_traldf_triad !: griffies triad scheme (see ldfslp) 55 LOGICAL , PUBLIC :: ln_traldf_msc !: Method of Stabilizing Correction 56 ! LOGICAL , PUBLIC :: ln_triad_iso !: pure horizontal mixing in ML (see ldfslp) 57 ! LOGICAL , PUBLIC :: ln_botmix_triad !: mixing on bottom (see ldfslp) 58 ! REAL(wp), PUBLIC :: rn_sw_triad !: =1/0 switching triad / all 4 triads used (see ldfslp) 59 ! REAL(wp), PUBLIC :: rn_slpmax !: slope limit (see ldfslp) 60 ! != Coefficients =! 61 INTEGER , PUBLIC :: nn_aht_ijk_t !: choice of time & space variations of the lateral eddy diffusivity coef. 62 REAL(wp), PUBLIC :: rn_aht_0 !: laplacian lateral eddy diffusivity [m2/s] 63 REAL(wp), PUBLIC :: rn_bht_0 !: bilaplacian lateral eddy diffusivity [m4/s] 64 65 ! !!* Namelist namtra_ldfeiv : eddy induced velocity param. * 66 ! != Use/diagnose eiv =! 67 LOGICAL , PUBLIC :: ln_ldfeiv !: eddy induced velocity flag 68 LOGICAL , PUBLIC :: ln_ldfeiv_dia !: diagnose & output eiv streamfunction and velocity (IOM) 69 ! != Coefficients =! 70 INTEGER , PUBLIC :: nn_aei_ijk_t !: choice of time/space variation of the eiv coeff. 71 REAL(wp), PUBLIC :: rn_aeiv_0 !: eddy induced velocity coefficient [m2/s] 72 73 LOGICAL , PUBLIC :: l_ldftra_time = .FALSE. !: flag for time variation of the lateral eddy diffusivity coef. 74 LOGICAL , PUBLIC :: l_ldfeiv_time = .FALSE. ! flag for time variation of the eiv coef. 75 76 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: ahtu, ahtv !: eddy diffusivity coef. at U- and V-points [m2/s] 77 REAL(wp), PUBLIC, ALLOCATABLE, SAVE, DIMENSION(:,:,:) :: aeiu, aeiv !: eddy induced velocity coeff. [m2/s] 78 79 REAL(wp) :: r1_4 = 0.25_wp ! =1/4 80 REAL(wp) :: r1_12 = 1._wp / 12._wp ! =1/12 31 81 32 82 !! * Substitutions 33 # include "domzgr_substitute.h90"34 83 # include "vectopt_loop_substitute.h90" 35 84 !!---------------------------------------------------------------------- 36 !! NEMO/OPA 3. 3 , NEMO Consortium (2010)85 !! NEMO/OPA 3.7 , NEMO Consortium (2015) 37 86 !! $Id$ 38 87 !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) … … 46 95 !! ** Purpose : initializations of the tracer lateral mixing coeff. 47 96 !! 48 !! ** Method : the Eddy diffusivity and eddy induced velocity ceoff. 49 !! are defined as follows: 50 !! default option : constant coef. aht0, aeiv0 (namelist) 51 !! 'key_traldf_c1d': depth dependent coef. defined in 52 !! in ldf_tra_c1d routine 53 !! 'key_traldf_c2d': latitude and longitude dependent coef. 54 !! defined in ldf_tra_c2d routine 55 !! 'key_traldf_c3d': latitude, longitude, depth dependent coef. 56 !! defined in ldf_tra_c3d routine 57 !! 58 !! N.B. User defined include files. By default, 3d and 2d coef. 59 !! are set to a constant value given in the namelist and the 1d 60 !! coefficients are initialized to a hyperbolic tangent vertical 61 !! profile. 62 !!---------------------------------------------------------------------- 63 INTEGER :: ioptio ! temporary integer 64 INTEGER :: ios ! temporary integer 65 LOGICAL :: ll_print = .FALSE. ! =T print eddy coef. in numout 66 !! 67 NAMELIST/namtra_ldf/ ln_traldf_lap , ln_traldf_bilap, & 68 & ln_traldf_level, ln_traldf_hor , ln_traldf_iso, & 69 & ln_traldf_grif , ln_traldf_gdia , & 70 & ln_triad_iso , ln_botmix_grif , & 71 & rn_aht_0 , rn_ahtb_0 , rn_aeiv_0, & 72 & rn_slpmax , rn_chsmag , rn_smsh, & 73 & rn_aht_m 74 !!---------------------------------------------------------------------- 75 76 ! Define the lateral tracer physics parameters 77 ! ============================================= 78 79 97 !! ** Method : * the eddy diffusivity coef. specification depends on: 98 !! 99 !! ln_traldf_lap = T laplacian operator 100 !! ln_traldf_blp = T bilaplacian operator 101 !! 102 !! nn_aht_ijk_t = 0 => = constant 103 !! ! 104 !! = 10 => = F(z) : constant with a reduction of 1/4 with depth 105 !! ! 106 !! =-20 => = F(i,j) = shape read in 'eddy_diffusivity.nc' file 107 !! = 20 = F(i,j) = F(e1,e2) or F(e1^3,e2^3) (lap or bilap case) 108 !! = 21 = F(i,j,t) = F(growth rate of baroclinic instability) 109 !! ! 110 !! =-30 => = F(i,j,k) = shape read in 'eddy_diffusivity.nc' file 111 !! = 30 = F(i,j,k) = 2D (case 20) + decrease with depth (case 10) 112 !! = 31 = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator 113 !! or |u|e^3/12 bilaplacian operator ) 114 !! * initialisation of the eddy induced velocity coefficient by a call to ldf_eiv_init 115 !! 116 !! ** action : ahtu, ahtv initialized once for all or l_ldftra_time set to true 117 !! aeiu, aeiv initialized once for all or l_ldfeiv_time set to true 118 !!---------------------------------------------------------------------- 119 INTEGER :: jk ! dummy loop indices 120 INTEGER :: ierr, inum, ios ! local integer 121 REAL(wp) :: zah0 ! local scalar 122 ! 123 NAMELIST/namtra_ldf/ ln_traldf_lap, ln_traldf_blp , & ! type of operator 124 & ln_traldf_lev, ln_traldf_hor , ln_traldf_triad, & ! acting direction of the operator 125 & ln_traldf_iso, ln_traldf_msc , rn_slpmax , & ! option for iso-neutral operator 126 & ln_triad_iso , ln_botmix_triad, rn_sw_triad , & ! option for triad operator 127 & rn_aht_0 , rn_bht_0 , nn_aht_ijk_t ! lateral eddy coefficient 128 !!---------------------------------------------------------------------- 129 ! 130 ! Choice of lateral tracer physics 131 ! ================================= 132 ! 80 133 REWIND( numnam_ref ) ! Namelist namtra_ldf in reference namelist : Lateral physics on tracers 81 134 READ ( numnam_ref, namtra_ldf, IOSTAT = ios, ERR = 901) 82 135 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldf in reference namelist', lwp ) 83 136 ! 84 137 REWIND( numnam_cfg ) ! Namelist namtra_ldf in configuration namelist : Lateral physics on tracers 85 138 READ ( numnam_cfg, namtra_ldf, IOSTAT = ios, ERR = 902 ) 86 139 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldf in configuration namelist', lwp ) 87 140 IF(lwm) WRITE ( numond, namtra_ldf ) 88 141 ! 89 142 IF(lwp) THEN ! control print 90 143 WRITE(numout,*) … … 92 145 WRITE(numout,*) '~~~~~~~~~~~~ ' 93 146 WRITE(numout,*) ' Namelist namtra_ldf : lateral mixing parameters (type, direction, coefficients)' 94 WRITE(numout,*) ' laplacian operator ln_traldf_lap = ', ln_traldf_lap 95 WRITE(numout,*) ' bilaplacian operator ln_traldf_bilap = ', ln_traldf_bilap 96 WRITE(numout,*) ' iso-level ln_traldf_level = ', ln_traldf_level 97 WRITE(numout,*) ' horizontal (geopotential) ln_traldf_hor = ', ln_traldf_hor 98 WRITE(numout,*) ' iso-neutral ln_traldf_iso = ', ln_traldf_iso 99 WRITE(numout,*) ' iso-neutral (Griffies) ln_traldf_grif = ', ln_traldf_grif 100 WRITE(numout,*) ' Griffies strmfn diagnostics ln_traldf_gdia = ', ln_traldf_gdia 101 WRITE(numout,*) ' lateral eddy diffusivity rn_aht_0 = ', rn_aht_0 102 WRITE(numout,*) ' background hor. diffusivity rn_ahtb_0 = ', rn_ahtb_0 103 WRITE(numout,*) ' eddy induced velocity coef. rn_aeiv_0 = ', rn_aeiv_0 104 WRITE(numout,*) ' maximum isoppycnal slope rn_slpmax = ', rn_slpmax 105 WRITE(numout,*) ' pure lateral mixing in ML ln_triad_iso = ', ln_triad_iso 106 WRITE(numout,*) ' lateral mixing on bottom ln_botmix_grif = ', ln_botmix_grif 147 ! 148 WRITE(numout,*) ' type :' 149 WRITE(numout,*) ' laplacian operator ln_traldf_lap = ', ln_traldf_lap 150 WRITE(numout,*) ' bilaplacian operator ln_traldf_blp = ', ln_traldf_blp 151 ! 152 WRITE(numout,*) ' direction of action :' 153 WRITE(numout,*) ' iso-level ln_traldf_lev = ', ln_traldf_lev 154 WRITE(numout,*) ' horizontal (geopotential) ln_traldf_hor = ', ln_traldf_hor 155 WRITE(numout,*) ' iso-neutral Madec operator ln_traldf_iso = ', ln_traldf_iso 156 WRITE(numout,*) ' iso-neutral triad operator ln_traldf_triad = ', ln_traldf_triad 157 WRITE(numout,*) ' iso-neutral (Method of Stab. Corr.) ln_traldf_msc = ', ln_traldf_msc 158 WRITE(numout,*) ' maximum isoppycnal slope rn_slpmax = ', rn_slpmax 159 WRITE(numout,*) ' pure lateral mixing in ML ln_triad_iso = ', ln_triad_iso 160 WRITE(numout,*) ' switching triad or not rn_sw_triad = ', rn_sw_triad 161 WRITE(numout,*) ' lateral mixing on bottom ln_botmix_triad = ', ln_botmix_triad 162 ! 163 WRITE(numout,*) ' coefficients :' 164 WRITE(numout,*) ' lateral eddy diffusivity (lap case) rn_aht_0 = ', rn_aht_0 165 WRITE(numout,*) ' lateral eddy diffusivity (bilap case) rn_bht_0 = ', rn_bht_0 166 WRITE(numout,*) ' type of time-space variation nn_aht_ijk_t = ', nn_aht_ijk_t 167 ENDIF 168 ! 169 ! ! Parameter control 170 ! 171 IF( .NOT.ln_traldf_lap .AND. .NOT.ln_traldf_blp ) THEN 172 IF(lwp) WRITE(numout,*) ' No diffusive operator selected. ahtu and ahtv are not allocated' 173 l_ldftra_time = .FALSE. 174 RETURN 175 ENDIF 176 ! 177 IF( ln_traldf_blp .AND. ( ln_traldf_iso .OR. ln_traldf_triad) ) THEN ! iso-neutral bilaplacian need MSC 178 IF( .NOT.ln_traldf_msc ) CALL ctl_stop( 'tra_ldf_init: iso-neutral bilaplacian requires ln_traldf_msc=.true.' ) 179 ENDIF 180 ! 181 ! Space/time variation of eddy coefficients 182 ! =========================================== 183 ! ! allocate the aht arrays 184 ALLOCATE( ahtu(jpi,jpj,jpk) , ahtv(jpi,jpj,jpk) , STAT=ierr ) 185 IF( ierr /= 0 ) CALL ctl_stop( 'STOP', 'ldf_tra_init: failed to allocate arrays') 186 ! 187 ahtu(:,:,jpk) = 0._wp ! last level always 0 188 ahtv(:,:,jpk) = 0._wp 189 ! 190 ! ! value of eddy mixing coef. 191 IF ( ln_traldf_lap ) THEN ; zah0 = rn_aht_0 ! laplacian operator 192 ELSEIF( ln_traldf_blp ) THEN ; zah0 = ABS( rn_bht_0 ) ! bilaplacian operator 193 ENDIF 194 ! 195 l_ldftra_time = .FALSE. ! no time variation except in case defined below 196 ! 197 IF( ln_traldf_lap .OR. ln_traldf_blp ) THEN ! only if a lateral diffusion operator is used 198 ! 199 SELECT CASE( nn_aht_ijk_t ) ! Specification of space time variations of ehtu, ahtv 200 ! 201 CASE( 0 ) !== constant ==! 202 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = constant = ', rn_aht_0 203 ahtu(:,:,:) = zah0 * umask(:,:,:) 204 ahtv(:,:,:) = zah0 * vmask(:,:,:) 205 ! 206 CASE( 10 ) !== fixed profile ==! 207 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( depth )' 208 ahtu(:,:,1) = zah0 * umask(:,:,1) ! constant surface value 209 ahtv(:,:,1) = zah0 * vmask(:,:,1) 210 CALL ldf_c1d( 'TRA', r1_4, ahtu(:,:,1), ahtv(:,:,1), ahtu, ahtv ) 211 ! 212 CASE ( -20 ) !== fixed horizontal shape read in file ==! 213 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j) read in eddy_diffusivity.nc file' 214 CALL iom_open( 'eddy_diffusivity_2D.nc', inum ) 215 CALL iom_get ( inum, jpdom_data, 'ahtu_2D', ahtu(:,:,1) ) 216 CALL iom_get ( inum, jpdom_data, 'ahtv_2D', ahtv(:,:,1) ) 217 CALL iom_close( inum ) 218 DO jk = 2, jpkm1 219 ahtu(:,:,jk) = ahtu(:,:,1) * umask(:,:,jk) 220 ahtv(:,:,jk) = ahtv(:,:,1) * vmask(:,:,jk) 221 END DO 222 ! 223 CASE( 20 ) !== fixed horizontal shape ==! 224 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap or blp case)' 225 IF( ln_traldf_lap ) CALL ldf_c2d( 'TRA', 'LAP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 226 IF( ln_traldf_blp ) CALL ldf_c2d( 'TRA', 'BLP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 227 ! 228 CASE( 21 ) !== time varying 2D field ==! 229 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, time )' 230 IF(lwp) WRITE(numout,*) ' = F( growth rate of baroclinic instability )' 231 IF(lwp) WRITE(numout,*) ' min value = 0.1 * rn_aht_0' 232 IF(lwp) WRITE(numout,*) ' max value = rn_aht_0 (rn_aeiv_0 if nn_aei_ijk_t=21)' 233 IF(lwp) WRITE(numout,*) ' increased to rn_aht_0 within 20N-20S' 234 ! 235 l_ldftra_time = .TRUE. ! will be calculated by call to ldf_tra routine in step.F90 236 ! 237 IF( ln_traldf_blp ) THEN 238 CALL ctl_stop( 'ldf_tra_init: aht=F(growth rate of baroc. insta.) incompatible with bilaplacian operator' ) 239 ENDIF 240 ! 241 CASE( -30 ) !== fixed 3D shape read in file ==! 242 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j,k) read in eddy_diffusivity.nc file' 243 CALL iom_open( 'eddy_diffusivity_3D.nc', inum ) 244 CALL iom_get ( inum, jpdom_data, 'ahtu_3D', ahtu ) 245 CALL iom_get ( inum, jpdom_data, 'ahtv_3D', ahtv ) 246 CALL iom_close( inum ) 247 DO jk = 1, jpkm1 248 ahtu(:,:,jk) = ahtu(:,:,jk) * umask(:,:,jk) 249 ahtv(:,:,jk) = ahtv(:,:,jk) * vmask(:,:,jk) 250 END DO 251 ! 252 CASE( 30 ) !== fixed 3D shape ==! 253 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth )' 254 IF( ln_traldf_lap ) CALL ldf_c2d( 'TRA', 'LAP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 255 IF( ln_traldf_blp ) CALL ldf_c2d( 'TRA', 'BLP', zah0, ahtu, ahtv ) ! surface value proportional to scale factor 256 ! ! reduction with depth 257 CALL ldf_c1d( 'TRA', r1_4, ahtu(:,:,1), ahtv(:,:,1), ahtu, ahtv ) 258 ! 259 CASE( 31 ) !== time varying 3D field ==! 260 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth , time )' 261 IF(lwp) WRITE(numout,*) ' proportional to the velocity : |u|e/12 or |u|e^3/12' 262 ! 263 l_ldftra_time = .TRUE. ! will be calculated by call to ldf_tra routine in step.F90 264 ! 265 CASE DEFAULT 266 CALL ctl_stop('ldf_tra_init: wrong choice for nn_aht_ijk_t, the type of space-time variation of aht') 267 END SELECT 268 ! 269 IF( ln_traldf_blp .AND. .NOT. l_ldftra_time ) THEN 270 ahtu(:,:,:) = SQRT( ahtu(:,:,:) ) 271 ahtv(:,:,:) = SQRT( ahtv(:,:,:) ) 272 ENDIF 273 ! 274 ENDIF 275 ! 276 END SUBROUTINE ldf_tra_init 277 278 279 SUBROUTINE ldf_tra( kt ) 280 !!---------------------------------------------------------------------- 281 !! *** ROUTINE ldf_tra *** 282 !! 283 !! ** Purpose : update at kt the tracer lateral mixing coeff. (aht and aeiv) 284 !! 285 !! ** Method : time varying eddy diffusivity coefficients: 286 !! 287 !! nn_aei_ijk_t = 21 aeiu, aeiv = F(i,j, t) = F(growth rate of baroclinic instability) 288 !! with a reduction to 0 in vicinity of the Equator 289 !! nn_aht_ijk_t = 21 ahtu, ahtv = F(i,j, t) = F(growth rate of baroclinic instability) 290 !! 291 !! = 31 ahtu, ahtv = F(i,j,k,t) = F(local velocity) ( |u|e /12 laplacian operator 292 !! or |u|e^3/12 bilaplacian operator ) 293 !! 294 !! ** action : ahtu, ahtv update at each time step 295 !! aeiu, aeiv - - - - (if ln_ldfeiv=T) 296 !!---------------------------------------------------------------------- 297 INTEGER, INTENT(in) :: kt ! time step 298 ! 299 INTEGER :: ji, jj, jk ! dummy loop indices 300 REAL(wp) :: zaht, zaht_min, z1_f20 ! local scalar 301 !!---------------------------------------------------------------------- 302 ! 303 IF( nn_aei_ijk_t == 21 ) THEN ! eddy induced velocity coefficients 304 ! ! =F(growth rate of baroclinic instability) 305 ! ! max value rn_aeiv_0 ; decreased to 0 within 20N-20S 306 CALL ldf_eiv( kt, rn_aeiv_0, aeiu, aeiv ) 307 IF(lwp .AND. kt<=nit000+20 ) WRITE(numout,*) ' kt , ldf_eiv appel', kt 308 ENDIF 309 ! 310 SELECT CASE( nn_aht_ijk_t ) ! Eddy diffusivity coefficients 311 ! 312 CASE( 21 ) !== time varying 2D field ==! = F( growth rate of baroclinic instability ) 313 ! ! min value rn_aht_0 / 10 314 ! ! max value rn_aht_0 (rn_aeiv_0 if nn_aei_ijk_t=21) 315 ! ! increase to rn_aht_0 within 20N-20S 316 IF( nn_aei_ijk_t /= 21 ) THEN 317 CALL ldf_eiv( kt, rn_aht_0, ahtu, ahtv ) 318 IF(lwp .AND. kt<=nit000+20 ) WRITE(numout,*) ' kt , ldf_eiv appel 2', kt 319 ELSE 320 ahtu(:,:,1) = aeiu(:,:,1) 321 ahtv(:,:,1) = aeiv(:,:,1) 322 IF(lwp .AND. kt<=nit000+20 ) WRITE(numout,*) ' kt , ahtu=aeiu', kt 323 ENDIF 324 ! 325 z1_f20 = 1._wp / ( 2._wp * omega * SIN( rad * 20._wp ) ) ! 1 / ff(20 degrees) 326 zaht_min = 0.2_wp * rn_aht_0 ! minimum value for aht 327 DO jj = 1, jpj 328 DO ji = 1, jpi 329 zaht = ( 1._wp - MIN( 1._wp , ABS( ff(ji,jj) * z1_f20 ) ) ) * ( rn_aht_0 - zaht_min ) 330 ahtu(ji,jj,1) = ( MAX( zaht_min, ahtu(ji,jj,1) ) + zaht ) * umask(ji,jj,1) ! min value zaht_min 331 ahtv(ji,jj,1) = ( MAX( zaht_min, ahtv(ji,jj,1) ) + zaht ) * vmask(ji,jj,1) ! increase within 20S-20N 332 END DO 333 END DO 334 DO jk = 2, jpkm1 ! deeper value = surface value 335 ahtu(:,:,jk) = ahtu(:,:,1) * umask(:,:,jk) 336 ahtv(:,:,jk) = ahtv(:,:,1) * vmask(:,:,jk) 337 END DO 338 ! 339 CASE( 31 ) !== time varying 3D field ==! = F( local velocity ) 340 IF( ln_traldf_lap ) THEN ! laplacian operator |u| e /12 341 DO jk = 1, jpkm1 342 ahtu(:,:,jk) = ABS( ub(:,:,jk) ) * e1u(:,:) * r1_12 343 ahtv(:,:,jk) = ABS( vb(:,:,jk) ) * e2v(:,:) * r1_12 344 END DO 345 ELSEIF( ln_traldf_blp ) THEN ! bilaplacian operator sqrt( |u| e^3 /12 ) = sqrt( |u| e /12 ) * e 346 DO jk = 1, jpkm1 347 ahtu(:,:,jk) = SQRT( ABS( ub(:,:,jk) ) * e1u(:,:) * r1_12 ) * e1u(:,:) 348 ahtv(:,:,jk) = SQRT( ABS( vb(:,:,jk) ) * e2v(:,:) * r1_12 ) * e2v(:,:) 349 END DO 350 ENDIF 351 ! 352 END SELECT 353 ! 354 IF( .NOT.lk_offline ) THEN 355 CALL iom_put( "ahtu_2d", ahtu(:,:,1) ) ! surface u-eddy diffusivity coeff. 356 CALL iom_put( "ahtv_2d", ahtv(:,:,1) ) ! surface v-eddy diffusivity coeff. 357 CALL iom_put( "ahtu_3d", ahtu(:,:,:) ) ! 3D u-eddy diffusivity coeff. 358 CALL iom_put( "ahtv_3d", ahtv(:,:,:) ) ! 3D v-eddy diffusivity coeff. 359 ! 360 !!gm : THE IF below is to be checked (comes from Seb) 361 IF( ln_ldfeiv ) THEN 362 CALL iom_put( "aeiu_2d", aeiu(:,:,1) ) ! surface u-EIV coeff. 363 CALL iom_put( "aeiv_2d", aeiv(:,:,1) ) ! surface v-EIV coeff. 364 CALL iom_put( "aeiu_3d", aeiu(:,:,:) ) ! 3D u-EIV coeff. 365 CALL iom_put( "aeiv_3d", aeiv(:,:,:) ) ! 3D v-EIV coeff. 366 ENDIF 367 ENDIF 368 ! 369 END SUBROUTINE ldf_tra 370 371 372 SUBROUTINE ldf_eiv_init 373 !!---------------------------------------------------------------------- 374 !! *** ROUTINE ldf_eiv_init *** 375 !! 376 !! ** Purpose : initialization of the eiv coeff. from namelist choices. 377 !! 378 !! ** Method : 379 !! 380 !! ** Action : aeiu , aeiv : EIV coeff. at u- & v-points 381 !! l_ldfeiv_time : =T if EIV coefficients vary with time 382 !!---------------------------------------------------------------------- 383 INTEGER :: jk ! dummy loop indices 384 INTEGER :: ierr, inum, ios ! local integer 385 ! 386 NAMELIST/namtra_ldfeiv/ ln_ldfeiv , ln_ldfeiv_dia, & ! eddy induced velocity (eiv) 387 & nn_aei_ijk_t, rn_aeiv_0 ! eiv coefficient 388 !!---------------------------------------------------------------------- 389 ! 390 REWIND( numnam_ref ) ! Namelist namtra_ldfeiv in reference namelist : eddy induced velocity param. 391 READ ( numnam_ref, namtra_ldfeiv, IOSTAT = ios, ERR = 901) 392 901 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldfeiv in reference namelist', lwp ) 393 ! 394 REWIND( numnam_cfg ) ! Namelist namtra_ldfeiv in configuration namelist : eddy induced velocity param. 395 READ ( numnam_cfg, namtra_ldfeiv, IOSTAT = ios, ERR = 902 ) 396 902 IF( ios /= 0 ) CALL ctl_nam ( ios , 'namtra_ldfeiv in configuration namelist', lwp ) 397 IF(lwm) WRITE ( numond, namtra_ldfeiv ) 398 399 IF(lwp) THEN ! control print 107 400 WRITE(numout,*) 108 ENDIF 109 110 ! ! convert DOCTOR namelist names into OLD names 111 aht0 = rn_aht_0 112 ahtb0 = rn_ahtb_0 113 aeiv0 = rn_aeiv_0 114 115 ! ! Parameter control 116 117 ! ... Check consistency for type and direction : 118 ! ==> will be done in traldf module 119 120 ! ... Space variation of eddy coefficients 121 ioptio = 0 122 #if defined key_traldf_c3d 123 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth)' 124 ioptio = ioptio + 1 125 #endif 126 #if defined key_traldf_c2d 127 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude)' 128 ioptio = ioptio + 1 129 #endif 130 #if defined key_traldf_c1d 131 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( depth )' 132 ioptio = ioptio + 1 133 IF( .NOT. ln_zco ) CALL ctl_stop( 'key_traldf_c1d can only be used in z-coordinate - full step' ) 134 #endif 135 IF( ioptio == 0 ) THEN 136 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = constant (default option)' 137 ELSEIF( ioptio > 1 ) THEN 138 CALL ctl_stop(' use only one of the following keys:', & 139 & ' key_traldf_c3d, key_traldf_c2d, key_traldf_c1d' ) 140 ENDIF 141 142 IF( ln_traldf_bilap ) THEN 143 IF(lwp) WRITE(numout,*) ' biharmonic tracer diffusion' 144 IF( aht0 > 0 .AND. .NOT. lk_esopa ) CALL ctl_stop( 'The horizontal diffusivity coef. aht0 must be negative' ) 401 WRITE(numout,*) 'ldf_eiv_init : eddy induced velocity parametrization' 402 WRITE(numout,*) '~~~~~~~~~~~~ ' 403 WRITE(numout,*) ' Namelist namtra_ldfeiv : ' 404 WRITE(numout,*) ' Eddy Induced Velocity (eiv) param. ln_ldfeiv = ', ln_ldfeiv 405 WRITE(numout,*) ' eiv streamfunction & velocity diag. ln_ldfeiv_dia = ', ln_ldfeiv_dia 406 WRITE(numout,*) ' eddy induced velocity coef. rn_aeiv_0 = ', rn_aeiv_0 407 WRITE(numout,*) ' type of time-space variation nn_aei_ijk_t = ', nn_aei_ijk_t 408 WRITE(numout,*) 409 ENDIF 410 ! 411 IF( ln_ldfeiv .AND. ln_traldf_blp ) CALL ctl_stop( 'ldf_eiv_init: eddy induced velocity ONLY with laplacian diffusivity' ) 412 413 ! ! Parameter control 414 l_ldfeiv_time = .FALSE. 415 ! 416 IF( ln_ldfeiv ) THEN ! allocate the aei arrays 417 ALLOCATE( aeiu(jpi,jpj,jpk), aeiv(jpi,jpj,jpk), STAT=ierr ) 418 IF( ierr /= 0 ) CALL ctl_stop('STOP', 'ldf_eiv: failed to allocate arrays') 419 ! 420 SELECT CASE( nn_aei_ijk_t ) ! Specification of space time variations of eaiu, aeiv 421 ! 422 CASE( 0 ) !== constant ==! 423 IF(lwp) WRITE(numout,*) ' eddy induced velocity coef. = constant = ', rn_aeiv_0 424 aeiu(:,:,:) = rn_aeiv_0 425 aeiv(:,:,:) = rn_aeiv_0 426 ! 427 CASE( 10 ) !== fixed profile ==! 428 IF(lwp) WRITE(numout,*) ' eddy induced velocity coef. = F( depth )' 429 aeiu(:,:,1) = rn_aeiv_0 ! constant surface value 430 aeiv(:,:,1) = rn_aeiv_0 431 CALL ldf_c1d( 'TRA', r1_4, aeiu(:,:,1), aeiv(:,:,1), aeiu, aeiv ) 432 ! 433 CASE ( -20 ) !== fixed horizontal shape read in file ==! 434 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j) read in eddy_diffusivity_2D.nc file' 435 CALL iom_open ( 'eddy_induced_velocity_2D.nc', inum ) 436 CALL iom_get ( inum, jpdom_data, 'aeiu', aeiu(:,:,1) ) 437 CALL iom_get ( inum, jpdom_data, 'aeiv', aeiv(:,:,1) ) 438 CALL iom_close( inum ) 439 DO jk = 2, jpk 440 aeiu(:,:,jk) = aeiu(:,:,1) 441 aeiv(:,:,jk) = aeiv(:,:,1) 442 END DO 443 ! 444 CASE( 20 ) !== fixed horizontal shape ==! 445 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( e1, e2 ) or F( e1^3, e2^3 ) (lap or bilap case)' 446 CALL ldf_c2d( 'TRA', 'LAP', rn_aeiv_0, aeiu, aeiv ) ! surface value proportional to scale factor 447 ! 448 CASE( 21 ) !== time varying 2D field ==! 449 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, time )' 450 IF(lwp) WRITE(numout,*) ' = F( growth rate of baroclinic instability )' 451 ! 452 l_ldfeiv_time = .TRUE. ! will be calculated by call to ldf_tra routine in step.F90 453 ! 454 CASE( -30 ) !== fixed 3D shape read in file ==! 455 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F(i,j,k) read in eddy_diffusivity_3D.nc file' 456 CALL iom_open ( 'eddy_induced_velocity_3D.nc', inum ) 457 CALL iom_get ( inum, jpdom_data, 'aeiu', aeiu ) 458 CALL iom_get ( inum, jpdom_data, 'aeiv', aeiv ) 459 CALL iom_close( inum ) 460 ! 461 CASE( 30 ) !== fixed 3D shape ==! 462 IF(lwp) WRITE(numout,*) ' tracer mixing coef. = F( latitude, longitude, depth )' 463 CALL ldf_c2d( 'TRA', 'LAP', rn_aeiv_0, aeiu, aeiv ) ! surface value proportional to scale factor 464 ! ! reduction with depth 465 CALL ldf_c1d( 'TRA', r1_4, aeiu(:,:,1), aeiv(:,:,1), aeiu, aeiv ) 466 ! 467 CASE DEFAULT 468 CALL ctl_stop('ldf_tra_init: wrong choice for nn_aei_ijk_t, the type of space-time variation of aei') 469 END SELECT 470 ! 145 471 ELSE 146 IF(lwp) WRITE(numout,*) ' harmonic tracer diffusion (default)' 147 IF( aht0 < 0 .AND. .NOT. lk_esopa ) CALL ctl_stop('The horizontal diffusivity coef. aht0 must be positive' ) 148 ENDIF 149 150 151 ! Lateral eddy diffusivity and eddy induced velocity coefficients 152 ! ================================================================ 153 #if defined key_traldf_c3d 154 CALL ldf_tra_c3d( ll_print ) ! aht = 3D coef. = F( longitude, latitude, depth ) 155 #elif defined key_traldf_c2d 156 CALL ldf_tra_c2d( ll_print ) ! aht = 2D coef. = F( longitude, latitude ) 157 #elif defined key_traldf_c1d 158 CALL ldf_tra_c1d( ll_print ) ! aht = 1D coef. = F( depth ) 159 #else 160 ! Constant coefficients 161 IF(lwp)WRITE(numout,*) 162 IF(lwp)WRITE(numout,*) ' constant eddy diffusivity coef. ahtu = ahtv = ahtw = aht0 = ', aht0 163 IF( lk_traldf_eiv ) THEN 164 IF(lwp)WRITE(numout,*) ' constant eddy induced velocity coef. aeiu = aeiv = aeiw = aeiv0 = ', aeiv0 472 IF(lwp) WRITE(numout,*) ' eddy induced velocity param is NOT used neither diagnosed' 473 ln_ldfeiv_dia = .FALSE. 474 ENDIF 475 ! 476 END SUBROUTINE ldf_eiv_init 477 478 479 SUBROUTINE ldf_eiv( kt, paei0, paeiu, paeiv ) 480 !!---------------------------------------------------------------------- 481 !! *** ROUTINE ldf_eiv *** 482 !! 483 !! ** Purpose : Compute the eddy induced velocity coefficient from the 484 !! growth rate of baroclinic instability. 485 !! 486 !! ** Method : coefficient function of the growth rate of baroclinic instability 487 !! 488 !! Reference : Treguier et al. JPO 1997 ; Held and Larichev JAS 1996 489 !!---------------------------------------------------------------------- 490 INTEGER , INTENT(in ) :: kt ! ocean time-step index 491 REAL(wp) , INTENT(inout) :: paei0 ! max value [m2/s] 492 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: paeiu, paeiv ! eiv coefficient [m2/s] 493 ! 494 INTEGER :: ji, jj, jk ! dummy loop indices 495 REAL(wp) :: zfw, ze3w, zn2, z1_f20, zaht, zaht_min, zzaei ! local scalars 496 REAL(wp), DIMENSION(:,:), POINTER :: zn, zah, zhw, zross, zaeiw ! 2D workspace 497 !!---------------------------------------------------------------------- 498 ! 499 IF( nn_timing == 1 ) CALL timing_start('ldf_eiv') 500 ! 501 CALL wrk_alloc( jpi,jpj, zn, zah, zhw, zross, zaeiw ) 502 ! 503 zn (:,:) = 0._wp ! Local initialization 504 zhw (:,:) = 5._wp 505 zah (:,:) = 0._wp 506 zross(:,:) = 0._wp 507 ! ! Compute lateral diffusive coefficient at T-point 508 IF( ln_traldf_triad ) THEN 509 DO jk = 1, jpk 510 DO jj = 2, jpjm1 511 DO ji = 2, jpim1 512 ! Take the max of N^2 and zero then take the vertical sum 513 ! of the square root of the resulting N^2 ( required to compute 514 ! internal Rossby radius Ro = .5 * sum_jpk(N) / f 515 zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) 516 zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * e3w_n(ji,jj,jk) 517 ! Compute elements required for the inverse time scale of baroclinic 518 ! eddies using the isopycnal slopes calculated in ldfslp.F : 519 ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) 520 ze3w = e3w_n(ji,jj,jk) * tmask(ji,jj,jk) 521 zah(ji,jj) = zah(ji,jj) + zn2 * wslp2(ji,jj,jk) * ze3w 522 zhw(ji,jj) = zhw(ji,jj) + ze3w 523 END DO 524 END DO 525 END DO 526 ELSE 527 DO jk = 1, jpk 528 DO jj = 2, jpjm1 529 DO ji = 2, jpim1 530 ! Take the max of N^2 and zero then take the vertical sum 531 ! of the square root of the resulting N^2 ( required to compute 532 ! internal Rossby radius Ro = .5 * sum_jpk(N) / f 533 zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) 534 zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * e3w_n(ji,jj,jk) 535 ! Compute elements required for the inverse time scale of baroclinic 536 ! eddies using the isopycnal slopes calculated in ldfslp.F : 537 ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) 538 ze3w = e3w_n(ji,jj,jk) * tmask(ji,jj,jk) 539 zah(ji,jj) = zah(ji,jj) + zn2 * ( wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & 540 & + wslpj(ji,jj,jk) * wslpj(ji,jj,jk) ) * ze3w 541 zhw(ji,jj) = zhw(ji,jj) + ze3w 542 END DO 543 END DO 544 END DO 545 END IF 546 547 DO jj = 2, jpjm1 548 DO ji = fs_2, fs_jpim1 ! vector opt. 549 zfw = MAX( ABS( 2. * omega * SIN( rad * gphit(ji,jj) ) ) , 1.e-10 ) 550 ! Rossby radius at w-point taken < 40km and > 2km 551 zross(ji,jj) = MAX( MIN( .4 * zn(ji,jj) / zfw, 40.e3 ), 2.e3 ) 552 ! Compute aeiw by multiplying Ro^2 and T^-1 553 zaeiw(ji,jj) = zross(ji,jj) * zross(ji,jj) * SQRT( zah(ji,jj) / zhw(ji,jj) ) * tmask(ji,jj,1) 554 END DO 555 END DO 556 557 !!gm IF( cp_cfg == "orca" .AND. jp_cfg == 2 ) THEN ! ORCA R2 558 !!gm DO jj = 2, jpjm1 559 !!gm DO ji = fs_2, fs_jpim1 ! vector opt. 560 !!gm ! Take the minimum between aeiw and 1000 m2/s over shelves (depth shallower than 650 m) 561 !!gm IF( mbkt(ji,jj) <= 20 ) zaeiw(ji,jj) = MIN( zaeiw(ji,jj), 1000. ) 562 !!gm END DO 563 !!gm END DO 564 !!gm ENDIF 565 566 ! !== Bound on eiv coeff. ==! 567 z1_f20 = 1._wp / ( 2._wp * omega * sin( rad * 20._wp ) ) 568 DO jj = 2, jpjm1 569 DO ji = fs_2, fs_jpim1 ! vector opt. 570 zzaei = MIN( 1._wp, ABS( ff(ji,jj) * z1_f20 ) ) * zaeiw(ji,jj) ! tropical decrease 571 zaeiw(ji,jj) = MIN( zzaei , paei0 ) ! Max value = paei0 572 END DO 573 END DO 574 CALL lbc_lnk( zaeiw(:,:), 'W', 1. ) ! lateral boundary condition 575 ! 576 DO jj = 2, jpjm1 !== aei at u- and v-points ==! 577 DO ji = fs_2, fs_jpim1 ! vector opt. 578 paeiu(ji,jj,1) = 0.5_wp * ( zaeiw(ji,jj) + zaeiw(ji+1,jj ) ) * umask(ji,jj,1) 579 paeiv(ji,jj,1) = 0.5_wp * ( zaeiw(ji,jj) + zaeiw(ji ,jj+1) ) * vmask(ji,jj,1) 580 END DO 581 END DO 582 CALL lbc_lnk( paeiu(:,:,1), 'U', 1. ) ; CALL lbc_lnk( paeiv(:,:,1), 'V', 1. ) ! lateral boundary condition 583 584 DO jk = 2, jpkm1 !== deeper values equal the surface one ==! 585 paeiu(:,:,jk) = paeiu(:,:,1) * umask(:,:,jk) 586 paeiv(:,:,jk) = paeiv(:,:,1) * vmask(:,:,jk) 587 END DO 588 ! 589 CALL wrk_dealloc( jpi,jpj, zn, zah, zhw, zross, zaeiw ) 590 ! 591 IF( nn_timing == 1 ) CALL timing_stop('ldf_eiv') 592 ! 593 END SUBROUTINE ldf_eiv 594 595 596 SUBROUTINE ldf_eiv_trp( kt, kit000, pun, pvn, pwn, cdtype ) 597 !!---------------------------------------------------------------------- 598 !! *** ROUTINE ldf_eiv_trp *** 599 !! 600 !! ** Purpose : add to the input ocean transport the contribution of 601 !! the eddy induced velocity parametrization. 602 !! 603 !! ** Method : The eddy induced transport is computed from a flux stream- 604 !! function which depends on the slope of iso-neutral surfaces 605 !! (see ldf_slp). For example, in the i-k plan : 606 !! psi_uw = mk(aeiu) e2u mi(wslpi) [in m3/s] 607 !! Utr_eiv = - dk[psi_uw] 608 !! Vtr_eiv = + di[psi_uw] 609 !! ln_ldfeiv_dia = T : output the associated streamfunction, 610 !! velocity and heat transport (call ldf_eiv_dia) 611 !! 612 !! ** Action : pun, pvn increased by the eiv transport 613 !!---------------------------------------------------------------------- 614 INTEGER , INTENT(in ) :: kt ! ocean time-step index 615 INTEGER , INTENT(in ) :: kit000 ! first time step index 616 CHARACTER(len=3) , INTENT(in ) :: cdtype ! =TRA or TRC (tracer indicator) 617 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pun ! in : 3 ocean transport components [m3/s] 618 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pvn ! out: 3 ocean transport components [m3/s] 619 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: pwn ! increased by the eiv [m3/s] 620 !! 621 INTEGER :: ji, jj, jk ! dummy loop indices 622 REAL(wp) :: zuwk, zuwk1, zuwi, zuwi1 ! local scalars 623 REAL(wp) :: zvwk, zvwk1, zvwj, zvwj1 ! - - 624 REAL(wp), POINTER, DIMENSION(:,:,:) :: zpsi_uw, zpsi_vw 625 !!---------------------------------------------------------------------- 626 ! 627 IF( nn_timing == 1 ) CALL timing_start( 'ldf_eiv_trp') 628 ! 629 CALL wrk_alloc( jpi,jpj,jpk, zpsi_uw, zpsi_vw ) 630 631 IF( kt == kit000 ) THEN 632 IF(lwp) WRITE(numout,*) 633 IF(lwp) WRITE(numout,*) 'ldf_eiv_trp : eddy induced advection on ', cdtype,' :' 634 IF(lwp) WRITE(numout,*) '~~~~~~~~~~~ add to velocity fields the eiv component' 635 ENDIF 636 165 637 166 ENDIF 167 #endif 168 169 #if defined key_traldf_smag && ! defined key_traldf_c3d 170 CALL ctl_stop( 'key_traldf_smag can only be used with key_traldf_c3d' ) 171 #endif 172 #if defined key_traldf_smag 173 IF(lwp) WRITE(numout,*)' SMAGORINSKY DIFFUSION' 174 IF(lwp .AND. rn_smsh < 1) WRITE(numout,*)' only shear is used ' 175 IF(lwp.and.ln_traldf_bilap) CALL ctl_stop(' SMAGORINSKY + BILAPLACIAN - UNSTABLE OR NON_CONSERVATIVE' ) 176 #endif 177 178 ! 179 END SUBROUTINE ldf_tra_init 180 181 #if defined key_traldf_c3d 182 # include "ldftra_c3d.h90" 183 #elif defined key_traldf_c2d 184 # include "ldftra_c2d.h90" 185 #elif defined key_traldf_c1d 186 # include "ldftra_c1d.h90" 187 #endif 638 zpsi_uw(:,:, 1 ) = 0._wp ; zpsi_vw(:,:, 1 ) = 0._wp 639 zpsi_uw(:,:,jpk) = 0._wp ; zpsi_vw(:,:,jpk) = 0._wp 640 ! 641 DO jk = 2, jpkm1 642 DO jj = 1, jpjm1 643 DO ji = 1, fs_jpim1 ! vector opt. 644 zpsi_uw(ji,jj,jk) = - 0.25_wp * e2u(ji,jj) * ( wslpi(ji,jj,jk ) + wslpi(ji+1,jj,jk) ) & 645 & * ( aeiu (ji,jj,jk-1) + aeiu (ji ,jj,jk) ) * umask(ji,jj,jk) 646 zpsi_vw(ji,jj,jk) = - 0.25_wp * e1v(ji,jj) * ( wslpj(ji,jj,jk ) + wslpj(ji,jj+1,jk) ) & 647 & * ( aeiv (ji,jj,jk-1) + aeiv (ji,jj ,jk) ) * vmask(ji,jj,jk) 648 END DO 649 END DO 650 END DO 651 ! 652 DO jk = 1, jpkm1 653 DO jj = 1, jpjm1 654 DO ji = 1, fs_jpim1 ! vector opt. 655 pun(ji,jj,jk) = pun(ji,jj,jk) - ( zpsi_uw(ji,jj,jk) - zpsi_uw(ji,jj,jk+1) ) 656 pvn(ji,jj,jk) = pvn(ji,jj,jk) - ( zpsi_vw(ji,jj,jk) - zpsi_vw(ji,jj,jk+1) ) 657 END DO 658 END DO 659 END DO 660 DO jk = 1, jpkm1 661 DO jj = 2, jpjm1 662 DO ji = fs_2, fs_jpim1 ! vector opt. 663 pwn(ji,jj,jk) = pwn(ji,jj,jk) + ( zpsi_uw(ji,jj,jk) - zpsi_uw(ji-1,jj ,jk) & 664 & + zpsi_vw(ji,jj,jk) - zpsi_vw(ji ,jj-1,jk) ) 665 END DO 666 END DO 667 END DO 668 ! 669 ! ! diagnose the eddy induced velocity and associated heat transport 670 IF( ln_ldfeiv_dia .AND. cdtype == 'TRA' ) CALL ldf_eiv_dia( zpsi_uw, zpsi_vw ) 671 ! 672 CALL wrk_dealloc( jpi,jpj,jpk, zpsi_uw, zpsi_vw ) 673 ! 674 IF( nn_timing == 1 ) CALL timing_stop( 'ldf_eiv_trp') 675 ! 676 END SUBROUTINE ldf_eiv_trp 677 678 679 SUBROUTINE ldf_eiv_dia( psi_uw, psi_vw ) 680 !!---------------------------------------------------------------------- 681 !! *** ROUTINE ldf_eiv_dia *** 682 !! 683 !! ** Purpose : diagnose the eddy induced velocity and its associated 684 !! vertically integrated heat transport. 685 !! 686 !! ** Method : 687 !! 688 !!---------------------------------------------------------------------- 689 REAL(wp), DIMENSION(jpi,jpj,jpk), INTENT(inout) :: psi_uw, psi_vw ! streamfunction [m3/s] 690 ! 691 INTEGER :: ji, jj, jk ! dummy loop indices 692 REAL(wp) :: zztmp ! local scalar 693 REAL(wp), DIMENSION(:,:) , POINTER :: zw2d ! 2D workspace 694 REAL(wp), DIMENSION(:,:,:), POINTER :: zw3d ! 3D workspace 695 !!---------------------------------------------------------------------- 696 ! 697 IF( nn_timing == 1 ) CALL timing_start( 'ldf_eiv_dia') 698 ! 699 ! !== eiv stream function: output ==! 700 CALL lbc_lnk( psi_uw, 'U', -1. ) ! lateral boundary condition 701 CALL lbc_lnk( psi_vw, 'V', -1. ) 702 ! 703 !!gm CALL iom_put( "psi_eiv_uw", psi_uw ) ! output 704 !!gm CALL iom_put( "psi_eiv_vw", psi_vw ) 705 ! 706 ! !== eiv velocities: calculate and output ==! 707 CALL wrk_alloc( jpi,jpj,jpk, zw3d ) 708 ! 709 zw3d(:,:,jpk) = 0._wp ! bottom value always 0 710 ! 711 DO jk = 1, jpkm1 ! e2u e3u u_eiv = -dk[psi_uw] 712 zw3d(:,:,jk) = ( psi_uw(:,:,jk+1) - psi_uw(:,:,jk) ) / ( e2u(:,:) * e3u_n(:,:,jk) ) 713 END DO 714 CALL iom_put( "uoce_eiv", zw3d ) 715 ! 716 DO jk = 1, jpkm1 ! e1v e3v v_eiv = -dk[psi_vw] 717 zw3d(:,:,jk) = ( psi_vw(:,:,jk+1) - psi_vw(:,:,jk) ) / ( e1v(:,:) * e3v_n(:,:,jk) ) 718 END DO 719 CALL iom_put( "voce_eiv", zw3d ) 720 ! 721 DO jk = 1, jpkm1 ! e1 e2 w_eiv = dk[psix] + dk[psix] 722 DO jj = 2, jpjm1 723 DO ji = fs_2, fs_jpim1 ! vector opt. 724 zw3d(ji,jj,jk) = ( psi_vw(ji,jj,jk) - psi_vw(ji ,jj-1,jk) & 725 & + psi_uw(ji,jj,jk) - psi_uw(ji-1,jj ,jk) ) / e1e2t(ji,jj) 726 END DO 727 END DO 728 END DO 729 CALL lbc_lnk( zw3d, 'T', 1. ) ! lateral boundary condition 730 CALL iom_put( "woce_eiv", zw3d ) 731 ! 732 CALL wrk_dealloc( jpi,jpj,jpk, zw3d ) 733 ! 734 ! 735 IF( lk_diaar5 ) THEN !== eiv heat transport: calculate and output ==! 736 CALL wrk_alloc( jpi,jpj, zw2d ) 737 ! 738 zztmp = 0.5_wp * rau0 * rcp 739 zw2d(:,:) = 0._wp 740 DO jk = 1, jpkm1 741 DO jj = 2, jpjm1 742 DO ji = fs_2, fs_jpim1 ! vector opt. 743 zw2d(ji,jj) = zw2d(ji,jj) + zztmp * ( psi_uw(ji,jj,jk+1) - psi_uw(ji,jj,jk) ) & 744 & * ( tsn (ji,jj,jk,jp_tem) + tsn (ji+1,jj,jk,jp_tem) ) 745 END DO 746 END DO 747 END DO 748 CALL lbc_lnk( zw2d, 'U', -1. ) 749 CALL iom_put( "ueiv_heattr", zw2d ) ! heat transport in i-direction 750 zw2d(:,:) = 0._wp 751 DO jk = 1, jpkm1 752 DO jj = 2, jpjm1 753 DO ji = fs_2, fs_jpim1 ! vector opt. 754 zw2d(ji,jj) = zw2d(ji,jj) + zztmp * ( psi_vw(ji,jj,jk+1) - psi_vw(ji,jj,jk) ) & 755 & * ( tsn (ji,jj,jk,jp_tem) + tsn (ji,jj+1,jk,jp_tem) ) 756 END DO 757 END DO 758 END DO 759 CALL lbc_lnk( zw2d, 'V', -1. ) 760 CALL iom_put( "veiv_heattr", zw2d ) ! heat transport in i-direction 761 ! 762 CALL wrk_dealloc( jpi,jpj, zw2d ) 763 ENDIF 764 ! 765 IF( nn_timing == 1 ) CALL timing_stop( 'ldf_eiv_dia') 766 ! 767 END SUBROUTINE ldf_eiv_dia 188 768 189 769 !!======================================================================
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