[3] | 1 | MODULE ldfeiv |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE ldfeiv *** |
---|
| 4 | !! Ocean physics: variable eddy induced velocity coefficients |
---|
| 5 | !!====================================================================== |
---|
[2528] | 6 | !! History : OPA ! 1999-03 (G. Madec, A. Jouzeau) Original code |
---|
| 7 | !! NEMO 1.0 ! 2002-06 (G. Madec) Free form, F90 |
---|
| 8 | !!---------------------------------------------------------------------- |
---|
[3] | 9 | #if defined key_traldf_eiv && defined key_traldf_c2d |
---|
| 10 | !!---------------------------------------------------------------------- |
---|
| 11 | !! 'key_traldf_eiv' and eddy induced velocity |
---|
| 12 | !! 'key_traldf_c2d' 2D tracer lateral mixing coef. |
---|
| 13 | !!---------------------------------------------------------------------- |
---|
| 14 | !! ldf_eiv : compute the eddy induced velocity coefficients |
---|
| 15 | !!---------------------------------------------------------------------- |
---|
| 16 | USE oce ! ocean dynamics and tracers |
---|
| 17 | USE dom_oce ! ocean space and time domain |
---|
[888] | 18 | USE sbc_oce ! surface boundary condition: ocean |
---|
| 19 | USE sbcrnf ! river runoffs |
---|
[3] | 20 | USE ldftra_oce ! ocean tracer lateral physics |
---|
| 21 | USE phycst ! physical constants |
---|
| 22 | USE ldfslp ! iso-neutral slopes |
---|
| 23 | USE in_out_manager ! I/O manager |
---|
| 24 | USE lbclnk ! ocean lateral boundary conditions (or mpp link) |
---|
[258] | 25 | USE prtctl ! Print control |
---|
[2528] | 26 | USE iom ! I/O library |
---|
[3155] | 27 | USE wrk_nemo_2 ! work arrays |
---|
[3] | 28 | |
---|
| 29 | IMPLICIT NONE |
---|
| 30 | PRIVATE |
---|
| 31 | |
---|
[2528] | 32 | PUBLIC ldf_eiv ! routine called by step.F90 |
---|
| 33 | |
---|
[3] | 34 | !! * Substitutions |
---|
| 35 | # include "domzgr_substitute.h90" |
---|
| 36 | # include "vectopt_loop_substitute.h90" |
---|
| 37 | !!---------------------------------------------------------------------- |
---|
[2528] | 38 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
| 39 | !! $Id$ |
---|
| 40 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
| 41 | !!---------------------------------------------------------------------- |
---|
[3] | 42 | CONTAINS |
---|
| 43 | |
---|
| 44 | SUBROUTINE ldf_eiv( kt ) |
---|
| 45 | !!---------------------------------------------------------------------- |
---|
| 46 | !! *** ROUTINE ldf_eiv *** |
---|
| 47 | !! |
---|
| 48 | !! ** Purpose : Compute the eddy induced velocity coefficient from the |
---|
[2528] | 49 | !! growth rate of baroclinic instability. |
---|
[3] | 50 | !! |
---|
| 51 | !! ** Method : |
---|
| 52 | !! |
---|
[2528] | 53 | !! ** Action : - uslp , vslp : i- and j-slopes of neutral surfaces at u- & v-points |
---|
| 54 | !! - wslpi, wslpj : i- and j-slopes of neutral surfaces at w-points. |
---|
| 55 | !!---------------------------------------------------------------------- |
---|
| 56 | INTEGER, INTENT(in) :: kt ! ocean time-step inedx |
---|
[2715] | 57 | ! |
---|
[2528] | 58 | INTEGER :: ji, jj, jk ! dummy loop indices |
---|
| 59 | REAL(wp) :: zfw, ze3w, zn2, zf20, zaht, zaht_min ! temporary scalars |
---|
[3155] | 60 | REAL(wp), DIMENSION(:,:), POINTER :: zn, zah, zhw, zross ! 2D workspace |
---|
[3] | 61 | !!---------------------------------------------------------------------- |
---|
| 62 | |
---|
[3155] | 63 | CALL wrk_alloc( jpi,jpj, zn, zah, zhw, zross ) |
---|
[2715] | 64 | |
---|
[3] | 65 | IF( kt == nit000 ) THEN |
---|
| 66 | IF(lwp) WRITE(numout,*) |
---|
| 67 | IF(lwp) WRITE(numout,*) 'ldf_eiv : eddy induced velocity coefficients' |
---|
| 68 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
---|
| 69 | ENDIF |
---|
| 70 | |
---|
| 71 | ! 0. Local initialization |
---|
| 72 | ! ----------------------- |
---|
[2528] | 73 | zn (:,:) = 0._wp |
---|
| 74 | zhw (:,:) = 5._wp |
---|
| 75 | zah (:,:) = 0._wp |
---|
| 76 | zross(:,:) = 0._wp |
---|
[3] | 77 | |
---|
| 78 | |
---|
| 79 | ! 1. Compute lateral diffusive coefficient |
---|
| 80 | ! ---------------------------------------- |
---|
[2528] | 81 | IF( ln_traldf_grif ) THEN |
---|
| 82 | DO jk = 1, jpk |
---|
[789] | 83 | # if defined key_vectopt_loop |
---|
[3] | 84 | !CDIR NOVERRCHK |
---|
[2528] | 85 | DO ji = 1, jpij ! vector opt. |
---|
| 86 | ! Take the max of N^2 and zero then take the vertical sum |
---|
| 87 | ! of the square root of the resulting N^2 ( required to compute |
---|
| 88 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
---|
| 89 | zn2 = MAX( rn2b(ji,1,jk), 0._wp ) |
---|
| 90 | zn(ji,1) = zn(ji,1) + SQRT( zn2 ) * fse3w(ji,1,jk) |
---|
| 91 | ! Compute elements required for the inverse time scale of baroclinic |
---|
| 92 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
---|
| 93 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
---|
| 94 | ze3w = fse3w(ji,1,jk) * tmask(ji,1,jk) |
---|
| 95 | zah(ji,1) = zah(ji,1) + zn2 * wslp2(ji,1,jk) * ze3w |
---|
| 96 | zhw(ji,1) = zhw(ji,1) + ze3w |
---|
| 97 | END DO |
---|
[80] | 98 | # else |
---|
[2528] | 99 | DO jj = 2, jpjm1 |
---|
[3] | 100 | !CDIR NOVERRCHK |
---|
[2528] | 101 | DO ji = 2, jpim1 |
---|
| 102 | ! Take the max of N^2 and zero then take the vertical sum |
---|
| 103 | ! of the square root of the resulting N^2 ( required to compute |
---|
| 104 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
---|
| 105 | zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) |
---|
| 106 | zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * fse3w(ji,jj,jk) |
---|
| 107 | ! Compute elements required for the inverse time scale of baroclinic |
---|
| 108 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
---|
| 109 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
---|
| 110 | ze3w = fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 111 | zah(ji,jj) = zah(ji,jj) + zn2 * wslp2(ji,jj,jk) * ze3w |
---|
| 112 | zhw(ji,jj) = zhw(ji,jj) + ze3w |
---|
| 113 | END DO |
---|
| 114 | END DO |
---|
| 115 | # endif |
---|
| 116 | END DO |
---|
| 117 | ELSE |
---|
| 118 | DO jk = 1, jpk |
---|
| 119 | # if defined key_vectopt_loop |
---|
| 120 | !CDIR NOVERRCHK |
---|
| 121 | DO ji = 1, jpij ! vector opt. |
---|
| 122 | ! Take the max of N^2 and zero then take the vertical sum |
---|
| 123 | ! of the square root of the resulting N^2 ( required to compute |
---|
| 124 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
---|
| 125 | zn2 = MAX( rn2b(ji,1,jk), 0._wp ) |
---|
| 126 | zn(ji,1) = zn(ji,1) + SQRT( zn2 ) * fse3w(ji,1,jk) |
---|
[3] | 127 | ! Compute elements required for the inverse time scale of baroclinic |
---|
[2528] | 128 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
---|
[3] | 129 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
---|
[2528] | 130 | ze3w = fse3w(ji,1,jk) * tmask(ji,1,jk) |
---|
| 131 | zah(ji,1) = zah(ji,1) + zn2 * ( wslpi(ji,1,jk) * wslpi(ji,1,jk) & |
---|
| 132 | & + wslpj(ji,1,jk) * wslpj(ji,1,jk) ) * ze3w |
---|
| 133 | zhw(ji,1) = zhw(ji,1) + ze3w |
---|
| 134 | END DO |
---|
| 135 | # else |
---|
| 136 | DO jj = 2, jpjm1 |
---|
| 137 | !CDIR NOVERRCHK |
---|
| 138 | DO ji = 2, jpim1 |
---|
| 139 | ! Take the max of N^2 and zero then take the vertical sum |
---|
| 140 | ! of the square root of the resulting N^2 ( required to compute |
---|
| 141 | ! internal Rossby radius Ro = .5 * sum_jpk(N) / f |
---|
| 142 | zn2 = MAX( rn2b(ji,jj,jk), 0._wp ) |
---|
| 143 | zn(ji,jj) = zn(ji,jj) + SQRT( zn2 ) * fse3w(ji,jj,jk) |
---|
| 144 | ! Compute elements required for the inverse time scale of baroclinic |
---|
| 145 | ! eddies using the isopycnal slopes calculated in ldfslp.F : |
---|
| 146 | ! T^-1 = sqrt(m_jpk(N^2*(r1^2+r2^2)*e3w)) |
---|
| 147 | ze3w = fse3w(ji,jj,jk) * tmask(ji,jj,jk) |
---|
| 148 | zah(ji,jj) = zah(ji,jj) + zn2 * ( wslpi(ji,jj,jk) * wslpi(ji,jj,jk) & |
---|
| 149 | & + wslpj(ji,jj,jk) * wslpj(ji,jj,jk) ) * ze3w |
---|
| 150 | zhw(ji,jj) = zhw(ji,jj) + ze3w |
---|
| 151 | END DO |
---|
| 152 | END DO |
---|
[80] | 153 | # endif |
---|
[2528] | 154 | END DO |
---|
| 155 | END IF |
---|
[3] | 156 | |
---|
| 157 | DO jj = 2, jpjm1 |
---|
| 158 | !CDIR NOVERRCHK |
---|
| 159 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 160 | zfw = MAX( ABS( 2. * omega * SIN( rad * gphit(ji,jj) ) ) , 1.e-10 ) |
---|
| 161 | ! Rossby radius at w-point taken < 40km and > 2km |
---|
| 162 | zross(ji,jj) = MAX( MIN( .4 * zn(ji,jj) / zfw, 40.e3 ), 2.e3 ) |
---|
| 163 | ! Compute aeiw by multiplying Ro^2 and T^-1 |
---|
| 164 | aeiw(ji,jj) = zross(ji,jj) * zross(ji,jj) * SQRT( zah(ji,jj) / zhw(ji,jj) ) * tmask(ji,jj,1) |
---|
[895] | 165 | END DO |
---|
| 166 | END DO |
---|
| 167 | |
---|
[2528] | 168 | IF( cp_cfg == "orca" .AND. jp_cfg == 2 ) THEN ! ORCA R2 |
---|
[895] | 169 | DO jj = 2, jpjm1 |
---|
| 170 | !CDIR NOVERRCHK |
---|
| 171 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 172 | ! Take the minimum between aeiw and 1000 m2/s over shelves (depth shallower than 650 m) |
---|
| 173 | IF( mbkt(ji,jj) <= 20 ) aeiw(ji,jj) = MIN( aeiw(ji,jj), 1000. ) |
---|
[895] | 174 | END DO |
---|
[3] | 175 | END DO |
---|
[895] | 176 | ENDIF |
---|
[3] | 177 | |
---|
| 178 | ! Decrease the coefficient in the tropics (20N-20S) |
---|
[2528] | 179 | zf20 = 2._wp * omega * sin( rad * 20._wp ) |
---|
[3] | 180 | DO jj = 2, jpjm1 |
---|
| 181 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
| 182 | aeiw(ji,jj) = MIN( 1., ABS( ff(ji,jj) / zf20 ) ) * aeiw(ji,jj) |
---|
| 183 | END DO |
---|
| 184 | END DO |
---|
| 185 | |
---|
[605] | 186 | ! ORCA R05: Take the minimum between aeiw and aeiv0 |
---|
[3] | 187 | IF( cp_cfg == "orca" .AND. jp_cfg == 05 ) THEN |
---|
| 188 | DO jj = 2, jpjm1 |
---|
| 189 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[28] | 190 | aeiw(ji,jj) = MIN( aeiw(ji,jj), aeiv0 ) |
---|
[3] | 191 | END DO |
---|
| 192 | END DO |
---|
| 193 | ENDIF |
---|
[2528] | 194 | CALL lbc_lnk( aeiw, 'W', 1. ) ! lateral boundary condition on aeiw |
---|
[3] | 195 | |
---|
| 196 | |
---|
| 197 | ! Average the diffusive coefficient at u- v- points |
---|
| 198 | DO jj = 2, jpjm1 |
---|
| 199 | DO ji = fs_2, fs_jpim1 ! vector opt. |
---|
[2528] | 200 | aeiu(ji,jj) = 0.5_wp * ( aeiw(ji,jj) + aeiw(ji+1,jj ) ) |
---|
| 201 | aeiv(ji,jj) = 0.5_wp * ( aeiw(ji,jj) + aeiw(ji ,jj+1) ) |
---|
[3] | 202 | END DO |
---|
| 203 | END DO |
---|
[2528] | 204 | CALL lbc_lnk( aeiu, 'U', 1. ) ; CALL lbc_lnk( aeiv, 'V', 1. ) ! lateral boundary condition |
---|
[3] | 205 | |
---|
| 206 | |
---|
[2528] | 207 | IF(ln_ctl) THEN |
---|
[258] | 208 | CALL prt_ctl(tab2d_1=aeiu, clinfo1=' eiv - u: ', ovlap=1) |
---|
| 209 | CALL prt_ctl(tab2d_1=aeiv, clinfo1=' eiv - v: ', ovlap=1) |
---|
| 210 | ENDIF |
---|
[80] | 211 | |
---|
[3] | 212 | ! ORCA R05: add a space variation on aht (=aeiv except at the equator and river mouth) |
---|
| 213 | IF( cp_cfg == "orca" .AND. jp_cfg == 05 ) THEN |
---|
[2528] | 214 | zf20 = 2._wp * omega * SIN( rad * 20._wp ) |
---|
| 215 | zaht_min = 100._wp ! minimum value for aht |
---|
[3] | 216 | DO jj = 1, jpj |
---|
| 217 | DO ji = 1, jpi |
---|
[2528] | 218 | zaht = ( 1._wp - MIN( 1._wp , ABS( ff(ji,jj) / zf20 ) ) ) * ( aht0 - zaht_min ) & |
---|
[888] | 219 | & + aht0 * rnfmsk(ji,jj) ! enhanced near river mouths |
---|
[80] | 220 | ahtu(ji,jj) = MAX( MAX( zaht_min, aeiu(ji,jj) ) + zaht, aht0 ) |
---|
| 221 | ahtv(ji,jj) = MAX( MAX( zaht_min, aeiv(ji,jj) ) + zaht, aht0 ) |
---|
| 222 | ahtw(ji,jj) = MAX( MAX( zaht_min, aeiw(ji,jj) ) + zaht, aht0 ) |
---|
[3] | 223 | END DO |
---|
| 224 | END DO |
---|
[258] | 225 | IF(ln_ctl) THEN |
---|
| 226 | CALL prt_ctl(tab2d_1=ahtu, clinfo1=' aht - u: ', ovlap=1) |
---|
| 227 | CALL prt_ctl(tab2d_1=ahtv, clinfo1=' aht - v: ', ovlap=1) |
---|
| 228 | CALL prt_ctl(tab2d_1=ahtw, clinfo1=' aht - w: ', ovlap=1) |
---|
[106] | 229 | ENDIF |
---|
[3] | 230 | ENDIF |
---|
[461] | 231 | |
---|
[2528] | 232 | IF( aeiv0 == 0._wp ) THEN |
---|
| 233 | aeiu(:,:) = 0._wp |
---|
| 234 | aeiv(:,:) = 0._wp |
---|
| 235 | aeiw(:,:) = 0._wp |
---|
[450] | 236 | ENDIF |
---|
[3] | 237 | |
---|
[1482] | 238 | CALL iom_put( "aht2d" , ahtw ) ! lateral eddy diffusivity |
---|
| 239 | CALL iom_put( "aht2d_eiv", aeiw ) ! EIV lateral eddy diffusivity |
---|
[2715] | 240 | ! |
---|
[3155] | 241 | CALL wrk_dealloc( jpi,jpj, zn, zah, zhw, zross ) |
---|
[2528] | 242 | ! |
---|
[3] | 243 | END SUBROUTINE ldf_eiv |
---|
| 244 | |
---|
| 245 | #else |
---|
| 246 | !!---------------------------------------------------------------------- |
---|
[28] | 247 | !! Default option Dummy module |
---|
[3] | 248 | !!---------------------------------------------------------------------- |
---|
| 249 | CONTAINS |
---|
[28] | 250 | SUBROUTINE ldf_eiv( kt ) ! Empty routine |
---|
[2715] | 251 | INTEGER :: kt |
---|
[28] | 252 | WRITE(*,*) 'ldf_eiv: You should not have seen this print! error?', kt |
---|
[3] | 253 | END SUBROUTINE ldf_eiv |
---|
| 254 | #endif |
---|
| 255 | |
---|
| 256 | !!====================================================================== |
---|
| 257 | END MODULE ldfeiv |
---|