[3] | 1 | MODULE flo4rk |
---|
| 2 | !!====================================================================== |
---|
| 3 | !! *** MODULE flo4rk *** |
---|
| 4 | !! Ocean floats : trajectory computation using a 4th order Runge-Kutta |
---|
| 5 | !!====================================================================== |
---|
| 6 | #if defined key_floats || defined key_esopa |
---|
| 7 | !!---------------------------------------------------------------------- |
---|
| 8 | !! 'key_floats' float trajectories |
---|
| 9 | !!---------------------------------------------------------------------- |
---|
| 10 | !! flo_4rk : Compute the geographical position of floats |
---|
| 11 | !! flo_interp : interpolation |
---|
| 12 | !!---------------------------------------------------------------------- |
---|
| 13 | USE flo_oce ! ocean drifting floats |
---|
| 14 | USE oce ! ocean dynamics and tracers |
---|
| 15 | USE dom_oce ! ocean space and time domain |
---|
[16] | 16 | USE in_out_manager ! I/O manager |
---|
[3294] | 17 | USE wrk_nemo ! working array |
---|
[3] | 18 | |
---|
| 19 | IMPLICIT NONE |
---|
| 20 | PRIVATE |
---|
| 21 | |
---|
[2528] | 22 | PUBLIC flo_4rk ! routine called by floats.F90 |
---|
[3] | 23 | |
---|
[2528] | 24 | ! ! RK4 and Lagrange interpolation coefficients |
---|
| 25 | REAL(wp), DIMENSION (4) :: tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) ! |
---|
| 26 | REAL(wp), DIMENSION (4) :: tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) ! |
---|
| 27 | REAL(wp), DIMENSION (4) :: scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) ! |
---|
| 28 | REAL(wp), DIMENSION (4) :: rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! |
---|
| 29 | REAL(wp), DIMENSION (3) :: scoef1 = (/ 0.5 , 0.5 , 1.0 /) ! |
---|
| 30 | |
---|
| 31 | !! * Substitutions |
---|
| 32 | # include "domzgr_substitute.h90" |
---|
[3] | 33 | !!---------------------------------------------------------------------- |
---|
[2528] | 34 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
[6486] | 35 | !! $Id$ |
---|
[2528] | 36 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 37 | !!---------------------------------------------------------------------- |
---|
| 38 | CONTAINS |
---|
| 39 | |
---|
| 40 | SUBROUTINE flo_4rk( kt ) |
---|
| 41 | !!---------------------------------------------------------------------- |
---|
| 42 | !! *** ROUTINE flo_4rk *** |
---|
| 43 | !! |
---|
| 44 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
---|
| 45 | !! of each float at each time step. |
---|
| 46 | !! |
---|
| 47 | !! ** Method : The position of a float is computed with a 4th order |
---|
| 48 | !! Runge-Kutta scheme and and Lagrange interpolation. |
---|
| 49 | !! We need to know the velocity field, the old positions of the |
---|
| 50 | !! floats and the grid defined on the domain. |
---|
[2528] | 51 | !!---------------------------------------------------------------------- |
---|
| 52 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
[3] | 53 | !! |
---|
| 54 | INTEGER :: jfl, jind ! dummy loop indices |
---|
[3294] | 55 | INTEGER :: ierror ! error value |
---|
| 56 | |
---|
| 57 | REAL(wp), POINTER, DIMENSION(:) :: zgifl , zgjfl , zgkfl ! index RK positions |
---|
| 58 | REAL(wp), POINTER, DIMENSION(:) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
---|
| 59 | REAL(wp), POINTER, DIMENSION(:,:) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
---|
[3] | 60 | !!--------------------------------------------------------------------- |
---|
[3294] | 61 | CALL wrk_alloc( jpnfl, zgifl , zgjfl , zgkfl , zufl, zvfl, zwfl) |
---|
| 62 | CALL wrk_alloc( jpnfl, 4, zrkxfl, zrkyfl, zrkzfl ) |
---|
| 63 | ! |
---|
| 64 | IF( ierror /= 0 ) THEN |
---|
| 65 | WRITE(numout,*) 'flo_4rk: allocation of workspace arrays failed' |
---|
| 66 | ENDIF |
---|
| 67 | |
---|
[3] | 68 | |
---|
| 69 | IF( kt == nit000 ) THEN |
---|
| 70 | IF(lwp) WRITE(numout,*) |
---|
| 71 | IF(lwp) WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
---|
| 72 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
---|
| 73 | ENDIF |
---|
| 74 | |
---|
| 75 | ! Verification of the floats positions. If one of them leave the domain |
---|
| 76 | ! domain we replace the float near the border. |
---|
| 77 | DO jfl = 1, jpnfl |
---|
| 78 | ! i-direction |
---|
| 79 | IF( tpifl(jfl) <= 1.5 ) THEN |
---|
| 80 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 81 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
---|
| 82 | tpifl(jfl) = tpifl(jfl) + 1. |
---|
| 83 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
---|
| 84 | ENDIF |
---|
| 85 | |
---|
| 86 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
---|
| 87 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 88 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
---|
| 89 | tpifl(jfl) = tpifl(jfl) - 1. |
---|
| 90 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
---|
| 91 | ENDIF |
---|
| 92 | ! j-direction |
---|
| 93 | IF( tpjfl(jfl) <= 1.5 ) THEN |
---|
| 94 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 95 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
---|
| 96 | tpjfl(jfl) = tpjfl(jfl) + 1. |
---|
| 97 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
---|
| 98 | ENDIF |
---|
| 99 | |
---|
| 100 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
---|
| 101 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 102 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
---|
| 103 | tpjfl(jfl) = tpjfl(jfl) - 1. |
---|
| 104 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
---|
| 105 | ENDIF |
---|
| 106 | ! k-direction |
---|
| 107 | IF( tpkfl(jfl) <= .5 ) THEN |
---|
| 108 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 109 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
---|
| 110 | tpkfl(jfl) = tpkfl(jfl) + 1. |
---|
| 111 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
---|
| 112 | ENDIF |
---|
| 113 | |
---|
| 114 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
---|
| 115 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 116 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
---|
| 117 | tpkfl(jfl) = tpkfl(jfl) - 1. |
---|
| 118 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
---|
| 119 | ENDIF |
---|
| 120 | END DO |
---|
| 121 | |
---|
| 122 | ! 4 steps of Runge-Kutta algorithme |
---|
| 123 | ! initialisation of the positions |
---|
| 124 | |
---|
| 125 | DO jfl = 1, jpnfl |
---|
| 126 | zgifl(jfl) = tpifl(jfl) |
---|
| 127 | zgjfl(jfl) = tpjfl(jfl) |
---|
| 128 | zgkfl(jfl) = tpkfl(jfl) |
---|
| 129 | END DO |
---|
| 130 | |
---|
[2528] | 131 | DO jind = 1, 4 |
---|
| 132 | |
---|
[3] | 133 | ! for each step we compute the compute the velocity with Lagrange interpolation |
---|
[2528] | 134 | CALL flo_interp( zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
---|
[3] | 135 | |
---|
| 136 | ! computation of Runge-Kutta factor |
---|
| 137 | DO jfl = 1, jpnfl |
---|
| 138 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
---|
| 139 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
---|
| 140 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
---|
| 141 | END DO |
---|
| 142 | IF( jind /= 4 ) THEN |
---|
| 143 | DO jfl = 1, jpnfl |
---|
| 144 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
---|
| 145 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
---|
| 146 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
---|
| 147 | END DO |
---|
| 148 | ENDIF |
---|
| 149 | END DO |
---|
| 150 | DO jind = 1, 4 |
---|
| 151 | DO jfl = 1, jpnfl |
---|
| 152 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
---|
| 153 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
---|
| 154 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
---|
| 155 | END DO |
---|
| 156 | END DO |
---|
[2528] | 157 | ! |
---|
[3294] | 158 | CALL wrk_dealloc( jpnfl, zgifl , zgjfl , zgkfl , zufl, zvfl, zwfl) |
---|
| 159 | CALL wrk_dealloc( jpnfl, 4, zrkxfl, zrkyfl, zrkzfl ) |
---|
| 160 | ! |
---|
[3] | 161 | END SUBROUTINE flo_4rk |
---|
| 162 | |
---|
| 163 | |
---|
| 164 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
---|
[2528] | 165 | & pufl, pvfl, pwfl, ki ) |
---|
[3] | 166 | !!---------------------------------------------------------------------- |
---|
| 167 | !! *** ROUTINE flointerp *** |
---|
| 168 | !! |
---|
| 169 | !! ** Purpose : Interpolation of the velocity on the float position |
---|
| 170 | !! |
---|
| 171 | !! ** Method : Lagrange interpolation with the 64 neighboring |
---|
| 172 | !! points. This routine is call 4 time at each time step to |
---|
| 173 | !! compute velocity at the date and the position we need to |
---|
| 174 | !! integrated with RK method. |
---|
[2528] | 175 | !!---------------------------------------------------------------------- |
---|
| 176 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
---|
| 177 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
---|
| 178 | INTEGER , INTENT(in ) :: ki ! |
---|
[3] | 179 | !! |
---|
[2528] | 180 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
---|
| 181 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
---|
[3294] | 182 | INTEGER , POINTER, DIMENSION(:) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
---|
| 183 | INTEGER , POINTER, DIMENSION(:) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
---|
| 184 | INTEGER , POINTER, DIMENSION(:) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
---|
| 185 | INTEGER , POINTER, DIMENSION(:,:) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
---|
| 186 | INTEGER , POINTER, DIMENSION(:,:) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
---|
| 187 | INTEGER , POINTER, DIMENSION(:,:) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
---|
| 188 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
---|
| 189 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxv, zlagyv, zlagzv ! - - |
---|
| 190 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxw, zlagyw, zlagzw ! - - |
---|
| 191 | REAL(wp) , POINTER, DIMENSION(:,:,:,:) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
---|
[3] | 192 | !!--------------------------------------------------------------------- |
---|
[3294] | 193 | CALL wrk_alloc( jpnfl, iilu, ijlu, iklu, iilv, ijlv, iklv, iilw, ijlw, iklw ) |
---|
| 194 | CALL wrk_alloc( jpnfl, 4, iidu, ijdu, ikdu, iidv, ijdv, ikdv, iidw, ijdw, ikdw ) |
---|
| 195 | CALL wrk_alloc( jpnfl, 4, zlagxu, zlagyu, zlagzu, zlagxv, zlagyv, zlagzv, zlagxw, zlagyw, zlagzw ) |
---|
| 196 | CALL wrk_alloc( jpnfl, 4, 4, 4, ztufl , ztvfl , ztwfl ) |
---|
| 197 | |
---|
[3] | 198 | ! Interpolation of U velocity |
---|
| 199 | |
---|
| 200 | ! nearest neightboring point for computation of u |
---|
| 201 | DO jfl = 1, jpnfl |
---|
| 202 | iilu(jfl) = INT(pxt(jfl)-.5) |
---|
| 203 | ijlu(jfl) = INT(pyt(jfl)-.5) |
---|
| 204 | iklu(jfl) = INT(pzt(jfl)) |
---|
| 205 | END DO |
---|
| 206 | |
---|
| 207 | ! 64 neightboring points for computation of u |
---|
| 208 | DO jind1 = 1, 4 |
---|
| 209 | DO jfl = 1, jpnfl |
---|
| 210 | ! i-direction |
---|
[2528] | 211 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
---|
[3] | 212 | ELSE |
---|
[2528] | 213 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
---|
| 214 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
---|
[3] | 215 | ENDIF |
---|
| 216 | ENDIF |
---|
| 217 | ! j-direction |
---|
[2528] | 218 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
---|
[3] | 219 | ELSE |
---|
[2528] | 220 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
---|
| 221 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
---|
[3] | 222 | ENDIF |
---|
| 223 | ENDIF |
---|
| 224 | ! k-direction |
---|
[2528] | 225 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
---|
[3] | 226 | ELSE |
---|
[2528] | 227 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
---|
| 228 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
---|
[3] | 229 | ENDIF |
---|
| 230 | ENDIF |
---|
| 231 | END DO |
---|
| 232 | END DO |
---|
| 233 | |
---|
| 234 | ! Lagrange coefficients |
---|
| 235 | DO jfl = 1, jpnfl |
---|
| 236 | DO jind1 = 1, 4 |
---|
| 237 | zlagxu(jfl,jind1) = 1. |
---|
| 238 | zlagyu(jfl,jind1) = 1. |
---|
| 239 | zlagzu(jfl,jind1) = 1. |
---|
| 240 | END DO |
---|
| 241 | END DO |
---|
| 242 | DO jind1 = 1, 4 |
---|
| 243 | DO jind2 = 1, 4 |
---|
| 244 | DO jfl= 1, jpnfl |
---|
| 245 | IF( jind1 /= jind2 ) THEN |
---|
| 246 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
---|
| 247 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
---|
| 248 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
---|
| 249 | ENDIF |
---|
| 250 | END DO |
---|
| 251 | END DO |
---|
| 252 | END DO |
---|
| 253 | |
---|
| 254 | ! velocity when we compute at middle time step |
---|
| 255 | |
---|
| 256 | DO jfl = 1, jpnfl |
---|
| 257 | DO jind1 = 1, 4 |
---|
| 258 | DO jind2 = 1, 4 |
---|
| 259 | DO jind3 = 1, 4 |
---|
| 260 | ztufl(jfl,jind1,jind2,jind3) = & |
---|
[2528] | 261 | & ( tcoef1(ki) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
---|
| 262 | & tcoef2(ki) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
---|
[3] | 263 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
---|
| 264 | END DO |
---|
| 265 | END DO |
---|
| 266 | END DO |
---|
| 267 | |
---|
| 268 | zsumu = 0. |
---|
| 269 | DO jind1 = 1, 4 |
---|
| 270 | DO jind2 = 1, 4 |
---|
| 271 | DO jind3 = 1, 4 |
---|
| 272 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
---|
| 273 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
---|
| 274 | END DO |
---|
| 275 | END DO |
---|
| 276 | END DO |
---|
| 277 | pufl(jfl) = zsumu |
---|
| 278 | END DO |
---|
| 279 | |
---|
| 280 | ! Interpolation of V velocity |
---|
| 281 | |
---|
| 282 | ! nearest neightboring point for computation of v |
---|
| 283 | DO jfl = 1, jpnfl |
---|
| 284 | iilv(jfl) = INT(pxt(jfl)-.5) |
---|
| 285 | ijlv(jfl) = INT(pyt(jfl)-.5) |
---|
| 286 | iklv(jfl) = INT(pzt(jfl)) |
---|
| 287 | END DO |
---|
| 288 | |
---|
| 289 | ! 64 neightboring points for computation of v |
---|
| 290 | DO jind1 = 1, 4 |
---|
| 291 | DO jfl = 1, jpnfl |
---|
| 292 | ! i-direction |
---|
[2528] | 293 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
---|
[3] | 294 | ELSE |
---|
[2528] | 295 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
---|
| 296 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
---|
[3] | 297 | ENDIF |
---|
| 298 | ENDIF |
---|
| 299 | ! j-direction |
---|
[2528] | 300 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
---|
[3] | 301 | ELSE |
---|
[2528] | 302 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
---|
| 303 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
---|
[3] | 304 | ENDIF |
---|
| 305 | ENDIF |
---|
| 306 | ! k-direction |
---|
[2528] | 307 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
---|
[3] | 308 | ELSE |
---|
[2528] | 309 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
---|
| 310 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
---|
[3] | 311 | ENDIF |
---|
| 312 | ENDIF |
---|
| 313 | END DO |
---|
| 314 | END DO |
---|
| 315 | |
---|
| 316 | ! Lagrange coefficients |
---|
| 317 | |
---|
| 318 | DO jfl = 1, jpnfl |
---|
| 319 | DO jind1 = 1, 4 |
---|
| 320 | zlagxv(jfl,jind1) = 1. |
---|
| 321 | zlagyv(jfl,jind1) = 1. |
---|
| 322 | zlagzv(jfl,jind1) = 1. |
---|
| 323 | END DO |
---|
| 324 | END DO |
---|
| 325 | |
---|
| 326 | DO jind1 = 1, 4 |
---|
| 327 | DO jind2 = 1, 4 |
---|
| 328 | DO jfl = 1, jpnfl |
---|
| 329 | IF( jind1 /= jind2 ) THEN |
---|
[2528] | 330 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
---|
[3] | 331 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
---|
[2528] | 332 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
---|
[3] | 333 | ENDIF |
---|
| 334 | END DO |
---|
| 335 | END DO |
---|
| 336 | END DO |
---|
| 337 | |
---|
| 338 | ! velocity when we compute at middle time step |
---|
| 339 | |
---|
| 340 | DO jfl = 1, jpnfl |
---|
| 341 | DO jind1 = 1, 4 |
---|
| 342 | DO jind2 = 1, 4 |
---|
| 343 | DO jind3 = 1 ,4 |
---|
| 344 | ztvfl(jfl,jind1,jind2,jind3)= & |
---|
[2528] | 345 | & ( tcoef1(ki) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
---|
| 346 | & tcoef2(ki) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
---|
[3] | 347 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
---|
| 348 | END DO |
---|
| 349 | END DO |
---|
| 350 | END DO |
---|
| 351 | |
---|
| 352 | zsumv=0. |
---|
| 353 | DO jind1 = 1, 4 |
---|
| 354 | DO jind2 = 1, 4 |
---|
| 355 | DO jind3 = 1, 4 |
---|
| 356 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
---|
| 357 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
---|
| 358 | END DO |
---|
| 359 | END DO |
---|
| 360 | END DO |
---|
| 361 | pvfl(jfl) = zsumv |
---|
| 362 | END DO |
---|
| 363 | |
---|
| 364 | ! Interpolation of W velocity |
---|
| 365 | |
---|
| 366 | ! nearest neightboring point for computation of w |
---|
| 367 | DO jfl = 1, jpnfl |
---|
[2528] | 368 | iilw(jfl) = INT( pxt(jfl) ) |
---|
| 369 | ijlw(jfl) = INT( pyt(jfl) ) |
---|
| 370 | iklw(jfl) = INT( pzt(jfl)+.5) |
---|
[3] | 371 | END DO |
---|
| 372 | |
---|
| 373 | ! 64 neightboring points for computation of w |
---|
| 374 | DO jind1 = 1, 4 |
---|
| 375 | DO jfl = 1, jpnfl |
---|
| 376 | ! i-direction |
---|
[2528] | 377 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
---|
[3] | 378 | ELSE |
---|
[2528] | 379 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
---|
| 380 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
---|
[3] | 381 | ENDIF |
---|
| 382 | ENDIF |
---|
| 383 | ! j-direction |
---|
[2528] | 384 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
---|
[3] | 385 | ELSE |
---|
[2528] | 386 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
---|
| 387 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
---|
[3] | 388 | ENDIF |
---|
| 389 | ENDIF |
---|
| 390 | ! k-direction |
---|
[2528] | 391 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
---|
[3] | 392 | ELSE |
---|
[2528] | 393 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
---|
| 394 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
---|
[3] | 395 | ENDIF |
---|
| 396 | ENDIF |
---|
| 397 | END DO |
---|
| 398 | END DO |
---|
| 399 | DO jind1 = 1, 4 |
---|
| 400 | DO jfl = 1, jpnfl |
---|
[2528] | 401 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
---|
[3] | 402 | ELSE |
---|
[2528] | 403 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
---|
| 404 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
---|
[3] | 405 | ENDIF |
---|
| 406 | ENDIF |
---|
| 407 | END DO |
---|
| 408 | END DO |
---|
| 409 | |
---|
| 410 | ! Lagrange coefficients for w interpolation |
---|
| 411 | DO jfl = 1, jpnfl |
---|
| 412 | DO jind1 = 1, 4 |
---|
| 413 | zlagxw(jfl,jind1) = 1. |
---|
| 414 | zlagyw(jfl,jind1) = 1. |
---|
| 415 | zlagzw(jfl,jind1) = 1. |
---|
| 416 | END DO |
---|
| 417 | END DO |
---|
| 418 | DO jind1 = 1, 4 |
---|
| 419 | DO jind2 = 1, 4 |
---|
| 420 | DO jfl = 1, jpnfl |
---|
| 421 | IF( jind1 /= jind2 ) THEN |
---|
[2528] | 422 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
---|
| 423 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
---|
[3] | 424 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
---|
| 425 | ENDIF |
---|
| 426 | END DO |
---|
| 427 | END DO |
---|
| 428 | END DO |
---|
| 429 | |
---|
| 430 | ! velocity w when we compute at middle time step |
---|
| 431 | DO jfl = 1, jpnfl |
---|
| 432 | DO jind1 = 1, 4 |
---|
| 433 | DO jind2 = 1, 4 |
---|
| 434 | DO jind3 = 1, 4 |
---|
| 435 | ztwfl(jfl,jind1,jind2,jind3)= & |
---|
[2528] | 436 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
---|
| 437 | & tcoef2(ki) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
---|
| 438 | & / fse3w(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) |
---|
[3] | 439 | END DO |
---|
| 440 | END DO |
---|
| 441 | END DO |
---|
| 442 | |
---|
[2528] | 443 | zsumw = 0.e0 |
---|
[3] | 444 | DO jind1 = 1, 4 |
---|
| 445 | DO jind2 = 1, 4 |
---|
| 446 | DO jind3 = 1, 4 |
---|
| 447 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
---|
| 448 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
---|
| 449 | END DO |
---|
| 450 | END DO |
---|
| 451 | END DO |
---|
| 452 | pwfl(jfl) = zsumw |
---|
| 453 | END DO |
---|
[2528] | 454 | ! |
---|
[3294] | 455 | CALL wrk_dealloc( jpnfl, iilu, ijlu, iklu, iilv, ijlv, iklv, iilw, ijlw, iklw ) |
---|
| 456 | CALL wrk_dealloc( jpnfl, 4, iidu, ijdu, ikdu, iidv, ijdv, ikdv, iidw, ijdw, ikdw ) |
---|
| 457 | CALL wrk_dealloc( jpnfl, 4, zlagxu, zlagyu, zlagzu, zlagxv, zlagyv, zlagzv, zlagxw, zlagyw, zlagzw ) |
---|
| 458 | CALL wrk_dealloc( jpnfl, 4, 4, 4, ztufl , ztvfl , ztwfl ) |
---|
| 459 | ! |
---|
[3] | 460 | END SUBROUTINE flo_interp |
---|
| 461 | |
---|
| 462 | # else |
---|
| 463 | !!---------------------------------------------------------------------- |
---|
[2528] | 464 | !! No floats Dummy module |
---|
[3] | 465 | !!---------------------------------------------------------------------- |
---|
| 466 | #endif |
---|
| 467 | |
---|
| 468 | !!====================================================================== |
---|
| 469 | END MODULE flo4rk |
---|