[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 |
---|
[3] | 17 | |
---|
| 18 | IMPLICIT NONE |
---|
| 19 | PRIVATE |
---|
| 20 | |
---|
[2528] | 21 | PUBLIC flo_4rk ! routine called by floats.F90 |
---|
[3] | 22 | |
---|
[2528] | 23 | ! ! RK4 and Lagrange interpolation coefficients |
---|
| 24 | REAL(wp), DIMENSION (4) :: tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) ! |
---|
| 25 | REAL(wp), DIMENSION (4) :: tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) ! |
---|
| 26 | REAL(wp), DIMENSION (4) :: scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) ! |
---|
| 27 | REAL(wp), DIMENSION (4) :: rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! |
---|
| 28 | REAL(wp), DIMENSION (3) :: scoef1 = (/ 0.5 , 0.5 , 1.0 /) ! |
---|
| 29 | |
---|
| 30 | !! * Substitutions |
---|
| 31 | # include "domzgr_substitute.h90" |
---|
[3] | 32 | !!---------------------------------------------------------------------- |
---|
[2528] | 33 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
---|
[1152] | 34 | !! $Id$ |
---|
[2528] | 35 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
---|
[3] | 36 | !!---------------------------------------------------------------------- |
---|
| 37 | CONTAINS |
---|
| 38 | |
---|
| 39 | SUBROUTINE flo_4rk( kt ) |
---|
| 40 | !!---------------------------------------------------------------------- |
---|
| 41 | !! *** ROUTINE flo_4rk *** |
---|
| 42 | !! |
---|
| 43 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
---|
| 44 | !! of each float at each time step. |
---|
| 45 | !! |
---|
| 46 | !! ** Method : The position of a float is computed with a 4th order |
---|
| 47 | !! Runge-Kutta scheme and and Lagrange interpolation. |
---|
| 48 | !! We need to know the velocity field, the old positions of the |
---|
| 49 | !! floats and the grid defined on the domain. |
---|
[2528] | 50 | !!---------------------------------------------------------------------- |
---|
| 51 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
---|
[3] | 52 | !! |
---|
| 53 | INTEGER :: jfl, jind ! dummy loop indices |
---|
[2528] | 54 | REAL(wp), DIMENSION(jpnfl) :: zgifl , zgjfl , zgkfl ! index RK positions |
---|
| 55 | REAL(wp), DIMENSION(jpnfl) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
---|
| 56 | REAL(wp), DIMENSION(jpnfl,4) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
---|
[3] | 57 | !!--------------------------------------------------------------------- |
---|
| 58 | |
---|
| 59 | IF( kt == nit000 ) THEN |
---|
| 60 | IF(lwp) WRITE(numout,*) |
---|
| 61 | IF(lwp) WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
---|
| 62 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
---|
| 63 | ENDIF |
---|
| 64 | |
---|
| 65 | ! Verification of the floats positions. If one of them leave the domain |
---|
| 66 | ! domain we replace the float near the border. |
---|
| 67 | DO jfl = 1, jpnfl |
---|
| 68 | ! i-direction |
---|
| 69 | IF( tpifl(jfl) <= 1.5 ) THEN |
---|
| 70 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 71 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
---|
| 72 | tpifl(jfl) = tpifl(jfl) + 1. |
---|
| 73 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
---|
| 74 | ENDIF |
---|
| 75 | |
---|
| 76 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
---|
| 77 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 78 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
---|
| 79 | tpifl(jfl) = tpifl(jfl) - 1. |
---|
| 80 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
---|
| 81 | ENDIF |
---|
| 82 | ! j-direction |
---|
| 83 | IF( tpjfl(jfl) <= 1.5 ) THEN |
---|
| 84 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 85 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
---|
| 86 | tpjfl(jfl) = tpjfl(jfl) + 1. |
---|
| 87 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
---|
| 88 | ENDIF |
---|
| 89 | |
---|
| 90 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
---|
| 91 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 92 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
---|
| 93 | tpjfl(jfl) = tpjfl(jfl) - 1. |
---|
| 94 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
---|
| 95 | ENDIF |
---|
| 96 | ! k-direction |
---|
| 97 | IF( tpkfl(jfl) <= .5 ) THEN |
---|
| 98 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 99 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
---|
| 100 | tpkfl(jfl) = tpkfl(jfl) + 1. |
---|
| 101 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
---|
| 102 | ENDIF |
---|
| 103 | |
---|
| 104 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
---|
| 105 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
---|
| 106 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
---|
| 107 | tpkfl(jfl) = tpkfl(jfl) - 1. |
---|
| 108 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
---|
| 109 | ENDIF |
---|
| 110 | END DO |
---|
| 111 | |
---|
| 112 | ! 4 steps of Runge-Kutta algorithme |
---|
| 113 | ! initialisation of the positions |
---|
| 114 | |
---|
| 115 | DO jfl = 1, jpnfl |
---|
| 116 | zgifl(jfl) = tpifl(jfl) |
---|
| 117 | zgjfl(jfl) = tpjfl(jfl) |
---|
| 118 | zgkfl(jfl) = tpkfl(jfl) |
---|
| 119 | END DO |
---|
| 120 | |
---|
[2528] | 121 | DO jind = 1, 4 |
---|
| 122 | |
---|
[3] | 123 | ! for each step we compute the compute the velocity with Lagrange interpolation |
---|
[2528] | 124 | CALL flo_interp( zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
---|
[3] | 125 | |
---|
| 126 | ! computation of Runge-Kutta factor |
---|
| 127 | DO jfl = 1, jpnfl |
---|
| 128 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
---|
| 129 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
---|
| 130 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
---|
| 131 | END DO |
---|
| 132 | IF( jind /= 4 ) THEN |
---|
| 133 | DO jfl = 1, jpnfl |
---|
| 134 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
---|
| 135 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
---|
| 136 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
---|
| 137 | END DO |
---|
| 138 | ENDIF |
---|
| 139 | END DO |
---|
| 140 | DO jind = 1, 4 |
---|
| 141 | DO jfl = 1, jpnfl |
---|
| 142 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
---|
| 143 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
---|
| 144 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
---|
| 145 | END DO |
---|
| 146 | END DO |
---|
[2528] | 147 | ! |
---|
[3] | 148 | END SUBROUTINE flo_4rk |
---|
| 149 | |
---|
| 150 | |
---|
| 151 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
---|
[2528] | 152 | & pufl, pvfl, pwfl, ki ) |
---|
[3] | 153 | !!---------------------------------------------------------------------- |
---|
| 154 | !! *** ROUTINE flointerp *** |
---|
| 155 | !! |
---|
| 156 | !! ** Purpose : Interpolation of the velocity on the float position |
---|
| 157 | !! |
---|
| 158 | !! ** Method : Lagrange interpolation with the 64 neighboring |
---|
| 159 | !! points. This routine is call 4 time at each time step to |
---|
| 160 | !! compute velocity at the date and the position we need to |
---|
| 161 | !! integrated with RK method. |
---|
[2528] | 162 | !!---------------------------------------------------------------------- |
---|
| 163 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
---|
| 164 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
---|
| 165 | INTEGER , INTENT(in ) :: ki ! |
---|
[3] | 166 | !! |
---|
[2528] | 167 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
---|
| 168 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
---|
| 169 | INTEGER , DIMENSION(jpnfl) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
---|
| 170 | INTEGER , DIMENSION(jpnfl) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
---|
| 171 | INTEGER , DIMENSION(jpnfl) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
---|
| 172 | INTEGER , DIMENSION(jpnfl,4) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
---|
| 173 | INTEGER , DIMENSION(jpnfl,4) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
---|
| 174 | INTEGER , DIMENSION(jpnfl,4) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
---|
| 175 | REAL(wp) , DIMENSION(jpnfl,4,4,4) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
---|
| 176 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
---|
| 177 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxv, zlagyv, zlagzv ! - - |
---|
| 178 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxw, zlagyw, zlagzw ! - - |
---|
[3] | 179 | !!--------------------------------------------------------------------- |
---|
| 180 | |
---|
| 181 | ! Interpolation of U velocity |
---|
| 182 | |
---|
| 183 | ! nearest neightboring point for computation of u |
---|
| 184 | DO jfl = 1, jpnfl |
---|
| 185 | iilu(jfl) = INT(pxt(jfl)-.5) |
---|
| 186 | ijlu(jfl) = INT(pyt(jfl)-.5) |
---|
| 187 | iklu(jfl) = INT(pzt(jfl)) |
---|
| 188 | END DO |
---|
| 189 | |
---|
| 190 | ! 64 neightboring points for computation of u |
---|
| 191 | DO jind1 = 1, 4 |
---|
| 192 | DO jfl = 1, jpnfl |
---|
| 193 | ! i-direction |
---|
[2528] | 194 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
---|
[3] | 195 | ELSE |
---|
[2528] | 196 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
---|
| 197 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
---|
[3] | 198 | ENDIF |
---|
| 199 | ENDIF |
---|
| 200 | ! j-direction |
---|
[2528] | 201 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
---|
[3] | 202 | ELSE |
---|
[2528] | 203 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
---|
| 204 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
---|
[3] | 205 | ENDIF |
---|
| 206 | ENDIF |
---|
| 207 | ! k-direction |
---|
[2528] | 208 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
---|
[3] | 209 | ELSE |
---|
[2528] | 210 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
---|
| 211 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
---|
[3] | 212 | ENDIF |
---|
| 213 | ENDIF |
---|
| 214 | END DO |
---|
| 215 | END DO |
---|
| 216 | |
---|
| 217 | ! Lagrange coefficients |
---|
| 218 | DO jfl = 1, jpnfl |
---|
| 219 | DO jind1 = 1, 4 |
---|
| 220 | zlagxu(jfl,jind1) = 1. |
---|
| 221 | zlagyu(jfl,jind1) = 1. |
---|
| 222 | zlagzu(jfl,jind1) = 1. |
---|
| 223 | END DO |
---|
| 224 | END DO |
---|
| 225 | DO jind1 = 1, 4 |
---|
| 226 | DO jind2 = 1, 4 |
---|
| 227 | DO jfl= 1, jpnfl |
---|
| 228 | IF( jind1 /= jind2 ) THEN |
---|
| 229 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
---|
| 230 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
---|
| 231 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
---|
| 232 | ENDIF |
---|
| 233 | END DO |
---|
| 234 | END DO |
---|
| 235 | END DO |
---|
| 236 | |
---|
| 237 | ! velocity when we compute at middle time step |
---|
| 238 | |
---|
| 239 | DO jfl = 1, jpnfl |
---|
| 240 | DO jind1 = 1, 4 |
---|
| 241 | DO jind2 = 1, 4 |
---|
| 242 | DO jind3 = 1, 4 |
---|
| 243 | ztufl(jfl,jind1,jind2,jind3) = & |
---|
[2528] | 244 | & ( tcoef1(ki) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
---|
| 245 | & tcoef2(ki) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
---|
[3] | 246 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
---|
| 247 | END DO |
---|
| 248 | END DO |
---|
| 249 | END DO |
---|
| 250 | |
---|
| 251 | zsumu = 0. |
---|
| 252 | DO jind1 = 1, 4 |
---|
| 253 | DO jind2 = 1, 4 |
---|
| 254 | DO jind3 = 1, 4 |
---|
| 255 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
---|
| 256 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
---|
| 257 | END DO |
---|
| 258 | END DO |
---|
| 259 | END DO |
---|
| 260 | pufl(jfl) = zsumu |
---|
| 261 | END DO |
---|
| 262 | |
---|
| 263 | ! Interpolation of V velocity |
---|
| 264 | |
---|
| 265 | ! nearest neightboring point for computation of v |
---|
| 266 | DO jfl = 1, jpnfl |
---|
| 267 | iilv(jfl) = INT(pxt(jfl)-.5) |
---|
| 268 | ijlv(jfl) = INT(pyt(jfl)-.5) |
---|
| 269 | iklv(jfl) = INT(pzt(jfl)) |
---|
| 270 | END DO |
---|
| 271 | |
---|
| 272 | ! 64 neightboring points for computation of v |
---|
| 273 | DO jind1 = 1, 4 |
---|
| 274 | DO jfl = 1, jpnfl |
---|
| 275 | ! i-direction |
---|
[2528] | 276 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
---|
[3] | 277 | ELSE |
---|
[2528] | 278 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
---|
| 279 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
---|
[3] | 280 | ENDIF |
---|
| 281 | ENDIF |
---|
| 282 | ! j-direction |
---|
[2528] | 283 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
---|
[3] | 284 | ELSE |
---|
[2528] | 285 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
---|
| 286 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
---|
[3] | 287 | ENDIF |
---|
| 288 | ENDIF |
---|
| 289 | ! k-direction |
---|
[2528] | 290 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
---|
[3] | 291 | ELSE |
---|
[2528] | 292 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
---|
| 293 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
---|
[3] | 294 | ENDIF |
---|
| 295 | ENDIF |
---|
| 296 | END DO |
---|
| 297 | END DO |
---|
| 298 | |
---|
| 299 | ! Lagrange coefficients |
---|
| 300 | |
---|
| 301 | DO jfl = 1, jpnfl |
---|
| 302 | DO jind1 = 1, 4 |
---|
| 303 | zlagxv(jfl,jind1) = 1. |
---|
| 304 | zlagyv(jfl,jind1) = 1. |
---|
| 305 | zlagzv(jfl,jind1) = 1. |
---|
| 306 | END DO |
---|
| 307 | END DO |
---|
| 308 | |
---|
| 309 | DO jind1 = 1, 4 |
---|
| 310 | DO jind2 = 1, 4 |
---|
| 311 | DO jfl = 1, jpnfl |
---|
| 312 | IF( jind1 /= jind2 ) THEN |
---|
[2528] | 313 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
---|
[3] | 314 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
---|
[2528] | 315 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
---|
[3] | 316 | ENDIF |
---|
| 317 | END DO |
---|
| 318 | END DO |
---|
| 319 | END DO |
---|
| 320 | |
---|
| 321 | ! velocity when we compute at middle time step |
---|
| 322 | |
---|
| 323 | DO jfl = 1, jpnfl |
---|
| 324 | DO jind1 = 1, 4 |
---|
| 325 | DO jind2 = 1, 4 |
---|
| 326 | DO jind3 = 1 ,4 |
---|
| 327 | ztvfl(jfl,jind1,jind2,jind3)= & |
---|
[2528] | 328 | & ( tcoef1(ki) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
---|
| 329 | & tcoef2(ki) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
---|
[3] | 330 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
---|
| 331 | END DO |
---|
| 332 | END DO |
---|
| 333 | END DO |
---|
| 334 | |
---|
| 335 | zsumv=0. |
---|
| 336 | DO jind1 = 1, 4 |
---|
| 337 | DO jind2 = 1, 4 |
---|
| 338 | DO jind3 = 1, 4 |
---|
| 339 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
---|
| 340 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
---|
| 341 | END DO |
---|
| 342 | END DO |
---|
| 343 | END DO |
---|
| 344 | pvfl(jfl) = zsumv |
---|
| 345 | END DO |
---|
| 346 | |
---|
| 347 | ! Interpolation of W velocity |
---|
| 348 | |
---|
| 349 | ! nearest neightboring point for computation of w |
---|
| 350 | DO jfl = 1, jpnfl |
---|
[2528] | 351 | iilw(jfl) = INT( pxt(jfl) ) |
---|
| 352 | ijlw(jfl) = INT( pyt(jfl) ) |
---|
| 353 | iklw(jfl) = INT( pzt(jfl)+.5) |
---|
[3] | 354 | END DO |
---|
| 355 | |
---|
| 356 | ! 64 neightboring points for computation of w |
---|
| 357 | DO jind1 = 1, 4 |
---|
| 358 | DO jfl = 1, jpnfl |
---|
| 359 | ! i-direction |
---|
[2528] | 360 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
---|
[3] | 361 | ELSE |
---|
[2528] | 362 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
---|
| 363 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
---|
[3] | 364 | ENDIF |
---|
| 365 | ENDIF |
---|
| 366 | ! j-direction |
---|
[2528] | 367 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
---|
[3] | 368 | ELSE |
---|
[2528] | 369 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
---|
| 370 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
---|
[3] | 371 | ENDIF |
---|
| 372 | ENDIF |
---|
| 373 | ! k-direction |
---|
[2528] | 374 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
---|
[3] | 375 | ELSE |
---|
[2528] | 376 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
---|
| 377 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
---|
[3] | 378 | ENDIF |
---|
| 379 | ENDIF |
---|
| 380 | END DO |
---|
| 381 | END DO |
---|
| 382 | DO jind1 = 1, 4 |
---|
| 383 | DO jfl = 1, jpnfl |
---|
[2528] | 384 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
---|
[3] | 385 | ELSE |
---|
[2528] | 386 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
---|
| 387 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
---|
[3] | 388 | ENDIF |
---|
| 389 | ENDIF |
---|
| 390 | END DO |
---|
| 391 | END DO |
---|
| 392 | |
---|
| 393 | ! Lagrange coefficients for w interpolation |
---|
| 394 | DO jfl = 1, jpnfl |
---|
| 395 | DO jind1 = 1, 4 |
---|
| 396 | zlagxw(jfl,jind1) = 1. |
---|
| 397 | zlagyw(jfl,jind1) = 1. |
---|
| 398 | zlagzw(jfl,jind1) = 1. |
---|
| 399 | END DO |
---|
| 400 | END DO |
---|
| 401 | DO jind1 = 1, 4 |
---|
| 402 | DO jind2 = 1, 4 |
---|
| 403 | DO jfl = 1, jpnfl |
---|
| 404 | IF( jind1 /= jind2 ) THEN |
---|
[2528] | 405 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
---|
| 406 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
---|
[3] | 407 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
---|
| 408 | ENDIF |
---|
| 409 | END DO |
---|
| 410 | END DO |
---|
| 411 | END DO |
---|
| 412 | |
---|
| 413 | ! velocity w when we compute at middle time step |
---|
| 414 | DO jfl = 1, jpnfl |
---|
| 415 | DO jind1 = 1, 4 |
---|
| 416 | DO jind2 = 1, 4 |
---|
| 417 | DO jind3 = 1, 4 |
---|
| 418 | ztwfl(jfl,jind1,jind2,jind3)= & |
---|
[2528] | 419 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
---|
| 420 | & tcoef2(ki) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
---|
| 421 | & / fse3w(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) |
---|
[3] | 422 | END DO |
---|
| 423 | END DO |
---|
| 424 | END DO |
---|
| 425 | |
---|
[2528] | 426 | zsumw = 0.e0 |
---|
[3] | 427 | DO jind1 = 1, 4 |
---|
| 428 | DO jind2 = 1, 4 |
---|
| 429 | DO jind3 = 1, 4 |
---|
| 430 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
---|
| 431 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
---|
| 432 | END DO |
---|
| 433 | END DO |
---|
| 434 | END DO |
---|
| 435 | pwfl(jfl) = zsumw |
---|
| 436 | END DO |
---|
[2528] | 437 | ! |
---|
[3] | 438 | END SUBROUTINE flo_interp |
---|
| 439 | |
---|
| 440 | # else |
---|
| 441 | !!---------------------------------------------------------------------- |
---|
[2528] | 442 | !! No floats Dummy module |
---|
[3] | 443 | !!---------------------------------------------------------------------- |
---|
| 444 | #endif |
---|
| 445 | |
---|
| 446 | !!====================================================================== |
---|
| 447 | END MODULE flo4rk |
---|