[3] | 1 | MODULE flo4rk |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE flo4rk *** |
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| 4 | !! Ocean floats : trajectory computation using a 4th order Runge-Kutta |
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| 5 | !!====================================================================== |
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[5836] | 6 | #if defined key_floats |
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[3] | 7 | !!---------------------------------------------------------------------- |
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| 8 | !! 'key_floats' float trajectories |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | !! flo_4rk : Compute the geographical position of floats |
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| 11 | !! flo_interp : interpolation |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | USE flo_oce ! ocean drifting floats |
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| 14 | USE oce ! ocean dynamics and tracers |
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| 15 | USE dom_oce ! ocean space and time domain |
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[16] | 16 | USE in_out_manager ! I/O manager |
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[3294] | 17 | USE wrk_nemo ! working array |
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[3] | 18 | |
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| 19 | IMPLICIT NONE |
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| 20 | PRIVATE |
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| 21 | |
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[2528] | 22 | PUBLIC flo_4rk ! routine called by floats.F90 |
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[3] | 23 | |
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[2528] | 24 | ! ! RK4 and Lagrange interpolation coefficients |
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| 25 | REAL(wp), DIMENSION (4) :: tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) ! |
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| 26 | REAL(wp), DIMENSION (4) :: tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) ! |
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| 27 | REAL(wp), DIMENSION (4) :: scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) ! |
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| 28 | REAL(wp), DIMENSION (4) :: rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! |
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| 29 | REAL(wp), DIMENSION (3) :: scoef1 = (/ 0.5 , 0.5 , 1.0 /) ! |
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| 30 | |
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[3] | 31 | !!---------------------------------------------------------------------- |
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[2528] | 32 | !! NEMO/OPA 3.3 , NEMO Consortium (2010) |
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[1152] | 33 | !! $Id$ |
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[2528] | 34 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[3] | 35 | !!---------------------------------------------------------------------- |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | SUBROUTINE flo_4rk( kt ) |
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| 39 | !!---------------------------------------------------------------------- |
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| 40 | !! *** ROUTINE flo_4rk *** |
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| 41 | !! |
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| 42 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
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| 43 | !! of each float at each time step. |
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| 44 | !! |
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| 45 | !! ** Method : The position of a float is computed with a 4th order |
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| 46 | !! Runge-Kutta scheme and and Lagrange interpolation. |
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| 47 | !! We need to know the velocity field, the old positions of the |
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| 48 | !! floats and the grid defined on the domain. |
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[2528] | 49 | !!---------------------------------------------------------------------- |
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| 50 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[3] | 51 | !! |
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| 52 | INTEGER :: jfl, jind ! dummy loop indices |
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[3294] | 53 | INTEGER :: ierror ! error value |
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| 54 | |
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| 55 | REAL(wp), POINTER, DIMENSION(:) :: zgifl , zgjfl , zgkfl ! index RK positions |
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| 56 | REAL(wp), POINTER, DIMENSION(:) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
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| 57 | REAL(wp), POINTER, DIMENSION(:,:) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
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[3] | 58 | !!--------------------------------------------------------------------- |
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[3294] | 59 | CALL wrk_alloc( jpnfl, zgifl , zgjfl , zgkfl , zufl, zvfl, zwfl) |
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| 60 | CALL wrk_alloc( jpnfl, 4, zrkxfl, zrkyfl, zrkzfl ) |
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| 61 | ! |
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| 62 | IF( ierror /= 0 ) THEN |
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| 63 | WRITE(numout,*) 'flo_4rk: allocation of workspace arrays failed' |
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| 64 | ENDIF |
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| 65 | |
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[3] | 66 | |
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| 67 | IF( kt == nit000 ) THEN |
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| 68 | IF(lwp) WRITE(numout,*) |
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| 69 | IF(lwp) WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
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| 70 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 71 | ENDIF |
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| 72 | |
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| 73 | ! Verification of the floats positions. If one of them leave the domain |
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| 74 | ! domain we replace the float near the border. |
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| 75 | DO jfl = 1, jpnfl |
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| 76 | ! i-direction |
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| 77 | IF( tpifl(jfl) <= 1.5 ) THEN |
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| 78 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 79 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
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| 80 | tpifl(jfl) = tpifl(jfl) + 1. |
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| 81 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
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| 82 | ENDIF |
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| 83 | |
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| 84 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
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| 85 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 86 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
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| 87 | tpifl(jfl) = tpifl(jfl) - 1. |
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| 88 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
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| 89 | ENDIF |
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| 90 | ! j-direction |
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| 91 | IF( tpjfl(jfl) <= 1.5 ) THEN |
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| 92 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 93 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
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| 94 | tpjfl(jfl) = tpjfl(jfl) + 1. |
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| 95 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 96 | ENDIF |
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| 97 | |
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| 98 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
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| 99 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 100 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
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| 101 | tpjfl(jfl) = tpjfl(jfl) - 1. |
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| 102 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 103 | ENDIF |
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| 104 | ! k-direction |
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| 105 | IF( tpkfl(jfl) <= .5 ) THEN |
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| 106 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 107 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
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| 108 | tpkfl(jfl) = tpkfl(jfl) + 1. |
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| 109 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 110 | ENDIF |
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| 111 | |
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| 112 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
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| 113 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 114 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
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| 115 | tpkfl(jfl) = tpkfl(jfl) - 1. |
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| 116 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 117 | ENDIF |
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| 118 | END DO |
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| 119 | |
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| 120 | ! 4 steps of Runge-Kutta algorithme |
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| 121 | ! initialisation of the positions |
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| 122 | |
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| 123 | DO jfl = 1, jpnfl |
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| 124 | zgifl(jfl) = tpifl(jfl) |
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| 125 | zgjfl(jfl) = tpjfl(jfl) |
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| 126 | zgkfl(jfl) = tpkfl(jfl) |
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| 127 | END DO |
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| 128 | |
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[2528] | 129 | DO jind = 1, 4 |
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| 130 | |
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[3] | 131 | ! for each step we compute the compute the velocity with Lagrange interpolation |
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[2528] | 132 | CALL flo_interp( zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
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[3] | 133 | |
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| 134 | ! computation of Runge-Kutta factor |
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| 135 | DO jfl = 1, jpnfl |
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| 136 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
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| 137 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
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| 138 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
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| 139 | END DO |
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| 140 | IF( jind /= 4 ) THEN |
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| 141 | DO jfl = 1, jpnfl |
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| 142 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
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| 143 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
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| 144 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
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| 145 | END DO |
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| 146 | ENDIF |
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| 147 | END DO |
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| 148 | DO jind = 1, 4 |
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| 149 | DO jfl = 1, jpnfl |
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| 150 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
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| 151 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
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| 152 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
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| 153 | END DO |
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| 154 | END DO |
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[2528] | 155 | ! |
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[3294] | 156 | CALL wrk_dealloc( jpnfl, zgifl , zgjfl , zgkfl , zufl, zvfl, zwfl) |
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| 157 | CALL wrk_dealloc( jpnfl, 4, zrkxfl, zrkyfl, zrkzfl ) |
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| 158 | ! |
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[3] | 159 | END SUBROUTINE flo_4rk |
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| 160 | |
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| 161 | |
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| 162 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
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[2528] | 163 | & pufl, pvfl, pwfl, ki ) |
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[3] | 164 | !!---------------------------------------------------------------------- |
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| 165 | !! *** ROUTINE flointerp *** |
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| 166 | !! |
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| 167 | !! ** Purpose : Interpolation of the velocity on the float position |
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| 168 | !! |
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| 169 | !! ** Method : Lagrange interpolation with the 64 neighboring |
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| 170 | !! points. This routine is call 4 time at each time step to |
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| 171 | !! compute velocity at the date and the position we need to |
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| 172 | !! integrated with RK method. |
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[2528] | 173 | !!---------------------------------------------------------------------- |
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| 174 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
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| 175 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
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| 176 | INTEGER , INTENT(in ) :: ki ! |
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[3] | 177 | !! |
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[2528] | 178 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
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| 179 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
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[3294] | 180 | INTEGER , POINTER, DIMENSION(:) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
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| 181 | INTEGER , POINTER, DIMENSION(:) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
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| 182 | INTEGER , POINTER, DIMENSION(:) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
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| 183 | INTEGER , POINTER, DIMENSION(:,:) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
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| 184 | INTEGER , POINTER, DIMENSION(:,:) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
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| 185 | INTEGER , POINTER, DIMENSION(:,:) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
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| 186 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
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| 187 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxv, zlagyv, zlagzv ! - - |
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| 188 | REAL(wp) , POINTER, DIMENSION(:,:) :: zlagxw, zlagyw, zlagzw ! - - |
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| 189 | REAL(wp) , POINTER, DIMENSION(:,:,:,:) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
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[3] | 190 | !!--------------------------------------------------------------------- |
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[3294] | 191 | CALL wrk_alloc( jpnfl, iilu, ijlu, iklu, iilv, ijlv, iklv, iilw, ijlw, iklw ) |
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| 192 | CALL wrk_alloc( jpnfl, 4, iidu, ijdu, ikdu, iidv, ijdv, ikdv, iidw, ijdw, ikdw ) |
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| 193 | CALL wrk_alloc( jpnfl, 4, zlagxu, zlagyu, zlagzu, zlagxv, zlagyv, zlagzv, zlagxw, zlagyw, zlagzw ) |
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| 194 | CALL wrk_alloc( jpnfl, 4, 4, 4, ztufl , ztvfl , ztwfl ) |
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| 195 | |
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[3] | 196 | ! Interpolation of U velocity |
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| 197 | |
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| 198 | ! nearest neightboring point for computation of u |
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| 199 | DO jfl = 1, jpnfl |
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| 200 | iilu(jfl) = INT(pxt(jfl)-.5) |
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| 201 | ijlu(jfl) = INT(pyt(jfl)-.5) |
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| 202 | iklu(jfl) = INT(pzt(jfl)) |
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| 203 | END DO |
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| 204 | |
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| 205 | ! 64 neightboring points for computation of u |
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| 206 | DO jind1 = 1, 4 |
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| 207 | DO jfl = 1, jpnfl |
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| 208 | ! i-direction |
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[2528] | 209 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
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[3] | 210 | ELSE |
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[2528] | 211 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
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| 212 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
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[3] | 213 | ENDIF |
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| 214 | ENDIF |
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| 215 | ! j-direction |
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[2528] | 216 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
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[3] | 217 | ELSE |
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[2528] | 218 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
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| 219 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
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[3] | 220 | ENDIF |
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| 221 | ENDIF |
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| 222 | ! k-direction |
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[2528] | 223 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
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[3] | 224 | ELSE |
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[2528] | 225 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
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| 226 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
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[3] | 227 | ENDIF |
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| 228 | ENDIF |
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| 229 | END DO |
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| 230 | END DO |
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| 231 | |
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| 232 | ! Lagrange coefficients |
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| 233 | DO jfl = 1, jpnfl |
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| 234 | DO jind1 = 1, 4 |
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| 235 | zlagxu(jfl,jind1) = 1. |
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| 236 | zlagyu(jfl,jind1) = 1. |
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| 237 | zlagzu(jfl,jind1) = 1. |
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| 238 | END DO |
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| 239 | END DO |
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| 240 | DO jind1 = 1, 4 |
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| 241 | DO jind2 = 1, 4 |
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| 242 | DO jfl= 1, jpnfl |
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| 243 | IF( jind1 /= jind2 ) THEN |
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| 244 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
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| 245 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
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| 246 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
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| 247 | ENDIF |
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| 248 | END DO |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | |
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| 252 | ! velocity when we compute at middle time step |
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| 253 | |
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| 254 | DO jfl = 1, jpnfl |
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| 255 | DO jind1 = 1, 4 |
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| 256 | DO jind2 = 1, 4 |
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| 257 | DO jind3 = 1, 4 |
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| 258 | ztufl(jfl,jind1,jind2,jind3) = & |
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[2528] | 259 | & ( tcoef1(ki) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
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| 260 | & tcoef2(ki) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
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[3] | 261 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | END DO |
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| 265 | |
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| 266 | zsumu = 0. |
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| 267 | DO jind1 = 1, 4 |
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| 268 | DO jind2 = 1, 4 |
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| 269 | DO jind3 = 1, 4 |
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| 270 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
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| 271 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 272 | END DO |
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| 273 | END DO |
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| 274 | END DO |
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| 275 | pufl(jfl) = zsumu |
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| 276 | END DO |
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| 277 | |
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| 278 | ! Interpolation of V velocity |
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| 279 | |
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| 280 | ! nearest neightboring point for computation of v |
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| 281 | DO jfl = 1, jpnfl |
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| 282 | iilv(jfl) = INT(pxt(jfl)-.5) |
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| 283 | ijlv(jfl) = INT(pyt(jfl)-.5) |
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| 284 | iklv(jfl) = INT(pzt(jfl)) |
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| 285 | END DO |
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| 286 | |
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| 287 | ! 64 neightboring points for computation of v |
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| 288 | DO jind1 = 1, 4 |
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| 289 | DO jfl = 1, jpnfl |
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| 290 | ! i-direction |
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[2528] | 291 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
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[3] | 292 | ELSE |
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[2528] | 293 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
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| 294 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
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[3] | 295 | ENDIF |
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| 296 | ENDIF |
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| 297 | ! j-direction |
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[2528] | 298 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
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[3] | 299 | ELSE |
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[2528] | 300 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
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| 301 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
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[3] | 302 | ENDIF |
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| 303 | ENDIF |
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| 304 | ! k-direction |
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[2528] | 305 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
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[3] | 306 | ELSE |
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[2528] | 307 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
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| 308 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
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[3] | 309 | ENDIF |
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| 310 | ENDIF |
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| 311 | END DO |
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| 312 | END DO |
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| 313 | |
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| 314 | ! Lagrange coefficients |
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| 315 | |
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| 316 | DO jfl = 1, jpnfl |
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| 317 | DO jind1 = 1, 4 |
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| 318 | zlagxv(jfl,jind1) = 1. |
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| 319 | zlagyv(jfl,jind1) = 1. |
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| 320 | zlagzv(jfl,jind1) = 1. |
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| 321 | END DO |
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| 322 | END DO |
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| 323 | |
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| 324 | DO jind1 = 1, 4 |
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| 325 | DO jind2 = 1, 4 |
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| 326 | DO jfl = 1, jpnfl |
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| 327 | IF( jind1 /= jind2 ) THEN |
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[2528] | 328 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
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[3] | 329 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
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[2528] | 330 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
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[3] | 331 | ENDIF |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | END DO |
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| 335 | |
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| 336 | ! velocity when we compute at middle time step |
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| 337 | |
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| 338 | DO jfl = 1, jpnfl |
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| 339 | DO jind1 = 1, 4 |
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| 340 | DO jind2 = 1, 4 |
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| 341 | DO jind3 = 1 ,4 |
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| 342 | ztvfl(jfl,jind1,jind2,jind3)= & |
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[2528] | 343 | & ( tcoef1(ki) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
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| 344 | & tcoef2(ki) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
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[3] | 345 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
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| 346 | END DO |
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| 347 | END DO |
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| 348 | END DO |
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| 349 | |
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| 350 | zsumv=0. |
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| 351 | DO jind1 = 1, 4 |
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| 352 | DO jind2 = 1, 4 |
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| 353 | DO jind3 = 1, 4 |
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| 354 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
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| 355 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 356 | END DO |
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| 357 | END DO |
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| 358 | END DO |
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| 359 | pvfl(jfl) = zsumv |
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| 360 | END DO |
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| 361 | |
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| 362 | ! Interpolation of W velocity |
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| 363 | |
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| 364 | ! nearest neightboring point for computation of w |
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| 365 | DO jfl = 1, jpnfl |
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[2528] | 366 | iilw(jfl) = INT( pxt(jfl) ) |
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| 367 | ijlw(jfl) = INT( pyt(jfl) ) |
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| 368 | iklw(jfl) = INT( pzt(jfl)+.5) |
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[3] | 369 | END DO |
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| 370 | |
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| 371 | ! 64 neightboring points for computation of w |
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| 372 | DO jind1 = 1, 4 |
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| 373 | DO jfl = 1, jpnfl |
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| 374 | ! i-direction |
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[2528] | 375 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
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[3] | 376 | ELSE |
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[2528] | 377 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
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| 378 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
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[3] | 379 | ENDIF |
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| 380 | ENDIF |
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| 381 | ! j-direction |
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[2528] | 382 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
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[3] | 383 | ELSE |
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[2528] | 384 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
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| 385 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
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[3] | 386 | ENDIF |
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| 387 | ENDIF |
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| 388 | ! k-direction |
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[2528] | 389 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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[3] | 390 | ELSE |
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[2528] | 391 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 392 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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[3] | 393 | ENDIF |
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| 394 | ENDIF |
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| 395 | END DO |
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| 396 | END DO |
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| 397 | DO jind1 = 1, 4 |
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| 398 | DO jfl = 1, jpnfl |
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[2528] | 399 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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[3] | 400 | ELSE |
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[2528] | 401 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 402 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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[3] | 403 | ENDIF |
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| 404 | ENDIF |
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| 405 | END DO |
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| 406 | END DO |
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| 407 | |
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| 408 | ! Lagrange coefficients for w interpolation |
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| 409 | DO jfl = 1, jpnfl |
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| 410 | DO jind1 = 1, 4 |
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| 411 | zlagxw(jfl,jind1) = 1. |
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| 412 | zlagyw(jfl,jind1) = 1. |
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| 413 | zlagzw(jfl,jind1) = 1. |
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| 414 | END DO |
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| 415 | END DO |
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| 416 | DO jind1 = 1, 4 |
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| 417 | DO jind2 = 1, 4 |
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| 418 | DO jfl = 1, jpnfl |
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| 419 | IF( jind1 /= jind2 ) THEN |
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[2528] | 420 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
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| 421 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
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[3] | 422 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
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| 423 | ENDIF |
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| 424 | END DO |
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| 425 | END DO |
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| 426 | END DO |
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| 427 | |
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| 428 | ! velocity w when we compute at middle time step |
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| 429 | DO jfl = 1, jpnfl |
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| 430 | DO jind1 = 1, 4 |
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| 431 | DO jind2 = 1, 4 |
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| 432 | DO jind3 = 1, 4 |
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| 433 | ztwfl(jfl,jind1,jind2,jind3)= & |
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[2528] | 434 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
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| 435 | & tcoef2(ki) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
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[6140] | 436 | & / e3w_n(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) |
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[3] | 437 | END DO |
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| 438 | END DO |
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| 439 | END DO |
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| 440 | |
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[2528] | 441 | zsumw = 0.e0 |
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[3] | 442 | DO jind1 = 1, 4 |
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| 443 | DO jind2 = 1, 4 |
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| 444 | DO jind3 = 1, 4 |
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| 445 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
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| 446 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 447 | END DO |
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| 448 | END DO |
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| 449 | END DO |
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| 450 | pwfl(jfl) = zsumw |
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| 451 | END DO |
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[2528] | 452 | ! |
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[3294] | 453 | CALL wrk_dealloc( jpnfl, iilu, ijlu, iklu, iilv, ijlv, iklv, iilw, ijlw, iklw ) |
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| 454 | CALL wrk_dealloc( jpnfl, 4, iidu, ijdu, ikdu, iidv, ijdv, ikdv, iidw, ijdw, ikdw ) |
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| 455 | CALL wrk_dealloc( jpnfl, 4, zlagxu, zlagyu, zlagzu, zlagxv, zlagyv, zlagzv, zlagxw, zlagyw, zlagzw ) |
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| 456 | CALL wrk_dealloc( jpnfl, 4, 4, 4, ztufl , ztvfl , ztwfl ) |
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| 457 | ! |
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[3] | 458 | END SUBROUTINE flo_interp |
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| 459 | |
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| 460 | # else |
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| 461 | !!---------------------------------------------------------------------- |
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[2528] | 462 | !! No floats Dummy module |
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[3] | 463 | !!---------------------------------------------------------------------- |
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| 464 | #endif |
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| 465 | |
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| 466 | !!====================================================================== |
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| 467 | END MODULE flo4rk |
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