[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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| 6 | #if defined key_floats || defined key_esopa |
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| 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 | !! * Modules used |
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| 14 | USE flo_oce ! ocean drifting floats |
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| 15 | USE oce ! ocean dynamics and tracers |
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| 16 | USE dom_oce ! ocean space and time domain |
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[16] | 17 | USE in_out_manager ! I/O manager |
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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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| 22 | !! * Accessibility |
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| 23 | PUBLIC flo_4rk ! routine called by floats.F90 |
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| 24 | |
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| 25 | !! * Module variables |
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| 26 | REAL(wp), DIMENSION (4) :: & ! RK4 and Lagrange interpolation |
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[16] | 27 | tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) , & ! coeffients for |
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| 28 | tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) , & ! lagrangian interp. |
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| 29 | scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) , & ! RK4 coefficients |
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| 30 | rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! ??? |
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[3] | 31 | REAL(wp), DIMENSION (3) :: & |
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[16] | 32 | scoef1 = (/ .5, .5, 1. /) ! compute position with interpolated |
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[3] | 33 | !!---------------------------------------------------------------------- |
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[247] | 34 | !! OPA 9.0 , LOCEAN-IPSL (2005) |
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| 35 | !! $Header$ |
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| 36 | !! This software is governed by the CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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[3] | 37 | !!---------------------------------------------------------------------- |
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| 38 | |
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| 39 | CONTAINS |
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| 40 | |
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| 41 | SUBROUTINE flo_4rk( kt ) |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | !! *** ROUTINE flo_4rk *** |
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| 44 | !! |
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| 45 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
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| 46 | !! of each float at each time step. |
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| 47 | !! |
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| 48 | !! ** Method : The position of a float is computed with a 4th order |
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| 49 | !! Runge-Kutta scheme and and Lagrange interpolation. |
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| 50 | !! We need to know the velocity field, the old positions of the |
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| 51 | !! floats and the grid defined on the domain. |
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| 52 | !! |
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| 53 | !!---------------------------------------------------------------------- |
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| 54 | !! * Arguments |
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| 55 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 56 | |
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| 57 | !! * Local declarations |
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| 58 | INTEGER :: jfl, jind ! dummy loop indices |
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| 59 | REAL(wp), DIMENSION ( jpnfl) :: & |
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| 60 | zgifl, zgjfl, zgkfl, & ! index RK positions |
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| 61 | zufl, zvfl, zwfl ! interpolated velocity at the |
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| 62 | ! float position |
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| 63 | REAL(wp), DIMENSION ( jpnfl, 4 ) :: & |
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| 64 | zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
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| 65 | !!--------------------------------------------------------------------- |
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| 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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| 129 | DO jind = 1, 4 |
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| 130 | |
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| 131 | ! for each step we compute the compute the velocity with Lagrange interpolation |
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| 132 | CALL flo_interp(zgifl,zgjfl,zgkfl,zufl,zvfl,zwfl,jind) |
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| 133 | |
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| 134 | ! computation of Runge-Kutta factor |
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| 135 | |
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| 136 | DO jfl = 1, jpnfl |
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| 137 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
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| 138 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
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| 139 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
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| 140 | END DO |
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| 141 | IF( jind /= 4 ) THEN |
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| 142 | DO jfl = 1, jpnfl |
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| 143 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
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| 144 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
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| 145 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
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| 146 | END DO |
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| 147 | ENDIF |
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| 148 | END DO |
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| 149 | DO jind = 1, 4 |
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| 150 | DO jfl = 1, jpnfl |
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| 151 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
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| 152 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
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| 153 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
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| 154 | END DO |
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| 155 | END DO |
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| 156 | |
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| 157 | END SUBROUTINE flo_4rk |
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| 158 | |
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| 159 | |
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| 160 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
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| 161 | & pufl, pvfl, pwfl, kind ) |
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| 162 | !!---------------------------------------------------------------------- |
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| 163 | !! *** ROUTINE flointerp *** |
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| 164 | !! |
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| 165 | !! ** Purpose : Interpolation of the velocity on the float position |
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| 166 | !! |
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| 167 | !! ** Method : Lagrange interpolation with the 64 neighboring |
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| 168 | !! points. This routine is call 4 time at each time step to |
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| 169 | !! compute velocity at the date and the position we need to |
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| 170 | !! integrated with RK method. |
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| 171 | !! |
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| 172 | !!---------------------------------------------------------------------- |
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| 173 | !! * Local declarations |
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| 174 | INTEGER :: & |
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| 175 | kind, & |
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| 176 | jfl, jind1, jind2, jind3, & |
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| 177 | zsumu, zsumv, zsumw |
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| 178 | INTEGER , DIMENSION ( jpnfl ) :: & |
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| 179 | iilu, ijlu, iklu, & ! nearest neighbour INDEX-u |
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| 180 | iilv, ijlv, iklv, & ! nearest neighbour INDEX-v |
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| 181 | iilw, ijlw, iklw ! nearest neighbour INDEX-w |
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| 182 | INTEGER , DIMENSION ( jpnfl, 4 ) :: & |
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| 183 | iidu, ijdu, ikdu, & ! 64 nearest neighbour INDEX-u |
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| 184 | iidv, ijdv, ikdv, & ! 64 nearest neighbour INDEX-v |
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| 185 | iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
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| 186 | REAL(wp) , DIMENSION ( jpnfl ) :: & |
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| 187 | pxt , pyt , pzt, & ! position of the float |
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| 188 | pufl, pvfl, pwfl ! velocity at this position |
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| 189 | REAL(wp) , DIMENSION ( jpnfl, 4, 4, 4 ) :: & |
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| 190 | ztufl, ztvfl, ztwfl ! velocity at choosen time step |
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| 191 | REAL(wp) , DIMENSION ( jpnfl, 4 ) :: & |
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| 192 | zlagxu, zlagyu, zlagzu, & ! Lagrange coefficients |
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| 193 | zlagxv, zlagyv, zlagzv, & |
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| 194 | zlagxw, zlagyw, zlagzw |
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| 195 | !!--------------------------------------------------------------------- |
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| 196 | |
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| 197 | ! Interpolation of U velocity |
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| 198 | |
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| 199 | ! nearest neightboring point for computation of u |
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| 200 | DO jfl = 1, jpnfl |
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| 201 | iilu(jfl) = INT(pxt(jfl)-.5) |
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| 202 | ijlu(jfl) = INT(pyt(jfl)-.5) |
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| 203 | iklu(jfl) = INT(pzt(jfl)) |
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| 204 | END DO |
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| 205 | |
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| 206 | ! 64 neightboring points for computation of u |
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| 207 | DO jind1 = 1, 4 |
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| 208 | DO jfl = 1, jpnfl |
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| 209 | ! i-direction |
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| 210 | IF( iilu(jfl) <= 2 ) THEN |
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| 211 | iidu(jfl,jind1) = jind1 |
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| 212 | ELSE |
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| 213 | IF( iilu(jfl) >= jpi-1 ) THEN |
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| 214 | iidu(jfl,jind1) = jpi + jind1 - 4 |
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| 215 | ELSE |
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| 216 | iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
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| 217 | ENDIF |
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| 218 | ENDIF |
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| 219 | ! j-direction |
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| 220 | IF( ijlu(jfl) <= 2 ) THEN |
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| 221 | ijdu(jfl,jind1) = jind1 |
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| 222 | ELSE |
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| 223 | IF( ijlu(jfl) >= jpj-1 ) THEN |
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| 224 | ijdu(jfl,jind1) = jpj + jind1 - 4 |
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| 225 | ELSE |
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| 226 | ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
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| 227 | ENDIF |
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| 228 | ENDIF |
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| 229 | ! k-direction |
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| 230 | IF( iklu(jfl) <= 2 ) THEN |
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| 231 | ikdu(jfl,jind1) = jind1 |
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| 232 | ELSE |
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| 233 | IF( iklu(jfl) >= jpk-1 ) THEN |
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| 234 | ikdu(jfl,jind1) = jpk + jind1 - 4 |
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| 235 | ELSE |
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| 236 | ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
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| 237 | ENDIF |
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| 238 | ENDIF |
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| 239 | END DO |
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| 240 | END DO |
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| 241 | |
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| 242 | ! Lagrange coefficients |
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| 243 | |
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| 244 | DO jfl = 1, jpnfl |
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| 245 | DO jind1 = 1, 4 |
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| 246 | zlagxu(jfl,jind1) = 1. |
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| 247 | zlagyu(jfl,jind1) = 1. |
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| 248 | zlagzu(jfl,jind1) = 1. |
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| 249 | END DO |
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| 250 | END DO |
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| 251 | |
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| 252 | DO jind1 = 1, 4 |
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| 253 | DO jind2 = 1, 4 |
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| 254 | DO jfl= 1, jpnfl |
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| 255 | IF( jind1 /= jind2 ) THEN |
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| 256 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
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| 257 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
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| 258 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
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| 259 | ENDIF |
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| 260 | END DO |
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| 261 | END DO |
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| 262 | END DO |
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| 263 | |
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| 264 | ! velocity when we compute at middle time step |
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| 265 | |
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| 266 | DO jfl = 1, jpnfl |
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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 | ztufl(jfl,jind1,jind2,jind3) = & |
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| 271 | & ( tcoef1(kind) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
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| 272 | & tcoef2(kind) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
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| 273 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
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| 274 | END DO |
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| 275 | END DO |
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| 276 | END DO |
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| 277 | |
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| 278 | zsumu = 0. |
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| 279 | DO jind1 = 1, 4 |
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| 280 | DO jind2 = 1, 4 |
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| 281 | DO jind3 = 1, 4 |
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| 282 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
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| 283 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 284 | END DO |
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| 285 | END DO |
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| 286 | END DO |
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| 287 | pufl(jfl) = zsumu |
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| 288 | END DO |
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| 289 | |
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| 290 | ! Interpolation of V velocity |
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| 291 | |
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| 292 | ! nearest neightboring point for computation of v |
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| 293 | DO jfl = 1, jpnfl |
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| 294 | iilv(jfl) = INT(pxt(jfl)-.5) |
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| 295 | ijlv(jfl) = INT(pyt(jfl)-.5) |
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| 296 | iklv(jfl) = INT(pzt(jfl)) |
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| 297 | END DO |
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| 298 | |
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| 299 | ! 64 neightboring points for computation of v |
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| 300 | DO jind1 = 1, 4 |
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| 301 | DO jfl = 1, jpnfl |
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| 302 | ! i-direction |
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| 303 | IF( iilv(jfl) <= 2 ) THEN |
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| 304 | iidv(jfl,jind1) = jind1 |
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| 305 | ELSE |
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| 306 | IF( iilv(jfl) >= jpi-1 ) THEN |
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| 307 | iidv(jfl,jind1) = jpi + jind1 - 4 |
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| 308 | ELSE |
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| 309 | iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
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| 310 | ENDIF |
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| 311 | ENDIF |
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| 312 | ! j-direction |
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| 313 | IF( ijlv(jfl) <= 2 ) THEN |
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| 314 | ijdv(jfl,jind1) = jind1 |
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| 315 | ELSE |
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| 316 | IF( ijlv(jfl) >= jpj-1 ) THEN |
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| 317 | ijdv(jfl,jind1) = jpj + jind1 - 4 |
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| 318 | ELSE |
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| 319 | ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
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| 320 | ENDIF |
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| 321 | ENDIF |
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| 322 | ! k-direction |
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| 323 | IF( iklv(jfl) <= 2 ) THEN |
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| 324 | ikdv(jfl,jind1) = jind1 |
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| 325 | ELSE |
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| 326 | IF( iklv(jfl) >= jpk-1 ) THEN |
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| 327 | ikdv(jfl,jind1) = jpk + jind1 - 4 |
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| 328 | ELSE |
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| 329 | ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
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| 330 | ENDIF |
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| 331 | ENDIF |
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| 332 | END DO |
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| 333 | END DO |
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| 334 | |
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| 335 | ! Lagrange coefficients |
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| 336 | |
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| 337 | DO jfl = 1, jpnfl |
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| 338 | DO jind1 = 1, 4 |
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| 339 | zlagxv(jfl,jind1) = 1. |
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| 340 | zlagyv(jfl,jind1) = 1. |
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| 341 | zlagzv(jfl,jind1) = 1. |
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| 342 | END DO |
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| 343 | END DO |
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| 344 | |
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| 345 | DO jind1 = 1, 4 |
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| 346 | DO jind2 = 1, 4 |
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| 347 | DO jfl = 1, jpnfl |
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| 348 | IF( jind1 /= jind2 ) THEN |
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| 349 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2))) ) |
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| 350 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
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| 351 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2))) ) |
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| 352 | ENDIF |
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| 353 | END DO |
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| 354 | END DO |
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| 355 | END DO |
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| 356 | |
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| 357 | ! velocity when we compute at middle time step |
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| 358 | |
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| 359 | DO jfl = 1, jpnfl |
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| 360 | DO jind1 = 1, 4 |
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| 361 | DO jind2 = 1, 4 |
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| 362 | DO jind3 = 1 ,4 |
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| 363 | ztvfl(jfl,jind1,jind2,jind3)= & |
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| 364 | & ( tcoef1(kind) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
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| 365 | & tcoef2(kind) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
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| 366 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
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| 367 | END DO |
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| 368 | END DO |
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| 369 | END DO |
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| 370 | |
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| 371 | zsumv=0. |
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| 372 | DO jind1 = 1, 4 |
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| 373 | DO jind2 = 1, 4 |
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| 374 | DO jind3 = 1, 4 |
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| 375 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
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| 376 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 377 | END DO |
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| 378 | END DO |
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| 379 | END DO |
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| 380 | pvfl(jfl) = zsumv |
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| 381 | END DO |
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| 382 | |
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| 383 | ! Interpolation of W velocity |
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| 384 | |
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| 385 | ! nearest neightboring point for computation of w |
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| 386 | DO jfl = 1, jpnfl |
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| 387 | iilw(jfl) = INT(pxt(jfl)) |
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| 388 | ijlw(jfl) = INT(pyt(jfl)) |
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| 389 | iklw(jfl) = INT(pzt(jfl)+.5) |
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| 390 | END DO |
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| 391 | |
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| 392 | ! 64 neightboring points for computation of w |
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| 393 | DO jind1 = 1, 4 |
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| 394 | DO jfl = 1, jpnfl |
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| 395 | ! i-direction |
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| 396 | IF( iilw(jfl) <= 2 ) THEN |
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| 397 | iidw(jfl,jind1) = jind1 |
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| 398 | ELSE |
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| 399 | IF( iilw(jfl) >= jpi-1 ) THEN |
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| 400 | iidw(jfl,jind1) = jpi + jind1 - 4 |
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| 401 | ELSE |
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| 402 | iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
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| 403 | ENDIF |
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| 404 | ENDIF |
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| 405 | ! j-direction |
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| 406 | IF( ijlw(jfl) <= 2 ) THEN |
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| 407 | ijdw(jfl,jind1) = jind1 |
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| 408 | ELSE |
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| 409 | IF( ijlw(jfl) >= jpj-1 ) THEN |
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| 410 | ijdw(jfl,jind1) = jpj + jind1 - 4 |
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| 411 | ELSE |
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| 412 | ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
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| 413 | ENDIF |
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| 414 | ENDIF |
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| 415 | ! k-direction |
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| 416 | IF( iklw(jfl) <= 2 ) THEN |
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| 417 | ikdw(jfl,jind1) = jind1 |
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| 418 | ELSE |
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| 419 | IF( iklw(jfl) >= jpk-1 ) THEN |
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| 420 | ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 421 | ELSE |
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| 422 | ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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| 423 | ENDIF |
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| 424 | ENDIF |
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| 425 | END DO |
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| 426 | END DO |
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| 427 | DO jind1 = 1, 4 |
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| 428 | DO jfl = 1, jpnfl |
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| 429 | IF( iklw(jfl) <= 2 ) THEN |
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| 430 | ikdw(jfl,jind1) = jind1 |
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| 431 | ELSE |
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| 432 | IF( iklw(jfl) >= jpk-1 ) THEN |
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| 433 | ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 434 | ELSE |
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| 435 | ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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| 436 | ENDIF |
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| 437 | ENDIF |
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| 438 | END DO |
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| 439 | END DO |
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| 440 | |
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| 441 | ! Lagrange coefficients for w interpolation |
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| 442 | |
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| 443 | DO jfl = 1, jpnfl |
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| 444 | DO jind1 = 1, 4 |
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| 445 | zlagxw(jfl,jind1) = 1. |
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| 446 | zlagyw(jfl,jind1) = 1. |
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| 447 | zlagzw(jfl,jind1) = 1. |
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| 448 | END DO |
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| 449 | END DO |
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| 450 | |
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| 451 | DO jind1 = 1, 4 |
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| 452 | DO jind2 = 1, 4 |
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| 453 | DO jfl = 1, jpnfl |
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| 454 | IF( jind1 /= jind2 ) THEN |
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| 455 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2))) ) |
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| 456 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2))) ) |
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| 457 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
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| 458 | ENDIF |
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| 459 | END DO |
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| 460 | END DO |
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| 461 | END DO |
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| 462 | |
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| 463 | ! velocity w when we compute at middle time step |
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| 464 | |
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| 465 | DO jfl = 1, jpnfl |
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| 466 | DO jind1 = 1, 4 |
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| 467 | DO jind2 = 1, 4 |
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| 468 | DO jind3 = 1, 4 |
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| 469 | ztwfl(jfl,jind1,jind2,jind3)= & |
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| 470 | & ( tcoef1(kind) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
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| 471 | & tcoef2(kind) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
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| 472 | !!bug e3w instead of fse3 |
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| 473 | & / e3w(ikdw(jfl,jind3)) |
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| 474 | END DO |
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| 475 | END DO |
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| 476 | END DO |
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| 477 | |
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| 478 | zsumw=0. |
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| 479 | DO jind1 = 1, 4 |
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| 480 | DO jind2 = 1, 4 |
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| 481 | DO jind3 = 1, 4 |
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| 482 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
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| 483 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 484 | END DO |
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| 485 | END DO |
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| 486 | END DO |
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| 487 | pwfl(jfl) = zsumw |
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| 488 | END DO |
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| 489 | |
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| 490 | END SUBROUTINE flo_interp |
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| 491 | |
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| 492 | # else |
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| 493 | !!---------------------------------------------------------------------- |
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| 494 | !! Default option Empty module |
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| 495 | !!---------------------------------------------------------------------- |
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| 496 | CONTAINS |
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| 497 | SUBROUTINE flo_4rk ! Empty routine |
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| 498 | END SUBROUTINE flo_4rk |
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| 499 | #endif |
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| 500 | |
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| 501 | !!====================================================================== |
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| 502 | END MODULE flo4rk |
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