[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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[11536] | 6 | !! |
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[3] | 7 | !!---------------------------------------------------------------------- |
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| 8 | !! flo_4rk : Compute the geographical position of floats |
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| 9 | !! flo_interp : interpolation |
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| 10 | !!---------------------------------------------------------------------- |
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| 11 | USE flo_oce ! ocean drifting floats |
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| 12 | USE oce ! ocean dynamics and tracers |
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| 13 | USE dom_oce ! ocean space and time domain |
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[16] | 14 | USE in_out_manager ! I/O manager |
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[3] | 15 | |
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| 16 | IMPLICIT NONE |
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| 17 | PRIVATE |
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| 18 | |
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[2528] | 19 | PUBLIC flo_4rk ! routine called by floats.F90 |
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[3] | 20 | |
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[2528] | 21 | ! ! RK4 and Lagrange interpolation coefficients |
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| 22 | REAL(wp), DIMENSION (4) :: tcoef1 = (/ 1.0 , 0.5 , 0.5 , 0.0 /) ! |
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| 23 | REAL(wp), DIMENSION (4) :: tcoef2 = (/ 0.0 , 0.5 , 0.5 , 1.0 /) ! |
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| 24 | REAL(wp), DIMENSION (4) :: scoef2 = (/ 1.0 , 2.0 , 2.0 , 1.0 /) ! |
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| 25 | REAL(wp), DIMENSION (4) :: rcoef = (/-1./6. , 1./2. ,-1./2. , 1./6. /) ! |
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| 26 | REAL(wp), DIMENSION (3) :: scoef1 = (/ 0.5 , 0.5 , 1.0 /) ! |
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| 27 | |
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[3] | 28 | !!---------------------------------------------------------------------- |
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[9598] | 29 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 30 | !! $Id$ |
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[10068] | 31 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 32 | !!---------------------------------------------------------------------- |
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| 33 | CONTAINS |
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| 34 | |
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| 35 | SUBROUTINE flo_4rk( kt ) |
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| 36 | !!---------------------------------------------------------------------- |
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| 37 | !! *** ROUTINE flo_4rk *** |
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| 38 | !! |
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| 39 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
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| 40 | !! of each float at each time step. |
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| 41 | !! |
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| 42 | !! ** Method : The position of a float is computed with a 4th order |
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| 43 | !! Runge-Kutta scheme and and Lagrange interpolation. |
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| 44 | !! We need to know the velocity field, the old positions of the |
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| 45 | !! floats and the grid defined on the domain. |
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[2528] | 46 | !!---------------------------------------------------------------------- |
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| 47 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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[3] | 48 | !! |
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| 49 | INTEGER :: jfl, jind ! dummy loop indices |
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[3294] | 50 | INTEGER :: ierror ! error value |
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| 51 | |
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[9125] | 52 | REAL(wp), DIMENSION(jpnfl) :: zgifl , zgjfl , zgkfl ! index RK positions |
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| 53 | REAL(wp), DIMENSION(jpnfl) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
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| 54 | REAL(wp), DIMENSION(jpnfl,4) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
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[3] | 55 | !!--------------------------------------------------------------------- |
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[3294] | 56 | ! |
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| 57 | IF( ierror /= 0 ) THEN |
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| 58 | WRITE(numout,*) 'flo_4rk: allocation of workspace arrays failed' |
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| 59 | ENDIF |
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| 60 | |
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[3] | 61 | |
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| 62 | IF( kt == nit000 ) THEN |
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| 63 | IF(lwp) WRITE(numout,*) |
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| 64 | IF(lwp) WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
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| 65 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 66 | ENDIF |
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| 67 | |
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| 68 | ! Verification of the floats positions. If one of them leave the domain |
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| 69 | ! domain we replace the float near the border. |
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| 70 | DO jfl = 1, jpnfl |
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| 71 | ! i-direction |
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| 72 | IF( tpifl(jfl) <= 1.5 ) THEN |
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| 73 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 74 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
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| 75 | tpifl(jfl) = tpifl(jfl) + 1. |
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| 76 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
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| 77 | ENDIF |
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| 78 | |
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| 79 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
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| 80 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 81 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
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| 82 | tpifl(jfl) = tpifl(jfl) - 1. |
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| 83 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
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| 84 | ENDIF |
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| 85 | ! j-direction |
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| 86 | IF( tpjfl(jfl) <= 1.5 ) THEN |
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| 87 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 88 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
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| 89 | tpjfl(jfl) = tpjfl(jfl) + 1. |
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| 90 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 91 | ENDIF |
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| 92 | |
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| 93 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
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| 94 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 95 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
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| 96 | tpjfl(jfl) = tpjfl(jfl) - 1. |
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| 97 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 98 | ENDIF |
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| 99 | ! k-direction |
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| 100 | IF( tpkfl(jfl) <= .5 ) THEN |
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| 101 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 102 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
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| 103 | tpkfl(jfl) = tpkfl(jfl) + 1. |
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| 104 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 105 | ENDIF |
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| 106 | |
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| 107 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
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| 108 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 109 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
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| 110 | tpkfl(jfl) = tpkfl(jfl) - 1. |
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| 111 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 112 | ENDIF |
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| 113 | END DO |
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| 114 | |
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| 115 | ! 4 steps of Runge-Kutta algorithme |
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| 116 | ! initialisation of the positions |
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| 117 | |
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| 118 | DO jfl = 1, jpnfl |
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| 119 | zgifl(jfl) = tpifl(jfl) |
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| 120 | zgjfl(jfl) = tpjfl(jfl) |
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| 121 | zgkfl(jfl) = tpkfl(jfl) |
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| 122 | END DO |
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| 123 | |
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[2528] | 124 | DO jind = 1, 4 |
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| 125 | |
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[3] | 126 | ! for each step we compute the compute the velocity with Lagrange interpolation |
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[2528] | 127 | CALL flo_interp( zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
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[3] | 128 | |
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| 129 | ! computation of Runge-Kutta factor |
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| 130 | DO jfl = 1, jpnfl |
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| 131 | zrkxfl(jfl,jind) = rdt*zufl(jfl) |
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| 132 | zrkyfl(jfl,jind) = rdt*zvfl(jfl) |
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| 133 | zrkzfl(jfl,jind) = rdt*zwfl(jfl) |
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| 134 | END DO |
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| 135 | IF( jind /= 4 ) THEN |
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| 136 | DO jfl = 1, jpnfl |
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| 137 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
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| 138 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
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| 139 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
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| 140 | END DO |
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| 141 | ENDIF |
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| 142 | END DO |
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| 143 | DO jind = 1, 4 |
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| 144 | DO jfl = 1, jpnfl |
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| 145 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
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| 146 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
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| 147 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
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| 148 | END DO |
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| 149 | END DO |
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[2528] | 150 | ! |
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[3294] | 151 | ! |
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[3] | 152 | END SUBROUTINE flo_4rk |
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| 153 | |
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| 154 | |
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| 155 | SUBROUTINE flo_interp( pxt , pyt , pzt , & |
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[2528] | 156 | & pufl, pvfl, pwfl, ki ) |
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[3] | 157 | !!---------------------------------------------------------------------- |
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| 158 | !! *** ROUTINE flointerp *** |
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| 159 | !! |
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| 160 | !! ** Purpose : Interpolation of the velocity on the float position |
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| 161 | !! |
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| 162 | !! ** Method : Lagrange interpolation with the 64 neighboring |
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| 163 | !! points. This routine is call 4 time at each time step to |
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| 164 | !! compute velocity at the date and the position we need to |
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| 165 | !! integrated with RK method. |
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[2528] | 166 | !!---------------------------------------------------------------------- |
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| 167 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
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| 168 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
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| 169 | INTEGER , INTENT(in ) :: ki ! |
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[3] | 170 | !! |
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[2528] | 171 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
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| 172 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
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[9125] | 173 | INTEGER , DIMENSION(jpnfl) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
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| 174 | INTEGER , DIMENSION(jpnfl) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
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| 175 | INTEGER , DIMENSION(jpnfl) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
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| 176 | INTEGER , DIMENSION(jpnfl,4) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
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| 177 | INTEGER , DIMENSION(jpnfl,4) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
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| 178 | INTEGER , DIMENSION(jpnfl,4) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
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| 179 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
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| 180 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxv, zlagyv, zlagzv ! - - |
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| 181 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxw, zlagyw, zlagzw ! - - |
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| 182 | REAL(wp) , DIMENSION(jpnfl,4,4,4) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
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[3] | 183 | !!--------------------------------------------------------------------- |
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[3294] | 184 | |
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[3] | 185 | ! Interpolation of U velocity |
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| 186 | |
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| 187 | ! nearest neightboring point for computation of u |
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| 188 | DO jfl = 1, jpnfl |
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| 189 | iilu(jfl) = INT(pxt(jfl)-.5) |
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| 190 | ijlu(jfl) = INT(pyt(jfl)-.5) |
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| 191 | iklu(jfl) = INT(pzt(jfl)) |
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| 192 | END DO |
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| 193 | |
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| 194 | ! 64 neightboring points for computation of u |
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| 195 | DO jind1 = 1, 4 |
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| 196 | DO jfl = 1, jpnfl |
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| 197 | ! i-direction |
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[2528] | 198 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
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[3] | 199 | ELSE |
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[2528] | 200 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
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| 201 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
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[3] | 202 | ENDIF |
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| 203 | ENDIF |
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| 204 | ! j-direction |
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[2528] | 205 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
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[3] | 206 | ELSE |
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[2528] | 207 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
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| 208 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
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[3] | 209 | ENDIF |
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| 210 | ENDIF |
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| 211 | ! k-direction |
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[2528] | 212 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
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[3] | 213 | ELSE |
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[2528] | 214 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
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| 215 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
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[3] | 216 | ENDIF |
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| 217 | ENDIF |
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| 218 | END DO |
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| 219 | END DO |
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| 220 | |
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| 221 | ! Lagrange coefficients |
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| 222 | DO jfl = 1, jpnfl |
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| 223 | DO jind1 = 1, 4 |
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| 224 | zlagxu(jfl,jind1) = 1. |
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| 225 | zlagyu(jfl,jind1) = 1. |
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| 226 | zlagzu(jfl,jind1) = 1. |
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| 227 | END DO |
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| 228 | END DO |
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| 229 | DO jind1 = 1, 4 |
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| 230 | DO jind2 = 1, 4 |
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| 231 | DO jfl= 1, jpnfl |
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| 232 | IF( jind1 /= jind2 ) THEN |
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| 233 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
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| 234 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
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| 235 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
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| 236 | ENDIF |
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| 237 | END DO |
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| 238 | END DO |
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| 239 | END DO |
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| 240 | |
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| 241 | ! velocity when we compute at middle time step |
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| 242 | |
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| 243 | DO jfl = 1, jpnfl |
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| 244 | DO jind1 = 1, 4 |
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| 245 | DO jind2 = 1, 4 |
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| 246 | DO jind3 = 1, 4 |
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| 247 | ztufl(jfl,jind1,jind2,jind3) = & |
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[2528] | 248 | & ( tcoef1(ki) * ub(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) + & |
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| 249 | & tcoef2(ki) * un(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3)) ) & |
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[3] | 250 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
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| 251 | END DO |
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| 252 | END DO |
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| 253 | END DO |
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| 254 | |
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| 255 | zsumu = 0. |
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| 256 | DO jind1 = 1, 4 |
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| 257 | DO jind2 = 1, 4 |
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| 258 | DO jind3 = 1, 4 |
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| 259 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
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| 260 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 261 | END DO |
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| 262 | END DO |
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| 263 | END DO |
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| 264 | pufl(jfl) = zsumu |
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| 265 | END DO |
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| 266 | |
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| 267 | ! Interpolation of V velocity |
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| 268 | |
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| 269 | ! nearest neightboring point for computation of v |
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| 270 | DO jfl = 1, jpnfl |
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| 271 | iilv(jfl) = INT(pxt(jfl)-.5) |
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| 272 | ijlv(jfl) = INT(pyt(jfl)-.5) |
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| 273 | iklv(jfl) = INT(pzt(jfl)) |
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| 274 | END DO |
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| 275 | |
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| 276 | ! 64 neightboring points for computation of v |
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| 277 | DO jind1 = 1, 4 |
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| 278 | DO jfl = 1, jpnfl |
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| 279 | ! i-direction |
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[2528] | 280 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
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[3] | 281 | ELSE |
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[2528] | 282 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
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| 283 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
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[3] | 284 | ENDIF |
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| 285 | ENDIF |
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| 286 | ! j-direction |
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[2528] | 287 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
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[3] | 288 | ELSE |
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[2528] | 289 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
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| 290 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
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[3] | 291 | ENDIF |
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| 292 | ENDIF |
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| 293 | ! k-direction |
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[2528] | 294 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
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[3] | 295 | ELSE |
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[2528] | 296 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
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| 297 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
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[3] | 298 | ENDIF |
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| 299 | ENDIF |
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| 300 | END DO |
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| 301 | END DO |
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| 302 | |
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| 303 | ! Lagrange coefficients |
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| 304 | |
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| 305 | DO jfl = 1, jpnfl |
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| 306 | DO jind1 = 1, 4 |
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| 307 | zlagxv(jfl,jind1) = 1. |
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| 308 | zlagyv(jfl,jind1) = 1. |
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| 309 | zlagzv(jfl,jind1) = 1. |
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| 310 | END DO |
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| 311 | END DO |
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| 312 | |
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| 313 | DO jind1 = 1, 4 |
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| 314 | DO jind2 = 1, 4 |
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| 315 | DO jfl = 1, jpnfl |
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| 316 | IF( jind1 /= jind2 ) THEN |
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[2528] | 317 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
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[3] | 318 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
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[2528] | 319 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
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[3] | 320 | ENDIF |
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| 321 | END DO |
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| 322 | END DO |
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| 323 | END DO |
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| 324 | |
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| 325 | ! velocity when we compute at middle time step |
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| 326 | |
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| 327 | DO jfl = 1, jpnfl |
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| 328 | DO jind1 = 1, 4 |
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| 329 | DO jind2 = 1, 4 |
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| 330 | DO jind3 = 1 ,4 |
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| 331 | ztvfl(jfl,jind1,jind2,jind3)= & |
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[2528] | 332 | & ( tcoef1(ki) * vb(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) + & |
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| 333 | & tcoef2(ki) * vn(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3)) ) & |
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[3] | 334 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
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| 335 | END DO |
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| 336 | END DO |
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| 337 | END DO |
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| 338 | |
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| 339 | zsumv=0. |
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| 340 | DO jind1 = 1, 4 |
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| 341 | DO jind2 = 1, 4 |
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| 342 | DO jind3 = 1, 4 |
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| 343 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
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| 344 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 345 | END DO |
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| 346 | END DO |
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| 347 | END DO |
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| 348 | pvfl(jfl) = zsumv |
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| 349 | END DO |
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| 350 | |
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| 351 | ! Interpolation of W velocity |
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| 352 | |
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| 353 | ! nearest neightboring point for computation of w |
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| 354 | DO jfl = 1, jpnfl |
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[2528] | 355 | iilw(jfl) = INT( pxt(jfl) ) |
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| 356 | ijlw(jfl) = INT( pyt(jfl) ) |
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| 357 | iklw(jfl) = INT( pzt(jfl)+.5) |
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[3] | 358 | END DO |
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| 359 | |
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| 360 | ! 64 neightboring points for computation of w |
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| 361 | DO jind1 = 1, 4 |
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| 362 | DO jfl = 1, jpnfl |
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| 363 | ! i-direction |
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[2528] | 364 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
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[3] | 365 | ELSE |
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[2528] | 366 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
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| 367 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
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[3] | 368 | ENDIF |
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| 369 | ENDIF |
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| 370 | ! j-direction |
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[2528] | 371 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
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[3] | 372 | ELSE |
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[2528] | 373 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
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| 374 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
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[3] | 375 | ENDIF |
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| 376 | ENDIF |
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| 377 | ! k-direction |
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[2528] | 378 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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[3] | 379 | ELSE |
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[2528] | 380 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 381 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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[3] | 382 | ENDIF |
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| 383 | ENDIF |
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| 384 | END DO |
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| 385 | END DO |
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| 386 | DO jind1 = 1, 4 |
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| 387 | DO jfl = 1, jpnfl |
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[2528] | 388 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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[3] | 389 | ELSE |
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[2528] | 390 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 391 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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[3] | 392 | ENDIF |
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| 393 | ENDIF |
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| 394 | END DO |
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| 395 | END DO |
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| 396 | |
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| 397 | ! Lagrange coefficients for w interpolation |
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| 398 | DO jfl = 1, jpnfl |
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| 399 | DO jind1 = 1, 4 |
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| 400 | zlagxw(jfl,jind1) = 1. |
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| 401 | zlagyw(jfl,jind1) = 1. |
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| 402 | zlagzw(jfl,jind1) = 1. |
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| 403 | END DO |
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| 404 | END DO |
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| 405 | DO jind1 = 1, 4 |
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| 406 | DO jind2 = 1, 4 |
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| 407 | DO jfl = 1, jpnfl |
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| 408 | IF( jind1 /= jind2 ) THEN |
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[2528] | 409 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
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| 410 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
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[3] | 411 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
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| 412 | ENDIF |
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| 413 | END DO |
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| 414 | END DO |
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| 415 | END DO |
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| 416 | |
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| 417 | ! velocity w when we compute at middle time step |
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| 418 | DO jfl = 1, jpnfl |
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| 419 | DO jind1 = 1, 4 |
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| 420 | DO jind2 = 1, 4 |
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| 421 | DO jind3 = 1, 4 |
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| 422 | ztwfl(jfl,jind1,jind2,jind3)= & |
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[2528] | 423 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
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| 424 | & tcoef2(ki) * wn(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
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[6140] | 425 | & / e3w_n(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) |
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[3] | 426 | END DO |
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| 427 | END DO |
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| 428 | END DO |
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| 429 | |
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[2528] | 430 | zsumw = 0.e0 |
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[3] | 431 | DO jind1 = 1, 4 |
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| 432 | DO jind2 = 1, 4 |
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| 433 | DO jind3 = 1, 4 |
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| 434 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
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| 435 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 436 | END DO |
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| 437 | END DO |
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| 438 | END DO |
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| 439 | pwfl(jfl) = zsumw |
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| 440 | END DO |
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[2528] | 441 | ! |
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[3294] | 442 | ! |
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[3] | 443 | END SUBROUTINE flo_interp |
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| 444 | |
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| 445 | !!====================================================================== |
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| 446 | END MODULE flo4rk |
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