[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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[13237] | 28 | # include "domzgr_substitute.h90" |
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[3] | 29 | !!---------------------------------------------------------------------- |
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[9598] | 30 | !! NEMO/OCE 4.0 , NEMO Consortium (2018) |
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[1152] | 31 | !! $Id$ |
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[10068] | 32 | !! Software governed by the CeCILL license (see ./LICENSE) |
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[3] | 33 | !!---------------------------------------------------------------------- |
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| 34 | CONTAINS |
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| 35 | |
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[12377] | 36 | SUBROUTINE flo_4rk( kt, Kbb, Kmm ) |
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[3] | 37 | !!---------------------------------------------------------------------- |
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| 38 | !! *** ROUTINE flo_4rk *** |
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| 39 | !! |
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| 40 | !! ** Purpose : Compute the geographical position (lat,lon,depth) |
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| 41 | !! of each float at each time step. |
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| 42 | !! |
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| 43 | !! ** Method : The position of a float is computed with a 4th order |
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| 44 | !! Runge-Kutta scheme and and Lagrange interpolation. |
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| 45 | !! We need to know the velocity field, the old positions of the |
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| 46 | !! floats and the grid defined on the domain. |
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[2528] | 47 | !!---------------------------------------------------------------------- |
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[12377] | 48 | INTEGER, INTENT(in) :: kt ! ocean time-step index |
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| 49 | INTEGER, INTENT(in) :: Kbb, Kmm ! ocean time level indices |
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[3] | 50 | !! |
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| 51 | INTEGER :: jfl, jind ! dummy loop indices |
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[3294] | 52 | INTEGER :: ierror ! error value |
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| 53 | |
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[9125] | 54 | REAL(wp), DIMENSION(jpnfl) :: zgifl , zgjfl , zgkfl ! index RK positions |
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| 55 | REAL(wp), DIMENSION(jpnfl) :: zufl , zvfl , zwfl ! interpolated velocity at the float position |
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| 56 | REAL(wp), DIMENSION(jpnfl,4) :: zrkxfl, zrkyfl, zrkzfl ! RK coefficients |
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[3] | 57 | !!--------------------------------------------------------------------- |
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[3294] | 58 | ! |
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| 59 | IF( ierror /= 0 ) THEN |
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| 60 | WRITE(numout,*) 'flo_4rk: allocation of workspace arrays failed' |
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| 61 | ENDIF |
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| 62 | |
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[3] | 63 | |
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| 64 | IF( kt == nit000 ) THEN |
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| 65 | IF(lwp) WRITE(numout,*) |
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| 66 | IF(lwp) WRITE(numout,*) 'flo_4rk : compute Runge Kutta trajectories for floats ' |
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| 67 | IF(lwp) WRITE(numout,*) '~~~~~~~' |
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| 68 | ENDIF |
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| 69 | |
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| 70 | ! Verification of the floats positions. If one of them leave the domain |
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| 71 | ! domain we replace the float near the border. |
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| 72 | DO jfl = 1, jpnfl |
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| 73 | ! i-direction |
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| 74 | IF( tpifl(jfl) <= 1.5 ) THEN |
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| 75 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 76 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the WEST border.' |
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| 77 | tpifl(jfl) = tpifl(jfl) + 1. |
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| 78 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=',tpifl(jfl) |
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| 79 | ENDIF |
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| 80 | |
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| 81 | IF( tpifl(jfl) >= jpi-.5 ) THEN |
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| 82 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 83 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the EAST border.' |
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| 84 | tpifl(jfl) = tpifl(jfl) - 1. |
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| 85 | IF(lwp)WRITE(numout,*)'New initialisation for this float at i=', tpifl(jfl) |
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| 86 | ENDIF |
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| 87 | ! j-direction |
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| 88 | IF( tpjfl(jfl) <= 1.5 ) THEN |
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| 89 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 90 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the SOUTH border.' |
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| 91 | tpjfl(jfl) = tpjfl(jfl) + 1. |
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| 92 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 93 | ENDIF |
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| 94 | |
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| 95 | IF( tpjfl(jfl) >= jpj-.5 ) THEN |
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| 96 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 97 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the NORTH border.' |
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| 98 | tpjfl(jfl) = tpjfl(jfl) - 1. |
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| 99 | IF(lwp)WRITE(numout,*)'New initialisation for this float at j=', tpjfl(jfl) |
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| 100 | ENDIF |
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| 101 | ! k-direction |
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| 102 | IF( tpkfl(jfl) <= .5 ) THEN |
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| 103 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 104 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the TOP border.' |
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| 105 | tpkfl(jfl) = tpkfl(jfl) + 1. |
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| 106 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 107 | ENDIF |
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| 108 | |
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| 109 | IF( tpkfl(jfl) >= jpk-.5 ) THEN |
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| 110 | IF(lwp)WRITE(numout,*)'!!!!!!!!!!!!! WARNING !!!!!!!!!!!!!!!!' |
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| 111 | IF(lwp)WRITE(numout,*)'The float',jfl,'is out of the domain at the BOTTOM border.' |
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| 112 | tpkfl(jfl) = tpkfl(jfl) - 1. |
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| 113 | IF(lwp)WRITE(numout,*)'New initialisation for this float at k=', tpkfl(jfl) |
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| 114 | ENDIF |
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| 115 | END DO |
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| 116 | |
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| 117 | ! 4 steps of Runge-Kutta algorithme |
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| 118 | ! initialisation of the positions |
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| 119 | |
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| 120 | DO jfl = 1, jpnfl |
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| 121 | zgifl(jfl) = tpifl(jfl) |
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| 122 | zgjfl(jfl) = tpjfl(jfl) |
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| 123 | zgkfl(jfl) = tpkfl(jfl) |
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| 124 | END DO |
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| 125 | |
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[2528] | 126 | DO jind = 1, 4 |
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| 127 | |
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[3] | 128 | ! for each step we compute the compute the velocity with Lagrange interpolation |
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[12377] | 129 | CALL flo_interp( Kbb, Kmm, zgifl, zgjfl, zgkfl, zufl, zvfl, zwfl, jind ) |
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[3] | 130 | |
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| 131 | ! computation of Runge-Kutta factor |
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| 132 | DO jfl = 1, jpnfl |
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[12489] | 133 | zrkxfl(jfl,jind) = rn_Dt*zufl(jfl) |
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| 134 | zrkyfl(jfl,jind) = rn_Dt*zvfl(jfl) |
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| 135 | zrkzfl(jfl,jind) = rn_Dt*zwfl(jfl) |
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[3] | 136 | END DO |
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| 137 | IF( jind /= 4 ) THEN |
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| 138 | DO jfl = 1, jpnfl |
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| 139 | zgifl(jfl) = (tpifl(jfl)) + scoef1(jind)*zrkxfl(jfl,jind) |
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| 140 | zgjfl(jfl) = (tpjfl(jfl)) + scoef1(jind)*zrkyfl(jfl,jind) |
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| 141 | zgkfl(jfl) = (tpkfl(jfl)) + scoef1(jind)*zrkzfl(jfl,jind) |
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| 142 | END DO |
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| 143 | ENDIF |
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| 144 | END DO |
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| 145 | DO jind = 1, 4 |
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| 146 | DO jfl = 1, jpnfl |
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| 147 | tpifl(jfl) = tpifl(jfl) + scoef2(jind)*zrkxfl(jfl,jind)/6. |
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| 148 | tpjfl(jfl) = tpjfl(jfl) + scoef2(jind)*zrkyfl(jfl,jind)/6. |
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| 149 | tpkfl(jfl) = tpkfl(jfl) + scoef2(jind)*zrkzfl(jfl,jind)/6. |
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| 150 | END DO |
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| 151 | END DO |
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[2528] | 152 | ! |
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[3294] | 153 | ! |
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[3] | 154 | END SUBROUTINE flo_4rk |
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| 155 | |
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| 156 | |
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[12377] | 157 | SUBROUTINE flo_interp( Kbb, Kmm, & |
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| 158 | & pxt , pyt , pzt , & |
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[2528] | 159 | & pufl, pvfl, pwfl, ki ) |
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[3] | 160 | !!---------------------------------------------------------------------- |
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| 161 | !! *** ROUTINE flointerp *** |
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| 162 | !! |
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| 163 | !! ** Purpose : Interpolation of the velocity on the float position |
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| 164 | !! |
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| 165 | !! ** Method : Lagrange interpolation with the 64 neighboring |
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| 166 | !! points. This routine is call 4 time at each time step to |
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| 167 | !! compute velocity at the date and the position we need to |
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| 168 | !! integrated with RK method. |
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[2528] | 169 | !!---------------------------------------------------------------------- |
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[12377] | 170 | INTEGER , INTENT(in ) :: Kbb, Kmm ! ocean time level indices |
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[2528] | 171 | REAL(wp) , DIMENSION(jpnfl), INTENT(in ) :: pxt , pyt , pzt ! position of the float |
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| 172 | REAL(wp) , DIMENSION(jpnfl), INTENT( out) :: pufl, pvfl, pwfl ! velocity at this position |
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| 173 | INTEGER , INTENT(in ) :: ki ! |
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[3] | 174 | !! |
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[2528] | 175 | INTEGER :: jfl, jind1, jind2, jind3 ! dummy loop indices |
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| 176 | REAL(wp) :: zsumu, zsumv, zsumw ! local scalar |
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[9125] | 177 | INTEGER , DIMENSION(jpnfl) :: iilu, ijlu, iklu ! nearest neighbour INDEX-u |
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| 178 | INTEGER , DIMENSION(jpnfl) :: iilv, ijlv, iklv ! nearest neighbour INDEX-v |
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| 179 | INTEGER , DIMENSION(jpnfl) :: iilw, ijlw, iklw ! nearest neighbour INDEX-w |
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| 180 | INTEGER , DIMENSION(jpnfl,4) :: iidu, ijdu, ikdu ! 64 nearest neighbour INDEX-u |
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| 181 | INTEGER , DIMENSION(jpnfl,4) :: iidv, ijdv, ikdv ! 64 nearest neighbour INDEX-v |
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| 182 | INTEGER , DIMENSION(jpnfl,4) :: iidw, ijdw, ikdw ! 64 nearest neighbour INDEX-w |
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| 183 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxu, zlagyu, zlagzu ! Lagrange coefficients |
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| 184 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxv, zlagyv, zlagzv ! - - |
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| 185 | REAL(wp) , DIMENSION(jpnfl,4) :: zlagxw, zlagyw, zlagzw ! - - |
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| 186 | REAL(wp) , DIMENSION(jpnfl,4,4,4) :: ztufl , ztvfl , ztwfl ! velocity at choosen time step |
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[3] | 187 | !!--------------------------------------------------------------------- |
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[3294] | 188 | |
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[3] | 189 | ! Interpolation of U velocity |
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| 190 | |
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| 191 | ! nearest neightboring point for computation of u |
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| 192 | DO jfl = 1, jpnfl |
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| 193 | iilu(jfl) = INT(pxt(jfl)-.5) |
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| 194 | ijlu(jfl) = INT(pyt(jfl)-.5) |
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| 195 | iklu(jfl) = INT(pzt(jfl)) |
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| 196 | END DO |
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| 197 | |
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| 198 | ! 64 neightboring points for computation of u |
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| 199 | DO jind1 = 1, 4 |
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| 200 | DO jfl = 1, jpnfl |
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| 201 | ! i-direction |
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[2528] | 202 | IF( iilu(jfl) <= 2 ) THEN ; iidu(jfl,jind1) = jind1 |
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[3] | 203 | ELSE |
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[2528] | 204 | IF( iilu(jfl) >= jpi-1 ) THEN ; iidu(jfl,jind1) = jpi + jind1 - 4 |
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| 205 | ELSE ; iidu(jfl,jind1) = iilu(jfl) + jind1 - 2 |
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[3] | 206 | ENDIF |
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| 207 | ENDIF |
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| 208 | ! j-direction |
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[2528] | 209 | IF( ijlu(jfl) <= 2 ) THEN ; ijdu(jfl,jind1) = jind1 |
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[3] | 210 | ELSE |
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[2528] | 211 | IF( ijlu(jfl) >= jpj-1 ) THEN ; ijdu(jfl,jind1) = jpj + jind1 - 4 |
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| 212 | ELSE ; ijdu(jfl,jind1) = ijlu(jfl) + jind1 - 2 |
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[3] | 213 | ENDIF |
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| 214 | ENDIF |
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| 215 | ! k-direction |
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[2528] | 216 | IF( iklu(jfl) <= 2 ) THEN ; ikdu(jfl,jind1) = jind1 |
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[3] | 217 | ELSE |
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[2528] | 218 | IF( iklu(jfl) >= jpk-1 ) THEN ; ikdu(jfl,jind1) = jpk + jind1 - 4 |
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| 219 | ELSE ; ikdu(jfl,jind1) = iklu(jfl) + jind1 - 2 |
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[3] | 220 | ENDIF |
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| 221 | ENDIF |
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| 222 | END DO |
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| 223 | END DO |
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| 224 | |
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| 225 | ! Lagrange coefficients |
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| 226 | DO jfl = 1, jpnfl |
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| 227 | DO jind1 = 1, 4 |
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| 228 | zlagxu(jfl,jind1) = 1. |
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| 229 | zlagyu(jfl,jind1) = 1. |
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| 230 | zlagzu(jfl,jind1) = 1. |
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| 231 | END DO |
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| 232 | END DO |
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| 233 | DO jind1 = 1, 4 |
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| 234 | DO jind2 = 1, 4 |
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| 235 | DO jfl= 1, jpnfl |
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| 236 | IF( jind1 /= jind2 ) THEN |
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| 237 | zlagxu(jfl,jind1) = zlagxu(jfl,jind1) * ( pxt(jfl)-(float(iidu(jfl,jind2))+.5) ) |
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| 238 | zlagyu(jfl,jind1) = zlagyu(jfl,jind1) * ( pyt(jfl)-(float(ijdu(jfl,jind2))) ) |
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| 239 | zlagzu(jfl,jind1) = zlagzu(jfl,jind1) * ( pzt(jfl)-(float(ikdu(jfl,jind2))) ) |
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| 240 | ENDIF |
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| 241 | END DO |
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| 242 | END DO |
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| 243 | END DO |
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| 244 | |
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| 245 | ! velocity when we compute at middle time step |
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| 246 | |
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| 247 | DO jfl = 1, jpnfl |
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| 248 | DO jind1 = 1, 4 |
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| 249 | DO jind2 = 1, 4 |
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| 250 | DO jind3 = 1, 4 |
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| 251 | ztufl(jfl,jind1,jind2,jind3) = & |
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[12377] | 252 | & ( tcoef1(ki) * uu(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3),Kbb) + & |
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| 253 | & tcoef2(ki) * uu(iidu(jfl,jind1),ijdu(jfl,jind2),ikdu(jfl,jind3),Kmm) ) & |
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[3] | 254 | & / e1u(iidu(jfl,jind1),ijdu(jfl,jind2)) |
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| 255 | END DO |
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| 256 | END DO |
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| 257 | END DO |
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| 258 | |
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| 259 | zsumu = 0. |
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| 260 | DO jind1 = 1, 4 |
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| 261 | DO jind2 = 1, 4 |
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| 262 | DO jind3 = 1, 4 |
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| 263 | zsumu = zsumu + ztufl(jfl,jind1,jind2,jind3) * zlagxu(jfl,jind1) * zlagyu(jfl,jind2) & |
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| 264 | & * zlagzu(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | END DO |
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| 268 | pufl(jfl) = zsumu |
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| 269 | END DO |
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| 270 | |
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| 271 | ! Interpolation of V velocity |
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| 272 | |
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| 273 | ! nearest neightboring point for computation of v |
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| 274 | DO jfl = 1, jpnfl |
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| 275 | iilv(jfl) = INT(pxt(jfl)-.5) |
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| 276 | ijlv(jfl) = INT(pyt(jfl)-.5) |
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| 277 | iklv(jfl) = INT(pzt(jfl)) |
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| 278 | END DO |
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| 279 | |
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| 280 | ! 64 neightboring points for computation of v |
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| 281 | DO jind1 = 1, 4 |
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| 282 | DO jfl = 1, jpnfl |
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| 283 | ! i-direction |
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[2528] | 284 | IF( iilv(jfl) <= 2 ) THEN ; iidv(jfl,jind1) = jind1 |
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[3] | 285 | ELSE |
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[2528] | 286 | IF( iilv(jfl) >= jpi-1 ) THEN ; iidv(jfl,jind1) = jpi + jind1 - 4 |
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| 287 | ELSE ; iidv(jfl,jind1) = iilv(jfl) + jind1 - 2 |
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[3] | 288 | ENDIF |
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| 289 | ENDIF |
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| 290 | ! j-direction |
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[2528] | 291 | IF( ijlv(jfl) <= 2 ) THEN ; ijdv(jfl,jind1) = jind1 |
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[3] | 292 | ELSE |
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[2528] | 293 | IF( ijlv(jfl) >= jpj-1 ) THEN ; ijdv(jfl,jind1) = jpj + jind1 - 4 |
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| 294 | ELSE ; ijdv(jfl,jind1) = ijlv(jfl) + jind1 - 2 |
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[3] | 295 | ENDIF |
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| 296 | ENDIF |
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| 297 | ! k-direction |
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[2528] | 298 | IF( iklv(jfl) <= 2 ) THEN ; ikdv(jfl,jind1) = jind1 |
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[3] | 299 | ELSE |
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[2528] | 300 | IF( iklv(jfl) >= jpk-1 ) THEN ; ikdv(jfl,jind1) = jpk + jind1 - 4 |
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| 301 | ELSE ; ikdv(jfl,jind1) = iklv(jfl) + jind1 - 2 |
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[3] | 302 | ENDIF |
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| 303 | ENDIF |
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| 304 | END DO |
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| 305 | END DO |
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| 306 | |
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| 307 | ! Lagrange coefficients |
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| 308 | |
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| 309 | DO jfl = 1, jpnfl |
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| 310 | DO jind1 = 1, 4 |
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| 311 | zlagxv(jfl,jind1) = 1. |
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| 312 | zlagyv(jfl,jind1) = 1. |
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| 313 | zlagzv(jfl,jind1) = 1. |
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| 314 | END DO |
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| 315 | END DO |
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| 316 | |
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| 317 | DO jind1 = 1, 4 |
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| 318 | DO jind2 = 1, 4 |
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| 319 | DO jfl = 1, jpnfl |
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| 320 | IF( jind1 /= jind2 ) THEN |
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[2528] | 321 | zlagxv(jfl,jind1)= zlagxv(jfl,jind1)*(pxt(jfl) - (float(iidv(jfl,jind2)) ) ) |
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[3] | 322 | zlagyv(jfl,jind1)= zlagyv(jfl,jind1)*(pyt(jfl) - (float(ijdv(jfl,jind2))+.5) ) |
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[2528] | 323 | zlagzv(jfl,jind1)= zlagzv(jfl,jind1)*(pzt(jfl) - (float(ikdv(jfl,jind2)) ) ) |
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[3] | 324 | ENDIF |
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| 325 | END DO |
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| 326 | END DO |
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| 327 | END DO |
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| 328 | |
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| 329 | ! velocity when we compute at middle time step |
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| 330 | |
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| 331 | DO jfl = 1, jpnfl |
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| 332 | DO jind1 = 1, 4 |
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| 333 | DO jind2 = 1, 4 |
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| 334 | DO jind3 = 1 ,4 |
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| 335 | ztvfl(jfl,jind1,jind2,jind3)= & |
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[12377] | 336 | & ( tcoef1(ki) * vv(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3),Kbb) + & |
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| 337 | & tcoef2(ki) * vv(iidv(jfl,jind1),ijdv(jfl,jind2),ikdv(jfl,jind3),Kmm) ) & |
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[3] | 338 | & / e2v(iidv(jfl,jind1),ijdv(jfl,jind2)) |
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| 339 | END DO |
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| 340 | END DO |
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| 341 | END DO |
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| 342 | |
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| 343 | zsumv=0. |
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| 344 | DO jind1 = 1, 4 |
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| 345 | DO jind2 = 1, 4 |
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| 346 | DO jind3 = 1, 4 |
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| 347 | zsumv = zsumv + ztvfl(jfl,jind1,jind2,jind3) * zlagxv(jfl,jind1) * zlagyv(jfl,jind2) & |
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| 348 | & * zlagzv(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 349 | END DO |
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| 350 | END DO |
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| 351 | END DO |
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| 352 | pvfl(jfl) = zsumv |
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| 353 | END DO |
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| 354 | |
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| 355 | ! Interpolation of W velocity |
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| 356 | |
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| 357 | ! nearest neightboring point for computation of w |
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| 358 | DO jfl = 1, jpnfl |
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[2528] | 359 | iilw(jfl) = INT( pxt(jfl) ) |
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| 360 | ijlw(jfl) = INT( pyt(jfl) ) |
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| 361 | iklw(jfl) = INT( pzt(jfl)+.5) |
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[3] | 362 | END DO |
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| 363 | |
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| 364 | ! 64 neightboring points for computation of w |
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| 365 | DO jind1 = 1, 4 |
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| 366 | DO jfl = 1, jpnfl |
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| 367 | ! i-direction |
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[2528] | 368 | IF( iilw(jfl) <= 2 ) THEN ; iidw(jfl,jind1) = jind1 |
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[3] | 369 | ELSE |
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[2528] | 370 | IF( iilw(jfl) >= jpi-1 ) THEN ; iidw(jfl,jind1) = jpi + jind1 - 4 |
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| 371 | ELSE ; iidw(jfl,jind1) = iilw(jfl) + jind1 - 2 |
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[3] | 372 | ENDIF |
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| 373 | ENDIF |
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| 374 | ! j-direction |
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[2528] | 375 | IF( ijlw(jfl) <= 2 ) THEN ; ijdw(jfl,jind1) = jind1 |
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[3] | 376 | ELSE |
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[2528] | 377 | IF( ijlw(jfl) >= jpj-1 ) THEN ; ijdw(jfl,jind1) = jpj + jind1 - 4 |
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| 378 | ELSE ; ijdw(jfl,jind1) = ijlw(jfl) + jind1 - 2 |
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[3] | 379 | ENDIF |
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| 380 | ENDIF |
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| 381 | ! k-direction |
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[2528] | 382 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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[3] | 383 | ELSE |
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[2528] | 384 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 385 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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[3] | 386 | ENDIF |
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| 387 | ENDIF |
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| 388 | END DO |
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| 389 | END DO |
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| 390 | DO jind1 = 1, 4 |
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| 391 | DO jfl = 1, jpnfl |
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[2528] | 392 | IF( iklw(jfl) <= 2 ) THEN ; ikdw(jfl,jind1) = jind1 |
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[3] | 393 | ELSE |
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[2528] | 394 | IF( iklw(jfl) >= jpk-1 ) THEN ; ikdw(jfl,jind1) = jpk + jind1 - 4 |
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| 395 | ELSE ; ikdw(jfl,jind1) = iklw(jfl) + jind1 - 2 |
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[3] | 396 | ENDIF |
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| 397 | ENDIF |
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| 398 | END DO |
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| 399 | END DO |
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| 400 | |
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| 401 | ! Lagrange coefficients for w interpolation |
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| 402 | DO jfl = 1, jpnfl |
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| 403 | DO jind1 = 1, 4 |
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| 404 | zlagxw(jfl,jind1) = 1. |
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| 405 | zlagyw(jfl,jind1) = 1. |
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| 406 | zlagzw(jfl,jind1) = 1. |
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| 407 | END DO |
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| 408 | END DO |
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| 409 | DO jind1 = 1, 4 |
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| 410 | DO jind2 = 1, 4 |
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| 411 | DO jfl = 1, jpnfl |
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| 412 | IF( jind1 /= jind2 ) THEN |
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[2528] | 413 | zlagxw(jfl,jind1) = zlagxw(jfl,jind1) * (pxt(jfl) - (float(iidw(jfl,jind2)) ) ) |
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| 414 | zlagyw(jfl,jind1) = zlagyw(jfl,jind1) * (pyt(jfl) - (float(ijdw(jfl,jind2)) ) ) |
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[3] | 415 | zlagzw(jfl,jind1) = zlagzw(jfl,jind1) * (pzt(jfl) - (float(ikdw(jfl,jind2))-.5) ) |
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| 416 | ENDIF |
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| 417 | END DO |
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| 418 | END DO |
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| 419 | END DO |
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| 420 | |
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| 421 | ! velocity w when we compute at middle time step |
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| 422 | DO jfl = 1, jpnfl |
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| 423 | DO jind1 = 1, 4 |
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| 424 | DO jind2 = 1, 4 |
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| 425 | DO jind3 = 1, 4 |
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| 426 | ztwfl(jfl,jind1,jind2,jind3)= & |
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[2528] | 427 | & ( tcoef1(ki) * wb(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3))+ & |
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[12377] | 428 | & tcoef2(ki) * ww(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3)) ) & |
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| 429 | & / e3w(iidw(jfl,jind1),ijdw(jfl,jind2),ikdw(jfl,jind3),Kmm) |
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[3] | 430 | END DO |
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| 431 | END DO |
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| 432 | END DO |
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| 433 | |
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[2528] | 434 | zsumw = 0.e0 |
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[3] | 435 | DO jind1 = 1, 4 |
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| 436 | DO jind2 = 1, 4 |
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| 437 | DO jind3 = 1, 4 |
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| 438 | zsumw = zsumw + ztwfl(jfl,jind1,jind2,jind3) * zlagxw(jfl,jind1) * zlagyw(jfl,jind2) & |
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| 439 | & * zlagzw(jfl,jind3) * rcoef(jind1)*rcoef(jind2)*rcoef(jind3) |
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| 440 | END DO |
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| 441 | END DO |
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| 442 | END DO |
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| 443 | pwfl(jfl) = zsumw |
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| 444 | END DO |
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[2528] | 445 | ! |
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[3294] | 446 | ! |
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[3] | 447 | END SUBROUTINE flo_interp |
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| 448 | |
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| 449 | !!====================================================================== |
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| 450 | END MODULE flo4rk |
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