[524] | 1 | ! $Header$ |
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[5099] | 2 | |
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[5136] | 3 | SUBROUTINE advy(limit, dty, pbarv, sm, s0, sx, sy, sz) |
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| 4 | USE lmdz_comgeom2 |
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| 5 | |
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[5105] | 6 | IMPLICIT NONE |
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[524] | 7 | |
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[5105] | 8 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 9 | ! C |
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| 10 | ! first-order moments (SOM) advection of tracer in Y direction C |
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| 11 | ! C |
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| 12 | ! Source : Pascal Simon ( Meteo, CNRM ) C |
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| 13 | ! Adaptation : A.A. (LGGE) C |
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| 14 | ! Derniere Modif : 15/12/94 LAST |
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[5136] | 15 | ! C |
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[5105] | 16 | ! sont les arguments d'entree pour le s-pg C |
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| 17 | ! C |
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| 18 | ! argument de sortie du s-pg C |
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| 19 | ! C |
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| 20 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 21 | !CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC |
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| 22 | ! |
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| 23 | ! Rem : Probleme aux poles il faut reecrire ce cas specifique |
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| 24 | ! Attention au sens de l'indexation |
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| 25 | ! |
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| 26 | ! parametres principaux du modele |
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| 27 | ! |
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| 28 | ! |
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[5134] | 29 | INCLUDE "dimensions.h" |
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| 30 | INCLUDE "paramet.h" |
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[524] | 31 | |
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[5105] | 32 | ! Arguments : |
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| 33 | ! ---------- |
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| 34 | ! dty : frequence fictive d'appel du transport |
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| 35 | ! parbu,pbarv : flux de masse en x et y en Pa.m2.s-1 |
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[524] | 36 | |
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[5136] | 37 | INTEGER :: lon, lat, niv |
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| 38 | INTEGER :: i, j, jv, k, kp, l |
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[5105] | 39 | INTEGER :: ntra |
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| 40 | PARAMETER (ntra = 1) |
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[524] | 41 | |
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[5105] | 42 | REAL :: dty |
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[5136] | 43 | REAL :: pbarv (iip1, jjm, llm) |
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[524] | 44 | |
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[5105] | 45 | ! moments: SM total mass in each grid box |
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[5136] | 46 | ! S0 mass of tracer in each grid box |
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| 47 | ! Si 1rst order moment in i direction |
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[5105] | 48 | ! |
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[5136] | 49 | REAL :: SM(iip1, jjp1, llm) & |
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| 50 | , S0(iip1, jjp1, llm, ntra) |
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| 51 | REAL :: sx(iip1, jjp1, llm, ntra) & |
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| 52 | , sy(iip1, jjp1, llm, ntra) & |
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| 53 | , sz(iip1, jjp1, llm, ntra) |
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[524] | 54 | |
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| 55 | |
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[5105] | 56 | ! Local : |
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| 57 | ! ------- |
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[524] | 58 | |
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[5105] | 59 | ! mass fluxes across the boundaries (UGRI,VGRI,WGRI) |
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| 60 | ! mass fluxes in kg |
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| 61 | ! declaration : |
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[524] | 62 | |
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[5136] | 63 | REAL :: VGRI(iip1, 0:jjp1, llm) |
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[524] | 64 | |
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[5105] | 65 | ! Rem : UGRI et WGRI ne sont pas utilises dans |
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| 66 | ! cette SUBROUTINE ( advection en y uniquement ) |
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| 67 | ! Rem 2 :le dimensionnement de VGRI depend de celui de pbarv |
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| 68 | ! |
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| 69 | ! the moments F are similarly defined and used as temporary |
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| 70 | ! storage for portions of the grid boxes in transit |
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| 71 | ! |
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[5136] | 72 | REAL :: F0(iim, 0:jjp1, ntra), FM(iim, 0:jjp1) |
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| 73 | REAL :: FX(iim, jjm, ntra), FY(iim, jjm, ntra) |
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| 74 | REAL :: FZ(iim, jjm, ntra) |
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[5105] | 75 | REAL :: S00(ntra) |
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| 76 | REAL :: SM0 ! Just temporal variable |
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| 77 | ! |
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| 78 | ! work arrays |
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| 79 | ! |
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[5136] | 80 | REAL :: ALF(iim, 0:jjp1), ALF1(iim, 0:jjp1) |
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| 81 | REAL :: ALFQ(iim, 0:jjp1), ALF1Q(iim, 0:jjp1) |
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[5105] | 82 | REAL :: TEMPTM ! Just temporal variable |
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| 83 | ! |
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| 84 | ! Special pour poles |
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| 85 | ! |
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[5136] | 86 | REAL :: sbms, sfms, sfzs, sbmn, sfmn, sfzn |
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| 87 | REAL :: sns0(ntra), snsz(ntra), snsm |
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| 88 | REAL :: s1v(llm), slatv(llm) |
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| 89 | REAL :: qy1(iim, llm, ntra), qylat(iim, llm, ntra) |
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| 90 | REAL :: cx1(llm, ntra), cxLAT(llm, ntra) |
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| 91 | REAL :: cy1(llm, ntra), cyLAT(llm, ntra) |
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[5105] | 92 | REAL :: z1(iim), zcos(iim), zsin(iim) |
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[5136] | 93 | REAL :: smpn, smps, s0pn, s0ps |
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[5105] | 94 | ! |
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[5136] | 95 | REAL :: sqi, sqf |
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[5105] | 96 | LOGICAL :: LIMIT |
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[524] | 97 | |
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[5105] | 98 | lon = iim ! rem : Il est possible qu'un pbl. arrive ici |
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| 99 | lat = jjp1 ! a cause des dim. differentes entre les |
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[5136] | 100 | niv = llm |
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[524] | 101 | |
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[5105] | 102 | ! |
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| 103 | ! the moments Fi are used as temporary storage for |
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| 104 | ! portions of the grid boxes in transit at the current level |
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| 105 | ! |
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| 106 | ! work arrays |
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| 107 | ! |
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[524] | 108 | |
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[5136] | 109 | DO l = 1, llm |
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| 110 | DO j = 1, jjm |
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| 111 | DO i = 1, iip1 |
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| 112 | vgri (i, j, llm + 1 - l) = -1. * pbarv(i, j, l) |
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| 113 | enddo |
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| 114 | enddo |
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| 115 | do i = 1, iip1 |
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| 116 | vgri(i, 0, l) = 0. |
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| 117 | vgri(i, jjp1, l) = 0. |
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| 118 | enddo |
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[5105] | 119 | enddo |
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| 120 | |
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[5136] | 121 | DO L = 1, NIV |
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| 122 | ! |
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| 123 | ! place limits on appropriate moments before transport |
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| 124 | ! (if flux-limiting is to be applied) |
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| 125 | ! |
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| 126 | IF(.NOT.LIMIT) GO TO 11 |
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| 127 | ! |
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| 128 | DO JV = 1, NTRA |
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| 129 | DO K = 1, LAT |
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| 130 | DO I = 1, LON |
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| 131 | sy(I, K, L, JV) = SIGN(AMIN1(AMAX1(S0(I, K, L, JV), 0.), & |
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| 132 | ABS(sy(I, K, L, JV))), sy(I, K, L, JV)) |
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| 133 | END DO |
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| 134 | END DO |
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| 135 | END DO |
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| 136 | ! |
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| 137 | 11 CONTINUE |
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| 138 | ! |
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| 139 | ! le flux a travers le pole Nord est traite separement |
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| 140 | ! |
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| 141 | SM0 = 0. |
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| 142 | DO JV = 1, NTRA |
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| 143 | S00(JV) = 0. |
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| 144 | END DO |
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| 145 | ! |
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| 146 | DO I = 1, LON |
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| 147 | ! |
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| 148 | IF(VGRI(I, 0, L)<=0.) THEN |
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| 149 | FM(I, 0) = -VGRI(I, 0, L) * DTY |
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| 150 | ALF(I, 0) = FM(I, 0) / SM(I, 1, L) |
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| 151 | SM(I, 1, L) = SM(I, 1, L) - FM(I, 0) |
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| 152 | SM0 = SM0 + FM(I, 0) |
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| 153 | ENDIF |
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| 154 | ! |
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| 155 | ALFQ(I, 0) = ALF(I, 0) * ALF(I, 0) |
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| 156 | ALF1(I, 0) = 1. - ALF(I, 0) |
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| 157 | ALF1Q(I, 0) = ALF1(I, 0) * ALF1(I, 0) |
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| 158 | ! |
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| 159 | END DO |
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| 160 | ! |
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| 161 | DO JV = 1, NTRA |
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| 162 | DO I = 1, LON |
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| 163 | ! |
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| 164 | IF(VGRI(I, 0, L)<=0.) THEN |
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| 165 | ! |
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| 166 | F0(I, 0, JV) = ALF(I, 0) * & |
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| 167 | (S0(I, 1, L, JV) - ALF1(I, 0) * sy(I, 1, L, JV)) |
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| 168 | ! |
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| 169 | S00(JV) = S00(JV) + F0(I, 0, JV) |
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| 170 | S0(I, 1, L, JV) = S0(I, 1, L, JV) - F0(I, 0, JV) |
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| 171 | sy(I, 1, L, JV) = ALF1Q(I, 0) * sy(I, 1, L, JV) |
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| 172 | sx(I, 1, L, JV) = ALF1 (I, 0) * sx(I, 1, L, JV) |
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| 173 | sz(I, 1, L, JV) = ALF1 (I, 0) * sz(I, 1, L, JV) |
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| 174 | ! |
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| 175 | ENDIF |
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| 176 | ! |
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| 177 | END DO |
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| 178 | END DO |
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| 179 | ! |
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| 180 | DO I = 1, LON |
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| 181 | IF(VGRI(I, 0, L)>0.) THEN |
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| 182 | FM(I, 0) = VGRI(I, 0, L) * DTY |
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| 183 | ALF(I, 0) = FM(I, 0) / SM0 |
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| 184 | ENDIF |
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| 185 | END DO |
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| 186 | ! |
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| 187 | DO JV = 1, NTRA |
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| 188 | DO I = 1, LON |
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| 189 | IF(VGRI(I, 0, L)>0.) THEN |
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| 190 | F0(I, 0, JV) = ALF(I, 0) * S00(JV) |
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| 191 | ENDIF |
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| 192 | END DO |
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| 193 | END DO |
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| 194 | ! |
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| 195 | ! puts the temporary moments Fi into appropriate neighboring boxes |
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| 196 | ! |
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| 197 | DO I = 1, LON |
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| 198 | ! |
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| 199 | IF(VGRI(I, 0, L)>0.) THEN |
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| 200 | SM(I, 1, L) = SM(I, 1, L) + FM(I, 0) |
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| 201 | ALF(I, 0) = FM(I, 0) / SM(I, 1, L) |
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| 202 | ENDIF |
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| 203 | ! |
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| 204 | ALF1(I, 0) = 1. - ALF(I, 0) |
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| 205 | ! |
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| 206 | END DO |
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| 207 | ! |
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| 208 | DO JV = 1, NTRA |
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| 209 | DO I = 1, LON |
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| 210 | ! |
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| 211 | IF(VGRI(I, 0, L)>0.) THEN |
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| 212 | ! |
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| 213 | TEMPTM = ALF(I, 0) * S0(I, 1, L, JV) - ALF1(I, 0) * F0(I, 0, JV) |
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| 214 | S0(I, 1, L, JV) = S0(I, 1, L, JV) + F0(I, 0, JV) |
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| 215 | sy(I, 1, L, JV) = ALF1(I, 0) * sy(I, 1, L, JV) + 3. * TEMPTM |
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| 216 | ! |
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| 217 | ENDIF |
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| 218 | ! |
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| 219 | END DO |
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| 220 | END DO |
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| 221 | ! |
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| 222 | ! calculate flux and moments between adjacent boxes |
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| 223 | ! 1- create temporary moments/masses for partial boxes in transit |
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| 224 | ! 2- reajusts moments remaining in the box |
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| 225 | ! |
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| 226 | ! flux from KP to K if V(K).lt.0 and from K to KP if V(K).gt.0 |
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| 227 | ! |
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| 228 | DO K = 1, LAT - 1 |
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| 229 | KP = K + 1 |
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| 230 | DO I = 1, LON |
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| 231 | ! |
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| 232 | IF(VGRI(I, K, L)<0.) THEN |
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| 233 | FM(I, K) = -VGRI(I, K, L) * DTY |
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| 234 | ALF(I, K) = FM(I, K) / SM(I, KP, L) |
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| 235 | SM(I, KP, L) = SM(I, KP, L) - FM(I, K) |
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| 236 | ELSE |
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| 237 | FM(I, K) = VGRI(I, K, L) * DTY |
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| 238 | ALF(I, K) = FM(I, K) / SM(I, K, L) |
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| 239 | SM(I, K, L) = SM(I, K, L) - FM(I, K) |
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| 240 | ENDIF |
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| 241 | ! |
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| 242 | ALFQ(I, K) = ALF(I, K) * ALF(I, K) |
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| 243 | ALF1(I, K) = 1. - ALF(I, K) |
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| 244 | ALF1Q(I, K) = ALF1(I, K) * ALF1(I, K) |
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| 245 | ! |
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| 246 | END DO |
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| 247 | END DO |
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| 248 | ! |
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| 249 | DO JV = 1, NTRA |
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| 250 | DO K = 1, LAT - 1 |
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| 251 | KP = K + 1 |
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| 252 | DO I = 1, LON |
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| 253 | ! |
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| 254 | IF(VGRI(I, K, L)<0.) THEN |
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| 255 | ! |
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| 256 | F0(I, K, JV) = ALF (I, K) * & |
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| 257 | (S0(I, KP, L, JV) - ALF1(I, K) * sy(I, KP, L, JV)) |
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| 258 | FY(I, K, JV) = ALFQ(I, K) * sy(I, KP, L, JV) |
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| 259 | FX(I, K, JV) = ALF (I, K) * sx(I, KP, L, JV) |
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| 260 | FZ(I, K, JV) = ALF (I, K) * sz(I, KP, L, JV) |
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| 261 | ! |
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| 262 | S0(I, KP, L, JV) = S0(I, KP, L, JV) - F0(I, K, JV) |
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| 263 | sy(I, KP, L, JV) = ALF1Q(I, K) * sy(I, KP, L, JV) |
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| 264 | sx(I, KP, L, JV) = sx(I, KP, L, JV) - FX(I, K, JV) |
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| 265 | sz(I, KP, L, JV) = sz(I, KP, L, JV) - FZ(I, K, JV) |
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| 266 | ! |
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| 267 | ELSE |
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| 268 | ! |
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| 269 | F0(I, K, JV) = ALF (I, K) * & |
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| 270 | (S0(I, K, L, JV) + ALF1(I, K) * sy(I, K, L, JV)) |
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| 271 | FY(I, K, JV) = ALFQ(I, K) * sy(I, K, L, JV) |
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| 272 | FX(I, K, JV) = ALF(I, K) * sx(I, K, L, JV) |
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| 273 | FZ(I, K, JV) = ALF(I, K) * sz(I, K, L, JV) |
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| 274 | ! |
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| 275 | S0(I, K, L, JV) = S0(I, K, L, JV) - F0(I, K, JV) |
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| 276 | sy(I, K, L, JV) = ALF1Q(I, K) * sy(I, K, L, JV) |
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| 277 | sx(I, K, L, JV) = sx(I, K, L, JV) - FX(I, K, JV) |
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| 278 | sz(I, K, L, JV) = sz(I, K, L, JV) - FZ(I, K, JV) |
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| 279 | ! |
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| 280 | ENDIF |
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| 281 | ! |
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| 282 | END DO |
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| 283 | END DO |
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| 284 | END DO |
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| 285 | ! |
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| 286 | ! puts the temporary moments Fi into appropriate neighboring boxes |
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| 287 | ! |
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| 288 | DO K = 1, LAT - 1 |
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| 289 | KP = K + 1 |
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| 290 | DO I = 1, LON |
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| 291 | ! |
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| 292 | IF(VGRI(I, K, L)<0.) THEN |
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| 293 | SM(I, K, L) = SM(I, K, L) + FM(I, K) |
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| 294 | ALF(I, K) = FM(I, K) / SM(I, K, L) |
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| 295 | ELSE |
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| 296 | SM(I, KP, L) = SM(I, KP, L) + FM(I, K) |
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| 297 | ALF(I, K) = FM(I, K) / SM(I, KP, L) |
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| 298 | ENDIF |
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| 299 | ! |
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| 300 | ALF1(I, K) = 1. - ALF(I, K) |
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| 301 | ! |
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| 302 | END DO |
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| 303 | END DO |
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| 304 | ! |
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| 305 | DO JV = 1, NTRA |
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| 306 | DO K = 1, LAT - 1 |
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| 307 | KP = K + 1 |
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| 308 | DO I = 1, LON |
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| 309 | ! |
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| 310 | IF(VGRI(I, K, L)<0.) THEN |
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| 311 | ! |
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| 312 | TEMPTM = -ALF(I, K) * S0(I, K, L, JV) + ALF1(I, K) * F0(I, K, JV) |
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| 313 | S0(I, K, L, JV) = S0(I, K, L, JV) + F0(I, K, JV) |
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| 314 | sy(I, K, L, JV) = ALF(I, K) * FY(I, K, JV) + ALF1(I, K) * sy(I, K, L, JV) & |
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| 315 | + 3. * TEMPTM |
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| 316 | sx(I, K, L, JV) = sx(I, K, L, JV) + FX(I, K, JV) |
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| 317 | sz(I, K, L, JV) = sz(I, K, L, JV) + FZ(I, K, JV) |
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| 318 | ! |
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| 319 | ELSE |
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| 320 | ! |
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| 321 | TEMPTM = ALF(I, K) * S0(I, KP, L, JV) - ALF1(I, K) * F0(I, K, JV) |
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| 322 | S0(I, KP, L, JV) = S0(I, KP, L, JV) + F0(I, K, JV) |
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| 323 | sy(I, KP, L, JV) = ALF(I, K) * FY(I, K, JV) + ALF1(I, K) * sy(I, KP, L, JV) & |
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| 324 | + 3. * TEMPTM |
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| 325 | sx(I, KP, L, JV) = sx(I, KP, L, JV) + FX(I, K, JV) |
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| 326 | sz(I, KP, L, JV) = sz(I, KP, L, JV) + FZ(I, K, JV) |
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| 327 | ! |
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| 328 | ENDIF |
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| 329 | ! |
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| 330 | END DO |
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| 331 | END DO |
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| 332 | END DO |
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| 333 | ! |
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| 334 | ! traitement special pour le pole Sud (idem pole Nord) |
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| 335 | ! |
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| 336 | K = LAT |
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| 337 | ! |
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| 338 | SM0 = 0. |
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| 339 | DO JV = 1, NTRA |
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| 340 | S00(JV) = 0. |
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| 341 | END DO |
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| 342 | ! |
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| 343 | DO I = 1, LON |
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| 344 | ! |
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| 345 | IF(VGRI(I, K, L)>=0.) THEN |
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| 346 | FM(I, K) = VGRI(I, K, L) * DTY |
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| 347 | ALF(I, K) = FM(I, K) / SM(I, K, L) |
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| 348 | SM(I, K, L) = SM(I, K, L) - FM(I, K) |
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| 349 | SM0 = SM0 + FM(I, K) |
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| 350 | ENDIF |
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| 351 | ! |
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| 352 | ALFQ(I, K) = ALF(I, K) * ALF(I, K) |
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| 353 | ALF1(I, K) = 1. - ALF(I, K) |
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| 354 | ALF1Q(I, K) = ALF1(I, K) * ALF1(I, K) |
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| 355 | ! |
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| 356 | END DO |
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| 357 | ! |
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| 358 | DO JV = 1, NTRA |
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| 359 | DO I = 1, LON |
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| 360 | ! |
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| 361 | IF(VGRI(I, K, L)>=0.) THEN |
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| 362 | F0 (I, K, JV) = ALF(I, K) * & |
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| 363 | (S0(I, K, L, JV) + ALF1(I, K) * sy(I, K, L, JV)) |
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| 364 | S00(JV) = S00(JV) + F0(I, K, JV) |
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| 365 | ! |
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| 366 | S0(I, K, L, JV) = S0 (I, K, L, JV) - F0 (I, K, JV) |
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| 367 | sy(I, K, L, JV) = ALF1Q(I, K) * sy(I, K, L, JV) |
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| 368 | sx(I, K, L, JV) = ALF1(I, K) * sx(I, K, L, JV) |
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| 369 | sz(I, K, L, JV) = ALF1(I, K) * sz(I, K, L, JV) |
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| 370 | ENDIF |
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| 371 | ! |
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| 372 | END DO |
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| 373 | END DO |
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| 374 | ! |
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| 375 | DO I = 1, LON |
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| 376 | IF(VGRI(I, K, L)<0.) THEN |
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| 377 | FM(I, K) = -VGRI(I, K, L) * DTY |
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| 378 | ALF(I, K) = FM(I, K) / SM0 |
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| 379 | ENDIF |
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| 380 | END DO |
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| 381 | ! |
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| 382 | DO JV = 1, NTRA |
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| 383 | DO I = 1, LON |
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| 384 | IF(VGRI(I, K, L)<0.) THEN |
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| 385 | F0(I, K, JV) = ALF(I, K) * S00(JV) |
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| 386 | ENDIF |
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| 387 | END DO |
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| 388 | END DO |
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| 389 | ! |
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| 390 | ! puts the temporary moments Fi into appropriate neighboring boxes |
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| 391 | ! |
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| 392 | DO I = 1, LON |
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| 393 | ! |
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| 394 | IF(VGRI(I, K, L)<0.) THEN |
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| 395 | SM(I, K, L) = SM(I, K, L) + FM(I, K) |
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| 396 | ALF(I, K) = FM(I, K) / SM(I, K, L) |
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| 397 | ENDIF |
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| 398 | ! |
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| 399 | ALF1(I, K) = 1. - ALF(I, K) |
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| 400 | ! |
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| 401 | END DO |
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| 402 | ! |
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| 403 | DO JV = 1, NTRA |
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| 404 | DO I = 1, LON |
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| 405 | ! |
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| 406 | IF(VGRI(I, K, L)<0.) THEN |
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| 407 | ! |
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| 408 | TEMPTM = -ALF(I, K) * S0(I, K, L, JV) + ALF1(I, K) * F0(I, K, JV) |
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| 409 | S0(I, K, L, JV) = S0(I, K, L, JV) + F0(I, K, JV) |
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| 410 | sy(I, K, L, JV) = ALF1(I, K) * sy(I, K, L, JV) + 3. * TEMPTM |
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| 411 | ! |
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| 412 | ENDIF |
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| 413 | ! |
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| 414 | END DO |
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| 415 | END DO |
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| 416 | ! |
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[5105] | 417 | END DO |
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| 418 | ! |
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| 419 | RETURN |
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| 420 | END SUBROUTINE advy |
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[524] | 421 | |
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