[844] | 1 | MODULE compute_caldyn_Coriolis_mod |
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| 2 | USE grid_param, ONLY : llm |
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| 3 | IMPLICIT NONE |
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| 4 | PRIVATE |
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| 5 | |
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[876] | 6 | #include "../unstructured/unstructured.h90" |
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| 7 | |
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[844] | 8 | PUBLIC :: compute_caldyn_Coriolis |
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| 9 | |
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| 10 | CONTAINS |
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| 11 | |
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[876] | 12 | #ifdef BEGIN_DYSL |
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| 13 | |
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| 14 | KERNEL(coriolis) |
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| 15 | ! |
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| 16 | DO iq=1,nqdyn |
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| 17 | FORALL_CELLS_EXT() |
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| 18 | ON_EDGES |
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| 19 | Ftheta(EDGE) = .5*(theta(CELL1,iq)+theta(CELL2,iq))*hflux(EDGE) |
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| 20 | END_BLOCK |
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| 21 | END_BLOCK |
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| 22 | FORALL_CELLS() |
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| 23 | ON_PRIMAL |
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| 24 | divF=0. |
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| 25 | FORALL_EDGES |
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| 26 | divF = divF + Ftheta(EDGE)*SIGN |
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| 27 | END_BLOCK |
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| 28 | dtheta_rhodz(CELL,iq) = -divF / AI |
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| 29 | END_BLOCK |
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| 30 | END_BLOCK |
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| 31 | END DO ! iq |
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| 32 | ! |
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| 33 | FORALL_CELLS() |
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| 34 | ON_PRIMAL |
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| 35 | divF=0. |
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| 36 | FORALL_EDGES |
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| 37 | divF = divF + hflux(EDGE)*SIGN |
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| 38 | END_BLOCK |
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| 39 | convm(CELL) = -divF / AI |
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| 40 | END_BLOCK |
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| 41 | END_BLOCK |
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| 42 | ! |
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| 43 | FORALL_CELLS() |
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| 44 | ON_EDGES |
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| 45 | du_trisk=0. |
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| 46 | FORALL_TRISK |
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| 47 | du_trisk = du_trisk + WEE*hflux(EDGE_TRISK)*(qu(EDGE)+qu(EDGE_TRISK)) |
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| 48 | END_BLOCK |
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| 49 | du(EDGE) = du(EDGE) + .5*du_trisk |
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| 50 | END_BLOCK |
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| 51 | END_BLOCK |
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| 52 | |
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| 53 | END_BLOCK |
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| 54 | |
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| 55 | #endif END_DYSL |
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| 56 | |
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| 57 | SUBROUTINE compute_coriolis_unst(hflux,theta,qu,Ftheta, convm,dtheta_rhodz,du) |
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| 58 | USE ISO_C_BINDING, only : C_DOUBLE, C_FLOAT |
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| 59 | USE grid_param, ONLY : nqdyn |
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| 60 | USE data_unstructured_mod, ONLY : id_coriolis, primal_num, dual_num, edge_num, & |
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| 61 | left, right,primal_deg,primal_edge,primal_ne,trisk_deg,wee,trisk,Ai, & |
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| 62 | enter_trace, exit_trace |
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| 63 | FIELD_U :: hflux, Ftheta, qu, du |
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| 64 | FIELD_MASS :: convm |
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| 65 | FIELD_THETA :: theta, dtheta_rhodz |
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| 66 | DECLARE_INDICES |
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| 67 | DECLARE_EDGES |
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| 68 | NUM :: divF, du_trisk |
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| 69 | START_TRACE(id_coriolis, 3,4,0) ! primal, dual, edge |
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| 70 | #include "../kernels_unst/coriolis.k90" |
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| 71 | STOP_TRACE |
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| 72 | END SUBROUTINE compute_coriolis_unst |
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| 73 | |
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[844] | 74 | SUBROUTINE compute_caldyn_Coriolis(hflux,theta,qu, convm,dtheta_rhodz,du) |
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| 75 | USE icosa |
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| 76 | USE trace |
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| 77 | USE caldyn_vars_mod |
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| 78 | USE omp_para, ONLY : ll_begin, ll_end |
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| 79 | REAL(rstd),INTENT(IN) :: hflux(3*iim*jjm,llm) ! hflux in kg/s |
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| 80 | REAL(rstd),INTENT(IN) :: theta(iim*jjm,llm,nqdyn) ! active scalars |
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| 81 | REAL(rstd),INTENT(IN) :: qu(3*iim*jjm,llm) |
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| 82 | REAL(rstd),INTENT(OUT) :: convm(iim*jjm,llm) ! mass flux convergence |
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| 83 | REAL(rstd),INTENT(OUT) :: dtheta_rhodz(iim*jjm,llm,nqdyn) |
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| 84 | REAL(rstd),INTENT(INOUT) :: du(3*iim*jjm,llm) |
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| 85 | |
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| 86 | REAL(rstd) :: Ftheta(3*iim*jjm,llm) ! potential temperature flux |
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| 87 | REAL(rstd) :: uu_right, uu_lup, uu_ldown, du_trisk, divF |
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| 88 | INTEGER :: ij,iq,l,kdown |
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| 89 | |
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| 90 | CALL trace_start("compute_caldyn_Coriolis") |
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| 91 | |
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| 92 | IF(dysl_caldyn_coriolis) THEN |
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| 93 | |
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| 94 | #include "../kernels_hex/coriolis.k90" |
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| 95 | |
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| 96 | ELSE |
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| 97 | #define FTHETA(ij) Ftheta(ij,1) |
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| 98 | |
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| 99 | DO l=ll_begin, ll_end |
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| 100 | ! compute theta flux |
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| 101 | DO iq=1,nqdyn |
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| 102 | !DIR$ SIMD |
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| 103 | DO ij=ij_begin_ext,ij_end_ext |
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| 104 | FTHETA(ij+u_right) = 0.5*(theta(ij,l,iq)+theta(ij+t_right,l,iq)) & |
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| 105 | * hflux(ij+u_right,l) |
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| 106 | FTHETA(ij+u_lup) = 0.5*(theta(ij,l,iq)+theta(ij+t_lup,l,iq)) & |
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| 107 | * hflux(ij+u_lup,l) |
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| 108 | FTHETA(ij+u_ldown) = 0.5*(theta(ij,l,iq)+theta(ij+t_ldown,l,iq)) & |
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| 109 | * hflux(ij+u_ldown,l) |
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| 110 | END DO |
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| 111 | ! horizontal divergence of fluxes |
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| 112 | !DIR$ SIMD |
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| 113 | DO ij=ij_begin,ij_end |
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| 114 | ! dtheta_rhodz = -div(flux.theta) |
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| 115 | dtheta_rhodz(ij,l,iq)= & |
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| 116 | -1./Ai(ij)*(ne_right*FTHETA(ij+u_right) + & |
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| 117 | ne_rup*FTHETA(ij+u_rup) + & |
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| 118 | ne_lup*FTHETA(ij+u_lup) + & |
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| 119 | ne_left*FTHETA(ij+u_left) + & |
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| 120 | ne_ldown*FTHETA(ij+u_ldown) + & |
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| 121 | ne_rdown*FTHETA(ij+u_rdown) ) |
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| 122 | END DO |
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| 123 | END DO |
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| 124 | |
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| 125 | !DIR$ SIMD |
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| 126 | DO ij=ij_begin,ij_end |
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| 127 | ! convm = -div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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| 128 | convm(ij,l)= -1./Ai(ij)*(ne_right*hflux(ij+u_right,l) + & |
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| 129 | ne_rup*hflux(ij+u_rup,l) + & |
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| 130 | ne_lup*hflux(ij+u_lup,l) + & |
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| 131 | ne_left*hflux(ij+u_left,l) + & |
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| 132 | ne_ldown*hflux(ij+u_ldown,l) + & |
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| 133 | ne_rdown*hflux(ij+u_rdown,l)) |
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| 134 | END DO ! ij |
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| 135 | END DO ! llm |
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| 136 | |
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| 137 | !!! Compute potential vorticity (Coriolis) contribution to du |
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| 138 | SELECT CASE(caldyn_conserv) |
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| 139 | |
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| 140 | CASE(conserv_energy) ! energy-conserving TRiSK |
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| 141 | |
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| 142 | DO l=ll_begin,ll_end |
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| 143 | !DIR$ SIMD |
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| 144 | DO ij=ij_begin,ij_end |
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| 145 | uu_right = & |
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| 146 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)*(qu(ij+u_right,l)+qu(ij+u_rup,l))+ & |
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| 147 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)*(qu(ij+u_right,l)+qu(ij+u_lup,l))+ & |
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| 148 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
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| 149 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+u_ldown,l))+ & |
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| 150 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+u_rdown,l))+ & |
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| 151 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_ldown,l))+ & |
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| 152 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_rdown,l))+ & |
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| 153 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_right,l))+ & |
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| 154 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_rup,l))+ & |
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| 155 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_lup,l)) |
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| 156 | uu_lup = & |
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| 157 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*(qu(ij+u_lup,l)+qu(ij+u_left,l)) + & |
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| 158 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+u_ldown,l)) + & |
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| 159 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
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| 160 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*(qu(ij+u_lup,l)+qu(ij+u_right,l)) + & |
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| 161 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+u_rup,l)) + & |
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| 162 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_right,l)) + & |
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| 163 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_rup,l)) + & |
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| 164 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_lup,l)) + & |
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| 165 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_left,l)) + & |
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| 166 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_ldown,l)) |
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| 167 | uu_ldown = & |
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| 168 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+u_rdown,l)) + & |
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| 169 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+u_right,l)) + & |
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| 170 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
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| 171 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+u_lup,l)) + & |
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| 172 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+u_left,l)) + & |
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| 173 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_lup,l)) + & |
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| 174 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_left,l)) + & |
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| 175 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_ldown,l)) + & |
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| 176 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_rdown,l)) + & |
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| 177 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_right,l)) |
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| 178 | du(ij+u_right,l) = du(ij+u_right,l) + .5*uu_right |
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| 179 | du(ij+u_lup,l) = du(ij+u_lup,l) + .5*uu_lup |
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| 180 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + .5*uu_ldown |
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| 181 | ENDDO |
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| 182 | ENDDO |
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| 183 | |
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| 184 | CASE(conserv_gassmann) ! energy-conserving TRiSK modified by Gassmann (2018) |
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| 185 | |
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| 186 | DO l=ll_begin,ll_end |
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| 187 | !DIR$ SIMD |
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| 188 | DO ij=ij_begin,ij_end |
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| 189 | uu_right = & |
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| 190 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l) *qu(ij+t_right+u_lup,l)+ & |
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| 191 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l) *qu(ij+u_rup,l)+ & |
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| 192 | .5*wee(ij+u_right,3,1)*hflux(ij+u_left,l)*(qu(ij+u_right,l)+qu(ij+u_left,l))+ & |
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| 193 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)*qu(ij+u_rdown,l)+ & |
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| 194 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
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| 195 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)*qu(ij+u_rdown,l)+ & |
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| 196 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)*qu(ij+t_right+u_ldown,l)+ & |
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| 197 | .5*wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)*(qu(ij+u_right,l)+qu(ij+t_right+u_right,l))+ & |
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| 198 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)*qu(ij+t_right+u_lup,l)+ & |
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| 199 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l)*qu(ij+u_rup,l) |
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| 200 | uu_lup = & |
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| 201 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
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| 202 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)*qu(ij+u_left,l) + & |
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| 203 | .5*wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)*(qu(ij+u_lup,l)+qu(ij+u_rdown,l)) + & |
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| 204 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)*qu(ij+u_rup,l) + & |
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| 205 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)*qu(ij+t_lup+u_right,l)+ & |
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| 206 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)*qu(ij+u_rup,l) + & |
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| 207 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)*qu(ij+t_lup+u_right,l) + & |
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| 208 | .5*wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)*(qu(ij+u_lup,l)+qu(ij+t_lup+u_lup,l)) + & |
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| 209 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)*qu(ij+t_lup+u_ldown,l) + & |
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| 210 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l)*qu(ij+u_left,l) |
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| 211 | uu_ldown = & |
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| 212 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)*qu(ij+t_ldown,l+u_right) + & |
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| 213 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)*qu(ij+u_rdown,l) + & |
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| 214 | .5*wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)*(qu(ij+u_ldown,l)+qu(ij+u_rup,l)) + & |
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| 215 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)*qu(ij+u_left,l) + & |
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| 216 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
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| 217 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)*qu(ij+u_left,l) + & |
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| 218 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)*qu(ij+t_ldown+u_lup,l) + & |
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| 219 | .5*wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)*(qu(ij+u_ldown,l)+qu(ij+t_ldown+u_ldown,l)) + & |
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| 220 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)*qu(ij+t_ldown+u_right,l) + & |
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| 221 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l)*qu(ij+u_rdown,l) |
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| 222 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right |
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| 223 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup |
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| 224 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown |
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| 225 | ENDDO |
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| 226 | ENDDO |
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| 227 | |
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| 228 | CASE(conserv_enstrophy) ! enstrophy-conserving TRiSK |
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| 229 | |
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| 230 | DO l=ll_begin,ll_end |
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| 231 | !DIR$ SIMD |
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| 232 | DO ij=ij_begin,ij_end |
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| 233 | uu_right = & |
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| 234 | wee(ij+u_right,1,1)*hflux(ij+u_rup,l)+ & |
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| 235 | wee(ij+u_right,2,1)*hflux(ij+u_lup,l)+ & |
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| 236 | wee(ij+u_right,3,1)*hflux(ij+u_left,l)+ & |
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| 237 | wee(ij+u_right,4,1)*hflux(ij+u_ldown,l)+ & |
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| 238 | wee(ij+u_right,5,1)*hflux(ij+u_rdown,l)+ & |
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| 239 | wee(ij+u_right,1,2)*hflux(ij+t_right+u_ldown,l)+ & |
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| 240 | wee(ij+u_right,2,2)*hflux(ij+t_right+u_rdown,l)+ & |
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| 241 | wee(ij+u_right,3,2)*hflux(ij+t_right+u_right,l)+ & |
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| 242 | wee(ij+u_right,4,2)*hflux(ij+t_right+u_rup,l)+ & |
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| 243 | wee(ij+u_right,5,2)*hflux(ij+t_right+u_lup,l) |
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| 244 | uu_lup = & |
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| 245 | wee(ij+u_lup,1,1)*hflux(ij+u_left,l)+ & |
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| 246 | wee(ij+u_lup,2,1)*hflux(ij+u_ldown,l)+ & |
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| 247 | wee(ij+u_lup,3,1)*hflux(ij+u_rdown,l)+ & |
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| 248 | wee(ij+u_lup,4,1)*hflux(ij+u_right,l)+ & |
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| 249 | wee(ij+u_lup,5,1)*hflux(ij+u_rup,l)+ & |
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| 250 | wee(ij+u_lup,1,2)*hflux(ij+t_lup+u_right,l)+ & |
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| 251 | wee(ij+u_lup,2,2)*hflux(ij+t_lup+u_rup,l)+ & |
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| 252 | wee(ij+u_lup,3,2)*hflux(ij+t_lup+u_lup,l)+ & |
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| 253 | wee(ij+u_lup,4,2)*hflux(ij+t_lup+u_left,l)+ & |
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| 254 | wee(ij+u_lup,5,2)*hflux(ij+t_lup+u_ldown,l) |
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| 255 | uu_ldown = & |
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| 256 | wee(ij+u_ldown,1,1)*hflux(ij+u_rdown,l)+ & |
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| 257 | wee(ij+u_ldown,2,1)*hflux(ij+u_right,l)+ & |
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| 258 | wee(ij+u_ldown,3,1)*hflux(ij+u_rup,l)+ & |
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| 259 | wee(ij+u_ldown,4,1)*hflux(ij+u_lup,l)+ & |
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| 260 | wee(ij+u_ldown,5,1)*hflux(ij+u_left,l)+ & |
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| 261 | wee(ij+u_ldown,1,2)*hflux(ij+t_ldown+u_lup,l)+ & |
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| 262 | wee(ij+u_ldown,2,2)*hflux(ij+t_ldown+u_left,l)+ & |
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| 263 | wee(ij+u_ldown,3,2)*hflux(ij+t_ldown+u_ldown,l)+ & |
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| 264 | wee(ij+u_ldown,4,2)*hflux(ij+t_ldown+u_rdown,l)+ & |
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| 265 | wee(ij+u_ldown,5,2)*hflux(ij+t_ldown+u_right,l) |
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| 266 | |
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| 267 | du(ij+u_right,l) = du(ij+u_right,l) + uu_right*qu(ij+u_right,l) |
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| 268 | du(ij+u_lup,l) = du(ij+u_lup,l) + uu_lup*qu(ij+u_lup,l) |
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| 269 | du(ij+u_ldown,l) = du(ij+u_ldown,l) + uu_ldown*qu(ij+u_ldown,l) |
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| 270 | END DO |
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| 271 | END DO |
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| 272 | CASE DEFAULT |
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| 273 | STOP |
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| 274 | END SELECT |
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| 275 | #undef FTHETA |
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| 276 | |
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| 277 | END IF ! dysl |
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| 278 | |
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| 279 | CALL trace_end("compute_caldyn_Coriolis") |
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| 280 | |
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| 281 | END SUBROUTINE compute_caldyn_Coriolis |
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| 282 | |
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| 283 | END MODULE compute_caldyn_Coriolis_mod |
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