[22] | 1 | MODULE advect_mod |
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| 2 | USE icosa |
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| 3 | IMPLICIT NONE |
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[17] | 4 | |
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[138] | 5 | PRIVATE |
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| 6 | |
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| 7 | PUBLIC :: init_advect, compute_backward_traj, compute_gradq3d, compute_advect_horiz |
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| 8 | |
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[17] | 9 | CONTAINS |
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| 10 | |
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[22] | 11 | !========================================================================== |
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[17] | 12 | |
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[252] | 13 | SUBROUTINE init_advect(normal,tangent,sqrt_leng) |
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[22] | 14 | IMPLICIT NONE |
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| 15 | REAL(rstd),INTENT(OUT) :: normal(3*iim*jjm,3) |
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| 16 | REAL(rstd),INTENT(OUT) :: tangent(3*iim*jjm,3) |
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[252] | 17 | REAL(rstd),INTENT(OUT) :: sqrt_leng(iim*jjm) |
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[17] | 18 | |
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[174] | 19 | INTEGER :: ij |
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[22] | 20 | |
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[487] | 21 | !DIR$ SIMD |
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[174] | 22 | DO ij=ij_begin,ij_end |
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[22] | 23 | |
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[174] | 24 | CALL cross_product2(xyz_v(ij+z_rdown,:),xyz_v(ij+z_rup,:),normal(ij+u_right,:)) |
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| 25 | normal(ij+u_right,:)=normal(ij+u_right,:)/sqrt(sum(normal(ij+u_right,:)**2)+1e-50)*ne(ij,right) |
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[22] | 26 | |
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[174] | 27 | CALL cross_product2(xyz_v(ij+z_up,:),xyz_v(ij+z_lup,:),normal(ij+u_lup,:)) |
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| 28 | normal(ij+u_lup,:)=normal(ij+u_lup,:)/sqrt(sum(normal(ij+u_lup,:)**2)+1e-50)*ne(ij,lup) |
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[22] | 29 | |
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[174] | 30 | CALL cross_product2(xyz_v(ij+z_ldown,:),xyz_v(ij+z_down,:),normal(ij+u_ldown,:)) |
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| 31 | normal(ij+u_ldown,:)=normal(ij+u_ldown,:)/sqrt(sum(normal(ij+u_ldown,:)**2)+1e-50)*ne(ij,ldown) |
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[22] | 32 | |
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[174] | 33 | tangent(ij+u_right,:)=xyz_v(ij+z_rup,:)-xyz_v(ij+z_rdown,:) |
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| 34 | tangent(ij+u_right,:)=tangent(ij+u_right,:)/sqrt(sum(tangent(ij+u_right,:)**2)+1e-50) |
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[22] | 35 | |
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[174] | 36 | tangent(ij+u_lup,:)=xyz_v(ij+z_lup,:)-xyz_v(ij+z_up,:) |
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| 37 | tangent(ij+u_lup,:)=tangent(ij+u_lup,:)/sqrt(sum(tangent(ij+u_lup,:)**2)+1e-50) |
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[22] | 38 | |
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[174] | 39 | tangent(ij+u_ldown,:)=xyz_v(ij+z_down,:)-xyz_v(ij+z_ldown,:) |
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| 40 | tangent(ij+u_ldown,:)=tangent(ij+u_ldown,:)/sqrt(sum(tangent(ij+u_ldown,:)**2)+1e-50) |
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[148] | 41 | |
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[252] | 42 | sqrt_leng(ij) = sqrt(max(sum((xyz_v(ij+z_up,:) - xyz_i(ij,:))**2),sum((xyz_v(ij+z_down,:) - xyz_i(ij,:))**2), & |
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| 43 | sum((xyz_v(ij+z_rup,:) - xyz_i(ij,:))**2),sum((xyz_v(ij+z_rdown,:) - xyz_i(ij,:))**2), & |
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| 44 | sum((xyz_v(ij+z_lup,:) - xyz_i(ij,:))**2),sum((xyz_v(ij+z_ldown,:) - xyz_i(ij,:))**2)) ) |
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[22] | 45 | ENDDO |
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| 46 | |
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[17] | 47 | END SUBROUTINE init_advect |
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| 48 | |
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[22] | 49 | !======================================================================================= |
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[17] | 50 | |
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[954] | 51 | SUBROUTINE compute_gradq3d(qi,sqrt_leng,gradq3d,xyz_i,xyz_v) |
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[148] | 52 | USE trace |
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[151] | 53 | USE omp_para |
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[22] | 54 | IMPLICIT NONE |
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[896] | 55 | REAL(rstd),INTENT(IN) :: qi(iim*jjm,llm) |
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| 56 | REAL(rstd),INTENT(IN) :: sqrt_leng(iim*jjm) |
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[186] | 57 | REAL(rstd),INTENT(IN) :: xyz_i(iim*jjm,3) |
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| 58 | REAL(rstd),INTENT(IN) :: xyz_v(2*iim*jjm,3) |
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[896] | 59 | REAL(rstd),INTENT(OUT) :: gradq3d(iim*jjm,llm,3) |
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[17] | 60 | REAL(rstd) :: maxq,minq,minq_c,maxq_c |
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[899] | 61 | REAL(rstd) :: alphamx,alphami,alpha,maggrd |
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[17] | 62 | REAL(rstd) :: arr(2*iim*jjm) |
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[148] | 63 | REAL(rstd) :: ar(iim*jjm) |
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[17] | 64 | REAL(rstd) :: gradtri(2*iim*jjm,llm,3) |
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[899] | 65 | INTEGER :: ij,k,l |
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[186] | 66 | REAL(rstd) :: detx,dety,detz,det |
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| 67 | REAL(rstd) :: A(3,3), a11,a12,a13,a21,a22,a23,a31,a32,a33 |
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| 68 | REAL(rstd) :: x1,x2,x3 |
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| 69 | REAL(rstd) :: dq(3) |
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[953] | 70 | |
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[186] | 71 | CALL trace_start("compute_gradq3d1") |
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[148] | 72 | |
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[138] | 73 | ! TODO : precompute ar, drop arr as output argument of gradq ? |
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| 74 | |
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[22] | 75 | !========================================================================================== GRADIENT |
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[138] | 76 | ! Compute gradient at triangles solving a linear system |
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| 77 | ! arr = area of triangle joining centroids of hexagons |
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[186] | 78 | ! DO l = ll_begin,ll_end |
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[487] | 79 | !!DIR$ SIMD |
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[186] | 80 | ! DO ij=ij_begin_ext,ij_end_ext |
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| 81 | !! CALL gradq(ij,l,ij+t_rup,ij+t_lup,ij+z_up,qi,gradtri(ij+z_up,l,:),arr(ij+z_up)) |
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| 82 | !! CALL gradq(ij,l,ij+t_ldown,ij+t_rdown,ij+z_down,qi,gradtri(ij+z_down,l,:),arr(ij+z_down)) |
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| 83 | ! CALL gradq(ij,l,ij+t_rup,ij+t_lup,ij+z_up,qi,gradtri(ij+z_up,l,1),gradtri(ij+z_up,l,2),gradtri(ij+z_up,l,3),arr(ij+z_up)) |
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| 84 | ! CALL gradq(ij,l,ij+t_ldown,ij+t_rdown,ij+z_down,qi,gradtri(ij+z_down,l,1),gradtri(ij+z_down,l,2),gradtri(ij+z_down,l,3),arr(ij+z_down)) |
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| 85 | ! END DO |
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| 86 | ! END DO |
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| 87 | |
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[953] | 88 | !$acc data create(gradtri(:,:,:), arr(:), ar(:)) present(sqrt_leng(:), xyz_i(:,:), xyz_v(:,:), qi(:,:), gradq3d(:,:,:)) async |
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| 89 | |
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| 90 | !$acc parallel loop collapse(2) async private(A, dq) |
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| 91 | DO l = ll_begin,ll_end |
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[487] | 92 | !DIR$ SIMD |
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[174] | 93 | DO ij=ij_begin_ext,ij_end_ext |
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[186] | 94 | ! CALL gradq(ij,l,ij+t_rup,ij+t_lup,ij+z_up,qi,gradtri(ij+z_up,l,1),gradtri(ij+z_up,l,2),gradtri(ij+z_up,l,3),arr(ij+z_up)) |
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| 95 | |
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| 96 | |
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| 97 | A(1,1)=xyz_i(ij+t_rup,1)-xyz_i(ij,1); A(1,2)=xyz_i(ij+t_rup,2)-xyz_i(ij,2); A(1,3)=xyz_i(ij+t_rup,3)-xyz_i(ij,3) |
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| 98 | A(2,1)=xyz_i(ij+t_lup,1)-xyz_i(ij,1); A(2,2)=xyz_i(ij+t_lup,2)-xyz_i(ij,2); A(2,3)=xyz_i(ij+t_lup,3)-xyz_i(ij,3) |
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| 99 | A(3,1)=xyz_v(ij+z_up,1); A(3,2)= xyz_v(ij+z_up,2); A(3,3)=xyz_v(ij+z_up,3) |
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| 100 | |
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| 101 | dq(1) = qi(ij+t_rup,l)-qi(ij,l) |
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| 102 | dq(2) = qi(ij+t_lup,l)-qi(ij,l) |
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| 103 | dq(3) = 0.0 |
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| 104 | |
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| 105 | |
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| 106 | ! CALL determinant(A(1,1),A(2,1),A(3,1),A(1,2),A(2,2),A(3,2),A(1,3),A(2,3),A(3,3),det) |
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| 107 | |
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| 108 | a11=A(1,1) ; a12=A(2,1) ; a13=A(3,1) |
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| 109 | a21=A(1,2) ; a22=A(2,2) ; a23=A(3,2) |
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| 110 | a31=A(1,3) ; a32=A(2,3) ; a33=A(3,3) |
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| 111 | |
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| 112 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 113 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 114 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 115 | det = x1 - x2 + x3 |
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| 116 | |
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| 117 | ! CALL determinant(dq(1),dq(2),dq(3),A(1,2),A(2,2),A(3,2),A(1,3),A(2,3),A(3,3),detx) |
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| 118 | |
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| 119 | a11=dq(1) ; a12=dq(2) ; a13=dq(3) |
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| 120 | a21=A(1,2) ; a22=A(2,2) ; a23=A(3,2) |
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| 121 | a31=A(1,3) ; a32=A(2,3) ; a33=A(3,3) |
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| 122 | |
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| 123 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 124 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 125 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 126 | detx = x1 - x2 + x3 |
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| 127 | |
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| 128 | ! CALL determinant(A(1,1),A(2,1),A(3,1),dq(1),dq(2),dq(3),A(1,3),A(2,3),A(3,3),dety) |
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| 129 | |
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| 130 | a11=A(1,1) ; a12=A(2,1) ; a13=A(3,1) |
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| 131 | a21=dq(1) ; a22=dq(2) ; a23=dq(3) |
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| 132 | a31=A(1,3) ; a32=A(2,3) ; a33=A(3,3) |
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| 133 | |
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| 134 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 135 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 136 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 137 | dety = x1 - x2 + x3 |
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| 138 | |
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| 139 | ! CALL determinant(A(1,1),A(2,1),A(3,1),A(1,2),A(2,2),A(3,2),dq(1),dq(2),dq(3),detz) |
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| 140 | |
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| 141 | a11=A(1,1) ; a12=A(2,1) ; a13=A(3,1) |
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| 142 | a21=A(1,2) ; a22=A(2,2) ; a23=A(3,2) |
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| 143 | a31=dq(1) ; a32=dq(2) ; a33=dq(3) |
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| 144 | |
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| 145 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 146 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 147 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 148 | detz = x1 - x2 + x3 |
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| 149 | |
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| 150 | gradtri(ij+z_up,l,1) = detx |
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| 151 | gradtri(ij+z_up,l,2) = dety |
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| 152 | gradtri(ij+z_up,l,3) = detz |
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| 153 | arr(ij+z_up) = det |
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| 154 | |
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| 155 | ENDDO |
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[953] | 156 | ENDDO |
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[186] | 157 | |
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[953] | 158 | !$acc parallel loop collapse(2) async private(A, dq) |
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| 159 | DO l = ll_begin,ll_end |
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[186] | 160 | DO ij=ij_begin_ext,ij_end_ext |
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| 161 | |
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| 162 | |
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| 163 | ! CALL gradq(ij,l,ij+t_ldown,ij+t_rdown,ij+z_down,qi,gradtri(ij+z_down,l,1),gradtri(ij+z_down,l,2),gradtri(ij+z_down,l,3),arr(ij+z_down)) |
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| 164 | |
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| 165 | A(1,1)=xyz_i(ij+t_ldown,1)-xyz_i(ij,1); A(1,2)=xyz_i(ij+t_ldown,2)-xyz_i(ij,2); A(1,3)=xyz_i(ij+t_ldown,3)-xyz_i(ij,3) |
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| 166 | A(2,1)=xyz_i(ij+t_rdown,1)-xyz_i(ij,1); A(2,2)=xyz_i(ij+t_rdown,2)-xyz_i(ij,2); A(2,3)=xyz_i(ij+t_rdown,3)-xyz_i(ij,3) |
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| 167 | A(3,1)=xyz_v(ij+z_down,1); A(3,2)= xyz_v(ij+z_down,2); A(3,3)=xyz_v(ij+z_down,3) |
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| 168 | |
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| 169 | dq(1) = qi(ij+t_ldown,l)-qi(ij,l) |
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| 170 | dq(2) = qi(ij+t_rdown,l)-qi(ij,l) |
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| 171 | dq(3) = 0.0 |
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| 172 | |
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| 173 | |
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| 174 | ! CALL determinant(A(1,1),A(2,1),A(3,1),A(1,2),A(2,2),A(3,2),A(1,3),A(2,3),A(3,3),det) |
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| 175 | |
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| 176 | a11=A(1,1) ; a12=A(2,1) ; a13=A(3,1) |
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| 177 | a21=A(1,2) ; a22=A(2,2) ; a23=A(3,2) |
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| 178 | a31=A(1,3) ; a32=A(2,3) ; a33=A(3,3) |
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| 179 | |
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| 180 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 181 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 182 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 183 | det = x1 - x2 + x3 |
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| 184 | |
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| 185 | ! CALL determinant(dq(1),dq(2),dq(3),A(1,2),A(2,2),A(3,2),A(1,3),A(2,3),A(3,3),detx) |
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| 186 | |
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| 187 | a11=dq(1) ; a12=dq(2) ; a13=dq(3) |
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| 188 | a21=A(1,2) ; a22=A(2,2) ; a23=A(3,2) |
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| 189 | a31=A(1,3) ; a32=A(2,3) ; a33=A(3,3) |
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| 190 | |
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| 191 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 192 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 193 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 194 | detx = x1 - x2 + x3 |
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| 195 | |
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| 196 | ! CALL determinant(A(1,1),A(2,1),A(3,1),dq(1),dq(2),dq(3),A(1,3),A(2,3),A(3,3),dety) |
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| 197 | |
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| 198 | a11=A(1,1) ; a12=A(2,1) ; a13=A(3,1) |
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| 199 | a21=dq(1) ; a22=dq(2) ; a23=dq(3) |
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| 200 | a31=A(1,3) ; a32=A(2,3) ; a33=A(3,3) |
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| 201 | |
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| 202 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 203 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 204 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 205 | dety = x1 - x2 + x3 |
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| 206 | |
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| 207 | ! CALL determinant(A(1,1),A(2,1),A(3,1),A(1,2),A(2,2),A(3,2),dq(1),dq(2),dq(3),detz) |
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| 208 | |
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| 209 | a11=A(1,1) ; a12=A(2,1) ; a13=A(3,1) |
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| 210 | a21=A(1,2) ; a22=A(2,2) ; a23=A(3,2) |
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| 211 | a31=dq(1) ; a32=dq(2) ; a33=dq(3) |
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| 212 | |
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| 213 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 214 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 215 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 216 | detz = x1 - x2 + x3 |
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| 217 | |
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| 218 | gradtri(ij+z_down,l,1) = detx |
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| 219 | gradtri(ij+z_down,l,2) = dety |
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| 220 | gradtri(ij+z_down,l,3) = detz |
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| 221 | arr(ij+z_down) = det |
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| 222 | |
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| 223 | END DO |
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[22] | 224 | END DO |
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[17] | 225 | |
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[487] | 226 | !DIR$ SIMD |
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[953] | 227 | !$acc parallel loop async |
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[186] | 228 | DO ij=ij_begin,ij_end |
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| 229 | ar(ij) = arr(ij+z_up)+arr(ij+z_lup)+arr(ij+z_ldown)+arr(ij+z_down)+arr(ij+z_rdown)+arr(ij+z_rup)+1.e-50 |
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[148] | 230 | ENDDO |
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[186] | 231 | CALL trace_end("compute_gradq3d1") |
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| 232 | CALL trace_start2("compute_gradq3d2") |
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[148] | 233 | |
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[953] | 234 | !$acc parallel loop collapse(3) async |
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[148] | 235 | DO k=1,3 |
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[151] | 236 | DO l =ll_begin,ll_end |
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[487] | 237 | !DIR$ SIMD |
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[174] | 238 | DO ij=ij_begin,ij_end |
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| 239 | gradq3d(ij,l,k) = ( gradtri(ij+z_up,l,k) + gradtri(ij+z_down,l,k) + & |
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| 240 | gradtri(ij+z_rup,l,k) + gradtri(ij+z_ldown,l,k) + & |
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| 241 | gradtri(ij+z_lup,l,k)+ gradtri(ij+z_rdown,l,k) ) / ar(ij) |
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[148] | 242 | END DO |
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| 243 | END DO |
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| 244 | ENDDO |
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[186] | 245 | CALL trace_end2("compute_gradq3d2") |
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| 246 | CALL trace_start("compute_gradq3d3") |
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[22] | 247 | |
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| 248 | !============================================================================================= LIMITING |
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[953] | 249 | !$acc parallel loop collapse(2) async |
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[151] | 250 | DO l =ll_begin,ll_end |
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[487] | 251 | !DIR$ SIMD |
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[174] | 252 | DO ij=ij_begin,ij_end |
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[899] | 253 | ! maggrd = dot_product_3d(gradq3d(ij,l,:),gradq3d(ij,l,:)) |
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[186] | 254 | maggrd = gradq3d(ij,l,1)*gradq3d(ij,l,1) + gradq3d(ij,l,2)*gradq3d(ij,l,2) + gradq3d(ij,l,3)*gradq3d(ij,l,3) |
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[22] | 255 | maggrd = sqrt(maggrd) |
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[252] | 256 | maxq_c = qi(ij,l) + maggrd*sqrt_leng(ij) |
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| 257 | minq_c = qi(ij,l) - maggrd*sqrt_leng(ij) |
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[174] | 258 | maxq = max(qi(ij,l),qi(ij+t_right,l),qi(ij+t_lup,l),qi(ij+t_rup,l),qi(ij+t_left,l), & |
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| 259 | qi(ij+t_rdown,l),qi(ij+t_ldown,l)) |
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| 260 | minq = min(qi(ij,l),qi(ij+t_right,l),qi(ij+t_lup,l),qi(ij+t_rup,l),qi(ij+t_left,l), & |
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| 261 | qi(ij+t_rdown,l),qi(ij+t_ldown,l)) |
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[953] | 262 | IF ((maxq_c - qi(ij,l)) /= 0.0) THEN |
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| 263 | alphamx = (maxq - qi(ij,l)) ; alphamx = alphamx/(maxq_c - qi(ij,l) ) |
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| 264 | alphamx = max(alphamx,0.0) |
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| 265 | ELSE |
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| 266 | alphamx = 0.0 |
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| 267 | ENDIF |
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| 268 | IF ((minq_c - qi(ij,l)) /= 0.0) THEN |
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| 269 | alphami = (minq - qi(ij,l)); alphami = alphami/(minq_c - qi(ij,l)) |
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| 270 | alphami = max(alphami,0.0) |
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| 271 | ELSE |
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| 272 | alphami = 0.0 |
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| 273 | ENDIF |
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[22] | 274 | alpha = min(alphamx,alphami,1.0) |
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[186] | 275 | ! gradq3d(ij,l,:) = alpha*gradq3d(ij,l,:) |
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| 276 | gradq3d(ij,l,1) = alpha*gradq3d(ij,l,1) |
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| 277 | gradq3d(ij,l,2) = alpha*gradq3d(ij,l,2) |
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| 278 | gradq3d(ij,l,3) = alpha*gradq3d(ij,l,3) |
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[22] | 279 | END DO |
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[17] | 280 | END DO |
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[148] | 281 | |
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[186] | 282 | CALL trace_end("compute_gradq3d3") |
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[953] | 283 | |
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| 284 | !$acc end data |
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[186] | 285 | |
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| 286 | CONTAINS |
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| 287 | |
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| 288 | SUBROUTINE gradq(n0,l,n1,n2,n3,q,dq1,dq2,dq3,det) |
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| 289 | IMPLICIT NONE |
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| 290 | INTEGER, INTENT(IN) :: n0,l,n1,n2,n3 |
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| 291 | REAL(rstd), INTENT(IN) :: q(iim*jjm,llm) |
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| 292 | ! REAL(rstd), INTENT(OUT) :: dq(3), det |
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| 293 | REAL(rstd), INTENT(OUT) :: dq1,dq2,dq3,det |
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| 294 | REAL(rstd) :: dq(3) |
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| 295 | |
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| 296 | REAL(rstd) :: A(3,3) |
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| 297 | |
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| 298 | ! TODO : replace A by A1,A2,A3 |
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| 299 | A(1,1)=xyz_i(n1,1)-xyz_i(n0,1); A(1,2)=xyz_i(n1,2)-xyz_i(n0,2); A(1,3)=xyz_i(n1,3)-xyz_i(n0,3) |
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| 300 | A(2,1)=xyz_i(n2,1)-xyz_i(n0,1); A(2,2)=xyz_i(n2,2)-xyz_i(n0,2); A(2,3)=xyz_i(n2,3)-xyz_i(n0,3) |
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| 301 | A(3,1)=xyz_v(n3,1); A(3,2)= xyz_v(n3,2); A(3,3)=xyz_v(n3,3) |
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| 302 | |
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| 303 | dq(1) = q(n1,l)-q(n0,l) |
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| 304 | dq(2) = q(n2,l)-q(n0,l) |
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| 305 | dq(3) = 0.0 |
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| 306 | |
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| 307 | ! CALL DGESV(3,1,A,3,IPIV,dq(:),3,info) |
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| 308 | ! CALL determinant(A(:,1),A(:,2),A(:,3),det) |
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| 309 | ! CALL determinant(dq,A(:,2),A(:,3),detx) |
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| 310 | ! CALL determinant(A(:,1),dq,A(:,3),dety) |
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| 311 | ! CALL determinant(A(:,1),A(:,2),dq,detz) |
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| 312 | ! dq(1) = detx |
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| 313 | ! dq(2) = dety |
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| 314 | ! dq(3) = detz |
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| 315 | |
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| 316 | CALL determinant(A(1,1),A(2,1),A(3,1),A(1,2),A(2,2),A(3,2),A(1,3),A(2,3),A(3,3),det) |
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| 317 | CALL determinant(dq(1),dq(2),dq(3),A(1,2),A(2,2),A(3,2),A(1,3),A(2,3),A(3,3),dq1) |
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| 318 | CALL determinant(A(1,1),A(2,1),A(3,1),dq(1),dq(2),dq(3),A(1,3),A(2,3),A(3,3),dq2) |
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| 319 | CALL determinant(A(1,1),A(2,1),A(3,1),A(1,2),A(2,2),A(3,2),dq(1),dq(2),dq(3),dq3) |
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| 320 | |
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| 321 | END SUBROUTINE gradq |
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| 322 | |
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| 323 | !========================================================================== |
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| 324 | ! PURE SUBROUTINE determinant(a1,a2,a3,det) |
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| 325 | ! IMPLICIT NONE |
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| 326 | ! REAL(rstd), DIMENSION(3), INTENT(IN) :: a1,a2,a3 |
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| 327 | ! REAL(rstd), INTENT(OUT) :: det |
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| 328 | ! REAL(rstd) :: x1,x2,x3 |
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| 329 | ! x1 = a1(1) * (a2(2) * a3(3) - a2(3) * a3(2)) |
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| 330 | ! x2 = a1(2) * (a2(1) * a3(3) - a2(3) * a3(1)) |
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| 331 | ! x3 = a1(3) * (a2(1) * a3(2) - a2(2) * a3(1)) |
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| 332 | ! det = x1 - x2 + x3 |
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| 333 | ! END SUBROUTINE determinant |
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| 334 | |
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| 335 | SUBROUTINE determinant(a11,a12,a13,a21,a22,a23,a31,a32,a33,det) |
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| 336 | IMPLICIT NONE |
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| 337 | REAL(rstd), INTENT(IN) :: a11,a12,a13,a21,a22,a23,a31,a32,a33 |
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| 338 | REAL(rstd), INTENT(OUT) :: det |
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| 339 | REAL(rstd) :: x1,x2,x3 |
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| 340 | x1 = a11 * (a22 * a33 - a23 * a32) |
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| 341 | x2 = a12 * (a21 * a33 - a23 * a31) |
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| 342 | x3 = a13 * (a21 * a32 - a22 * a31) |
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| 343 | det = x1 - x2 + x3 |
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| 344 | END SUBROUTINE determinant |
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| 345 | |
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| 346 | |
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[22] | 347 | END SUBROUTINE compute_gradq3d |
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| 348 | |
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[138] | 349 | ! Backward trajectories, for use with Miura approach |
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[954] | 350 | SUBROUTINE compute_backward_traj(normal,tangent,ue,tau, cc, & |
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| 351 | xyz_e, de, wee, le ) ! metrics terms |
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[148] | 352 | USE trace |
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[151] | 353 | USE omp_para |
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[22] | 354 | IMPLICIT NONE |
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[137] | 355 | REAL(rstd),INTENT(IN) :: normal(3*iim*jjm,3) |
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| 356 | REAL(rstd),INTENT(IN) :: tangent(3*iim*jjm,3) |
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| 357 | REAL(rstd),INTENT(IN) :: ue(iim*3*jjm,llm) |
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| 358 | REAL(rstd),INTENT(OUT) :: cc(3*iim*jjm,llm,3) ! start of backward trajectory |
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| 359 | REAL(rstd),INTENT(IN) :: tau |
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[954] | 360 | ! metrics terms |
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| 361 | REAL(rstd),INTENT(IN) :: xyz_e(iim*3*jjm,3) |
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| 362 | REAL(rstd),INTENT(IN) :: de(iim*3*jjm) |
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| 363 | REAL(rstd),INTENT(IN) :: wee(iim*3*jjm,5,2) |
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| 364 | REAL(rstd),INTENT(IN) :: le(iim*3*jjm) |
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[137] | 365 | |
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[899] | 366 | REAL(rstd) :: v_e(3), up_e |
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[174] | 367 | INTEGER :: ij,l |
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[137] | 368 | |
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[148] | 369 | CALL trace_start("compute_backward_traj") |
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| 370 | |
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[138] | 371 | ! TODO : compute normal displacement ue*tau as hfluxt / mass(upwind) then reconstruct tangential displacement |
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[953] | 372 | |
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| 373 | !$acc data present(ue(:,:), cc(:,:,:), normal(:,:), tangent(:,:), xyz_e(:,:), de(:), wee(:,:,:), le(:)) async |
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| 374 | |
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[137] | 375 | ! reconstruct tangential wind then 3D wind at edge then cc = edge midpoint - u*tau |
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[953] | 376 | !$acc parallel loop private(up_e, v_e) collapse(2) gang vector async |
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[151] | 377 | DO l = ll_begin,ll_end |
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[487] | 378 | !DIR$ SIMD |
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[174] | 379 | DO ij=ij_begin,ij_end |
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| 380 | up_e =1/de(ij+u_right)*( & |
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| 381 | wee(ij+u_right,1,1)*le(ij+u_rup)*ue(ij+u_rup,l)+ & |
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| 382 | wee(ij+u_right,2,1)*le(ij+u_lup)*ue(ij+u_lup,l)+ & |
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| 383 | wee(ij+u_right,3,1)*le(ij+u_left)*ue(ij+u_left,l)+ & |
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| 384 | wee(ij+u_right,4,1)*le(ij+u_ldown)*ue(ij+u_ldown,l)+ & |
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| 385 | wee(ij+u_right,5,1)*le(ij+u_rdown)*ue(ij+u_rdown,l)+ & |
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| 386 | wee(ij+u_right,1,2)*le(ij+t_right+u_ldown)*ue(ij+t_right+u_ldown,l)+ & |
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| 387 | wee(ij+u_right,2,2)*le(ij+t_right+u_rdown)*ue(ij+t_right+u_rdown,l)+ & |
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| 388 | wee(ij+u_right,3,2)*le(ij+t_right+u_right)*ue(ij+t_right+u_right,l)+ & |
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| 389 | wee(ij+u_right,4,2)*le(ij+t_right+u_rup)*ue(ij+t_right+u_rup,l)+ & |
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| 390 | wee(ij+u_right,5,2)*le(ij+t_right+u_lup)*ue(ij+t_right+u_lup,l) & |
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[137] | 391 | ) |
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[174] | 392 | v_e = ue(ij+u_right,l)*normal(ij+u_right,:) + up_e*tangent(ij+u_right,:) |
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| 393 | cc(ij+u_right,l,:) = xyz_e(ij+u_right,:) - v_e*tau |
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[137] | 394 | |
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[174] | 395 | up_e=1/de(ij+u_lup)*( & |
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| 396 | wee(ij+u_lup,1,1)*le(ij+u_left)*ue(ij+u_left,l)+ & |
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| 397 | wee(ij+u_lup,2,1)*le(ij+u_ldown)*ue(ij+u_ldown,l)+ & |
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| 398 | wee(ij+u_lup,3,1)*le(ij+u_rdown)*ue(ij+u_rdown,l)+ & |
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| 399 | wee(ij+u_lup,4,1)*le(ij+u_right)*ue(ij+u_right,l)+ & |
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| 400 | wee(ij+u_lup,5,1)*le(ij+u_rup)*ue(ij+u_rup,l)+ & |
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| 401 | wee(ij+u_lup,1,2)*le(ij+t_lup+u_right)*ue(ij+t_lup+u_right,l)+ & |
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| 402 | wee(ij+u_lup,2,2)*le(ij+t_lup+u_rup)*ue(ij+t_lup+u_rup,l)+ & |
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| 403 | wee(ij+u_lup,3,2)*le(ij+t_lup+u_lup)*ue(ij+t_lup+u_lup,l)+ & |
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| 404 | wee(ij+u_lup,4,2)*le(ij+t_lup+u_left)*ue(ij+t_lup+u_left,l)+ & |
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| 405 | wee(ij+u_lup,5,2)*le(ij+t_lup+u_ldown)*ue(ij+t_lup+u_ldown,l) & |
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[137] | 406 | ) |
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[174] | 407 | v_e = ue(ij+u_lup,l)*normal(ij+u_lup,:) + up_e*tangent(ij+u_lup,:) |
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| 408 | cc(ij+u_lup,l,:) = xyz_e(ij+u_lup,:) - v_e*tau |
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| 409 | |
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[137] | 410 | |
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[174] | 411 | up_e=1/de(ij+u_ldown)*( & |
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| 412 | wee(ij+u_ldown,1,1)*le(ij+u_rdown)*ue(ij+u_rdown,l)+ & |
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| 413 | wee(ij+u_ldown,2,1)*le(ij+u_right)*ue(ij+u_right,l)+ & |
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| 414 | wee(ij+u_ldown,3,1)*le(ij+u_rup)*ue(ij+u_rup,l)+ & |
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| 415 | wee(ij+u_ldown,4,1)*le(ij+u_lup)*ue(ij+u_lup,l)+ & |
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| 416 | wee(ij+u_ldown,5,1)*le(ij+u_left)*ue(ij+u_left,l)+ & |
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| 417 | wee(ij+u_ldown,1,2)*le(ij+t_ldown+u_lup)*ue(ij+t_ldown+u_lup,l)+ & |
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| 418 | wee(ij+u_ldown,2,2)*le(ij+t_ldown+u_left)*ue(ij+t_ldown+u_left,l)+ & |
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| 419 | wee(ij+u_ldown,3,2)*le(ij+t_ldown+u_ldown)*ue(ij+t_ldown+u_ldown,l)+ & |
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| 420 | wee(ij+u_ldown,4,2)*le(ij+t_ldown+u_rdown)*ue(ij+t_ldown+u_rdown,l)+ & |
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| 421 | wee(ij+u_ldown,5,2)*le(ij+t_ldown+u_right)*ue(ij+t_ldown+u_right,l) & |
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[137] | 422 | ) |
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[174] | 423 | v_e = ue(ij+u_ldown,l)*normal(ij+u_ldown,:) + up_e*tangent(ij+u_ldown,:) |
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| 424 | cc(ij+u_ldown,l,:) = xyz_e(ij+u_ldown,:) - v_e*tau |
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[137] | 425 | ENDDO |
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| 426 | END DO |
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[953] | 427 | !$acc end data |
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[148] | 428 | CALL trace_end("compute_backward_traj") |
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| 429 | |
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[137] | 430 | END SUBROUTINE compute_backward_traj |
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| 431 | |
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| 432 | ! Horizontal transport (S. Dubey, T. Dubos) |
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| 433 | ! Slope-limited van Leer approach with hexagons |
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[954] | 434 | SUBROUTINE compute_advect_horiz(update_mass,diagflux_on, hfluxt,cc,gradq3d, mass, qi, qfluxt, & |
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| 435 | Ai, xyz_i) ! metrics terms |
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[148] | 436 | USE trace |
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[151] | 437 | USE omp_para |
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[953] | 438 | USE abort_mod |
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[137] | 439 | IMPLICIT NONE |
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[599] | 440 | LOGICAL, INTENT(IN) :: update_mass, diagflux_on |
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[138] | 441 | REAL(rstd), INTENT(IN) :: gradq3d(iim*jjm,llm,3) |
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| 442 | REAL(rstd), INTENT(IN) :: hfluxt(3*iim*jjm,llm) ! mass flux |
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| 443 | REAL(rstd), INTENT(IN) :: cc(3*iim*jjm,llm,3) ! barycenter of quadrilateral, where q is evaluated (1-point quadrature) |
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| 444 | REAL(rstd), INTENT(INOUT) :: mass(iim*jjm,llm) |
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| 445 | REAL(rstd), INTENT(INOUT) :: qi(iim*jjm,llm) |
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[894] | 446 | REAL(rstd), INTENT(INOUT) :: qfluxt(3*iim*jjm,MERGE(llm,1,diagflux_on)) ! time-integrated tracer flux |
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[953] | 447 | ! metrics terms |
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[954] | 448 | REAL(rstd), INTENT(IN) :: Ai(iim*jjm) |
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| 449 | REAL(rstd), INTENT(IN) :: xyz_i(iim*jjm,3) |
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[953] | 450 | |
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| 451 | REAL(rstd) :: dq,dmass,qe,newmass |
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[138] | 452 | REAL(rstd) :: qflux(3*iim*jjm,llm) |
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[953] | 453 | INTEGER :: ij,l,ij_tmp |
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[17] | 454 | |
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[953] | 455 | IF(diagflux_on) CALL abort_acc("compute_advect_horiz : diagflux_on") |
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| 456 | |
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[148] | 457 | CALL trace_start("compute_advect_horiz") |
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[599] | 458 | #include "../kernels/advect_horiz.k90" |
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[148] | 459 | CALL trace_end("compute_advect_horiz") |
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[953] | 460 | |
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[22] | 461 | END SUBROUTINE compute_advect_horiz |
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[138] | 462 | |
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[17] | 463 | |
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[22] | 464 | END MODULE advect_mod |
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