[360] | 1 | MODULE hevi_scheme_mod |
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| 2 | USE prec |
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| 3 | USE domain_mod |
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| 4 | USE field_mod |
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[362] | 5 | USE euler_scheme_mod |
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| 6 | USE caldyn_kernels_base_mod, ONLY : DEC |
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[360] | 7 | IMPLICIT NONE |
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| 8 | PRIVATE |
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| 9 | |
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| 10 | REAL(rstd), SAVE :: wj(3), bjl(3,3), cjl(3,3), taujj(3) |
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| 11 | REAL(rstd), PARAMETER, DIMENSION(3) :: zero = (/0.,0.,0./) |
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| 12 | |
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| 13 | PUBLIC :: set_coefs_ark23, set_coefs_ark33, hevi_scheme |
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| 14 | |
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| 15 | CONTAINS |
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| 16 | |
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| 17 | SUBROUTINE set_coefs_ark23(dt) |
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| 18 | ! ARK2 scheme by Giraldo, Kelly, Constantinescu 2013 |
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| 19 | ! See Weller et al., 2013 - ARK2 scheme Fig. 2 |
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| 20 | REAL(rstd) :: dt |
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[371] | 21 | REAL(rstd), PARAMETER :: delta=.5/SQRT(2.), gamma=1.-2.*delta |
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| 22 | ! REAL(rstd), PARAMETER :: alpha=(3.+SQRT(8.))/6. ! original value in GKC2013 |
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| 23 | REAL(rstd), PARAMETER :: alpha=0.7 |
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[360] | 24 | REAL(rstd), PARAMETER, DIMENSION(3) :: wj = (/delta,delta,gamma/) |
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| 25 | CALL set_coefs_hevi(dt, & |
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| 26 | (/ zero, (/2.*gamma,0.,0./), (/1-alpha,alpha,0./), wj /), & |
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| 27 | (/ zero, (/gamma,gamma,0./), wj, wj /) ) |
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| 28 | END SUBROUTINE set_coefs_ark23 |
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| 29 | |
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| 30 | SUBROUTINE set_coefs_ark33(dt) |
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| 31 | ! Fully-explicit RK3 scheme disguised as ARK |
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| 32 | REAL(rstd) :: dt |
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[366] | 33 | CALL set_coefs_rk(dt, (/ zero, (/.5,0.,0./), (/-1.,2.,0./), (/1./6.,2./3.,1./6./) /) ) |
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[360] | 34 | END SUBROUTINE set_coefs_ark33 |
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| 35 | |
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[366] | 36 | SUBROUTINE set_coefs_rk(dt, ajl) |
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| 37 | REAL(rstd) :: dt, ajl(3,4) |
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| 38 | CALL set_coefs_hevi(dt,ajl,ajl) |
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| 39 | END SUBROUTINE set_coefs_rk |
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| 40 | |
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[360] | 41 | SUBROUTINE set_coefs_hevi(dt, ajl_slow, ajl_fast) |
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| 42 | REAL(rstd) :: dt, ajl_slow(3,4), ajl_fast(3,4) ! fast/slow Butcher tableaus |
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| 43 | INTEGER :: j |
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| 44 | DO j=1,3 |
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| 45 | bjl(:,j) = dt*(ajl_slow(:,j+1)-ajl_slow(:,j)) |
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| 46 | cjl(:,j) = dt*(ajl_fast(:,j+1)-ajl_fast(:,j)) |
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| 47 | taujj(j) = dt*ajl_fast(j,j) |
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| 48 | END DO |
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| 49 | wj=dt*ajl_slow(:,4) |
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| 50 | END SUBROUTINE set_coefs_hevi |
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| 51 | |
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| 52 | SUBROUTINE HEVI_scheme(it, fluxt_zero) |
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| 53 | USE time_mod |
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| 54 | USE disvert_mod |
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[361] | 55 | USE caldyn_hevi_mod |
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[360] | 56 | LOGICAL :: fluxt_zero(ndomain) ! set to .TRUE. to start accumulating fluxes in time |
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| 57 | INTEGER :: it,j,l, ind |
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| 58 | REAL(rstd),POINTER :: hflux(:,:),wflux(:,:),hfluxt(:,:),wfluxt(:,:) |
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| 59 | |
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[362] | 60 | IF(DEC) CALL legacy_to_DEC(f_ps, f_u) |
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[360] | 61 | DO j=1,nb_stage |
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[361] | 62 | CALL caldyn_hevi((j==1) .AND. (MOD(it,itau_out)==0), taujj(j), & |
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[360] | 63 | f_phis, f_ps,f_mass,f_theta_rhodz,f_u,f_q, & |
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[366] | 64 | f_W, f_geopot, f_hflux, f_wflux, & |
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[360] | 65 | f_dps_slow(:,j), f_dmass_slow(:,j), f_dtheta_rhodz_slow(:,j), & |
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[366] | 66 | f_du_slow(:,j), f_du_fast(:,j), & |
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| 67 | f_dPhi_slow(:,j), f_dPhi_fast(:,j), & |
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| 68 | f_dW_slow(:,j), f_dW_fast(:,j) ) |
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[361] | 69 | ! accumulate mass fluxes for transport scheme |
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[360] | 70 | DO ind=1,ndomain |
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| 71 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 72 | CALL swap_dimensions(ind) |
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| 73 | hflux=f_hflux(ind); hfluxt=f_hfluxt(ind) |
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| 74 | wflux=f_wflux(ind); wfluxt=f_wfluxt(ind) |
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| 75 | CALL accumulate_fluxes(hflux,wflux, hfluxt,wfluxt, wj(j), fluxt_zero(ind)) |
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| 76 | END DO |
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| 77 | ! update model state |
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| 78 | DO l=1,j |
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| 79 | IF(caldyn_eta==eta_mass) THEN |
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| 80 | CALL update_2D(bjl(l,j), f_ps, f_dps_slow(:,l)) |
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| 81 | ELSE |
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[387] | 82 | CALL update_3D(bjl(l,j), f_mass, f_dmass_slow(:,l)) |
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[360] | 83 | END IF |
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[387] | 84 | CALL update_4D(bjl(l,j), f_theta_rhodz, f_dtheta_rhodz_slow(:,l)) |
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| 85 | CALL update_3D(bjl(l,j), f_u, f_du_slow(:,l)) |
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| 86 | CALL update_3D(cjl(l,j), f_u, f_du_fast(:,l)) |
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[366] | 87 | IF(.NOT. hydrostatic) THEN |
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[387] | 88 | CALL update_3D(bjl(l,j), f_W, f_dW_slow(:,l)) |
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| 89 | CALL update_3D(cjl(l,j), f_W, f_dW_fast(:,l)) |
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| 90 | CALL update_3D(bjl(l,j), f_geopot, f_dPhi_slow(:,l)) |
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| 91 | CALL update_3D(cjl(l,j), f_geopot, f_dPhi_fast(:,l)) |
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[366] | 92 | END IF |
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[360] | 93 | END DO |
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| 94 | END DO |
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[362] | 95 | IF(DEC) CALL DEC_to_legacy(f_ps, f_u) |
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[360] | 96 | END SUBROUTINE HEVI_scheme |
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| 97 | |
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[387] | 98 | SUBROUTINE update_4D(w, f_y, f_dy) |
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[360] | 99 | USE dimensions |
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[387] | 100 | USE grid_param, ONLY : nqdyn |
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[360] | 101 | REAL(rstd) :: w |
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| 102 | TYPE(t_field) :: f_y(:), f_dy(:) |
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[387] | 103 | REAL(rstd), POINTER :: y(:,:,:), dy(:,:,:) |
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| 104 | INTEGER :: ind, iq |
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| 105 | IF(w /= 0.) THEN |
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| 106 | DO ind=1,ndomain |
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| 107 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 108 | CALL swap_dimensions(ind) |
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| 109 | dy=f_dy(ind); y=f_y(ind) |
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| 110 | DO iq=1,nqdyn |
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| 111 | CALL compute_update_3D(w,y(:,:,iq),dy(:,:,iq)) |
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| 112 | END DO |
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| 113 | ENDDO |
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| 114 | END IF |
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| 115 | END SUBROUTINE update_4D |
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| 116 | |
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| 117 | SUBROUTINE update_3D(w, f_y, f_dy) |
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| 118 | USE dimensions |
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| 119 | REAL(rstd) :: w |
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| 120 | TYPE(t_field) :: f_y(:), f_dy(:) |
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[360] | 121 | REAL(rstd), POINTER :: y(:,:), dy(:,:) |
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| 122 | INTEGER :: ind |
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[362] | 123 | IF(w /= 0.) THEN |
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| 124 | DO ind=1,ndomain |
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| 125 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 126 | CALL swap_dimensions(ind) |
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| 127 | dy=f_dy(ind); y=f_y(ind) |
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[387] | 128 | CALL compute_update_3D(w,y,dy) |
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[362] | 129 | ENDDO |
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| 130 | END IF |
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[387] | 131 | END SUBROUTINE update_3D |
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[360] | 132 | |
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[387] | 133 | SUBROUTINE compute_update_3D(w, y, dy) |
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[360] | 134 | USE omp_para |
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| 135 | USE disvert_mod |
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| 136 | REAL(rstd) :: w |
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| 137 | REAL(rstd) :: y(:,:), dy(:,:) |
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| 138 | INTENT(INOUT) :: y |
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| 139 | INTENT(IN) :: dy |
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| 140 | INTEGER :: l |
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| 141 | DO l=ll_begin,ll_end |
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| 142 | y(:,l)=y(:,l)+w*dy(:,l) |
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| 143 | ENDDO |
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[387] | 144 | END SUBROUTINE compute_update_3D |
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[360] | 145 | |
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| 146 | SUBROUTINE update_2D(w, f_y, f_dy) |
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| 147 | REAL(rstd) :: w |
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| 148 | TYPE(t_field) :: f_y(:), f_dy(:) |
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| 149 | REAL(rstd), POINTER :: y(:), dy(:) |
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| 150 | INTEGER :: ind |
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| 151 | DO ind=1,ndomain |
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| 152 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 153 | dy=f_dy(ind); y=f_y(ind) |
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| 154 | CALL compute_update_2D(w,y,dy) |
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| 155 | ENDDO |
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| 156 | END SUBROUTINE update_2D |
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| 157 | |
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| 158 | SUBROUTINE compute_update_2D(w, y, dy) |
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| 159 | REAL(rstd) :: w, y(:), dy(:) |
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| 160 | INTENT(INOUT) :: y |
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| 161 | INTENT(IN) :: dy |
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| 162 | y(:)=y(:)+w*dy(:) |
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| 163 | END SUBROUTINE compute_update_2D |
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| 164 | |
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| 165 | END MODULE hevi_scheme_mod |
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