[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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| 21 | REAL(rstd), PARAMETER :: alpha=(3.+SQRT(8.))/6., delta=.5/SQRT(2.), gamma=1.-2.*delta |
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| 22 | REAL(rstd), PARAMETER, DIMENSION(3) :: wj = (/delta,delta,gamma/) |
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| 23 | CALL set_coefs_hevi(dt, & |
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| 24 | (/ zero, (/2.*gamma,0.,0./), (/1-alpha,alpha,0./), wj /), & |
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| 25 | (/ zero, (/gamma,gamma,0./), wj, wj /) ) |
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| 26 | END SUBROUTINE set_coefs_ark23 |
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| 27 | |
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| 28 | SUBROUTINE set_coefs_ark33(dt) |
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| 29 | ! Fully-explicit RK3 scheme disguised as ARK |
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| 30 | ! To check correctness of caldyn_hevi |
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| 31 | REAL(rstd) :: dt |
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| 32 | REAL(rstd), PARAMETER, DIMENSION(3,4) :: & |
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| 33 | ajl=(/ zero, (/.5,0.,0./), (/-1.,2.,0./), (/1./6.,2./3.,1./6./) /) |
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| 34 | CALL set_coefs_hevi(dt, ajl, ajl) |
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| 35 | END SUBROUTINE set_coefs_ark33 |
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| 36 | |
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| 37 | SUBROUTINE set_coefs_hevi(dt, ajl_slow, ajl_fast) |
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| 38 | REAL(rstd) :: dt, ajl_slow(3,4), ajl_fast(3,4) ! fast/slow Butcher tableaus |
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| 39 | INTEGER :: j |
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| 40 | DO j=1,3 |
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| 41 | bjl(:,j) = dt*(ajl_slow(:,j+1)-ajl_slow(:,j)) |
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| 42 | cjl(:,j) = dt*(ajl_fast(:,j+1)-ajl_fast(:,j)) |
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| 43 | taujj(j) = dt*ajl_fast(j,j) |
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| 44 | END DO |
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| 45 | wj=dt*ajl_slow(:,4) |
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| 46 | END SUBROUTINE set_coefs_hevi |
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| 47 | |
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| 48 | SUBROUTINE HEVI_scheme(it, fluxt_zero) |
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| 49 | USE time_mod |
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| 50 | USE disvert_mod |
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[361] | 51 | USE caldyn_hevi_mod |
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[360] | 52 | LOGICAL :: fluxt_zero(ndomain) ! set to .TRUE. to start accumulating fluxes in time |
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| 53 | INTEGER :: it,j,l, ind |
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| 54 | REAL(rstd),POINTER :: hflux(:,:),wflux(:,:),hfluxt(:,:),wfluxt(:,:) |
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| 55 | |
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[362] | 56 | IF(DEC) CALL legacy_to_DEC(f_ps, f_u) |
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[360] | 57 | DO j=1,nb_stage |
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[361] | 58 | CALL caldyn_hevi((j==1) .AND. (MOD(it,itau_out)==0), taujj(j), & |
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[360] | 59 | f_phis, f_ps,f_mass,f_theta_rhodz,f_u,f_q, & |
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| 60 | f_geopot, f_hflux, f_wflux, & |
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| 61 | f_dps_slow(:,j), f_dmass_slow(:,j), f_dtheta_rhodz_slow(:,j), & |
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[361] | 62 | f_du_slow(:,j), f_du_fast(:,j) ) |
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| 63 | ! accumulate mass fluxes for transport scheme |
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[360] | 64 | DO ind=1,ndomain |
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| 65 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 66 | CALL swap_dimensions(ind) |
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| 67 | hflux=f_hflux(ind); hfluxt=f_hfluxt(ind) |
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| 68 | wflux=f_wflux(ind); wfluxt=f_wfluxt(ind) |
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| 69 | CALL accumulate_fluxes(hflux,wflux, hfluxt,wfluxt, wj(j), fluxt_zero(ind)) |
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| 70 | END DO |
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| 71 | ! update model state |
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| 72 | DO l=1,j |
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| 73 | IF(caldyn_eta==eta_mass) THEN |
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| 74 | CALL update_2D(bjl(l,j), f_ps, f_dps_slow(:,l)) |
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| 75 | ELSE |
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| 76 | CALL update(bjl(l,j), f_mass, f_dmass_slow(:,l)) |
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| 77 | END IF |
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| 78 | CALL update(bjl(l,j), f_theta_rhodz, f_dtheta_rhodz_slow(:,l)) |
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| 79 | CALL update(bjl(l,j), f_u, f_du_slow(:,l)) |
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[361] | 80 | CALL update(cjl(l,j), f_u, f_du_fast(:,l)) |
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[360] | 81 | END DO |
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| 82 | END DO |
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[362] | 83 | IF(DEC) CALL DEC_to_legacy(f_ps, f_u) |
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[360] | 84 | END SUBROUTINE HEVI_scheme |
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| 85 | |
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| 86 | SUBROUTINE update(w, f_y, f_dy) |
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| 87 | USE dimensions |
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| 88 | REAL(rstd) :: w |
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| 89 | TYPE(t_field) :: f_y(:), f_dy(:) |
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| 90 | REAL(rstd), POINTER :: y(:,:), dy(:,:) |
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| 91 | INTEGER :: ind |
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[362] | 92 | IF(w /= 0.) THEN |
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| 93 | DO ind=1,ndomain |
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| 94 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 95 | CALL swap_dimensions(ind) |
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| 96 | dy=f_dy(ind); y=f_y(ind) |
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| 97 | CALL compute_update(w,y,dy) |
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| 98 | ENDDO |
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| 99 | END IF |
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[360] | 100 | END SUBROUTINE update |
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| 101 | |
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| 102 | SUBROUTINE compute_update(w, y, dy) |
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| 103 | USE omp_para |
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| 104 | USE disvert_mod |
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| 105 | REAL(rstd) :: w |
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| 106 | REAL(rstd) :: y(:,:), dy(:,:) |
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| 107 | INTENT(INOUT) :: y |
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| 108 | INTENT(IN) :: dy |
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| 109 | INTEGER :: l |
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| 110 | DO l=ll_begin,ll_end |
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| 111 | y(:,l)=y(:,l)+w*dy(:,l) |
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| 112 | ENDDO |
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| 113 | END SUBROUTINE compute_update |
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| 114 | |
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| 115 | SUBROUTINE update_2D(w, f_y, f_dy) |
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| 116 | REAL(rstd) :: w |
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| 117 | TYPE(t_field) :: f_y(:), f_dy(:) |
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| 118 | REAL(rstd), POINTER :: y(:), dy(:) |
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| 119 | INTEGER :: ind |
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| 120 | DO ind=1,ndomain |
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| 121 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 122 | dy=f_dy(ind); y=f_y(ind) |
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| 123 | CALL compute_update_2D(w,y,dy) |
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| 124 | ENDDO |
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| 125 | END SUBROUTINE update_2D |
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| 126 | |
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| 127 | SUBROUTINE compute_update_2D(w, y, dy) |
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| 128 | REAL(rstd) :: w, y(:), dy(:) |
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| 129 | INTENT(INOUT) :: y |
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| 130 | INTENT(IN) :: dy |
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| 131 | y(:)=y(:)+w*dy(:) |
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| 132 | END SUBROUTINE compute_update_2D |
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| 133 | |
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| 134 | END MODULE hevi_scheme_mod |
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