[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 | REAL(rstd) :: dt |
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[366] | 31 | CALL set_coefs_rk(dt, (/ zero, (/.5,0.,0./), (/-1.,2.,0./), (/1./6.,2./3.,1./6./) /) ) |
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[360] | 32 | END SUBROUTINE set_coefs_ark33 |
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| 33 | |
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[366] | 34 | SUBROUTINE set_coefs_rk(dt, ajl) |
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| 35 | REAL(rstd) :: dt, ajl(3,4) |
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| 36 | CALL set_coefs_hevi(dt,ajl,ajl) |
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| 37 | END SUBROUTINE set_coefs_rk |
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| 38 | |
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[360] | 39 | SUBROUTINE set_coefs_hevi(dt, ajl_slow, ajl_fast) |
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| 40 | REAL(rstd) :: dt, ajl_slow(3,4), ajl_fast(3,4) ! fast/slow Butcher tableaus |
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| 41 | INTEGER :: j |
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| 42 | DO j=1,3 |
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| 43 | bjl(:,j) = dt*(ajl_slow(:,j+1)-ajl_slow(:,j)) |
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| 44 | cjl(:,j) = dt*(ajl_fast(:,j+1)-ajl_fast(:,j)) |
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| 45 | taujj(j) = dt*ajl_fast(j,j) |
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| 46 | END DO |
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| 47 | wj=dt*ajl_slow(:,4) |
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| 48 | END SUBROUTINE set_coefs_hevi |
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| 49 | |
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| 50 | SUBROUTINE HEVI_scheme(it, fluxt_zero) |
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| 51 | USE time_mod |
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| 52 | USE disvert_mod |
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[361] | 53 | USE caldyn_hevi_mod |
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[360] | 54 | LOGICAL :: fluxt_zero(ndomain) ! set to .TRUE. to start accumulating fluxes in time |
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| 55 | INTEGER :: it,j,l, ind |
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| 56 | REAL(rstd),POINTER :: hflux(:,:),wflux(:,:),hfluxt(:,:),wfluxt(:,:) |
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| 57 | |
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[362] | 58 | IF(DEC) CALL legacy_to_DEC(f_ps, f_u) |
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[360] | 59 | DO j=1,nb_stage |
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[361] | 60 | CALL caldyn_hevi((j==1) .AND. (MOD(it,itau_out)==0), taujj(j), & |
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[360] | 61 | f_phis, f_ps,f_mass,f_theta_rhodz,f_u,f_q, & |
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[366] | 62 | f_W, f_geopot, f_hflux, f_wflux, & |
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[360] | 63 | f_dps_slow(:,j), f_dmass_slow(:,j), f_dtheta_rhodz_slow(:,j), & |
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[366] | 64 | f_du_slow(:,j), f_du_fast(:,j), & |
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| 65 | f_dPhi_slow(:,j), f_dPhi_fast(:,j), & |
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| 66 | f_dW_slow(:,j), f_dW_fast(:,j) ) |
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[361] | 67 | ! accumulate mass fluxes for transport scheme |
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[360] | 68 | DO ind=1,ndomain |
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| 69 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 70 | CALL swap_dimensions(ind) |
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| 71 | hflux=f_hflux(ind); hfluxt=f_hfluxt(ind) |
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| 72 | wflux=f_wflux(ind); wfluxt=f_wfluxt(ind) |
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| 73 | CALL accumulate_fluxes(hflux,wflux, hfluxt,wfluxt, wj(j), fluxt_zero(ind)) |
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| 74 | END DO |
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| 75 | ! update model state |
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| 76 | DO l=1,j |
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| 77 | IF(caldyn_eta==eta_mass) THEN |
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| 78 | CALL update_2D(bjl(l,j), f_ps, f_dps_slow(:,l)) |
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| 79 | ELSE |
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| 80 | CALL update(bjl(l,j), f_mass, f_dmass_slow(:,l)) |
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| 81 | END IF |
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| 82 | CALL update(bjl(l,j), f_theta_rhodz, f_dtheta_rhodz_slow(:,l)) |
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| 83 | CALL update(bjl(l,j), f_u, f_du_slow(:,l)) |
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[361] | 84 | CALL update(cjl(l,j), f_u, f_du_fast(:,l)) |
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[366] | 85 | IF(.NOT. hydrostatic) THEN |
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| 86 | ! CALL update(bjl(l,j), f_W, f_dW_slow(:,l)) ! slow tendencies of w, Phi not implemented yet |
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| 87 | CALL update(cjl(l,j), f_W, f_dW_fast(:,l)) |
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| 88 | ! CALL update(bjl(l,j), f_geopot, f_dPhi_slow(:,l)) |
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| 89 | CALL update(cjl(l,j), f_geopot, f_dPhi_fast(:,l)) |
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| 90 | END IF |
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[360] | 91 | END DO |
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| 92 | END DO |
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[362] | 93 | IF(DEC) CALL DEC_to_legacy(f_ps, f_u) |
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[360] | 94 | END SUBROUTINE HEVI_scheme |
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| 95 | |
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| 96 | SUBROUTINE update(w, f_y, f_dy) |
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| 97 | USE dimensions |
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| 98 | REAL(rstd) :: w |
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| 99 | TYPE(t_field) :: f_y(:), f_dy(:) |
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| 100 | REAL(rstd), POINTER :: y(:,:), dy(:,:) |
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| 101 | INTEGER :: ind |
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[362] | 102 | IF(w /= 0.) THEN |
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| 103 | DO ind=1,ndomain |
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| 104 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 105 | CALL swap_dimensions(ind) |
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| 106 | dy=f_dy(ind); y=f_y(ind) |
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| 107 | CALL compute_update(w,y,dy) |
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| 108 | ENDDO |
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| 109 | END IF |
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[360] | 110 | END SUBROUTINE update |
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| 111 | |
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| 112 | SUBROUTINE compute_update(w, y, dy) |
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| 113 | USE omp_para |
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| 114 | USE disvert_mod |
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| 115 | REAL(rstd) :: w |
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| 116 | REAL(rstd) :: y(:,:), dy(:,:) |
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| 117 | INTENT(INOUT) :: y |
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| 118 | INTENT(IN) :: dy |
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| 119 | INTEGER :: l |
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| 120 | DO l=ll_begin,ll_end |
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| 121 | y(:,l)=y(:,l)+w*dy(:,l) |
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| 122 | ENDDO |
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| 123 | END SUBROUTINE compute_update |
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| 124 | |
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| 125 | SUBROUTINE update_2D(w, f_y, f_dy) |
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| 126 | REAL(rstd) :: w |
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| 127 | TYPE(t_field) :: f_y(:), f_dy(:) |
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| 128 | REAL(rstd), POINTER :: y(:), dy(:) |
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| 129 | INTEGER :: ind |
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| 130 | DO ind=1,ndomain |
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| 131 | IF (.NOT. assigned_domain(ind)) CYCLE |
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| 132 | dy=f_dy(ind); y=f_y(ind) |
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| 133 | CALL compute_update_2D(w,y,dy) |
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| 134 | ENDDO |
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| 135 | END SUBROUTINE update_2D |
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| 136 | |
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| 137 | SUBROUTINE compute_update_2D(w, y, dy) |
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| 138 | REAL(rstd) :: w, y(:), dy(:) |
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| 139 | INTENT(INOUT) :: y |
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| 140 | INTENT(IN) :: dy |
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| 141 | y(:)=y(:)+w*dy(:) |
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| 142 | END SUBROUTINE compute_update_2D |
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| 143 | |
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| 144 | END MODULE hevi_scheme_mod |
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