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