[12] | 1 | MODULE caldyn_gcm_mod |
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[19] | 2 | USE icosa |
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[12] | 3 | |
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[17] | 4 | PRIVATE |
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[12] | 5 | TYPE(t_field),POINTER :: f_out(:) |
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| 6 | REAL(rstd),POINTER :: out(:,:) |
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| 7 | TYPE(t_field),POINTER :: f_out_u(:) |
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| 8 | REAL(rstd),POINTER :: out_u(:,:) |
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| 9 | TYPE(t_field),POINTER :: f_out_z(:) |
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| 10 | REAL(rstd),POINTER :: out_z(:,:) |
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| 11 | |
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[15] | 12 | INTEGER :: itau_out |
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[17] | 13 | |
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| 14 | PUBLIC init_caldyn, caldyn |
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| 15 | |
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[12] | 16 | CONTAINS |
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[15] | 17 | |
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| 18 | SUBROUTINE init_caldyn(dt) |
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[19] | 19 | USE icosa |
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[15] | 20 | IMPLICIT NONE |
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| 21 | REAL(rstd),INTENT(IN) :: dt |
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[17] | 22 | INTEGER :: write_period |
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| 23 | |
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[15] | 24 | CALL allocate_caldyn |
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| 25 | CALL getin('write_period',write_period) |
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[32] | 26 | write_period=write_period/scale_factor |
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[15] | 27 | |
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| 28 | itau_out=INT(write_period/dt) |
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[17] | 29 | |
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| 30 | CALL allocate_caldyn |
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[15] | 31 | |
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| 32 | END SUBROUTINE init_caldyn |
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| 33 | |
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[12] | 34 | SUBROUTINE allocate_caldyn |
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[19] | 35 | USE icosa |
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[12] | 36 | IMPLICIT NONE |
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| 37 | |
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| 38 | CALL allocate_field(f_out,field_t,type_real,llm) |
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| 39 | CALL allocate_field(f_out_u,field_u,type_real,llm) |
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| 40 | CALL allocate_field(f_out_z,field_z,type_real,llm) |
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| 41 | |
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| 42 | END SUBROUTINE allocate_caldyn |
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| 43 | |
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| 44 | SUBROUTINE swap_caldyn(ind) |
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| 45 | IMPLICIT NONE |
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| 46 | INTEGER,INTENT(IN) :: ind |
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| 47 | out=f_out(ind) |
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| 48 | out_u=f_out_u(ind) |
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| 49 | out_z=f_out_z(ind) |
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| 50 | |
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| 51 | END SUBROUTINE swap_caldyn |
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| 52 | |
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| 53 | SUBROUTINE check_mass_conservation(f_ps,f_dps) |
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[19] | 54 | USE icosa |
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[12] | 55 | IMPLICIT NONE |
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| 56 | TYPE(t_field),POINTER :: f_ps(:) |
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| 57 | TYPE(t_field),POINTER :: f_dps(:) |
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| 58 | REAL(rstd),POINTER :: ps(:) |
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| 59 | REAL(rstd),POINTER :: dps(:) |
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| 60 | REAL(rstd) :: mass_tot,dmass_tot |
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| 61 | INTEGER :: ind,i,j,ij |
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| 62 | |
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| 63 | mass_tot=0 |
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| 64 | dmass_tot=0 |
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| 65 | |
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| 66 | CALL transfert_request(f_dps,req_i1) |
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| 67 | CALL transfert_request(f_ps,req_i1) |
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| 68 | |
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| 69 | DO ind=1,ndomain |
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| 70 | CALL swap_dimensions(ind) |
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| 71 | CALL swap_geometry(ind) |
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| 72 | |
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| 73 | ps=f_ps(ind) |
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| 74 | dps=f_dps(ind) |
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| 75 | |
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| 76 | DO j=jj_begin,jj_end |
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| 77 | DO i=ii_begin,ii_end |
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| 78 | ij=(j-1)*iim+i |
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| 79 | IF (domain(ind)%own(i,j)) THEN |
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| 80 | mass_tot=mass_tot+ps(ij)*Ai(ij)/g |
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| 81 | dmass_tot=dmass_tot+dps(ij)*Ai(ij)/g |
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| 82 | ENDIF |
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| 83 | ENDDO |
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| 84 | ENDDO |
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| 85 | |
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| 86 | ENDDO |
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| 87 | PRINT*, "mass_tot ", mass_tot," dmass_tot ",dmass_tot |
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| 88 | |
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| 89 | END SUBROUTINE check_mass_conservation |
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| 90 | |
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| 91 | |
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| 92 | |
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[15] | 93 | SUBROUTINE caldyn(it,f_phis, f_ps, f_theta_rhodz, f_u, f_dps, f_dtheta_rhodz, f_du) |
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[19] | 94 | USE icosa |
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[12] | 95 | USE vorticity_mod |
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| 96 | USE kinetic_mod |
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[15] | 97 | USE theta2theta_rhodz_mod |
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[12] | 98 | IMPLICIT NONE |
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[15] | 99 | INTEGER,INTENT(IN) :: it |
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[12] | 100 | TYPE(t_field),POINTER :: f_phis(:) |
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| 101 | TYPE(t_field),POINTER :: f_ps(:) |
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| 102 | TYPE(t_field),POINTER :: f_theta_rhodz(:) |
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| 103 | TYPE(t_field),POINTER :: f_u(:) |
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| 104 | TYPE(t_field),POINTER :: f_dps(:) |
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| 105 | TYPE(t_field),POINTER :: f_dtheta_rhodz(:) |
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| 106 | TYPE(t_field),POINTER :: f_du(:) |
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| 107 | |
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| 108 | REAL(rstd),POINTER :: phis(:) |
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| 109 | REAL(rstd),POINTER :: ps(:) |
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| 110 | REAL(rstd),POINTER :: theta_rhodz(:,:) |
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| 111 | REAL(rstd),POINTER :: u(:,:) |
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| 112 | REAL(rstd),POINTER :: dps(:) |
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| 113 | REAL(rstd),POINTER :: dtheta_rhodz(:,:) |
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| 114 | REAL(rstd),POINTER :: du(:,:) |
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[21] | 115 | INTEGER :: ind,ij |
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[15] | 116 | |
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[12] | 117 | |
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| 118 | CALL transfert_request(f_phis,req_i1) |
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| 119 | CALL transfert_request(f_ps,req_i1) |
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| 120 | CALL transfert_request(f_theta_rhodz,req_i1) |
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| 121 | CALL transfert_request(f_u,req_e1) |
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[21] | 122 | ! CALL transfert_request(f_u,req_e1) |
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[12] | 123 | |
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| 124 | |
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| 125 | ! CALL vorticity(f_u,f_out_z) |
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| 126 | |
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| 127 | DO ind=1,ndomain |
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| 128 | CALL swap_dimensions(ind) |
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| 129 | CALL swap_geometry(ind) |
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| 130 | CALL swap_caldyn(ind) |
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| 131 | |
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| 132 | phis=f_phis(ind) |
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| 133 | ps=f_ps(ind) |
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| 134 | theta_rhodz=f_theta_rhodz(ind) |
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| 135 | u=f_u(ind) |
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| 136 | dps=f_dps(ind) |
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| 137 | dtheta_rhodz=f_dtheta_rhodz(ind) |
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| 138 | du=f_du(ind) |
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[21] | 139 | ! ij=(jj_end-1-1)*iim+ii_begin |
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| 140 | ! PRINT *,"--> ind=",ind,ij |
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| 141 | ! PRINT *,u(ij+u_right,1) |
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| 142 | ! PRINT *,u(ij+u_rup,1) |
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| 143 | ! PRINT *,u(ij+u_lup,1) |
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| 144 | ! PRINT *,u(ij+u_left,1) |
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| 145 | ! PRINT *,u(ij+u_ldown,1) |
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| 146 | ! PRINT *,u(ij+u_rdown,1) |
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| 147 | |
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| 148 | ! ij=(jj_end-1-1)*iim+ii_end |
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| 149 | ! PRINT *,"--> ind=",ind,ij |
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| 150 | ! PRINT *,u(ij+u_right,1) |
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| 151 | ! PRINT *,u(ij+u_rup,1) |
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| 152 | ! PRINT *,u(ij+u_lup,1) |
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| 153 | ! PRINT *,u(ij+u_left,1) |
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| 154 | ! PRINT *,u(ij+u_ldown,1) |
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| 155 | ! PRINT *,u(ij+u_rdown,1) |
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[12] | 156 | !$OMP PARALLEL DEFAULT(SHARED) |
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| 157 | CALL compute_caldyn(phis, ps, theta_rhodz, u, dps, dtheta_rhodz, du) |
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| 158 | !$OMP END PARALLEL |
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| 159 | ENDDO |
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| 160 | |
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| 161 | CALL transfert_request(f_out_u,req_e1) |
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[21] | 162 | ! CALL transfert_request(f_out_u,req_e1) |
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[12] | 163 | |
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| 164 | ! CALL vorticity(f_u,f_out_z) |
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| 165 | |
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[15] | 166 | IF (mod(it,itau_out)==0 ) THEN |
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[12] | 167 | CALL writefield("ps",f_ps) |
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[21] | 168 | CALL writefield("dps",f_dps) |
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[12] | 169 | ! CALL writefield("theta_rhodz",f_theta_rhodz) |
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[21] | 170 | ! CALL kinetic(f_u,f_out) |
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| 171 | ! CALL writefield("Ki",f_out) |
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[15] | 172 | ! CALL writefield("dtheta_rhodz",f_dtheta_rhodz) |
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| 173 | CALL vorticity(f_u,f_out_z) |
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| 174 | CALL writefield("vort",f_out_z) |
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| 175 | ! CALL writefield("theta",f_out) |
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| 176 | CALL theta_rhodz2temperature(f_ps,f_theta_rhodz,f_out) ; |
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| 177 | CALL writefield("T",f_out) |
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[12] | 178 | |
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| 179 | ! CALL writefield("out",f_out) |
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| 180 | ! DO ind=1,ndomain |
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| 181 | ! CALL writefield("Ki",f_out,ind) |
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| 182 | ! CALL writefield("vort",f_out_z,ind) |
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[21] | 183 | ! CALL writefield("dps",f_dps,ind) |
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[12] | 184 | ! ENDDO |
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| 185 | |
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| 186 | ENDIF |
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| 187 | ! CALL check_mass_conservation(f_ps,f_dps) |
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[15] | 188 | |
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[12] | 189 | END SUBROUTINE caldyn |
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| 190 | |
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| 191 | |
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| 192 | SUBROUTINE compute_caldyn(phis, ps, theta_rhodz, u, dps, dtheta_rhodz, du) |
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[19] | 193 | USE icosa |
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[12] | 194 | USE disvert_mod |
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| 195 | IMPLICIT NONE |
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| 196 | REAL(rstd),INTENT(IN) :: phis(iim*jjm) |
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| 197 | REAL(rstd),INTENT(IN) :: u(iim*3*jjm,llm) |
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| 198 | REAL(rstd),INTENT(IN) :: theta_rhodz(iim*jjm,llm) |
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| 199 | REAL(rstd),INTENT(IN) :: ps(iim*jjm) |
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| 200 | REAL(rstd),INTENT(OUT) :: du(iim*3*jjm,llm) |
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| 201 | REAL(rstd),INTENT(OUT):: dtheta_rhodz(iim*jjm,llm) |
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| 202 | REAL(rstd),INTENT(OUT):: dps(iim*jjm) |
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| 203 | |
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| 204 | INTEGER :: i,j,ij,l |
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| 205 | REAL(rstd) :: ww,uu |
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| 206 | REAL(rstd) :: delta |
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| 207 | REAL(rstd) :: etav,hv |
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| 208 | |
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| 209 | ! REAL(rstd) :: theta(iim*jjm,llm) ! potential temperature |
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| 210 | ! REAL(rstd) :: p(iim*jjm,llm+1) ! pression |
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| 211 | ! REAL(rstd) :: pk(iim*jjm,llm) ! Exner function |
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| 212 | ! REAL(rstd) :: pks(iim*jjm) |
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| 213 | !! Intermediate variable to compute exner function |
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| 214 | ! REAL(rstd) :: alpha(iim*jjm,llm) |
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| 215 | ! REAL(rstd) :: beta(iim*jjm,llm) |
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| 216 | !! |
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| 217 | ! REAL(rstd) :: phi(iim*jjm,llm) ! geopotential |
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| 218 | ! REAL(rstd) :: mass(iim*jjm,llm) ! mass |
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| 219 | ! REAL(rstd) :: rhodz(iim*jjm,llm) ! mass density |
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| 220 | ! REAL(rstd) :: Fe(3*iim*jjm,llm) ! mass flux |
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| 221 | ! REAL(rstd) :: Ftheta(3*iim*jjm,llm) ! theta flux |
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| 222 | ! REAL(rstd) :: convm(iim*jjm,llm) ! mass flux convergence |
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| 223 | ! REAL(rstd) :: w(iim*jjm,llm) ! vertical velocity |
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| 224 | ! REAL(rstd) :: qv(2*iim*jjm,llm) ! potential velocity |
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| 225 | ! REAL(rstd) :: berni(iim*jjm,llm) ! bernouilli term |
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| 226 | |
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| 227 | REAL(rstd),ALLOCATABLE,SAVE :: theta(:,:) ! potential temperature |
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| 228 | REAL(rstd),ALLOCATABLE,SAVE :: p(:,:) ! pression |
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| 229 | REAL(rstd),ALLOCATABLE,SAVE :: pk(:,:) ! Exner function |
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| 230 | REAL(rstd),ALLOCATABLE,SAVE :: pks(:) |
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| 231 | ! Intermediate variable to compute exner function |
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| 232 | REAL(rstd),ALLOCATABLE,SAVE :: alpha(:,:) |
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| 233 | REAL(rstd),ALLOCATABLE,SAVE :: beta(:,:) |
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| 234 | ! |
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| 235 | REAL(rstd),ALLOCATABLE,SAVE :: phi(:,:) ! geopotential |
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| 236 | REAL(rstd),ALLOCATABLE,SAVE :: mass(:,:) ! mass |
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| 237 | REAL(rstd),ALLOCATABLE,SAVE :: rhodz(:,:) ! mass density |
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| 238 | REAL(rstd),ALLOCATABLE,SAVE :: Fe(:,:) ! mass flux |
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| 239 | REAL(rstd),ALLOCATABLE,SAVE :: Ftheta(:,:) ! theta flux |
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| 240 | REAL(rstd),ALLOCATABLE,SAVE :: convm(:,:) ! mass flux convergence |
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| 241 | REAL(rstd),ALLOCATABLE,SAVE :: w(:,:) ! vertical velocity |
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| 242 | REAL(rstd),ALLOCATABLE,SAVE :: qv(:,:) ! potential velocity |
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| 243 | REAL(rstd),ALLOCATABLE,SAVE :: berni(:,:) ! bernouilli term |
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| 244 | |
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| 245 | LOGICAL,SAVE :: first=.TRUE. |
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| 246 | !$OMP THREADPRIVATE(first) |
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| 247 | |
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| 248 | !$OMP BARRIER |
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| 249 | !$OMP MASTER |
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| 250 | IF (first) THEN |
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| 251 | ALLOCATE(theta(iim*jjm,llm)) ! potential temperature |
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| 252 | ALLOCATE(p(iim*jjm,llm+1)) ! pression |
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| 253 | ALLOCATE(pk(iim*jjm,llm)) ! Exner function |
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| 254 | ALLOCATE(pks(iim*jjm)) |
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| 255 | ALLOCATE(alpha(iim*jjm,llm)) |
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| 256 | ALLOCATE(beta(iim*jjm,llm)) |
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| 257 | ALLOCATE(phi(iim*jjm,llm)) ! geopotential |
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| 258 | ALLOCATE(mass(iim*jjm,llm)) ! mass |
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| 259 | ALLOCATE(rhodz(iim*jjm,llm)) ! mass density |
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| 260 | ALLOCATE(Fe(3*iim*jjm,llm)) ! mass flux |
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| 261 | ALLOCATE(Ftheta(3*iim*jjm,llm)) ! theta flux |
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| 262 | ALLOCATE(convm(iim*jjm,llm)) ! mass flux convergence |
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| 263 | ALLOCATE(w(iim*jjm,llm)) ! vertical velocity |
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| 264 | ALLOCATE(qv(2*iim*jjm,llm)) ! potential velocity |
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| 265 | ALLOCATE(berni(iim*jjm,llm)) ! bernouilli term |
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| 266 | first=.FALSE. |
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| 267 | ENDIF |
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| 268 | !$OMP END MASTER |
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| 269 | !$OMP BARRIER |
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| 270 | ! du(:,:)=0 |
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| 271 | ! theta=1e10 |
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| 272 | ! p=1e10 |
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| 273 | ! pk=1e10 |
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| 274 | ! pks=1e10 |
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| 275 | ! alpha=1e10 |
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| 276 | ! beta=1e10 |
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| 277 | ! phi=1e10 |
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| 278 | ! mass=1e10 |
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| 279 | ! rhodz=1e10 |
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| 280 | ! Fe=1e10 |
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| 281 | ! Ftheta=1e10 |
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| 282 | ! convm=1e10 |
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| 283 | ! w=1e10 |
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| 284 | ! qv=1e10 |
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| 285 | ! berni=1e10 |
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| 286 | |
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| 287 | !!! Compute pression |
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| 288 | |
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| 289 | DO l = 1, llm+1 |
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| 290 | !$OMP DO |
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| 291 | DO j=jj_begin-1,jj_end+1 |
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| 292 | DO i=ii_begin-1,ii_end+1 |
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| 293 | ij=(j-1)*iim+i |
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| 294 | p(ij,l) = ap(l) + bp(l) * ps(ij) |
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| 295 | ENDDO |
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| 296 | ENDDO |
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| 297 | ENDDO |
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| 298 | |
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| 299 | |
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| 300 | |
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| 301 | |
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| 302 | !!! Compute Exnher function |
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| 303 | |
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| 304 | !! Compute Alpha and Beta |
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| 305 | |
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| 306 | ! for llm layer |
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| 307 | !$OMP DO |
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| 308 | DO j=jj_begin-1,jj_end+1 |
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| 309 | DO i=ii_begin-1,ii_end+1 |
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| 310 | ij=(j-1)*iim+i |
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| 311 | alpha(ij,llm) = 0. |
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| 312 | beta (ij,llm) = 1./ (1+ 2*kappa) |
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| 313 | ENDDO |
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| 314 | ENDDO |
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| 315 | |
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| 316 | ! for other layer |
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| 317 | DO l = llm-1 , 2 , -1 |
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| 318 | !$OMP DO |
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| 319 | DO j=jj_begin-1,jj_end+1 |
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| 320 | DO i=ii_begin-1,ii_end+1 |
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| 321 | ij=(j-1)*iim+i |
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| 322 | delta = p(ij,l)* (1+2*kappa) + p(ij,l+1)* ( beta(ij,l+1)- (1+2*kappa) ) |
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| 323 | alpha(ij,l) = - p(ij,l+1) / delta * alpha(ij,l+1) |
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| 324 | beta (ij,l) = p(ij,l ) / delta |
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| 325 | ENDDO |
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| 326 | ENDDO |
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| 327 | ENDDO |
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| 328 | |
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| 329 | !! Compute pk |
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| 330 | |
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| 331 | ! for first layer |
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| 332 | !$OMP DO |
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| 333 | DO j=jj_begin-1,jj_end+1 |
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| 334 | DO i=ii_begin-1,ii_end+1 |
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| 335 | ij=(j-1)*iim+i |
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| 336 | pks(ij) = cpp * ( ps(ij)/preff ) ** kappa |
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| 337 | pk(ij,1) = ( p(ij,1)*pks(ij) - 0.5*alpha(ij,2)*p(ij,2) ) / & |
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| 338 | ( p(ij,1)* (1.+kappa) + 0.5*( beta(ij,2)-(1.+2*kappa) )* p(ij,2) ) |
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| 339 | ENDDO |
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| 340 | ENDDO |
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| 341 | |
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| 342 | ! for other layers |
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| 343 | |
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| 344 | DO l = 2, llm |
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| 345 | !$OMP DO |
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| 346 | DO j=jj_begin-1,jj_end+1 |
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| 347 | DO i=ii_begin-1,ii_end+1 |
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| 348 | ij=(j-1)*iim+i |
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| 349 | pk(ij,l) = alpha(ij,l) + beta(ij,l) * pk(ij,l-1) |
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| 350 | ENDDO |
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| 351 | ENDDO |
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| 352 | ENDDO |
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| 353 | |
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| 354 | |
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| 355 | !!! Compute mass |
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| 356 | DO l = 1, llm |
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| 357 | !$OMP DO |
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| 358 | DO j=jj_begin-1,jj_end+1 |
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| 359 | DO i=ii_begin-1,ii_end+1 |
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| 360 | ij=(j-1)*iim+i |
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| 361 | mass(ij,l) = ( p(ij,l) - p(ij,l+1) ) * Ai(ij)/g |
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| 362 | rhodz(ij,l) = mass(ij,l) / Ai(ij) |
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| 363 | ENDDO |
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| 364 | ENDDO |
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| 365 | ENDDO |
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| 366 | |
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| 367 | !! compute theta |
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| 368 | DO l = 1, llm |
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| 369 | !$OMP DO |
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| 370 | DO j=jj_begin-1,jj_end+1 |
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| 371 | DO i=ii_begin-1,ii_end+1 |
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| 372 | ij=(j-1)*iim+i |
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| 373 | theta(ij,l) = theta_rhodz(ij,l)/rhodz(ij,l) |
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| 374 | ENDDO |
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| 375 | ENDDO |
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| 376 | ENDDO |
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| 377 | |
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| 378 | |
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| 379 | !!! Compute geopotential |
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| 380 | |
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| 381 | ! for first layer |
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| 382 | !$OMP DO |
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| 383 | DO j=jj_begin-1,jj_end+1 |
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| 384 | DO i=ii_begin-1,ii_end+1 |
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| 385 | ij=(j-1)*iim+i |
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| 386 | phi( ij,1 ) = phis( ij ) + theta(ij,1) * ( pks(ij) - pk(ij,1) ) |
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| 387 | ENDDO |
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| 388 | ENDDO |
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| 389 | |
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| 390 | ! for other layers |
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| 391 | DO l = 2, llm |
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| 392 | !$OMP DO |
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| 393 | DO j=jj_begin-1,jj_end+1 |
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| 394 | DO i=ii_begin-1,ii_end+1 |
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| 395 | ij=(j-1)*iim+i |
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| 396 | phi(ij,l) = phi(ij,l-1) + 0.5 * ( theta(ij,l) + theta(ij,l-1) ) & |
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| 397 | * ( pk(ij,l-1) - pk(ij,l) ) |
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| 398 | ENDDO |
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| 399 | ENDDO |
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| 400 | ENDDO |
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| 401 | |
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| 402 | |
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| 403 | !!! Compute mass flux |
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[26] | 404 | !! question ᅵ thomas : meilleure pondᅵration de la masse sur les liens ? |
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[12] | 405 | |
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| 406 | DO l = 1, llm |
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| 407 | !$OMP DO |
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| 408 | DO j=jj_begin-1,jj_end+1 |
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| 409 | DO i=ii_begin-1,ii_end+1 |
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| 410 | ij=(j-1)*iim+i |
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| 411 | Fe(ij+u_right,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))*u(ij+u_right,l)*le(ij+u_right) |
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| 412 | Fe(ij+u_lup,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))*u(ij+u_lup,l)*le(ij+u_lup) |
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| 413 | Fe(ij+u_ldown,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l)*le(ij+u_ldown) |
---|
| 414 | ENDDO |
---|
| 415 | ENDDO |
---|
| 416 | ENDDO |
---|
| 417 | |
---|
| 418 | !!! fisrt composante dtheta |
---|
| 419 | |
---|
| 420 | ! Flux on the edge |
---|
| 421 | DO l = 1, llm |
---|
| 422 | !$OMP DO |
---|
| 423 | DO j=jj_begin-1,jj_end+1 |
---|
| 424 | DO i=ii_begin-1,ii_end+1 |
---|
| 425 | ij=(j-1)*iim+i |
---|
| 426 | Ftheta(ij+u_right,l)=0.5*(theta(ij,l)+theta(ij+t_right,l))*Fe(ij+u_right,l) |
---|
| 427 | Ftheta(ij+u_lup,l)=0.5*(theta(ij,l)+theta(ij+t_lup,l))*Fe(ij+u_lup,l) |
---|
| 428 | Ftheta(ij+u_ldown,l)=0.5*(theta(ij,l)+theta(ij+t_ldown,l))*Fe(ij+u_ldown,l) |
---|
| 429 | ENDDO |
---|
| 430 | ENDDO |
---|
| 431 | ENDDO |
---|
| 432 | |
---|
| 433 | |
---|
| 434 | ! compute divergence |
---|
| 435 | DO l = 1, llm |
---|
| 436 | !$OMP DO |
---|
| 437 | DO j=jj_begin,jj_end |
---|
| 438 | DO i=ii_begin,ii_end |
---|
| 439 | ij=(j-1)*iim+i |
---|
| 440 | ! signe ? attention d (rho theta dz) |
---|
[22] | 441 | ! dtheta_rhodz = -div(flux.theta) |
---|
[12] | 442 | dtheta_rhodz(ij,l)=-1./Ai(ij)*(ne(ij,right)*Ftheta(ij+u_right,l) + & |
---|
| 443 | ne(ij,rup)*Ftheta(ij+u_rup,l) + & |
---|
| 444 | ne(ij,lup)*Ftheta(ij+u_lup,l) + & |
---|
| 445 | ne(ij,left)*Ftheta(ij+u_left,l) + & |
---|
| 446 | ne(ij,ldown)*Ftheta(ij+u_ldown,l) + & |
---|
| 447 | ne(ij,rdown)*Ftheta(ij+u_rdown,l)) |
---|
| 448 | ENDDO |
---|
| 449 | ENDDO |
---|
| 450 | ENDDO |
---|
| 451 | |
---|
| 452 | |
---|
| 453 | |
---|
| 454 | !!! mass flux convergence computation |
---|
| 455 | |
---|
| 456 | ! horizontal convergence |
---|
| 457 | DO l = 1, llm |
---|
| 458 | !$OMP DO |
---|
| 459 | DO j=jj_begin,jj_end |
---|
| 460 | DO i=ii_begin,ii_end |
---|
| 461 | ij=(j-1)*iim+i |
---|
[22] | 462 | ! convm = +div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
---|
[12] | 463 | convm(ij,l)= 1./Ai(ij)*(ne(ij,right)*Fe(ij+u_right,l) + & |
---|
| 464 | ne(ij,rup)*Fe(ij+u_rup,l) + & |
---|
| 465 | ne(ij,lup)*Fe(ij+u_lup,l) + & |
---|
| 466 | ne(ij,left)*Fe(ij+u_left,l) + & |
---|
| 467 | ne(ij,ldown)*Fe(ij+u_ldown,l) + & |
---|
| 468 | ne(ij,rdown)*Fe(ij+u_rdown,l)) |
---|
| 469 | ENDDO |
---|
| 470 | ENDDO |
---|
| 471 | ENDDO |
---|
| 472 | |
---|
| 473 | |
---|
| 474 | ! vertical integration from up to down |
---|
| 475 | DO l = llm-1, 1, -1 |
---|
| 476 | !$OMP DO |
---|
| 477 | DO j=jj_begin,jj_end |
---|
| 478 | DO i=ii_begin,ii_end |
---|
| 479 | ij=(j-1)*iim+i |
---|
| 480 | convm(ij,l) = convm(ij,l) + convm(ij,l+1) |
---|
| 481 | ENDDO |
---|
| 482 | ENDDO |
---|
| 483 | ENDDO |
---|
| 484 | |
---|
| 485 | |
---|
| 486 | DO l = 1, llm |
---|
| 487 | !$OMP DO |
---|
| 488 | DO j=jj_begin,jj_end |
---|
| 489 | DO i=ii_begin,ii_end |
---|
| 490 | ij=(j-1)*iim+i |
---|
| 491 | out(ij,l)=theta(ij,l)-288 |
---|
| 492 | ENDDO |
---|
| 493 | ENDDO |
---|
| 494 | ENDDO |
---|
| 495 | |
---|
| 496 | |
---|
| 497 | !!! Compute dps |
---|
| 498 | !$OMP DO |
---|
| 499 | DO j=jj_begin,jj_end |
---|
| 500 | DO i=ii_begin,ii_end |
---|
| 501 | ij=(j-1)*iim+i |
---|
[22] | 502 | ! dps/dt = -int(div flux)dz |
---|
[12] | 503 | dps(ij)=-convm(ij,1) * g |
---|
| 504 | ENDDO |
---|
| 505 | ENDDO |
---|
| 506 | |
---|
| 507 | |
---|
| 508 | |
---|
| 509 | !!! Compute vertical velocity |
---|
| 510 | DO l = 1,llm-1 |
---|
| 511 | !$OMP DO |
---|
| 512 | DO j=jj_begin,jj_end |
---|
| 513 | DO i=ii_begin,ii_end |
---|
| 514 | ij=(j-1)*iim+i |
---|
[22] | 515 | ! w = int(z,ztop,div(flux)dz) + B(eta)dps/dt |
---|
| 516 | ! => w>0 for upward transport |
---|
[12] | 517 | w( ij, l+1 ) = convm( ij, l+1 ) - bp(l+1) * convm( ij, 1 ) |
---|
| 518 | ENDDO |
---|
| 519 | ENDDO |
---|
| 520 | ENDDO |
---|
| 521 | |
---|
| 522 | !$OMP DO |
---|
| 523 | DO j=jj_begin,jj_end |
---|
| 524 | DO i=ii_begin,ii_end |
---|
| 525 | ij=(j-1)*iim+i |
---|
| 526 | w(ij,1) = 0. |
---|
| 527 | ENDDO |
---|
| 528 | ENDDO |
---|
| 529 | |
---|
| 530 | |
---|
| 531 | !!! Compute potential vorticity |
---|
| 532 | DO l = 1,llm |
---|
| 533 | !$OMP DO |
---|
| 534 | DO j=jj_begin-1,jj_end+1 |
---|
| 535 | DO i=ii_begin-1,ii_end+1 |
---|
| 536 | ij=(j-1)*iim+i |
---|
| 537 | |
---|
| 538 | etav= 1./Av(ij+z_up)*( ne(ij,rup) * u(ij+u_rup,l) * de(ij+u_rup) & |
---|
| 539 | + ne(ij+t_rup,left) * u(ij+t_rup+u_left,l) * de(ij+t_rup+u_left) & |
---|
| 540 | - ne(ij,lup) * u(ij+u_lup,l) * de(ij+u_lup) ) |
---|
| 541 | |
---|
| 542 | hv = Riv2(ij,vup) * rhodz(ij,l) & |
---|
| 543 | + Riv2(ij+t_rup,vldown) * rhodz(ij+t_rup,l) & |
---|
| 544 | + Riv2(ij+t_lup,vrdown) * rhodz(ij+t_lup,l) |
---|
| 545 | |
---|
| 546 | qv(ij+z_up,l) = ( etav+fv(ij+z_up) )/hv |
---|
| 547 | |
---|
| 548 | etav = 1./Av(ij+z_down)*( ne(ij,ldown) * u(ij+u_ldown,l) * de(ij+u_ldown) & |
---|
| 549 | + ne(ij+t_ldown,right) * u(ij+t_ldown+u_right,l) * de(ij+t_ldown+u_right) & |
---|
| 550 | - ne(ij,rdown) * u(ij+u_rdown,l) * de(ij+u_rdown) ) |
---|
| 551 | |
---|
| 552 | hv = Riv2(ij,vdown) * rhodz(ij,l) & |
---|
| 553 | + Riv2(ij+t_ldown,vrup) * rhodz(ij+t_ldown,l) & |
---|
| 554 | + Riv2(ij+t_rdown,vlup) * rhodz(ij+t_rdown,l) |
---|
| 555 | |
---|
| 556 | qv(ij+z_down,l) =( etav+fv(ij+z_down) )/hv |
---|
| 557 | |
---|
| 558 | ENDDO |
---|
| 559 | ENDDO |
---|
| 560 | ENDDO |
---|
| 561 | |
---|
| 562 | !!! Compute potential vorticity contribution to du |
---|
| 563 | DO l=1,llm |
---|
| 564 | !$OMP DO |
---|
| 565 | DO j=jj_begin,jj_end |
---|
| 566 | DO i=ii_begin,ii_end |
---|
| 567 | ij=(j-1)*iim+i |
---|
| 568 | |
---|
| 569 | du(ij+u_right,l) = 0.5*(qv(ij+z_rdown,l)+qv(ij+z_rup,l))/de(ij+u_right) * & |
---|
| 570 | ( wee(ij+u_right,1,1)*Fe(ij+u_rup,l)+ & |
---|
| 571 | wee(ij+u_right,2,1)*Fe(ij+u_lup,l)+ & |
---|
| 572 | wee(ij+u_right,3,1)*Fe(ij+u_left,l)+ & |
---|
| 573 | wee(ij+u_right,4,1)*Fe(ij+u_ldown,l)+ & |
---|
| 574 | wee(ij+u_right,5,1)*Fe(ij+u_rdown,l)+ & |
---|
| 575 | wee(ij+u_right,1,2)*Fe(ij+t_right+u_ldown,l)+ & |
---|
| 576 | wee(ij+u_right,2,2)*Fe(ij+t_right+u_rdown,l)+ & |
---|
| 577 | wee(ij+u_right,3,2)*Fe(ij+t_right+u_right,l)+ & |
---|
| 578 | wee(ij+u_right,4,2)*Fe(ij+t_right+u_rup,l)+ & |
---|
| 579 | wee(ij+u_right,5,2)*Fe(ij+t_right+u_lup,l) ) |
---|
| 580 | |
---|
| 581 | |
---|
| 582 | du(ij+u_lup,l) = 0.5*(qv(ij+z_up,l)+qv(ij+z_lup,l))/de(ij+u_lup) * & |
---|
| 583 | ( wee(ij+u_lup,1,1)*Fe(ij+u_left,l)+ & |
---|
| 584 | wee(ij+u_lup,2,1)*Fe(ij+u_ldown,l)+ & |
---|
| 585 | wee(ij+u_lup,3,1)*Fe(ij+u_rdown,l)+ & |
---|
| 586 | wee(ij+u_lup,4,1)*Fe(ij+u_right,l)+ & |
---|
| 587 | wee(ij+u_lup,5,1)*Fe(ij+u_rup,l)+ & |
---|
| 588 | wee(ij+u_lup,1,2)*Fe(ij+t_lup+u_right,l)+ & |
---|
| 589 | wee(ij+u_lup,2,2)*Fe(ij+t_lup+u_rup,l)+ & |
---|
| 590 | wee(ij+u_lup,3,2)*Fe(ij+t_lup+u_lup,l)+ & |
---|
| 591 | wee(ij+u_lup,4,2)*Fe(ij+t_lup+u_left,l)+ & |
---|
| 592 | wee(ij+u_lup,5,2)*Fe(ij+t_lup+u_ldown,l) ) |
---|
| 593 | |
---|
| 594 | |
---|
| 595 | du(ij+u_ldown,l) = 0.5*(qv(ij+z_ldown,l)+qv(ij+z_down,l))/de(ij+u_ldown) * & |
---|
| 596 | ( wee(ij+u_ldown,1,1)*Fe(ij+u_rdown,l)+ & |
---|
| 597 | wee(ij+u_ldown,2,1)*Fe(ij+u_right,l)+ & |
---|
| 598 | wee(ij+u_ldown,3,1)*Fe(ij+u_rup,l)+ & |
---|
| 599 | wee(ij+u_ldown,4,1)*Fe(ij+u_lup,l)+ & |
---|
| 600 | wee(ij+u_ldown,5,1)*Fe(ij+u_left,l)+ & |
---|
| 601 | wee(ij+u_ldown,1,2)*Fe(ij+t_ldown+u_lup,l)+ & |
---|
| 602 | wee(ij+u_ldown,2,2)*Fe(ij+t_ldown+u_left,l)+ & |
---|
| 603 | wee(ij+u_ldown,3,2)*Fe(ij+t_ldown+u_ldown,l)+ & |
---|
| 604 | wee(ij+u_ldown,4,2)*Fe(ij+t_ldown+u_rdown,l)+ & |
---|
| 605 | wee(ij+u_ldown,5,2)*Fe(ij+t_ldown+u_right,l) ) |
---|
| 606 | |
---|
| 607 | |
---|
| 608 | ENDDO |
---|
| 609 | ENDDO |
---|
| 610 | ENDDO |
---|
| 611 | |
---|
| 612 | |
---|
| 613 | !!! Compute bernouilli term = Kinetic Energy + geopotential |
---|
| 614 | DO l=1,llm |
---|
| 615 | !$OMP DO |
---|
| 616 | DO j=jj_begin,jj_end |
---|
| 617 | DO i=ii_begin,ii_end |
---|
| 618 | ij=(j-1)*iim+i |
---|
| 619 | |
---|
| 620 | berni(ij,l) = phi(ij,l) & |
---|
| 621 | + 1/(4*Ai(ij))*(le(ij+u_right)*de(ij+u_right)*u(ij+u_right,l)**2 + & |
---|
| 622 | le(ij+u_rup)*de(ij+u_rup)*u(ij+u_rup,l)**2 + & |
---|
| 623 | le(ij+u_lup)*de(ij+u_lup)*u(ij+u_lup,l)**2 + & |
---|
| 624 | le(ij+u_left)*de(ij+u_left)*u(ij+u_left,l)**2 + & |
---|
| 625 | le(ij+u_ldown)*de(ij+u_ldown)*u(ij+u_ldown,l)**2 + & |
---|
| 626 | le(ij+u_rdown)*de(ij+u_rdown)*u(ij+u_rdown,l)**2 ) |
---|
| 627 | |
---|
| 628 | ENDDO |
---|
| 629 | ENDDO |
---|
| 630 | ENDDO |
---|
| 631 | |
---|
| 632 | |
---|
| 633 | !!! second contribution to du |
---|
| 634 | DO l=1,llm |
---|
| 635 | !$OMP DO |
---|
| 636 | DO j=jj_begin,jj_end |
---|
| 637 | DO i=ii_begin,ii_end |
---|
| 638 | ij=(j-1)*iim+i |
---|
| 639 | |
---|
| 640 | du(ij+u_right,l)= du(ij+u_right,l)+ 1/de(ij+u_right) * ( & |
---|
| 641 | 0.5*(theta(ij,l)+theta(ij+t_right,l)) & |
---|
| 642 | *( ne(ij,right)*pk(ij,l)+ne(ij+t_right,left)*pk(ij+t_right,l)) & |
---|
| 643 | + ne(ij,right)*berni(ij,l)+ne(ij+t_right,left)*berni(ij+t_right,l) ) |
---|
| 644 | |
---|
| 645 | du(ij+u_lup,l)= du(ij+u_lup,l)+ 1/de(ij+u_lup) * ( & |
---|
| 646 | 0.5*(theta(ij,l)+theta(ij+t_lup,l)) & |
---|
| 647 | *( ne(ij,lup)*pk(ij,l)+ne(ij+t_lup,rdown)*pk(ij+t_lup,l)) & |
---|
| 648 | + ne(ij,lup)*berni(ij,l)+ne(ij+t_lup,rdown)*berni(ij+t_lup,l) ) |
---|
| 649 | |
---|
| 650 | du(ij+u_ldown,l)= du(ij+u_ldown,l)+ 1/de(ij+u_ldown) * ( & |
---|
| 651 | 0.5*(theta(ij,l)+theta(ij+t_ldown,l)) & |
---|
| 652 | *( ne(ij,ldown)*pk(ij,l)+ne(ij+t_ldown,rup)*pk(ij+t_ldown,l)) & |
---|
| 653 | + ne(ij,ldown)*berni(ij,l)+ne(ij+t_ldown,rup)*berni(ij+t_ldown,l) ) |
---|
| 654 | ENDDO |
---|
| 655 | ENDDO |
---|
| 656 | ENDDO |
---|
| 657 | |
---|
| 658 | !!! second contribution to du |
---|
| 659 | DO l=1,llm |
---|
| 660 | !$OMP DO |
---|
| 661 | DO j=jj_begin,jj_end |
---|
| 662 | DO i=ii_begin,ii_end |
---|
| 663 | ij=(j-1)*iim+i |
---|
| 664 | |
---|
| 665 | out_u(ij+u_right,l)= 1/de(ij+u_right) * ( & |
---|
| 666 | 0.5*(theta(ij,l)+theta(ij+t_right,l)) & |
---|
| 667 | *( ne(ij,right)*pk(ij,l)+ne(ij+t_right,left)*pk(ij+t_right,l)) & |
---|
| 668 | + ne(ij,right)*berni(ij,l)+ne(ij+t_right,left)*berni(ij+t_right,l) ) |
---|
| 669 | |
---|
| 670 | out_u(ij+u_lup,l)= 1/de(ij+u_lup) * ( & |
---|
| 671 | 0.5*(theta(ij,l)+theta(ij+t_lup,l)) & |
---|
| 672 | *( ne(ij,lup)*pk(ij,l)+ne(ij+t_lup,rdown)*pk(ij+t_lup,l)) & |
---|
| 673 | + ne(ij,lup)*berni(ij,l)+ne(ij+t_lup,rdown)*berni(ij+t_lup,l) ) |
---|
| 674 | |
---|
| 675 | out_u(ij+u_ldown,l)= 1/de(ij+u_ldown) * ( & |
---|
| 676 | 0.5*(theta(ij,l)+theta(ij+t_ldown,l)) & |
---|
| 677 | *( ne(ij,ldown)*pk(ij,l)+ne(ij+t_ldown,rup)*pk(ij+t_ldown,l)) & |
---|
| 678 | + ne(ij,ldown)*berni(ij,l)+ne(ij+t_ldown,rup)*berni(ij+t_ldown,l) ) |
---|
| 679 | ENDDO |
---|
| 680 | ENDDO |
---|
| 681 | ENDDO |
---|
| 682 | !!! contribution due to vertical advection |
---|
| 683 | |
---|
| 684 | ! Contribution to dtheta |
---|
| 685 | DO l=1,llm-1 |
---|
| 686 | !$OMP DO |
---|
| 687 | DO j=jj_begin,jj_end |
---|
| 688 | DO i=ii_begin,ii_end |
---|
[22] | 689 | ! ww>0 <=> upward transport |
---|
[12] | 690 | ij=(j-1)*iim+i |
---|
| 691 | ww = 0.5 * w(ij,l+1) * (theta(ij,l) + theta(ij,l+1) ) |
---|
[22] | 692 | dtheta_rhodz(ij, l ) = dtheta_rhodz(ij, l ) - ww |
---|
[12] | 693 | dtheta_rhodz(ij,l+1) = dtheta_rhodz(ij,l+1) + ww |
---|
| 694 | ENDDO |
---|
| 695 | ENDDO |
---|
| 696 | ENDDO |
---|
| 697 | |
---|
| 698 | |
---|
| 699 | ! Contribution to du |
---|
| 700 | DO l=1,llm-1 |
---|
| 701 | !$OMP DO |
---|
| 702 | DO j=jj_begin,jj_end |
---|
| 703 | DO i=ii_begin,ii_end |
---|
| 704 | ij=(j-1)*iim+i |
---|
| 705 | ww = 0.5 * ( w(ij,l+1) + w(ij+t_right,l+1)) |
---|
| 706 | uu = u(ij+u_right,l+1) - u(ij+u_right,l) |
---|
| 707 | du(ij+u_right, l ) = du(ij+u_right,l) - 0.5 * ww * uu / (0.5*(rhodz(ij,l)+rhodz(ij+t_right,l))) |
---|
| 708 | du(ij+u_right, l+1 ) = du(ij+u_right,l+1) - 0.5 * ww * uu / (0.5*(rhodz(ij,l+1)+rhodz(ij+t_right,l+1))) |
---|
| 709 | |
---|
| 710 | ww = 0.5 * ( w(ij,l+1) + w(ij+t_lup,l+1)) |
---|
| 711 | uu = u(ij+u_lup,l+1) - u(ij+u_lup,l) |
---|
| 712 | du(ij+u_lup, l ) = du(ij+u_lup,l) - 0.5 * ww * uu / (0.5*(rhodz(ij,l)+rhodz(ij+t_lup,l))) |
---|
| 713 | du(ij+u_lup, l+1 ) = du(ij+u_lup,l+1) - 0.5 * ww * uu / (0.5*(rhodz(ij,l+1)+rhodz(ij+t_lup,l+1))) |
---|
| 714 | |
---|
| 715 | ww = 0.5 * ( w(ij,l+1) + w(ij+t_ldown,l+1)) |
---|
| 716 | uu = u(ij+u_ldown,l+1) - u(ij+u_ldown,l) |
---|
| 717 | du(ij+u_ldown, l ) = du(ij+u_ldown,l) - 0.5 * ww * uu / (0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))) |
---|
| 718 | du(ij+u_ldown, l+1 ) = du(ij+u_ldown,l+1) - 0.5 * ww * uu / (0.5*(rhodz(ij,l+1)+rhodz(ij+t_ldown,l+1))) |
---|
| 719 | |
---|
| 720 | ENDDO |
---|
| 721 | ENDDO |
---|
| 722 | ENDDO |
---|
| 723 | |
---|
| 724 | !!$OMP BARRIER |
---|
| 725 | !!$OMP MASTER |
---|
| 726 | ! DEALLOCATE(theta) ! potential temperature |
---|
| 727 | ! DEALLOCATE(p) ! pression |
---|
| 728 | ! DEALLOCATE(pk) ! Exner function |
---|
| 729 | ! DEALLOCATE(pks) |
---|
| 730 | ! DEALLOCATE(alpha) |
---|
| 731 | ! DEALLOCATE(beta) |
---|
| 732 | ! DEALLOCATE(phi) ! geopotential |
---|
| 733 | ! DEALLOCATE(mass) ! mass |
---|
| 734 | ! DEALLOCATE(rhodz) ! mass density |
---|
| 735 | ! DEALLOCATE(Fe) ! mass flux |
---|
| 736 | ! DEALLOCATE(Ftheta) ! theta flux |
---|
| 737 | ! DEALLOCATE(convm) ! mass flux convergence |
---|
| 738 | ! DEALLOCATE(w) ! vertical velocity |
---|
| 739 | ! DEALLOCATE(qv) ! potential velocity |
---|
| 740 | ! DEALLOCATE(berni) ! bernouilli term |
---|
| 741 | !!$OMP END MASTER |
---|
| 742 | !!$OMP BARRIER |
---|
| 743 | END SUBROUTINE compute_caldyn |
---|
| 744 | |
---|
| 745 | |
---|
| 746 | |
---|
| 747 | END MODULE caldyn_gcm_mod |
---|