[96] | 1 | MODULE omega_mod |
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| 2 | |
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| 3 | USE icosa |
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| 4 | PRIVATE |
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| 5 | |
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| 6 | PUBLIC :: w_omega, compute_omega |
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| 7 | |
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| 8 | CONTAINS |
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| 9 | |
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| 10 | SUBROUTINE w_omega(f_ps, f_u, f_omega) ! Compute omega = Dp/Dt |
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| 11 | TYPE(t_field),POINTER :: f_ps(:), f_u(:), f_omega(:) |
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| 12 | INTEGER :: ind |
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| 13 | REAL(rstd),POINTER :: ps(:), u(:,:), om(:,:) |
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| 14 | DO ind=1,ndomain |
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[186] | 15 | IF (.NOT. assigned_domain(ind)) CYCLE |
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[96] | 16 | CALL swap_dimensions(ind) |
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| 17 | CALL swap_geometry(ind) |
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| 18 | ps=f_ps(ind) |
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| 19 | u=f_u(ind) |
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| 20 | om=f_omega(ind) |
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| 21 | CALL compute_omega(ps,u,om) |
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| 22 | END DO |
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| 23 | END SUBROUTINE W_omega |
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| 24 | |
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[295] | 25 | |
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| 26 | |
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[96] | 27 | SUBROUTINE compute_omega(ps,u, w) |
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| 28 | USE disvert_mod, ONLY : ap,bp |
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[295] | 29 | USE omp_para |
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| 30 | IMPLICIT NONE |
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[96] | 31 | REAL(rstd),INTENT(IN) :: u(iim*3*jjm,llm), ps(iim*jjm) |
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| 32 | REAL(rstd),INTENT(OUT):: w(iim*jjm,llm) |
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| 33 | REAL(rstd):: convm(iim*jjm,llm+1) |
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| 34 | REAL(rstd):: p(iim*jjm,llm+1), rhodz(iim*jjm,llm), Fe(iim*3*jjm,llm) |
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| 35 | REAL(rstd):: ugradps |
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| 36 | |
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[295] | 37 | INTEGER :: i,j,l,ij |
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| 38 | |
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| 39 | !$OMP BARRIER |
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| 40 | IF (is_omp_level_master) THEN |
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| 41 | DO l = 1, llm+1 |
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| 42 | DO j=jj_begin-1,jj_end+1 |
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| 43 | DO i=ii_begin-1,ii_end+1 |
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| 44 | ij=(j-1)*iim+i |
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| 45 | p(ij,l) = ap(l) + bp(l) * ps(ij) |
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| 46 | ENDDO |
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| 47 | ENDDO |
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| 48 | ENDDO |
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| 49 | |
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[96] | 50 | !!! Compute mass |
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[295] | 51 | DO l = 1, llm |
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| 52 | DO j=jj_begin-1,jj_end+1 |
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| 53 | DO i=ii_begin-1,ii_end+1 |
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| 54 | ij=(j-1)*iim+i |
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| 55 | rhodz(ij,l) = ( p(ij,l) - p(ij,l+1) ) / g |
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| 56 | ENDDO |
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| 57 | ENDDO |
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| 58 | ENDDO |
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[96] | 59 | |
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| 60 | !!! Compute mass flux |
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[295] | 61 | DO l = 1, llm |
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| 62 | DO j=jj_begin-1,jj_end+1 |
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| 63 | DO i=ii_begin-1,ii_end+1 |
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| 64 | ij=(j-1)*iim+i |
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| 65 | 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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| 66 | 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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| 67 | Fe(ij+u_ldown,l)=0.5*(rhodz(ij,l)+rhodz(ij+t_ldown,l))*u(ij+u_ldown,l)*le(ij+u_ldown) |
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| 68 | ENDDO |
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| 69 | ENDDO |
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| 70 | ENDDO |
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[96] | 71 | |
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| 72 | !!! mass flux convergence computation |
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| 73 | |
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| 74 | ! horizontal convergence |
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[295] | 75 | DO l = 1, llm |
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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 | ! convm = +div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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| 80 | convm(ij,l)= 1./Ai(ij)*(ne(ij,right)*Fe(ij+u_right,l) + & |
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| 81 | ne(ij,rup)*Fe(ij+u_rup,l) + & |
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| 82 | ne(ij,lup)*Fe(ij+u_lup,l) + & |
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| 83 | ne(ij,left)*Fe(ij+u_left,l) + & |
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| 84 | ne(ij,ldown)*Fe(ij+u_ldown,l) + & |
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| 85 | ne(ij,rdown)*Fe(ij+u_rdown,l)) |
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| 86 | ENDDO |
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| 87 | ENDDO |
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| 88 | ENDDO |
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[96] | 89 | |
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[295] | 90 | ! vertical integration from up to down |
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| 91 | DO l = llm-1, 1, -1 |
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| 92 | DO j=jj_begin,jj_end |
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| 93 | DO i=ii_begin,ii_end |
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| 94 | ij=(j-1)*iim+i |
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| 95 | convm(ij,l) = convm(ij,l) + convm(ij,l+1) |
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| 96 | ENDDO |
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| 97 | ENDDO |
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| 98 | ENDDO |
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| 99 | convm(:,llm+1)=0. |
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[96] | 100 | |
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| 101 | !!! Compute dps |
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| 102 | ! DO j=jj_begin,jj_end |
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| 103 | ! DO i=ii_begin,ii_end |
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| 104 | ! ij=(j-1)*iim+i |
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| 105 | ! ! dps/dt = -int(div flux)dz |
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| 106 | ! dps(ij)=-convm(ij,1) * g |
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| 107 | ! convm(ij,llm+1)=0. |
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| 108 | ! ENDDO |
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| 109 | ! ENDDO |
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| 110 | |
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| 111 | ! Compute Omega = Dp/Dt |
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| 112 | ! with p = A(eta)+B(eta)ps |
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| 113 | ! Dp/Dt = dp/deta.Deta/Dt + B(eta)Dps/Dt |
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| 114 | ! = -mg.Deta/Dt + B.Dps/Dt |
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| 115 | ! By definition the mass flux through model levels is W=m.Deta/Dt with m=-1/g dp/deta |
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| 116 | ! therefore |
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| 117 | ! Dp/Dt = -g.W + B.dps/dt + Bu.grad ps |
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| 118 | ! = B.u.grad ps - g*convm |
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| 119 | |
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| 120 | !!! Compute vertical flux through model layers |
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| 121 | ! DO l = 1,llm-1 |
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| 122 | ! DO j=jj_begin,jj_end |
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| 123 | ! DO i=ii_begin,ii_end |
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| 124 | ! ij=(j-1)*iim+i |
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| 125 | ! ! w = int(z,ztop,div(flux)dz) + B(eta)dps/dt |
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| 126 | ! ! => w>0 for upward transport |
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| 127 | ! w( ij, l+1 ) = convm( ij, l+1 ) - bp(l+1) * convm( ij, 1 ) ! g.W = g.convm + B dps/dt |
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| 128 | ! ENDDO |
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| 129 | ! ENDDO |
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| 130 | ! ENDDO |
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| 131 | |
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| 132 | |
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| 133 | !!! Compute omega |
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| 134 | ! -grad ps : ( ne(ij,ldown)*ps(ij,l) + ne(ij+t_ldown,rup)*ps(ij+t_ldown,l) ) ) / de(ij+u_ldown) |
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| 135 | |
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[295] | 136 | DO l = 1,llm |
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| 137 | DO j=jj_begin,jj_end |
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| 138 | DO i=ii_begin,ii_end |
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[96] | 139 | ij=(j-1)*iim+i |
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| 140 | ugradps = & |
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| 141 | le(ij+u_right)*u(ij+u_right,l)*( ne(ij,right)*ps(ij) + ne(ij+t_right,left)*ps(ij+t_right) ) & |
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| 142 | + le(ij+u_rup)*u(ij+u_rup,l)*( ne(ij,rup)*ps(ij) + ne(ij+t_rup,ldown)*ps(ij+t_rup) ) & |
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| 143 | + le(ij+u_lup)*u(ij+u_lup,l)*( ne(ij,lup)*ps(ij) + ne(ij+t_lup,rdown)*ps(ij+t_lup) ) & |
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| 144 | + le(ij+u_left)*u(ij+u_left,l)*( ne(ij,left)*ps(ij) + ne(ij+t_left,right)*ps(ij+t_left) ) & |
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| 145 | + le(ij+u_ldown)*u(ij+u_ldown,l)*( ne(ij,ldown)*ps(ij) + ne(ij+t_ldown,rup)*ps(ij+t_ldown) ) & |
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| 146 | + le(ij+u_rdown)*u(ij+u_rdown,l)*( ne(ij,rdown)*ps(ij) + ne(ij+t_rdown,lup)*ps(ij+t_rdown) ) |
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| 147 | ugradps = .5*(bp(l)+bp(l+1)) *ugradps/(-4*Ai(ij)) ! sign convention as in Ringler et al. 2010, Eq. 22 p.3072 |
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[417] | 148 | w( ij, l) = ugradps - g*.5*(convm( ij,l+1)+convm(ij,l)) |
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[96] | 149 | ENDDO |
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[295] | 150 | ENDDO |
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| 151 | ENDDO |
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| 152 | ENDIF |
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| 153 | !$OMP BARRIER |
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[96] | 154 | |
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| 155 | END SUBROUTINE compute_omega |
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| 156 | |
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| 157 | END MODULE omega_mod |
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