[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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| 25 | SUBROUTINE compute_omega(ps,u, w) |
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| 26 | USE disvert_mod, ONLY : ap,bp |
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| 27 | REAL(rstd),INTENT(IN) :: u(iim*3*jjm,llm), ps(iim*jjm) |
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| 28 | REAL(rstd),INTENT(OUT):: w(iim*jjm,llm) |
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| 29 | REAL(rstd):: convm(iim*jjm,llm+1) |
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| 30 | REAL(rstd):: p(iim*jjm,llm+1), rhodz(iim*jjm,llm), Fe(iim*3*jjm,llm) |
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| 31 | REAL(rstd):: ugradps |
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| 32 | DO l = 1, llm+1 |
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| 33 | DO j=jj_begin-1,jj_end+1 |
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| 34 | DO i=ii_begin-1,ii_end+1 |
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| 35 | ij=(j-1)*iim+i |
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| 36 | p(ij,l) = ap(l) + bp(l) * ps(ij) |
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| 37 | ENDDO |
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| 38 | ENDDO |
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| 39 | ENDDO |
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| 40 | |
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| 41 | !!! Compute mass |
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| 42 | DO l = 1, llm |
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| 43 | DO j=jj_begin-1,jj_end+1 |
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| 44 | DO i=ii_begin-1,ii_end+1 |
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| 45 | ij=(j-1)*iim+i |
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| 46 | rhodz(ij,l) = ( p(ij,l) - p(ij,l+1) ) / g |
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| 47 | ENDDO |
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| 48 | ENDDO |
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| 49 | ENDDO |
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| 50 | |
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| 51 | !!! Compute mass flux |
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| 52 | DO l = 1, llm |
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| 53 | DO j=jj_begin-1,jj_end+1 |
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| 54 | DO i=ii_begin-1,ii_end+1 |
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| 55 | ij=(j-1)*iim+i |
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| 56 | 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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| 57 | 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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| 58 | 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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| 59 | ENDDO |
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| 60 | ENDDO |
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| 61 | ENDDO |
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| 62 | |
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| 63 | !!! mass flux convergence computation |
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| 64 | |
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| 65 | ! horizontal convergence |
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| 66 | DO l = 1, llm |
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| 67 | DO j=jj_begin,jj_end |
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| 68 | DO i=ii_begin,ii_end |
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| 69 | ij=(j-1)*iim+i |
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| 70 | ! convm = +div(mass flux), sign convention as in Ringler et al. 2012, eq. 21 |
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| 71 | convm(ij,l)= 1./Ai(ij)*(ne(ij,right)*Fe(ij+u_right,l) + & |
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| 72 | ne(ij,rup)*Fe(ij+u_rup,l) + & |
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| 73 | ne(ij,lup)*Fe(ij+u_lup,l) + & |
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| 74 | ne(ij,left)*Fe(ij+u_left,l) + & |
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| 75 | ne(ij,ldown)*Fe(ij+u_ldown,l) + & |
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| 76 | ne(ij,rdown)*Fe(ij+u_rdown,l)) |
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| 77 | ENDDO |
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| 78 | ENDDO |
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| 79 | ENDDO |
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| 80 | |
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| 81 | ! vertical integration from up to down |
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| 82 | DO l = llm-1, 1, -1 |
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| 83 | DO j=jj_begin,jj_end |
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| 84 | DO i=ii_begin,ii_end |
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| 85 | ij=(j-1)*iim+i |
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| 86 | convm(ij,l) = convm(ij,l) + convm(ij,l+1) |
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| 87 | ENDDO |
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| 88 | ENDDO |
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| 89 | ENDDO |
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| 90 | convm(:,llm+1)=0. |
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| 91 | |
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| 92 | !!! Compute dps |
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| 93 | ! DO j=jj_begin,jj_end |
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| 94 | ! DO i=ii_begin,ii_end |
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| 95 | ! ij=(j-1)*iim+i |
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| 96 | ! ! dps/dt = -int(div flux)dz |
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| 97 | ! dps(ij)=-convm(ij,1) * g |
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| 98 | ! convm(ij,llm+1)=0. |
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| 99 | ! ENDDO |
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| 100 | ! ENDDO |
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| 101 | |
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| 102 | ! Compute Omega = Dp/Dt |
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| 103 | ! with p = A(eta)+B(eta)ps |
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| 104 | ! Dp/Dt = dp/deta.Deta/Dt + B(eta)Dps/Dt |
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| 105 | ! = -mg.Deta/Dt + B.Dps/Dt |
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| 106 | ! By definition the mass flux through model levels is W=m.Deta/Dt with m=-1/g dp/deta |
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| 107 | ! therefore |
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| 108 | ! Dp/Dt = -g.W + B.dps/dt + Bu.grad ps |
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| 109 | ! = B.u.grad ps - g*convm |
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| 110 | |
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| 111 | !!! Compute vertical flux through model layers |
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| 112 | ! DO l = 1,llm-1 |
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| 113 | ! DO j=jj_begin,jj_end |
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| 114 | ! DO i=ii_begin,ii_end |
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| 115 | ! ij=(j-1)*iim+i |
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| 116 | ! ! w = int(z,ztop,div(flux)dz) + B(eta)dps/dt |
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| 117 | ! ! => w>0 for upward transport |
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| 118 | ! 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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| 119 | ! ENDDO |
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| 120 | ! ENDDO |
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| 121 | ! ENDDO |
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| 122 | |
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| 123 | |
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| 124 | !!! Compute omega |
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| 125 | ! -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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| 126 | |
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| 127 | DO l = 1,llm |
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| 128 | DO j=jj_begin,jj_end |
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| 129 | DO i=ii_begin,ii_end |
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| 130 | toto = 1 |
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| 131 | ij=(j-1)*iim+i |
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| 132 | ugradps = & |
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| 133 | 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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| 134 | + 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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| 135 | + 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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| 136 | + 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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| 137 | + 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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| 138 | + 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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| 139 | 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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| 140 | w( ij, l) = ugradps - .5*(convm( ij,l+1)+convm(ij,l)) |
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| 141 | ENDDO |
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| 142 | ENDDO |
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| 143 | ENDDO |
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| 144 | |
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| 145 | END SUBROUTINE compute_omega |
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| 146 | |
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| 147 | END MODULE omega_mod |
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