[594] | 1 | subroutine turbdiff(ngrid,nlay,nq,rnat, & |
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| 2 | ptimestep,pcapcal,lecrit, & |
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| 3 | pplay,pplev,pzlay,pzlev,pz0, & |
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| 4 | pu,pv,pt,ppopsk,pq,ptsrf,pemis,pqsurf, & |
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| 5 | pdufi,pdvfi,pdtfi,pdqfi,pfluxsrf, & |
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| 6 | Pdudif,pdvdif,pdtdif,pdtsrf,sensibFlux,pq2, & |
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[728] | 7 | pdqdif,pdqevap,pdqsdif,lastcall) |
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[594] | 8 | |
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[728] | 9 | use watercommon_h, only : RLVTT, T_h2O_ice_liq, RCPD, mx_eau_sol,Psat_water |
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[1194] | 10 | use radcommon_h, only : sigma, glat |
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[787] | 11 | USE surfdat_h |
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| 12 | USE comgeomfi_h |
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| 13 | USE tracer_h |
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[594] | 14 | |
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| 15 | implicit none |
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| 16 | |
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| 17 | !================================================================== |
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| 18 | ! |
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| 19 | ! Purpose |
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| 20 | ! ------- |
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| 21 | ! Turbulent diffusion (mixing) for pot. T, U, V and tracers |
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| 22 | ! |
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| 23 | ! Implicit scheme |
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| 24 | ! We start by adding to variables x the physical tendencies |
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| 25 | ! already computed. We resolve the equation: |
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| 26 | ! |
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| 27 | ! x(t+1) = x(t) + dt * (dx/dt)phys(t) + dt * (dx/dt)difv(t+1) |
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| 28 | ! |
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| 29 | ! Authors |
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| 30 | ! ------- |
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| 31 | ! F. Hourdin, F. Forget, R. Fournier (199X) |
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| 32 | ! R. Wordsworth, B. Charnay (2010) |
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| 33 | ! J. Leconte (2012): To f90 |
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| 34 | ! - Rewritten the diffusion scheme to conserve total enthalpy |
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| 35 | ! by accounting for dissipation of turbulent kinetic energy. |
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| 36 | ! - Accounting for lost mean flow kinetic energy should come soon. |
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| 37 | ! |
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| 38 | !================================================================== |
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| 39 | |
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| 40 | !----------------------------------------------------------------------- |
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| 41 | ! declarations |
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| 42 | ! ------------ |
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| 43 | |
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| 44 | #include "dimensions.h" |
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| 45 | #include "dimphys.h" |
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| 46 | #include "comcstfi.h" |
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| 47 | #include "callkeys.h" |
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| 48 | |
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| 49 | ! arguments |
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| 50 | ! --------- |
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| 51 | INTEGER ngrid,nlay |
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| 52 | REAL ptimestep |
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| 53 | REAL pplay(ngrid,nlay),pplev(ngrid,nlay+1) |
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| 54 | REAL pzlay(ngrid,nlay),pzlev(ngrid,nlay+1) |
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| 55 | REAL pu(ngrid,nlay),pv(ngrid,nlay) |
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| 56 | REAL pt(ngrid,nlay),ppopsk(ngrid,nlay) |
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| 57 | REAL ptsrf(ngrid),pemis(ngrid) |
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| 58 | REAL pdufi(ngrid,nlay),pdvfi(ngrid,nlay) |
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| 59 | REAL pdtfi(ngrid,nlay) |
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| 60 | REAL pfluxsrf(ngrid) |
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| 61 | REAL pdudif(ngrid,nlay),pdvdif(ngrid,nlay) |
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| 62 | REAL pdtdif(ngrid,nlay) |
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| 63 | REAL pdtsrf(ngrid),sensibFlux(ngrid),pcapcal(ngrid) |
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| 64 | REAL pq2(ngrid,nlay+1) |
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| 65 | |
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| 66 | integer rnat(ngrid) |
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| 67 | |
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| 68 | ! Arguments added for condensation |
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| 69 | logical lecrit |
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| 70 | REAL pz0 |
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| 71 | |
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| 72 | ! Tracers |
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| 73 | ! -------- |
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| 74 | integer nq |
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| 75 | real pqsurf(ngrid,nq) |
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| 76 | real pq(ngrid,nlay,nq), pdqfi(ngrid,nlay,nq) |
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| 77 | real pdqdif(ngrid,nlay,nq) |
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| 78 | real pdqsdif(ngrid,nq) |
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| 79 | |
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| 80 | ! local |
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| 81 | ! ----- |
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| 82 | integer ilev,ig,ilay,nlev |
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| 83 | |
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[787] | 84 | REAL z4st,zdplanck(ngrid) |
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| 85 | REAL zkv(ngrid,nlayermx+1),zkh(ngrid,nlayermx+1) |
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| 86 | REAL zcdv(ngrid),zcdh(ngrid) |
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| 87 | REAL zcdv_true(ngrid),zcdh_true(ngrid) |
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| 88 | REAL zu(ngrid,nlayermx),zv(ngrid,nlayermx) |
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| 89 | REAL zh(ngrid,nlayermx),zt(ngrid,nlayermx) |
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| 90 | REAL ztsrf(ngrid) |
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| 91 | REAL z1(ngrid),z2(ngrid) |
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| 92 | REAL zmass(ngrid,nlayermx) |
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| 93 | REAL zfluxv(ngrid,nlayermx),zfluxt(ngrid,nlayermx),zfluxq(ngrid,nlayermx) |
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| 94 | REAL zb0(ngrid,nlayermx) |
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| 95 | REAL zExner(ngrid,nlayermx),zovExner(ngrid,nlayermx) |
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| 96 | REAL zcv(ngrid,nlayermx),zdv(ngrid,nlayermx) !inversion coefficient for winds |
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| 97 | REAL zct(ngrid,nlayermx),zdt(ngrid,nlayermx) !inversion coefficient for temperature |
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| 98 | REAL zcq(ngrid,nlayermx),zdq(ngrid,nlayermx) !inversion coefficient for tracers |
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[594] | 99 | REAL zcst1 |
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| 100 | REAL zu2!, a |
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[787] | 101 | REAL zcq0(ngrid),zdq0(ngrid) |
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| 102 | REAL zx_alf1(ngrid),zx_alf2(ngrid) |
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[594] | 103 | |
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| 104 | LOGICAL firstcall |
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| 105 | SAVE firstcall |
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| 106 | |
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| 107 | LOGICAL lastcall |
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| 108 | ! Tracers |
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| 109 | ! ------- |
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| 110 | INTEGER iq |
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[787] | 111 | REAL zq(ngrid,nlayermx,nq) |
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| 112 | REAL zqnoevap(ngrid,nlayermx) !special for water case to compute where evaporated water goes. |
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| 113 | REAL pdqevap(ngrid,nlayermx) !special for water case to compute where evaporated water goes. |
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| 114 | REAL zdmassevap(ngrid) |
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| 115 | REAL rho(ngrid) ! near-surface air density |
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| 116 | REAL qsat(ngrid),psat(ngrid) |
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[594] | 117 | DATA firstcall/.true./ |
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| 118 | REAL kmixmin |
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| 119 | |
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| 120 | ! Variables added for implicit latent heat inclusion |
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| 121 | ! -------------------------------------------------- |
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[787] | 122 | real dqsat(ngrid), qsat_temp1, qsat_temp2,psat_temp |
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[594] | 123 | |
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[728] | 124 | integer, save :: ivap, iliq, iliq_surf,iice_surf ! also make liq for clarity on surface... |
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[594] | 125 | |
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| 126 | real, parameter :: karman=0.4 |
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| 127 | real cd0, roughratio |
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| 128 | |
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| 129 | real dqsdif_total(ngrid) |
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| 130 | real zq0(ngrid) |
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| 131 | |
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| 132 | |
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| 133 | ! Coherence test |
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| 134 | ! -------------- |
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| 135 | |
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| 136 | IF (firstcall) THEN |
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| 137 | |
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| 138 | if(water)then |
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[726] | 139 | ivap=igcm_h2o_vap |
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| 140 | iliq=igcm_h2o_ice |
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| 141 | iliq_surf=igcm_h2o_vap |
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| 142 | iice_surf=igcm_h2o_ice ! simply to make the code legible |
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| 143 | ! to be generalised |
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| 144 | else |
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| 145 | ivap=0 |
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| 146 | iliq=0 |
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| 147 | iliq_surf=0 |
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| 148 | iice_surf=0 ! simply to make the code legible |
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[594] | 149 | endif |
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| 150 | sensibFlux(:)=0. |
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| 151 | |
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| 152 | firstcall=.false. |
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| 153 | ENDIF |
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| 154 | |
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| 155 | !----------------------------------------------------------------------- |
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| 156 | ! 1. Initialisation |
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| 157 | ! ----------------- |
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| 158 | |
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| 159 | nlev=nlay+1 |
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| 160 | |
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| 161 | ! Calculate rho*dz, (P/Ps)**(R/cp) and dt*rho/dz=dt*rho**2 g/dp |
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| 162 | ! with rho=p/RT=p/ (R Theta) (p/ps)**kappa |
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| 163 | ! --------------------------------------------- |
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| 164 | |
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| 165 | DO ilay=1,nlay |
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| 166 | DO ig=1,ngrid |
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[1194] | 167 | zmass(ig,ilay)=(pplev(ig,ilay)-pplev(ig,ilay+1))/glat(ig) |
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[594] | 168 | zExner(ig,ilay)=(pplev(ig,ilay)/pplev(ig,1))**rcp |
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| 169 | zovExner(ig,ilay)=1./ppopsk(ig,ilay) |
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| 170 | ENDDO |
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| 171 | ENDDO |
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| 172 | |
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| 173 | zcst1=4.*g*ptimestep/(R*R) |
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| 174 | DO ilev=2,nlev-1 |
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| 175 | DO ig=1,ngrid |
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| 176 | zb0(ig,ilev)=pplev(ig,ilev)/(pt(ig,ilev-1)+pt(ig,ilev)) |
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| 177 | zb0(ig,ilev)=zcst1*zb0(ig,ilev)*zb0(ig,ilev)/(pplay(ig,ilev-1)-pplay(ig,ilev)) |
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| 178 | ENDDO |
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| 179 | ENDDO |
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| 180 | DO ig=1,ngrid |
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| 181 | zb0(ig,1)=ptimestep*pplev(ig,1)/(R*ptsrf(ig)) |
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| 182 | ENDDO |
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| 183 | dqsdif_total(:)=0.0 |
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| 184 | |
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| 185 | !----------------------------------------------------------------------- |
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| 186 | ! 2. Add the physical tendencies computed so far |
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| 187 | ! ---------------------------------------------- |
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| 188 | |
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| 189 | DO ilev=1,nlay |
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| 190 | DO ig=1,ngrid |
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| 191 | zu(ig,ilev)=pu(ig,ilev)+pdufi(ig,ilev)*ptimestep |
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| 192 | zv(ig,ilev)=pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep |
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| 193 | zt(ig,ilev)=pt(ig,ilev)+pdtfi(ig,ilev)*ptimestep |
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| 194 | zh(ig,ilev)=pt(ig,ilev)*zovExner(ig,ilev) !for call vdif_kc, but could be moved and computed there |
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| 195 | ENDDO |
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| 196 | ENDDO |
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| 197 | if(tracer) then |
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| 198 | DO iq =1, nq |
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| 199 | DO ilev=1,nlay |
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| 200 | DO ig=1,ngrid |
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| 201 | zq(ig,ilev,iq)=pq(ig,ilev,iq) + pdqfi(ig,ilev,iq)*ptimestep |
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| 202 | ENDDO |
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| 203 | ENDDO |
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| 204 | ENDDO |
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[728] | 205 | if (water) then |
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| 206 | DO ilev=1,nlay |
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| 207 | DO ig=1,ngrid |
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| 208 | zqnoevap(ig,ilev)=pq(ig,ilev,ivap) + pdqfi(ig,ilev,ivap)*ptimestep |
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| 209 | ENDDO |
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| 210 | ENDDO |
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| 211 | Endif |
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[594] | 212 | end if |
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| 213 | |
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| 214 | !----------------------------------------------------------------------- |
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| 215 | ! 3. Turbulence scheme |
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| 216 | ! -------------------- |
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| 217 | ! |
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| 218 | ! Source of turbulent kinetic energy at the surface |
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| 219 | ! ------------------------------------------------- |
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| 220 | ! Formula is Cd_0 = (karman / log[1+z1/z0])^2 |
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| 221 | |
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| 222 | DO ig=1,ngrid |
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| 223 | roughratio = 1. + pzlay(ig,1)/pz0 |
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| 224 | cd0 = karman/log(roughratio) |
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| 225 | cd0 = cd0*cd0 |
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| 226 | zcdv_true(ig) = cd0 |
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| 227 | zcdh_true(ig) = cd0 |
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[952] | 228 | if(nosurf)then |
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| 229 | zcdv_true(ig)=0.D+0 !JL12 disable atm/surface momentum flux |
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| 230 | zcdh_true(ig)=0.D+0 !JL12 disable sensible heat flux |
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| 231 | endif |
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[594] | 232 | ENDDO |
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| 233 | |
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| 234 | DO ig=1,ngrid |
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| 235 | zu2=pu(ig,1)*pu(ig,1)+pv(ig,1)*pv(ig,1) |
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| 236 | zcdv(ig)=zcdv_true(ig)*sqrt(zu2) |
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| 237 | zcdh(ig)=zcdh_true(ig)*sqrt(zu2) |
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| 238 | ENDDO |
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| 239 | |
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| 240 | ! Turbulent diffusion coefficients in the boundary layer |
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| 241 | ! ------------------------------------------------------ |
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| 242 | |
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[787] | 243 | call vdif_kc(ngrid,ptimestep,g,pzlev,pzlay,pu,pv,zh,zcdv_true,pq2,zkv,zkh) !JL12 why not call vdif_kc with updated winds and temperature |
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[594] | 244 | |
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| 245 | ! Adding eddy mixing to mimic 3D general circulation in 1D |
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| 246 | ! R. Wordsworth & F. Forget (2010) |
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| 247 | if ((ngrid.eq.1)) then |
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| 248 | kmixmin = 1.0e-2 ! minimum eddy mix coeff in 1D |
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| 249 | do ilev=1,nlay |
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| 250 | do ig=1,ngrid |
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| 251 | zkh(ig,ilev) = max(kmixmin,zkh(ig,ilev)) |
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| 252 | zkv(ig,ilev) = max(kmixmin,zkv(ig,ilev)) |
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| 253 | end do |
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| 254 | end do |
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| 255 | end if |
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| 256 | |
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[728] | 257 | !JL12 change zkv at the surface by zcdv to calculate the surface momentum flux properly |
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[594] | 258 | DO ig=1,ngrid |
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| 259 | zkv(ig,1)=zcdv(ig) |
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| 260 | ENDDO |
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| 261 | !we treat only winds, energy and tracers coefficients will be computed with upadted winds |
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| 262 | |
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| 263 | !JL12 calculate the flux coefficients (tables multiplied elements by elements) |
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[787] | 264 | zfluxv(1:ngrid,1:nlayermx)=zkv(1:ngrid,1:nlayermx)*zb0(1:ngrid,1:nlayermx) |
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[594] | 265 | |
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| 266 | !----------------------------------------------------------------------- |
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| 267 | ! 4. Implicit inversion of u |
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| 268 | ! -------------------------- |
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| 269 | |
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| 270 | ! u(t+1) = u(t) + dt * {(du/dt)phys}(t) + dt * {(du/dt)difv}(t+1) |
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| 271 | ! avec |
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| 272 | ! /zu/ = u(t) + dt * {(du/dt)phys}(t) (voir paragraphe 2.) |
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| 273 | ! et |
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| 274 | ! dt * {(du/dt)difv}(t+1) = dt * {(d/dz)[ Ku (du/dz) ]}(t+1) |
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| 275 | ! donc les entrees sont /zcdv/ pour la condition a la limite sol |
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| 276 | ! et /zkv/ = Ku |
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| 277 | |
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| 278 | DO ig=1,ngrid |
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| 279 | z1(ig)=1./(zmass(ig,nlay)+zfluxv(ig,nlay)) |
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| 280 | zcv(ig,nlay)=zmass(ig,nlay)*zu(ig,nlay)*z1(ig) |
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| 281 | zdv(ig,nlay)=zfluxv(ig,nlay)*z1(ig) |
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| 282 | ENDDO |
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| 283 | |
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| 284 | DO ilay=nlay-1,1,-1 |
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| 285 | DO ig=1,ngrid |
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| 286 | z1(ig)=1./(zmass(ig,ilay)+zfluxv(ig,ilay) + zfluxv(ig,ilay+1)*(1.-zdv(ig,ilay+1))) |
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| 287 | zcv(ig,ilay)=(zmass(ig,ilay)*zu(ig,ilay)+zfluxv(ig,ilay+1)*zcv(ig,ilay+1))*z1(ig) |
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| 288 | zdv(ig,ilay)=zfluxv(ig,ilay)*z1(ig) |
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| 289 | ENDDO |
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| 290 | ENDDO |
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| 291 | |
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| 292 | DO ig=1,ngrid |
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| 293 | zu(ig,1)=zcv(ig,1) |
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| 294 | ENDDO |
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| 295 | DO ilay=2,nlay |
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| 296 | DO ig=1,ngrid |
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| 297 | zu(ig,ilay)=zcv(ig,ilay)+zdv(ig,ilay)*zu(ig,ilay-1) |
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| 298 | ENDDO |
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| 299 | ENDDO |
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| 300 | |
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| 301 | !----------------------------------------------------------------------- |
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| 302 | ! 5. Implicit inversion of v |
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| 303 | ! -------------------------- |
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| 304 | |
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| 305 | ! v(t+1) = v(t) + dt * {(dv/dt)phys}(t) + dt * {(dv/dt)difv}(t+1) |
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| 306 | ! avec |
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| 307 | ! /zv/ = v(t) + dt * {(dv/dt)phys}(t) (voir paragraphe 2.) |
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| 308 | ! et |
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| 309 | ! dt * {(dv/dt)difv}(t+1) = dt * {(d/dz)[ Kv (dv/dz) ]}(t+1) |
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| 310 | ! donc les entrees sont /zcdv/ pour la condition a la limite sol |
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| 311 | ! et /zkv/ = Kv |
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| 312 | |
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| 313 | DO ig=1,ngrid |
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| 314 | z1(ig)=1./(zmass(ig,nlay)+zfluxv(ig,nlay)) |
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| 315 | zcv(ig,nlay)=zmass(ig,nlay)*zv(ig,nlay)*z1(ig) |
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| 316 | zdv(ig,nlay)=zfluxv(ig,nlay)*z1(ig) |
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| 317 | ENDDO |
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| 318 | |
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| 319 | DO ilay=nlay-1,1,-1 |
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| 320 | DO ig=1,ngrid |
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| 321 | z1(ig)=1./(zmass(ig,ilay)+zfluxv(ig,ilay)+zfluxv(ig,ilay+1)*(1.-zdv(ig,ilay+1))) |
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| 322 | zcv(ig,ilay)=(zmass(ig,ilay)*zv(ig,ilay)+zfluxv(ig,ilay+1)*zcv(ig,ilay+1))*z1(ig) |
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| 323 | zdv(ig,ilay)=zfluxv(ig,ilay)*z1(ig) |
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| 324 | ENDDO |
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| 325 | ENDDO |
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| 326 | |
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| 327 | DO ig=1,ngrid |
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| 328 | zv(ig,1)=zcv(ig,1) |
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| 329 | ENDDO |
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| 330 | DO ilay=2,nlay |
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| 331 | DO ig=1,ngrid |
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| 332 | zv(ig,ilay)=zcv(ig,ilay)+zdv(ig,ilay)*zv(ig,ilay-1) |
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| 333 | ENDDO |
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| 334 | ENDDO |
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| 335 | |
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| 336 | |
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| 337 | |
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| 338 | !---------------------------------------------------------------------------- |
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| 339 | ! 6. Implicit inversion of h, not forgetting the coupling with the ground |
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| 340 | |
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| 341 | ! h(t+1) = h(t) + dt * {(dh/dt)phys}(t) + dt * {(dh/dt)difv}(t+1) |
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| 342 | ! avec |
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| 343 | ! /zh/ = h(t) + dt * {(dh/dt)phys}(t) (voir paragraphe 2.) |
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| 344 | ! et |
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| 345 | ! dt * {(dh/dt)difv}(t+1) = dt * {(d/dz)[ Kh (dh/dz) ]}(t+1) |
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| 346 | ! donc les entrees sont /zcdh/ pour la condition de raccord au sol |
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| 347 | ! et /zkh/ = Kh |
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| 348 | |
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| 349 | ! Using the wind modified by friction for lifting and sublimation |
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| 350 | ! --------------------------------------------------------------- |
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| 351 | DO ig=1,ngrid |
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| 352 | zu2 = zu(ig,1)*zu(ig,1)+zv(ig,1)*zv(ig,1) |
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| 353 | zcdv(ig) = zcdv_true(ig)*sqrt(zu2) |
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| 354 | zcdh(ig) = zcdh_true(ig)*sqrt(zu2) |
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[728] | 355 | zkh(ig,1)= zcdh(ig) |
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[594] | 356 | ENDDO |
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| 357 | |
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| 358 | ! JL12 calculate the flux coefficients (tables multiplied elements by elements) |
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| 359 | ! --------------------------------------------------------------- |
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[787] | 360 | zfluxq(1:ngrid,1:nlayermx)=zkh(1:ngrid,1:nlayermx)*zb0(1:ngrid,1:nlayermx) !JL12 we save zfluxq which doesn't need the Exner factor |
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| 361 | zfluxt(1:ngrid,1:nlayermx)=zfluxq(1:ngrid,1:nlayermx)*zExner(1:ngrid,1:nlayermx) |
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[594] | 362 | |
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| 363 | DO ig=1,ngrid |
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| 364 | z1(ig)=1./(zmass(ig,nlay)+zfluxt(ig,nlay)*zovExner(ig,nlay)) |
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| 365 | zct(ig,nlay)=zmass(ig,nlay)*zt(ig,nlay)*z1(ig) |
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| 366 | zdt(ig,nlay)=zfluxt(ig,nlay)*zovExner(ig,nlay-1)*z1(ig) |
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| 367 | ENDDO |
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| 368 | |
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| 369 | DO ilay=nlay-1,2,-1 |
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| 370 | DO ig=1,ngrid |
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| 371 | z1(ig)=1./(zmass(ig,ilay)+zfluxt(ig,ilay)*zovExner(ig,ilay)+ & |
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| 372 | zfluxt(ig,ilay+1)*(zovExner(ig,ilay)-zdt(ig,ilay+1)*zovExner(ig,ilay+1))) |
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| 373 | zct(ig,ilay)=(zmass(ig,ilay)*zt(ig,ilay)+zfluxt(ig,ilay+1)*zct(ig,ilay+1)*zovExner(ig,ilay+1))*z1(ig) |
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| 374 | zdt(ig,ilay)=zfluxt(ig,ilay)*z1(ig)*zovExner(ig,ilay-1) |
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| 375 | ENDDO |
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| 376 | ENDDO |
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| 377 | |
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| 378 | !JL12 we treat last point afterward because zovExner(ig,ilay-1) does not exist there |
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| 379 | DO ig=1,ngrid |
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| 380 | z1(ig)=1./(zmass(ig,1)+zfluxt(ig,1)*zovExner(ig,1)+ & |
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| 381 | zfluxt(ig,2)*(zovExner(ig,1)-zdt(ig,2)*zovExner(ig,2))) |
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| 382 | zct(ig,1)=(zmass(ig,1)*zt(ig,1)+zfluxt(ig,2)*zct(ig,2)*zovExner(ig,2))*z1(ig) |
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| 383 | zdt(ig,1)=zfluxt(ig,1)*z1(ig) |
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| 384 | ENDDO |
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| 385 | |
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| 386 | |
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| 387 | ! Calculate (d Planck / dT) at the interface temperature |
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| 388 | ! ------------------------------------------------------ |
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| 389 | |
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| 390 | z4st=4.0*sigma*ptimestep |
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| 391 | DO ig=1,ngrid |
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| 392 | zdplanck(ig)=z4st*pemis(ig)*ptsrf(ig)*ptsrf(ig)*ptsrf(ig) |
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| 393 | ENDDO |
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| 394 | |
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| 395 | ! Calculate temperature tendency at the interface (dry case) |
---|
| 396 | ! ---------------------------------------------------------- |
---|
| 397 | ! Sum of fluxes at interface at time t + \delta t gives change in T: |
---|
| 398 | ! radiative fluxes |
---|
| 399 | ! turbulent convective (sensible) heat flux |
---|
| 400 | ! flux (if any) from subsurface |
---|
| 401 | |
---|
| 402 | if(.not.water) then |
---|
| 403 | |
---|
| 404 | DO ig=1,ngrid |
---|
| 405 | z1(ig)=pcapcal(ig)*ptsrf(ig)+cpp*zfluxt(ig,1)*zct(ig,1)*zovExner(ig,1) & |
---|
| 406 | + pfluxsrf(ig)*ptimestep + zdplanck(ig)*ptsrf(ig) |
---|
| 407 | z2(ig) = pcapcal(ig)+zdplanck(ig)+cpp*zfluxt(ig,1)*(1.-zovExner(ig,1)*zdt(ig,1)) |
---|
| 408 | ztsrf(ig) = z1(ig) / z2(ig) |
---|
| 409 | pdtsrf(ig) = (ztsrf(ig) - ptsrf(ig))/ptimestep |
---|
| 410 | zt(ig,1) = zct(ig,1) + zdt(ig,1)*ztsrf(ig) |
---|
| 411 | ENDDO |
---|
| 412 | ! JL12 note that the black body radiative flux emitted by the surface has been updated by the implicit scheme |
---|
| 413 | |
---|
| 414 | |
---|
| 415 | ! Recalculate temperature to top of atmosphere, starting from ground |
---|
| 416 | ! ------------------------------------------------------------------ |
---|
| 417 | |
---|
| 418 | DO ilay=2,nlay |
---|
| 419 | DO ig=1,ngrid |
---|
| 420 | zt(ig,ilay)=zct(ig,ilay)+zdt(ig,ilay)*zt(ig,ilay-1) |
---|
| 421 | ENDDO |
---|
| 422 | ENDDO |
---|
| 423 | |
---|
| 424 | endif ! not water |
---|
| 425 | |
---|
| 426 | !----------------------------------------------------------------------- |
---|
| 427 | ! TRACERS (no vapour) |
---|
| 428 | ! ------- |
---|
| 429 | |
---|
| 430 | if(tracer) then |
---|
| 431 | |
---|
| 432 | ! Calculate vertical flux from the bottom to the first layer (dust) |
---|
| 433 | ! ----------------------------------------------------------------- |
---|
[787] | 434 | do ig=1,ngrid |
---|
[594] | 435 | rho(ig) = zb0(ig,1) /ptimestep |
---|
| 436 | end do |
---|
| 437 | |
---|
| 438 | pdqsdif(:,:)=0. |
---|
| 439 | |
---|
| 440 | ! Implicit inversion of q |
---|
| 441 | ! ----------------------- |
---|
| 442 | do iq=1,nq |
---|
| 443 | |
---|
| 444 | if (iq.ne.ivap) then |
---|
| 445 | |
---|
| 446 | DO ig=1,ngrid |
---|
| 447 | z1(ig)=1./(zmass(ig,nlay)+zfluxq(ig,nlay)) |
---|
| 448 | zcq(ig,nlay)=zmass(ig,nlay)*zq(ig,nlay,iq)*z1(ig) |
---|
| 449 | zdq(ig,nlay)=zfluxq(ig,nlay)*z1(ig) |
---|
| 450 | ENDDO |
---|
| 451 | |
---|
| 452 | DO ilay=nlay-1,2,-1 |
---|
| 453 | DO ig=1,ngrid |
---|
| 454 | z1(ig)=1./(zmass(ig,ilay)+zfluxq(ig,ilay)+zfluxq(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
---|
| 455 | zcq(ig,ilay)=(zmass(ig,ilay)*zq(ig,ilay,iq)+zfluxq(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
---|
| 456 | zdq(ig,ilay)=zfluxq(ig,ilay)*z1(ig) |
---|
| 457 | ENDDO |
---|
| 458 | ENDDO |
---|
| 459 | |
---|
| 460 | if ((water).and.(iq.eq.iliq)) then |
---|
| 461 | ! special case for condensed water tracer: do not include |
---|
| 462 | ! h2o ice tracer from surface (which is set when handling |
---|
| 463 | ! h2o vapour case (see further down). |
---|
| 464 | ! zb(ig,1)=0 if iq ne ivap |
---|
| 465 | DO ig=1,ngrid |
---|
| 466 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
---|
| 467 | zcq(ig,1)=(zmass(ig,1)*zq(ig,1,iq)+zfluxq(ig,2)*zcq(ig,2))*z1(ig) |
---|
| 468 | ENDDO |
---|
| 469 | else ! general case |
---|
[787] | 470 | do ig=1,ngrid |
---|
[594] | 471 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
---|
| 472 | zcq(ig,1)=(zmass(ig,1)*zq(ig,1,iq)+zfluxq(ig,2)*zcq(ig,2)+(-pdqsdif(ig,iq))*ptimestep)*z1(ig) |
---|
| 473 | ! tracer flux from surface |
---|
| 474 | ! currently pdqsdif always zero here, |
---|
| 475 | ! so last line is superfluous |
---|
| 476 | enddo |
---|
| 477 | endif ! of if (water.and.(iq.eq.igcm_h2o_ice)) |
---|
| 478 | |
---|
| 479 | |
---|
| 480 | ! Starting upward calculations for simple tracer mixing (e.g., dust) |
---|
| 481 | do ig=1,ngrid |
---|
| 482 | zq(ig,1,iq)=zcq(ig,1) |
---|
| 483 | end do |
---|
| 484 | |
---|
| 485 | do ilay=2,nlay |
---|
| 486 | do ig=1,ngrid |
---|
| 487 | zq(ig,ilay,iq)=zcq(ig,ilay)+zdq(ig,ilay)*zq(ig,ilay-1,iq) |
---|
| 488 | end do |
---|
| 489 | end do |
---|
| 490 | |
---|
| 491 | endif ! if (iq.ne.ivap) |
---|
| 492 | |
---|
| 493 | ! Calculate temperature tendency including latent heat term |
---|
| 494 | ! and assuming an infinite source of water on the ground |
---|
| 495 | ! ------------------------------------------------------------------ |
---|
| 496 | |
---|
| 497 | if (water.and.(iq.eq.ivap)) then |
---|
| 498 | |
---|
| 499 | ! compute evaporation efficiency |
---|
[787] | 500 | do ig=1,ngrid |
---|
[594] | 501 | if(rnat(ig).eq.1)then |
---|
| 502 | dryness(ig)=pqsurf(ig,iliq_surf)+pqsurf(ig,iice_surf) |
---|
| 503 | dryness(ig)=MIN(1.,2*dryness(ig)/mx_eau_sol) |
---|
| 504 | dryness(ig)=MAX(0.,dryness(ig)) |
---|
| 505 | endif |
---|
| 506 | enddo |
---|
| 507 | |
---|
| 508 | do ig=1,ngrid |
---|
| 509 | ! Calculate the value of qsat at the surface (water) |
---|
[728] | 510 | call Psat_water(ptsrf(ig),pplev(ig,1),psat(ig),qsat(ig)) |
---|
| 511 | call Psat_water(ptsrf(ig)-0.0001,pplev(ig,1),psat_temp,qsat_temp1) |
---|
| 512 | call Psat_water(ptsrf(ig)+0.0001,pplev(ig,1),psat_temp,qsat_temp2) |
---|
[594] | 513 | dqsat(ig)=(qsat_temp2-qsat_temp1)/0.0002 |
---|
| 514 | ! calculate dQsat / dT by finite differences |
---|
| 515 | ! we cannot use the updated temperature value yet... |
---|
[732] | 516 | enddo |
---|
[594] | 517 | |
---|
| 518 | ! coefficients for q |
---|
| 519 | |
---|
| 520 | do ig=1,ngrid |
---|
| 521 | z1(ig)=1./(zmass(ig,nlay)+zfluxq(ig,nlay)) |
---|
| 522 | zcq(ig,nlay)=zmass(ig,nlay)*zq(ig,nlay,iq)*z1(ig) |
---|
| 523 | zdq(ig,nlay)=zfluxq(ig,nlay)*z1(ig) |
---|
| 524 | enddo |
---|
[787] | 525 | |
---|
[594] | 526 | do ilay=nlay-1,2,-1 |
---|
| 527 | do ig=1,ngrid |
---|
| 528 | z1(ig)=1./(zmass(ig,ilay)+zfluxq(ig,ilay)+zfluxq(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
---|
| 529 | zcq(ig,ilay)=(zmass(ig,ilay)*zq(ig,ilay,iq)+zfluxq(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
---|
| 530 | zdq(ig,ilay)=zfluxq(ig,ilay)*z1(ig) |
---|
| 531 | enddo |
---|
| 532 | enddo |
---|
| 533 | |
---|
| 534 | do ig=1,ngrid |
---|
| 535 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,1)*dryness(ig)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
---|
| 536 | zcq(ig,1)=(zmass(ig,1)*zq(ig,1,iq)+zfluxq(ig,2)*zcq(ig,2))*z1(ig) |
---|
| 537 | zdq(ig,1)=dryness(ig)*zfluxq(ig,1)*z1(ig) |
---|
| 538 | enddo |
---|
| 539 | |
---|
| 540 | do ig=1,ngrid |
---|
| 541 | !calculation of surface temperature |
---|
| 542 | zdq0(ig) = dqsat(ig) |
---|
| 543 | zcq0(ig) = qsat(ig)-dqsat(ig)*ptsrf(ig) |
---|
| 544 | |
---|
[1016] | 545 | z1(ig) = pcapcal(ig)*ptsrf(ig) +cpp*zfluxt(ig,1)*zct(ig,1)*zovExner(ig,1) & |
---|
[594] | 546 | + zdplanck(ig)*ptsrf(ig) + pfluxsrf(ig)*ptimestep & |
---|
| 547 | + zfluxq(ig,1)*dryness(ig)*RLVTT*((zdq(ig,1)-1.0)*zcq0(ig)+zcq(ig,1)) |
---|
| 548 | |
---|
[1016] | 549 | z2(ig) = pcapcal(ig) + cpp*zfluxt(ig,1)*(1.-zovExner(ig,1)*zdt(ig,1)) & |
---|
[594] | 550 | + zdplanck(ig)+zfluxq(ig,1)*dryness(ig)*RLVTT*zdq0(ig)*(1.0-zdq(ig,1)) |
---|
| 551 | |
---|
| 552 | ztsrf(ig) = z1(ig) / z2(ig) |
---|
| 553 | |
---|
| 554 | ! calculation of qs and q1 |
---|
| 555 | zq0(ig) = zcq0(ig)+zdq0(ig)*ztsrf(ig) |
---|
| 556 | zq(ig,1,iq) = zcq(ig,1)+zdq(ig,1)*zq0(ig) |
---|
| 557 | |
---|
| 558 | ! calculation of evaporation |
---|
| 559 | dqsdif_total(ig)=zfluxq(ig,1)*dryness(ig)*(zq(ig,1,ivap)-zq0(ig)) |
---|
| 560 | |
---|
| 561 | ! -------------------------------------------------------- |
---|
| 562 | ! Now check if we've taken too much water from the surface |
---|
| 563 | ! This can only occur on the continent |
---|
| 564 | ! If we do, we recompute Tsurf, T1 and q1 accordingly |
---|
| 565 | if((-dqsdif_total(ig).gt.(pqsurf(ig,iice_surf)+pqsurf(ig,iliq_surf))).and.rnat(ig).eq.1)then |
---|
| 566 | !water flux * ptimestep |
---|
| 567 | dqsdif_total(ig)=-(pqsurf(ig,iice_surf)+pqsurf(ig,iliq_surf)) |
---|
| 568 | |
---|
| 569 | !recompute surface temperature |
---|
| 570 | z1(ig) = pcapcal(ig)*ptsrf(ig) +cpp*zfluxq(ig,1)*zct(ig,1)*zovExner(ig,1) & |
---|
| 571 | + zdplanck(ig)*ptsrf(ig) + pfluxsrf(ig)*ptimestep & |
---|
| 572 | + RLVTT*dqsdif_total(ig) |
---|
| 573 | z2(ig) = pcapcal(ig) + cpp*zfluxq(ig,1)*(1.-zovExner(ig,1)*zdt(ig,1)) & |
---|
| 574 | + zdplanck(ig) |
---|
| 575 | ztsrf(ig) = z1(ig) / z2(ig) |
---|
| 576 | |
---|
| 577 | !recompute q1 with new water flux from surface |
---|
| 578 | zq(ig,1,iq) = (zmass(ig,1)*(pq(ig,1,iq)+ptimestep*pdqfi(ig,1,iq)) & |
---|
[736] | 579 | +zfluxq(ig,2)*zcq(ig,2)-dqsdif_total(ig)) & |
---|
[594] | 580 | / (zmass(ig,1)+(1.-zdq(ig,2))*zfluxq(ig,2)) |
---|
| 581 | end if |
---|
| 582 | |
---|
| 583 | ! calculation surface T tendency and T(1) |
---|
| 584 | pdtsrf(ig) = (ztsrf(ig) - ptsrf(ig))/ptimestep |
---|
| 585 | zt(ig,1) = zct(ig,1) + zdt(ig,1)*ztsrf(ig) |
---|
| 586 | enddo |
---|
| 587 | |
---|
| 588 | |
---|
| 589 | ! recalculate temperature and q(vap) to top of atmosphere, starting from ground |
---|
| 590 | do ilay=2,nlay |
---|
| 591 | do ig=1,ngrid |
---|
| 592 | zq(ig,ilay,iq)=zcq(ig,ilay)+zdq(ig,ilay)*zq(ig,ilay-1,iq) |
---|
| 593 | zt(ig,ilay)=zct(ig,ilay)+zdt(ig,ilay)*zt(ig,ilay-1) |
---|
| 594 | end do |
---|
| 595 | end do |
---|
| 596 | |
---|
| 597 | |
---|
| 598 | do ig=1,ngrid |
---|
| 599 | ! -------------------------------------------------------------------------- |
---|
| 600 | ! On the ocean, if T > 0 C then the vapour tendency must replace the ice one |
---|
| 601 | ! The surface vapour tracer is actually liquid. To make things difficult. |
---|
| 602 | |
---|
| 603 | if (rnat(ig).eq.0) then ! unfrozen ocean |
---|
| 604 | |
---|
| 605 | pdqsdif(ig,iliq_surf)=dqsdif_total(ig)/ptimestep |
---|
| 606 | pdqsdif(ig,iice_surf)=0.0 |
---|
| 607 | |
---|
| 608 | elseif (rnat(ig).eq.1) then ! (continent) |
---|
| 609 | ! If water is evaporating / subliming, we take it from ice before liquid |
---|
| 610 | ! -- is this valid?? |
---|
| 611 | if(dqsdif_total(ig).lt.0)then |
---|
| 612 | if (-dqsdif_total(ig).gt.pqsurf(ig,iice_surf))then |
---|
| 613 | pdqsdif(ig,iice_surf) = -pqsurf(ig,iice_surf)/ptimestep ! removes all the ice! |
---|
| 614 | pdqsdif(ig,iliq_surf) = dqsdif_total(ig)/ptimestep- pdqsdif(ig,iice_surf) ! take the remainder from the liquid instead |
---|
| 615 | else |
---|
| 616 | pdqsdif(ig,iice_surf)=dqsdif_total(ig)/ptimestep |
---|
| 617 | pdqsdif(ig,iliq_surf)=0. |
---|
| 618 | end if |
---|
| 619 | else !dqsdif_total(ig).ge.0 |
---|
| 620 | !If water vapour is condensing, we must decide whether it forms ice or liquid. |
---|
[650] | 621 | if(ztsrf(ig).gt.T_h2O_ice_liq)then |
---|
[594] | 622 | pdqsdif(ig,iice_surf)=0.0 |
---|
| 623 | pdqsdif(ig,iliq_surf)=dqsdif_total(ig)/ptimestep |
---|
| 624 | else |
---|
| 625 | pdqsdif(ig,iice_surf)=dqsdif_total(ig)/ptimestep |
---|
| 626 | pdqsdif(ig,iliq_surf)=0.0 |
---|
| 627 | endif |
---|
| 628 | endif |
---|
| 629 | |
---|
| 630 | elseif (rnat(ig).eq.2) then ! (continental glaciers) |
---|
| 631 | pdqsdif(ig,iliq_surf)=0.0 |
---|
| 632 | pdqsdif(ig,iice_surf)=dqsdif_total(ig)/ptimestep |
---|
| 633 | |
---|
| 634 | endif !rnat |
---|
| 635 | end do ! of DO ig=1,ngrid |
---|
| 636 | |
---|
| 637 | endif ! if (water et iq=ivap) |
---|
| 638 | end do ! of do iq=1,nq |
---|
| 639 | |
---|
[728] | 640 | if (water) then ! special case where we recompute water mixing without any evaporation. |
---|
| 641 | ! The difference with the first calculation then tells us where evaporated water has gone |
---|
[594] | 642 | |
---|
[728] | 643 | DO ig=1,ngrid |
---|
| 644 | z1(ig)=1./(zmass(ig,nlay)+zfluxq(ig,nlay)) |
---|
| 645 | zcq(ig,nlay)=zmass(ig,nlay)*zqnoevap(ig,nlay)*z1(ig) |
---|
| 646 | zdq(ig,nlay)=zfluxq(ig,nlay)*z1(ig) |
---|
| 647 | ENDDO |
---|
| 648 | |
---|
| 649 | DO ilay=nlay-1,2,-1 |
---|
| 650 | DO ig=1,ngrid |
---|
| 651 | z1(ig)=1./(zmass(ig,ilay)+zfluxq(ig,ilay)+zfluxq(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
---|
| 652 | zcq(ig,ilay)=(zmass(ig,ilay)*zqnoevap(ig,ilay)+zfluxq(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
---|
| 653 | zdq(ig,ilay)=zfluxq(ig,ilay)*z1(ig) |
---|
| 654 | ENDDO |
---|
| 655 | ENDDO |
---|
| 656 | |
---|
[787] | 657 | do ig=1,ngrid |
---|
[728] | 658 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
---|
| 659 | zcq(ig,1)=(zmass(ig,1)*zqnoevap(ig,1)+zfluxq(ig,2)*zcq(ig,2))*z1(ig) |
---|
| 660 | enddo |
---|
| 661 | |
---|
| 662 | ! Starting upward calculations for simple tracer mixing (e.g., dust) |
---|
| 663 | do ig=1,ngrid |
---|
| 664 | zqnoevap(ig,1)=zcq(ig,1) |
---|
| 665 | end do |
---|
| 666 | |
---|
| 667 | do ilay=2,nlay |
---|
| 668 | do ig=1,ngrid |
---|
| 669 | zqnoevap(ig,ilay)=zcq(ig,ilay)+zdq(ig,ilay)*zqnoevap(ig,ilay-1) |
---|
| 670 | end do |
---|
| 671 | end do |
---|
| 672 | |
---|
| 673 | endif ! if water |
---|
| 674 | |
---|
| 675 | |
---|
| 676 | endif ! tracer |
---|
| 677 | |
---|
| 678 | |
---|
[594] | 679 | !----------------------------------------------------------------------- |
---|
| 680 | ! 8. Final calculation of the vertical diffusion tendencies |
---|
| 681 | ! ----------------------------------------------------------------- |
---|
| 682 | |
---|
| 683 | do ilev = 1, nlay |
---|
| 684 | do ig=1,ngrid |
---|
| 685 | pdudif(ig,ilev)=(zu(ig,ilev)-(pu(ig,ilev)+pdufi(ig,ilev)*ptimestep))/ptimestep |
---|
| 686 | pdvdif(ig,ilev)=(zv(ig,ilev)-(pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep))/ptimestep |
---|
| 687 | pdtdif(ig,ilev)=( zt(ig,ilev)- pt(ig,ilev))/ptimestep-pdtfi(ig,ilev) |
---|
| 688 | enddo |
---|
| 689 | enddo |
---|
| 690 | |
---|
[787] | 691 | DO ig=1,ngrid ! computing sensible heat flux (atm => surface) |
---|
[594] | 692 | sensibFlux(ig)=cpp*zfluxt(ig,1)/ptimestep*(zt(ig,1)*zovExner(ig,1)-ztsrf(ig)) |
---|
| 693 | ENDDO |
---|
| 694 | |
---|
| 695 | if (tracer) then |
---|
| 696 | do iq = 1, nq |
---|
| 697 | do ilev = 1, nlay |
---|
| 698 | do ig=1,ngrid |
---|
| 699 | pdqdif(ig,ilev,iq)=(zq(ig,ilev,iq)-(pq(ig,ilev,iq)+pdqfi(ig,ilev,iq)*ptimestep))/ptimestep |
---|
| 700 | enddo |
---|
| 701 | enddo |
---|
| 702 | enddo |
---|
[728] | 703 | if (water) then |
---|
| 704 | do ilev = 1, nlay |
---|
| 705 | do ig=1,ngrid |
---|
| 706 | pdqevap(ig,ilev)=(zq(ig,ilev,ivap)-zqnoevap(ig,ilev))/ptimestep |
---|
| 707 | enddo |
---|
| 708 | enddo |
---|
[787] | 709 | do ig=1,ngrid |
---|
[728] | 710 | zdmassevap(ig)=SUM(pdqevap(ig,:)*zmass(ig,:))*ptimestep |
---|
| 711 | end do |
---|
| 712 | endif |
---|
[594] | 713 | endif |
---|
| 714 | |
---|
| 715 | if(water)then |
---|
[728] | 716 | call writediagfi(ngrid,'beta','Dryness coefficient',' ',2,dryness) |
---|
| 717 | if (tracer) then |
---|
| 718 | call writediagfi(ngrid,'dqevap','evaporated water vapor specific concentration','s-1',3,pdqevap) |
---|
| 719 | endif |
---|
[594] | 720 | endif |
---|
| 721 | |
---|
| 722 | ! if(lastcall)then |
---|
| 723 | ! if(ngrid.eq.1)then |
---|
| 724 | ! print*,'Saving k.out...' |
---|
| 725 | ! OPEN(12,file='k.out',form='formatted') |
---|
| 726 | ! DO ilay=1,nlay |
---|
| 727 | ! write(12,*) zkh(1,ilay), pplay(1,ilay) |
---|
| 728 | ! ENDDO |
---|
| 729 | ! CLOSE(12) |
---|
| 730 | ! endif |
---|
| 731 | ! endif |
---|
| 732 | |
---|
| 733 | |
---|
| 734 | return |
---|
| 735 | end |
---|