| 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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| 7 | pdqdif,pdqevap,pdqsdif,lastcall) |
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| 8 | |
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| 9 | use watercommon_h, only : RLVTT, T_h2O_ice_liq, RCPD, mx_eau_sol,Psat_water |
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| 10 | use radcommon_h, only : sigma |
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| 11 | |
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| 12 | implicit none |
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| 13 | |
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| 14 | !================================================================== |
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| 15 | ! |
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| 16 | ! Purpose |
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| 17 | ! ------- |
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| 18 | ! Turbulent diffusion (mixing) for pot. T, U, V and tracers |
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| 19 | ! |
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| 20 | ! Implicit scheme |
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| 21 | ! We start by adding to variables x the physical tendencies |
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| 22 | ! already computed. We resolve the equation: |
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| 23 | ! |
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| 24 | ! x(t+1) = x(t) + dt * (dx/dt)phys(t) + dt * (dx/dt)difv(t+1) |
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| 25 | ! |
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| 26 | ! Authors |
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| 27 | ! ------- |
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| 28 | ! F. Hourdin, F. Forget, R. Fournier (199X) |
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| 29 | ! R. Wordsworth, B. Charnay (2010) |
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| 30 | ! J. Leconte (2012): To f90 |
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| 31 | ! - Rewritten the diffusion scheme to conserve total enthalpy |
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| 32 | ! by accounting for dissipation of turbulent kinetic energy. |
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| 33 | ! - Accounting for lost mean flow kinetic energy should come soon. |
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| 34 | ! |
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| 35 | !================================================================== |
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| 36 | |
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| 37 | !----------------------------------------------------------------------- |
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| 38 | ! declarations |
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| 39 | ! ------------ |
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| 40 | |
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| 41 | #include "dimensions.h" |
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| 42 | #include "dimphys.h" |
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| 43 | #include "comcstfi.h" |
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| 44 | #include "callkeys.h" |
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| 45 | #include "surfdat.h" |
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| 46 | #include "comgeomfi.h" |
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| 47 | #include "tracer.h" |
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| 48 | |
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| 49 | #include "watercap.h" |
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| 50 | |
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| 51 | ! arguments |
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| 52 | ! --------- |
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| 53 | INTEGER ngrid,nlay |
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| 54 | REAL ptimestep |
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| 55 | REAL pplay(ngrid,nlay),pplev(ngrid,nlay+1) |
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| 56 | REAL pzlay(ngrid,nlay),pzlev(ngrid,nlay+1) |
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| 57 | REAL pu(ngrid,nlay),pv(ngrid,nlay) |
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| 58 | REAL pt(ngrid,nlay),ppopsk(ngrid,nlay) |
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| 59 | REAL ptsrf(ngrid),pemis(ngrid) |
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| 60 | REAL pdufi(ngrid,nlay),pdvfi(ngrid,nlay) |
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| 61 | REAL pdtfi(ngrid,nlay) |
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| 62 | REAL pfluxsrf(ngrid) |
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| 63 | REAL pdudif(ngrid,nlay),pdvdif(ngrid,nlay) |
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| 64 | REAL pdtdif(ngrid,nlay) |
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| 65 | REAL pdtsrf(ngrid),sensibFlux(ngrid),pcapcal(ngrid) |
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| 66 | REAL pq2(ngrid,nlay+1) |
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| 67 | |
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| 68 | integer rnat(ngrid) |
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| 69 | |
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| 70 | ! Arguments added for condensation |
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| 71 | logical lecrit |
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| 72 | REAL pz0 |
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| 73 | |
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| 74 | ! Tracers |
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| 75 | ! -------- |
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| 76 | integer nq |
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| 77 | real pqsurf(ngrid,nq) |
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| 78 | real pq(ngrid,nlay,nq), pdqfi(ngrid,nlay,nq) |
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| 79 | real pdqdif(ngrid,nlay,nq) |
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| 80 | real pdqsdif(ngrid,nq) |
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| 81 | |
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| 82 | ! local |
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| 83 | ! ----- |
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| 84 | integer ilev,ig,ilay,nlev |
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| 85 | |
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| 86 | REAL z4st,zdplanck(ngridmx) |
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| 87 | REAL zkv(ngridmx,nlayermx+1),zkh(ngridmx,nlayermx+1) |
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| 88 | REAL zcdv(ngridmx),zcdh(ngridmx) |
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| 89 | REAL zcdv_true(ngridmx),zcdh_true(ngridmx) |
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| 90 | REAL zu(ngridmx,nlayermx),zv(ngridmx,nlayermx) |
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| 91 | REAL zh(ngridmx,nlayermx),zt(ngridmx,nlayermx) |
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| 92 | REAL ztsrf(ngridmx) |
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| 93 | REAL z1(ngridmx),z2(ngridmx) |
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| 94 | REAL zmass(ngridmx,nlayermx) |
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| 95 | REAL zfluxv(ngridmx,nlayermx),zfluxt(ngridmx,nlayermx),zfluxq(ngridmx,nlayermx) |
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| 96 | REAL zb0(ngridmx,nlayermx) |
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| 97 | REAL zExner(ngridmx,nlayermx),zovExner(ngridmx,nlayermx) |
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| 98 | REAL zcv(ngridmx,nlayermx),zdv(ngridmx,nlayermx) !inversion coefficient for winds |
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| 99 | REAL zct(ngridmx,nlayermx),zdt(ngridmx,nlayermx) !inversion coefficient for temperature |
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| 100 | REAL zcq(ngridmx,nlayermx),zdq(ngridmx,nlayermx) !inversion coefficient for tracers |
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| 101 | REAL zcst1 |
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| 102 | REAL zu2!, a |
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| 103 | REAL zcq0(ngridmx),zdq0(ngridmx) |
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| 104 | REAL zx_alf1(ngridmx),zx_alf2(ngridmx) |
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| 105 | |
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| 106 | LOGICAL firstcall |
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| 107 | SAVE firstcall |
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| 108 | |
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| 109 | LOGICAL lastcall |
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| 110 | ! Tracers |
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| 111 | ! ------- |
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| 112 | INTEGER iq |
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| 113 | REAL zq(ngridmx,nlayermx,nqmx) |
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| 114 | REAL zqnoevap(ngridmx,nlayermx) !special for water case to compute where evaporated water goes. |
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| 115 | REAL pdqevap(ngridmx,nlayermx) !special for water case to compute where evaporated water goes. |
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| 116 | REAL zdmassevap(ngridmx) |
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| 117 | REAL rho(ngridmx) ! near-surface air density |
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| 118 | REAL qsat(ngridmx),psat(ngridmx) |
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| 119 | DATA firstcall/.true./ |
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| 120 | REAL kmixmin |
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| 121 | |
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| 122 | ! Variables added for implicit latent heat inclusion |
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| 123 | ! -------------------------------------------------- |
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| 124 | real dqsat(ngridmx), qsat_temp1, qsat_temp2,psat_temp |
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| 125 | |
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| 126 | integer, save :: ivap, iliq, iliq_surf,iice_surf ! also make liq for clarity on surface... |
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| 127 | |
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| 128 | real, parameter :: karman=0.4 |
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| 129 | real cd0, roughratio |
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| 130 | |
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| 131 | real dqsdif_total(ngrid) |
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| 132 | real zq0(ngrid) |
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| 133 | |
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| 134 | |
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| 135 | ! Coherence test |
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| 136 | ! -------------- |
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| 137 | |
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| 138 | IF (firstcall) THEN |
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| 139 | |
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| 140 | if(water)then |
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| 141 | ivap=igcm_h2o_vap |
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| 142 | iliq=igcm_h2o_ice |
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| 143 | iliq_surf=igcm_h2o_vap |
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| 144 | iice_surf=igcm_h2o_ice ! simply to make the code legible |
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| 145 | ! to be generalised |
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| 146 | else |
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| 147 | ivap=0 |
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| 148 | iliq=0 |
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| 149 | iliq_surf=0 |
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| 150 | iice_surf=0 ! simply to make the code legible |
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| 151 | endif |
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| 152 | sensibFlux(:)=0. |
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| 153 | |
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| 154 | firstcall=.false. |
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| 155 | ENDIF |
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| 156 | |
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| 157 | !----------------------------------------------------------------------- |
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| 158 | ! 1. Initialisation |
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| 159 | ! ----------------- |
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| 160 | |
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| 161 | nlev=nlay+1 |
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| 162 | |
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| 163 | ! Calculate rho*dz, (P/Ps)**(R/cp) and dt*rho/dz=dt*rho**2 g/dp |
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| 164 | ! with rho=p/RT=p/ (R Theta) (p/ps)**kappa |
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| 165 | ! --------------------------------------------- |
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| 166 | |
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| 167 | DO ilay=1,nlay |
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| 168 | DO ig=1,ngrid |
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| 169 | zmass(ig,ilay)=(pplev(ig,ilay)-pplev(ig,ilay+1))/g |
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| 170 | zExner(ig,ilay)=(pplev(ig,ilay)/pplev(ig,1))**rcp |
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| 171 | zovExner(ig,ilay)=1./ppopsk(ig,ilay) |
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| 172 | ENDDO |
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| 173 | ENDDO |
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| 174 | |
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| 175 | zcst1=4.*g*ptimestep/(R*R) |
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| 176 | DO ilev=2,nlev-1 |
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| 177 | DO ig=1,ngrid |
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| 178 | zb0(ig,ilev)=pplev(ig,ilev)/(pt(ig,ilev-1)+pt(ig,ilev)) |
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| 179 | zb0(ig,ilev)=zcst1*zb0(ig,ilev)*zb0(ig,ilev)/(pplay(ig,ilev-1)-pplay(ig,ilev)) |
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| 180 | ENDDO |
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| 181 | ENDDO |
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| 182 | DO ig=1,ngrid |
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| 183 | zb0(ig,1)=ptimestep*pplev(ig,1)/(R*ptsrf(ig)) |
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| 184 | ENDDO |
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| 185 | dqsdif_total(:)=0.0 |
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| 186 | |
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| 187 | !----------------------------------------------------------------------- |
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| 188 | ! 2. Add the physical tendencies computed so far |
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| 189 | ! ---------------------------------------------- |
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| 190 | |
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| 191 | DO ilev=1,nlay |
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| 192 | DO ig=1,ngrid |
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| 193 | zu(ig,ilev)=pu(ig,ilev)+pdufi(ig,ilev)*ptimestep |
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| 194 | zv(ig,ilev)=pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep |
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| 195 | zt(ig,ilev)=pt(ig,ilev)+pdtfi(ig,ilev)*ptimestep |
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| 196 | zh(ig,ilev)=pt(ig,ilev)*zovExner(ig,ilev) !for call vdif_kc, but could be moved and computed there |
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| 197 | ENDDO |
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| 198 | ENDDO |
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| 199 | if(tracer) then |
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| 200 | DO iq =1, nq |
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| 201 | DO ilev=1,nlay |
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| 202 | DO ig=1,ngrid |
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| 203 | zq(ig,ilev,iq)=pq(ig,ilev,iq) + pdqfi(ig,ilev,iq)*ptimestep |
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| 204 | ENDDO |
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| 205 | ENDDO |
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| 206 | ENDDO |
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| 207 | if (water) then |
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| 208 | DO ilev=1,nlay |
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| 209 | DO ig=1,ngrid |
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| 210 | zqnoevap(ig,ilev)=pq(ig,ilev,ivap) + pdqfi(ig,ilev,ivap)*ptimestep |
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| 211 | ENDDO |
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| 212 | ENDDO |
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| 213 | Endif |
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| 214 | end if |
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| 215 | |
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| 216 | !----------------------------------------------------------------------- |
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| 217 | ! 3. Turbulence scheme |
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| 218 | ! -------------------- |
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| 219 | ! |
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| 220 | ! Source of turbulent kinetic energy at the surface |
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| 221 | ! ------------------------------------------------- |
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| 222 | ! Formula is Cd_0 = (karman / log[1+z1/z0])^2 |
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| 223 | |
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| 224 | DO ig=1,ngrid |
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| 225 | roughratio = 1. + pzlay(ig,1)/pz0 |
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| 226 | cd0 = karman/log(roughratio) |
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| 227 | cd0 = cd0*cd0 |
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| 228 | zcdv_true(ig) = cd0 |
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| 229 | zcdh_true(ig) = cd0 |
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| 230 | ! zcdv_true(ig)=0.!JL12 uncomment to disable atm/surface momentum flux |
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| 231 | ! zcdh_true(ig)=0.!JL12 uncomment to disable sensible heat flux |
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| 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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| 243 | call vdif_kc(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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| 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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| 257 | !JL12 change zkv at the surface by zcdv to calculate the surface momentum flux properly |
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| 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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| 264 | zfluxv(1:ngridmx,1:nlayermx)=zkv(1:ngridmx,1:nlayermx)*zb0(1:ngridmx,1:nlayermx) |
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| 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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| 355 | zkh(ig,1)= zcdh(ig) |
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| 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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| 360 | zfluxq(1:ngridmx,1:nlayermx)=zkh(1:ngridmx,1:nlayermx)*zb0(1:ngridmx,1:nlayermx) !JL12 we save zfluxq which doesn't need the Exner factor |
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| 361 | zfluxt(1:ngridmx,1:nlayermx)=zfluxq(1:ngridmx,1:nlayermx)*zExner(1:ngridmx,1:nlayermx) |
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| 362 | |
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| 363 | |
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| 364 | DO ig=1,ngrid |
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| 365 | z1(ig)=1./(zmass(ig,nlay)+zfluxt(ig,nlay)*zovExner(ig,nlay)) |
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| 366 | zct(ig,nlay)=zmass(ig,nlay)*zt(ig,nlay)*z1(ig) |
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| 367 | zdt(ig,nlay)=zfluxt(ig,nlay)*zovExner(ig,nlay-1)*z1(ig) |
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| 368 | ENDDO |
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| 369 | |
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| 370 | DO ilay=nlay-1,2,-1 |
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| 371 | DO ig=1,ngrid |
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| 372 | z1(ig)=1./(zmass(ig,ilay)+zfluxt(ig,ilay)*zovExner(ig,ilay)+ & |
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| 373 | zfluxt(ig,ilay+1)*(zovExner(ig,ilay)-zdt(ig,ilay+1)*zovExner(ig,ilay+1))) |
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| 374 | 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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| 375 | zdt(ig,ilay)=zfluxt(ig,ilay)*z1(ig)*zovExner(ig,ilay-1) |
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| 376 | ENDDO |
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| 377 | ENDDO |
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| 378 | |
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| 379 | !JL12 we treat last point afterward because zovExner(ig,ilay-1) does not exist there |
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| 380 | DO ig=1,ngrid |
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| 381 | z1(ig)=1./(zmass(ig,1)+zfluxt(ig,1)*zovExner(ig,1)+ & |
|---|
| 382 | zfluxt(ig,2)*(zovExner(ig,1)-zdt(ig,2)*zovExner(ig,2))) |
|---|
| 383 | zct(ig,1)=(zmass(ig,1)*zt(ig,1)+zfluxt(ig,2)*zct(ig,2)*zovExner(ig,2))*z1(ig) |
|---|
| 384 | zdt(ig,1)=zfluxt(ig,1)*z1(ig) |
|---|
| 385 | ENDDO |
|---|
| 386 | |
|---|
| 387 | |
|---|
| 388 | ! Calculate (d Planck / dT) at the interface temperature |
|---|
| 389 | ! ------------------------------------------------------ |
|---|
| 390 | |
|---|
| 391 | z4st=4.0*sigma*ptimestep |
|---|
| 392 | DO ig=1,ngrid |
|---|
| 393 | zdplanck(ig)=z4st*pemis(ig)*ptsrf(ig)*ptsrf(ig)*ptsrf(ig) |
|---|
| 394 | ENDDO |
|---|
| 395 | |
|---|
| 396 | ! Calculate temperature tendency at the interface (dry case) |
|---|
| 397 | ! ---------------------------------------------------------- |
|---|
| 398 | ! Sum of fluxes at interface at time t + \delta t gives change in T: |
|---|
| 399 | ! radiative fluxes |
|---|
| 400 | ! turbulent convective (sensible) heat flux |
|---|
| 401 | ! flux (if any) from subsurface |
|---|
| 402 | |
|---|
| 403 | if(.not.water) then |
|---|
| 404 | |
|---|
| 405 | DO ig=1,ngrid |
|---|
| 406 | |
|---|
| 407 | z1(ig)=pcapcal(ig)*ptsrf(ig)+cpp*zfluxt(ig,1)*zct(ig,1)*zovExner(ig,1) & |
|---|
| 408 | + pfluxsrf(ig)*ptimestep + zdplanck(ig)*ptsrf(ig) |
|---|
| 409 | z2(ig) = pcapcal(ig)+zdplanck(ig)+cpp*zfluxt(ig,1)*(1.-zovExner(ig,1)*zdt(ig,1)) |
|---|
| 410 | ztsrf(ig) = z1(ig) / z2(ig) |
|---|
| 411 | pdtsrf(ig) = (ztsrf(ig) - ptsrf(ig))/ptimestep |
|---|
| 412 | zt(ig,1) = zct(ig,1) + zdt(ig,1)*ztsrf(ig) |
|---|
| 413 | ENDDO |
|---|
| 414 | ! JL12 note that the black body radiative flux emitted by the surface has been updated by the implicit scheme |
|---|
| 415 | |
|---|
| 416 | |
|---|
| 417 | ! Recalculate temperature to top of atmosphere, starting from ground |
|---|
| 418 | ! ------------------------------------------------------------------ |
|---|
| 419 | |
|---|
| 420 | DO ilay=2,nlay |
|---|
| 421 | DO ig=1,ngrid |
|---|
| 422 | zt(ig,ilay)=zct(ig,ilay)+zdt(ig,ilay)*zt(ig,ilay-1) |
|---|
| 423 | ENDDO |
|---|
| 424 | ENDDO |
|---|
| 425 | |
|---|
| 426 | endif ! not water |
|---|
| 427 | |
|---|
| 428 | !----------------------------------------------------------------------- |
|---|
| 429 | ! TRACERS (no vapour) |
|---|
| 430 | ! ------- |
|---|
| 431 | |
|---|
| 432 | if(tracer) then |
|---|
| 433 | |
|---|
| 434 | ! Calculate vertical flux from the bottom to the first layer (dust) |
|---|
| 435 | ! ----------------------------------------------------------------- |
|---|
| 436 | do ig=1,ngridmx |
|---|
| 437 | rho(ig) = zb0(ig,1) /ptimestep |
|---|
| 438 | end do |
|---|
| 439 | |
|---|
| 440 | pdqsdif(:,:)=0. |
|---|
| 441 | |
|---|
| 442 | ! Implicit inversion of q |
|---|
| 443 | ! ----------------------- |
|---|
| 444 | do iq=1,nq |
|---|
| 445 | |
|---|
| 446 | if (iq.ne.ivap) then |
|---|
| 447 | |
|---|
| 448 | DO ig=1,ngrid |
|---|
| 449 | z1(ig)=1./(zmass(ig,nlay)+zfluxq(ig,nlay)) |
|---|
| 450 | zcq(ig,nlay)=zmass(ig,nlay)*zq(ig,nlay,iq)*z1(ig) |
|---|
| 451 | zdq(ig,nlay)=zfluxq(ig,nlay)*z1(ig) |
|---|
| 452 | ENDDO |
|---|
| 453 | |
|---|
| 454 | DO ilay=nlay-1,2,-1 |
|---|
| 455 | DO ig=1,ngrid |
|---|
| 456 | z1(ig)=1./(zmass(ig,ilay)+zfluxq(ig,ilay)+zfluxq(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
|---|
| 457 | zcq(ig,ilay)=(zmass(ig,ilay)*zq(ig,ilay,iq)+zfluxq(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
|---|
| 458 | zdq(ig,ilay)=zfluxq(ig,ilay)*z1(ig) |
|---|
| 459 | ENDDO |
|---|
| 460 | ENDDO |
|---|
| 461 | |
|---|
| 462 | if ((water).and.(iq.eq.iliq)) then |
|---|
| 463 | ! special case for condensed water tracer: do not include |
|---|
| 464 | ! h2o ice tracer from surface (which is set when handling |
|---|
| 465 | ! h2o vapour case (see further down). |
|---|
| 466 | ! zb(ig,1)=0 if iq ne ivap |
|---|
| 467 | DO ig=1,ngrid |
|---|
| 468 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
|---|
| 469 | zcq(ig,1)=(zmass(ig,1)*zq(ig,1,iq)+zfluxq(ig,2)*zcq(ig,2))*z1(ig) |
|---|
| 470 | ENDDO |
|---|
| 471 | else ! general case |
|---|
| 472 | DO ig=1,ngrid |
|---|
| 473 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
|---|
| 474 | zcq(ig,1)=(zmass(ig,1)*zq(ig,1,iq)+zfluxq(ig,2)*zcq(ig,2)+(-pdqsdif(ig,iq))*ptimestep)*z1(ig) |
|---|
| 475 | ! tracer flux from surface |
|---|
| 476 | ! currently pdqsdif always zero here, |
|---|
| 477 | ! so last line is superfluous |
|---|
| 478 | enddo |
|---|
| 479 | endif ! of if (water.and.(iq.eq.igcm_h2o_ice)) |
|---|
| 480 | |
|---|
| 481 | |
|---|
| 482 | ! Starting upward calculations for simple tracer mixing (e.g., dust) |
|---|
| 483 | do ig=1,ngrid |
|---|
| 484 | zq(ig,1,iq)=zcq(ig,1) |
|---|
| 485 | end do |
|---|
| 486 | |
|---|
| 487 | do ilay=2,nlay |
|---|
| 488 | do ig=1,ngrid |
|---|
| 489 | zq(ig,ilay,iq)=zcq(ig,ilay)+zdq(ig,ilay)*zq(ig,ilay-1,iq) |
|---|
| 490 | end do |
|---|
| 491 | end do |
|---|
| 492 | |
|---|
| 493 | endif ! if (iq.ne.ivap) |
|---|
| 494 | |
|---|
| 495 | ! Calculate temperature tendency including latent heat term |
|---|
| 496 | ! and assuming an infinite source of water on the ground |
|---|
| 497 | ! ------------------------------------------------------------------ |
|---|
| 498 | |
|---|
| 499 | if (water.and.(iq.eq.ivap)) then |
|---|
| 500 | |
|---|
| 501 | ! compute evaporation efficiency |
|---|
| 502 | do ig = 1, ngrid |
|---|
| 503 | if(rnat(ig).eq.1)then |
|---|
| 504 | dryness(ig)=pqsurf(ig,iliq_surf)+pqsurf(ig,iice_surf) |
|---|
| 505 | dryness(ig)=MIN(1.,2*dryness(ig)/mx_eau_sol) |
|---|
| 506 | dryness(ig)=MAX(0.,dryness(ig)) |
|---|
| 507 | endif |
|---|
| 508 | enddo |
|---|
| 509 | |
|---|
| 510 | do ig=1,ngrid |
|---|
| 511 | |
|---|
| 512 | ! Calculate the value of qsat at the surface (water) |
|---|
| 513 | call Psat_water(ptsrf(ig),pplev(ig,1),psat(ig),qsat(ig)) |
|---|
| 514 | call Psat_water(ptsrf(ig)-0.0001,pplev(ig,1),psat_temp,qsat_temp1) |
|---|
| 515 | call Psat_water(ptsrf(ig)+0.0001,pplev(ig,1),psat_temp,qsat_temp2) |
|---|
| 516 | dqsat(ig)=(qsat_temp2-qsat_temp1)/0.0002 |
|---|
| 517 | ! calculate dQsat / dT by finite differences |
|---|
| 518 | ! we cannot use the updated temperature value yet... |
|---|
| 519 | enddo |
|---|
| 520 | |
|---|
| 521 | ! coefficients for q |
|---|
| 522 | |
|---|
| 523 | do ig=1,ngrid |
|---|
| 524 | z1(ig)=1./(zmass(ig,nlay)+zfluxq(ig,nlay)) |
|---|
| 525 | zcq(ig,nlay)=zmass(ig,nlay)*zq(ig,nlay,iq)*z1(ig) |
|---|
| 526 | zdq(ig,nlay)=zfluxq(ig,nlay)*z1(ig) |
|---|
| 527 | enddo |
|---|
| 528 | |
|---|
| 529 | do ilay=nlay-1,2,-1 |
|---|
| 530 | do ig=1,ngrid |
|---|
| 531 | z1(ig)=1./(zmass(ig,ilay)+zfluxq(ig,ilay)+zfluxq(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
|---|
| 532 | zcq(ig,ilay)=(zmass(ig,ilay)*zq(ig,ilay,iq)+zfluxq(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
|---|
| 533 | zdq(ig,ilay)=zfluxq(ig,ilay)*z1(ig) |
|---|
| 534 | enddo |
|---|
| 535 | enddo |
|---|
| 536 | |
|---|
| 537 | do ig=1,ngrid |
|---|
| 538 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,1)*dryness(ig)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
|---|
| 539 | zcq(ig,1)=(zmass(ig,1)*zq(ig,1,iq)+zfluxq(ig,2)*zcq(ig,2))*z1(ig) |
|---|
| 540 | zdq(ig,1)=dryness(ig)*zfluxq(ig,1)*z1(ig) |
|---|
| 541 | enddo |
|---|
| 542 | |
|---|
| 543 | do ig=1,ngrid |
|---|
| 544 | !calculation of surface temperature |
|---|
| 545 | zdq0(ig) = dqsat(ig) |
|---|
| 546 | zcq0(ig) = qsat(ig)-dqsat(ig)*ptsrf(ig) |
|---|
| 547 | |
|---|
| 548 | z1(ig) = pcapcal(ig)*ptsrf(ig) +cpp*zfluxq(ig,1)*zct(ig,1)*zovExner(ig,1) & |
|---|
| 549 | + zdplanck(ig)*ptsrf(ig) + pfluxsrf(ig)*ptimestep & |
|---|
| 550 | + zfluxq(ig,1)*dryness(ig)*RLVTT*((zdq(ig,1)-1.0)*zcq0(ig)+zcq(ig,1)) |
|---|
| 551 | |
|---|
| 552 | z2(ig) = pcapcal(ig) + cpp*zfluxq(ig,1)*(1.-zovExner(ig,1)*zdt(ig,1)) & |
|---|
| 553 | + zdplanck(ig)+zfluxq(ig,1)*dryness(ig)*RLVTT*zdq0(ig)*(1.0-zdq(ig,1)) |
|---|
| 554 | |
|---|
| 555 | ztsrf(ig) = z1(ig) / z2(ig) |
|---|
| 556 | |
|---|
| 557 | ! calculation of qs and q1 |
|---|
| 558 | zq0(ig) = zcq0(ig)+zdq0(ig)*ztsrf(ig) |
|---|
| 559 | zq(ig,1,iq) = zcq(ig,1)+zdq(ig,1)*zq0(ig) |
|---|
| 560 | |
|---|
| 561 | ! calculation of evaporation |
|---|
| 562 | dqsdif_total(ig)=zfluxq(ig,1)*dryness(ig)*(zq(ig,1,ivap)-zq0(ig)) |
|---|
| 563 | |
|---|
| 564 | ! -------------------------------------------------------- |
|---|
| 565 | ! Now check if we've taken too much water from the surface |
|---|
| 566 | ! This can only occur on the continent |
|---|
| 567 | ! If we do, we recompute Tsurf, T1 and q1 accordingly |
|---|
| 568 | if((-dqsdif_total(ig).gt.(pqsurf(ig,iice_surf)+pqsurf(ig,iliq_surf))).and.rnat(ig).eq.1)then |
|---|
| 569 | !water flux * ptimestep |
|---|
| 570 | dqsdif_total(ig)=-(pqsurf(ig,iice_surf)+pqsurf(ig,iliq_surf)) |
|---|
| 571 | |
|---|
| 572 | !recompute surface temperature |
|---|
| 573 | z1(ig) = pcapcal(ig)*ptsrf(ig) +cpp*zfluxq(ig,1)*zct(ig,1)*zovExner(ig,1) & |
|---|
| 574 | + zdplanck(ig)*ptsrf(ig) + pfluxsrf(ig)*ptimestep & |
|---|
| 575 | + RLVTT*dqsdif_total(ig) |
|---|
| 576 | z2(ig) = pcapcal(ig) + cpp*zfluxq(ig,1)*(1.-zovExner(ig,1)*zdt(ig,1)) & |
|---|
| 577 | + zdplanck(ig) |
|---|
| 578 | ztsrf(ig) = z1(ig) / z2(ig) |
|---|
| 579 | |
|---|
| 580 | !recompute q1 with new water flux from surface |
|---|
| 581 | zq(ig,1,iq) = (zmass(ig,1)*(pq(ig,1,iq)+ptimestep*pdqfi(ig,1,iq)) & |
|---|
| 582 | +zfluxq(ig,2)*zcq(ig,2)-dqsdif_total(ig)) & |
|---|
| 583 | / (zmass(ig,1)+(1.-zdq(ig,2))*zfluxq(ig,2)) |
|---|
| 584 | end if |
|---|
| 585 | |
|---|
| 586 | ! calculation surface T tendency and T(1) |
|---|
| 587 | pdtsrf(ig) = (ztsrf(ig) - ptsrf(ig))/ptimestep |
|---|
| 588 | zt(ig,1) = zct(ig,1) + zdt(ig,1)*ztsrf(ig) |
|---|
| 589 | enddo |
|---|
| 590 | |
|---|
| 591 | |
|---|
| 592 | ! recalculate temperature and q(vap) to top of atmosphere, starting from ground |
|---|
| 593 | do ilay=2,nlay |
|---|
| 594 | do ig=1,ngrid |
|---|
| 595 | zq(ig,ilay,iq)=zcq(ig,ilay)+zdq(ig,ilay)*zq(ig,ilay-1,iq) |
|---|
| 596 | zt(ig,ilay)=zct(ig,ilay)+zdt(ig,ilay)*zt(ig,ilay-1) |
|---|
| 597 | end do |
|---|
| 598 | end do |
|---|
| 599 | |
|---|
| 600 | |
|---|
| 601 | do ig=1,ngrid |
|---|
| 602 | ! -------------------------------------------------------------------------- |
|---|
| 603 | ! On the ocean, if T > 0 C then the vapour tendency must replace the ice one |
|---|
| 604 | ! The surface vapour tracer is actually liquid. To make things difficult. |
|---|
| 605 | |
|---|
| 606 | if (rnat(ig).eq.0) then ! unfrozen ocean |
|---|
| 607 | |
|---|
| 608 | pdqsdif(ig,iliq_surf)=dqsdif_total(ig)/ptimestep |
|---|
| 609 | pdqsdif(ig,iice_surf)=0.0 |
|---|
| 610 | |
|---|
| 611 | elseif (rnat(ig).eq.1) then ! (continent) |
|---|
| 612 | ! If water is evaporating / subliming, we take it from ice before liquid |
|---|
| 613 | ! -- is this valid?? |
|---|
| 614 | if(dqsdif_total(ig).lt.0)then |
|---|
| 615 | if (-dqsdif_total(ig).gt.pqsurf(ig,iice_surf))then |
|---|
| 616 | pdqsdif(ig,iice_surf) = -pqsurf(ig,iice_surf)/ptimestep ! removes all the ice! |
|---|
| 617 | pdqsdif(ig,iliq_surf) = dqsdif_total(ig)/ptimestep- pdqsdif(ig,iice_surf) ! take the remainder from the liquid instead |
|---|
| 618 | else |
|---|
| 619 | pdqsdif(ig,iice_surf)=dqsdif_total(ig)/ptimestep |
|---|
| 620 | pdqsdif(ig,iliq_surf)=0. |
|---|
| 621 | end if |
|---|
| 622 | else !dqsdif_total(ig).ge.0 |
|---|
| 623 | !If water vapour is condensing, we must decide whether it forms ice or liquid. |
|---|
| 624 | if(ztsrf(ig).gt.T_h2O_ice_liq)then |
|---|
| 625 | pdqsdif(ig,iice_surf)=0.0 |
|---|
| 626 | pdqsdif(ig,iliq_surf)=dqsdif_total(ig)/ptimestep |
|---|
| 627 | else |
|---|
| 628 | pdqsdif(ig,iice_surf)=dqsdif_total(ig)/ptimestep |
|---|
| 629 | pdqsdif(ig,iliq_surf)=0.0 |
|---|
| 630 | endif |
|---|
| 631 | endif |
|---|
| 632 | |
|---|
| 633 | elseif (rnat(ig).eq.2) then ! (continental glaciers) |
|---|
| 634 | pdqsdif(ig,iliq_surf)=0.0 |
|---|
| 635 | pdqsdif(ig,iice_surf)=dqsdif_total(ig)/ptimestep |
|---|
| 636 | |
|---|
| 637 | endif !rnat |
|---|
| 638 | end do ! of DO ig=1,ngrid |
|---|
| 639 | |
|---|
| 640 | endif ! if (water et iq=ivap) |
|---|
| 641 | end do ! of do iq=1,nq |
|---|
| 642 | |
|---|
| 643 | if (water) then ! special case where we recompute water mixing without any evaporation. |
|---|
| 644 | ! The difference with the first calculation then tells us where evaporated water has gone |
|---|
| 645 | |
|---|
| 646 | DO ig=1,ngrid |
|---|
| 647 | z1(ig)=1./(zmass(ig,nlay)+zfluxq(ig,nlay)) |
|---|
| 648 | zcq(ig,nlay)=zmass(ig,nlay)*zqnoevap(ig,nlay)*z1(ig) |
|---|
| 649 | zdq(ig,nlay)=zfluxq(ig,nlay)*z1(ig) |
|---|
| 650 | ENDDO |
|---|
| 651 | |
|---|
| 652 | DO ilay=nlay-1,2,-1 |
|---|
| 653 | DO ig=1,ngrid |
|---|
| 654 | z1(ig)=1./(zmass(ig,ilay)+zfluxq(ig,ilay)+zfluxq(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
|---|
| 655 | zcq(ig,ilay)=(zmass(ig,ilay)*zqnoevap(ig,ilay)+zfluxq(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
|---|
| 656 | zdq(ig,ilay)=zfluxq(ig,ilay)*z1(ig) |
|---|
| 657 | ENDDO |
|---|
| 658 | ENDDO |
|---|
| 659 | |
|---|
| 660 | DO ig=1,ngrid |
|---|
| 661 | z1(ig)=1./(zmass(ig,1)+zfluxq(ig,2)*(1.-zdq(ig,2))) |
|---|
| 662 | zcq(ig,1)=(zmass(ig,1)*zqnoevap(ig,1)+zfluxq(ig,2)*zcq(ig,2))*z1(ig) |
|---|
| 663 | enddo |
|---|
| 664 | |
|---|
| 665 | ! Starting upward calculations for simple tracer mixing (e.g., dust) |
|---|
| 666 | do ig=1,ngrid |
|---|
| 667 | zqnoevap(ig,1)=zcq(ig,1) |
|---|
| 668 | end do |
|---|
| 669 | |
|---|
| 670 | do ilay=2,nlay |
|---|
| 671 | do ig=1,ngrid |
|---|
| 672 | zqnoevap(ig,ilay)=zcq(ig,ilay)+zdq(ig,ilay)*zqnoevap(ig,ilay-1) |
|---|
| 673 | end do |
|---|
| 674 | end do |
|---|
| 675 | |
|---|
| 676 | endif ! if water |
|---|
| 677 | |
|---|
| 678 | |
|---|
| 679 | endif ! tracer |
|---|
| 680 | |
|---|
| 681 | |
|---|
| 682 | !----------------------------------------------------------------------- |
|---|
| 683 | ! 8. Final calculation of the vertical diffusion tendencies |
|---|
| 684 | ! ----------------------------------------------------------------- |
|---|
| 685 | |
|---|
| 686 | do ilev = 1, nlay |
|---|
| 687 | do ig=1,ngrid |
|---|
| 688 | pdudif(ig,ilev)=(zu(ig,ilev)-(pu(ig,ilev)+pdufi(ig,ilev)*ptimestep))/ptimestep |
|---|
| 689 | pdvdif(ig,ilev)=(zv(ig,ilev)-(pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep))/ptimestep |
|---|
| 690 | pdtdif(ig,ilev)=( zt(ig,ilev)- pt(ig,ilev))/ptimestep-pdtfi(ig,ilev) |
|---|
| 691 | enddo |
|---|
| 692 | enddo |
|---|
| 693 | |
|---|
| 694 | DO ig=1,ngrid ! computing sensible heat flux (atm => surface) |
|---|
| 695 | sensibFlux(ig)=cpp*zfluxt(ig,1)/ptimestep*(zt(ig,1)*zovExner(ig,1)-ztsrf(ig)) |
|---|
| 696 | ENDDO |
|---|
| 697 | |
|---|
| 698 | if (tracer) then |
|---|
| 699 | do iq = 1, nq |
|---|
| 700 | do ilev = 1, nlay |
|---|
| 701 | do ig=1,ngrid |
|---|
| 702 | pdqdif(ig,ilev,iq)=(zq(ig,ilev,iq)-(pq(ig,ilev,iq)+pdqfi(ig,ilev,iq)*ptimestep))/ptimestep |
|---|
| 703 | enddo |
|---|
| 704 | enddo |
|---|
| 705 | enddo |
|---|
| 706 | if (water) then |
|---|
| 707 | do ilev = 1, nlay |
|---|
| 708 | do ig=1,ngrid |
|---|
| 709 | pdqevap(ig,ilev)=(zq(ig,ilev,ivap)-zqnoevap(ig,ilev))/ptimestep |
|---|
| 710 | enddo |
|---|
| 711 | enddo |
|---|
| 712 | do ig=1,ngrid |
|---|
| 713 | zdmassevap(ig)=SUM(pdqevap(ig,:)*zmass(ig,:))*ptimestep |
|---|
| 714 | end do |
|---|
| 715 | endif |
|---|
| 716 | endif |
|---|
| 717 | |
|---|
| 718 | if(water)then |
|---|
| 719 | call writediagfi(ngrid,'beta','Dryness coefficient',' ',2,dryness) |
|---|
| 720 | if (tracer) then |
|---|
| 721 | call writediagfi(ngrid,'dqevap','evaporated water vapor specific concentration','s-1',3,pdqevap) |
|---|
| 722 | endif |
|---|
| 723 | endif |
|---|
| 724 | |
|---|
| 725 | ! if(lastcall)then |
|---|
| 726 | ! if(ngrid.eq.1)then |
|---|
| 727 | ! print*,'Saving k.out...' |
|---|
| 728 | ! OPEN(12,file='k.out',form='formatted') |
|---|
| 729 | ! DO ilay=1,nlay |
|---|
| 730 | ! write(12,*) zkh(1,ilay), pplay(1,ilay) |
|---|
| 731 | ! ENDDO |
|---|
| 732 | ! CLOSE(12) |
|---|
| 733 | ! endif |
|---|
| 734 | ! endif |
|---|
| 735 | |
|---|
| 736 | |
|---|
| 737 | return |
|---|
| 738 | end |
|---|
