| 1 | subroutine vdifc(ngrid,nlay,nq,rnat,ppopsk, |
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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,ph,pq,ptsrf,pemis,pqsurf, |
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| 5 | & pdufi,pdvfi,pdhfi,pdqfi,pfluxsrf, |
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| 6 | & pdudif,pdvdif,pdhdif,pdtsrf,pq2, |
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| 7 | & pdqdif,pdqsdif) |
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| 8 | |
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| 9 | use watercommon_h, only : RLVTT, To, RCPD, mx_eau_sol |
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| 10 | |
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| 11 | implicit none |
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| 12 | |
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| 13 | !================================================================== |
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| 14 | ! |
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| 15 | ! Purpose |
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| 16 | ! ------- |
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| 17 | ! Turbulent diffusion (mixing) for pot. T, U, V and tracers |
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| 18 | ! |
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| 19 | ! Implicit scheme |
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| 20 | ! We start by adding to variables x the physical tendencies |
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| 21 | ! already computed. We resolve the equation: |
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| 22 | ! |
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| 23 | ! x(t+1) = x(t) + dt * (dx/dt)phys(t) + dt * (dx/dt)difv(t+1) |
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| 24 | ! |
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| 25 | ! Authors |
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| 26 | ! ------- |
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| 27 | ! F. Hourdin, F. Forget, R. Fournier (199X) |
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| 28 | ! R. Wordsworth, B. Charnay (2010) |
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| 29 | ! |
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| 30 | !================================================================== |
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| 31 | |
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| 32 | !----------------------------------------------------------------------- |
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| 33 | ! declarations |
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| 34 | ! ------------ |
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| 35 | |
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| 36 | #include "dimensions.h" |
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| 37 | #include "dimphys.h" |
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| 38 | #include "comcstfi.h" |
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| 39 | #include "callkeys.h" |
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| 40 | #include "surfdat.h" |
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| 41 | #include "comgeomfi.h" |
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| 42 | #include "tracer.h" |
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| 43 | |
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| 44 | #include "watercap.h" |
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| 45 | |
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| 46 | ! arguments |
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| 47 | ! --------- |
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| 48 | INTEGER ngrid,nlay |
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| 49 | REAL ptimestep |
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| 50 | REAL pplay(ngrid,nlay),pplev(ngrid,nlay+1) |
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| 51 | REAL pzlay(ngrid,nlay),pzlev(ngrid,nlay+1) |
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| 52 | REAL pu(ngrid,nlay),pv(ngrid,nlay),ph(ngrid,nlay) |
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| 53 | REAL ptsrf(ngrid),pemis(ngrid) |
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| 54 | REAL pdufi(ngrid,nlay),pdvfi(ngrid,nlay),pdhfi(ngrid,nlay) |
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| 55 | REAL pfluxsrf(ngrid) |
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| 56 | REAL pdudif(ngrid,nlay),pdvdif(ngrid,nlay),pdhdif(ngrid,nlay) |
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| 57 | REAL pdtsrf(ngrid),pcapcal(ngrid) |
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| 58 | REAL pq2(ngrid,nlay+1) |
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| 59 | |
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| 60 | integer rnat(ngrid) |
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| 61 | |
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| 62 | ! Arguments added for condensation |
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| 63 | REAL ppopsk(ngrid,nlay) |
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| 64 | logical lecrit |
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| 65 | REAL pz0 |
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| 66 | |
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| 67 | ! Tracers |
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| 68 | ! -------- |
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| 69 | integer nq |
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| 70 | real pqsurf(ngrid,nq) |
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| 71 | real pq(ngrid,nlay,nq), pdqfi(ngrid,nlay,nq) |
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| 72 | real pdqdif(ngrid,nlay,nq) |
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| 73 | real pdqsdif(ngrid,nq) |
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| 74 | |
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| 75 | ! local |
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| 76 | ! ----- |
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| 77 | integer ilev,ig,ilay,nlev |
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| 78 | |
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| 79 | REAL z4st,zdplanck(ngridmx) |
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| 80 | REAL zkv(ngridmx,nlayermx+1),zkh(ngridmx,nlayermx+1) |
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| 81 | REAL zcdv(ngridmx),zcdh(ngridmx) |
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| 82 | REAL zcdv_true(ngridmx),zcdh_true(ngridmx) |
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| 83 | REAL zu(ngridmx,nlayermx),zv(ngridmx,nlayermx) |
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| 84 | REAL zh(ngridmx,nlayermx) |
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| 85 | REAL ztsrf2(ngridmx) |
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| 86 | REAL z1(ngridmx),z2(ngridmx) |
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| 87 | REAL za(ngridmx,nlayermx),zb(ngridmx,nlayermx) |
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| 88 | REAL zb0(ngridmx,nlayermx) |
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| 89 | REAL zc(ngridmx,nlayermx),zd(ngridmx,nlayermx) |
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| 90 | REAL zcst1 |
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| 91 | REAL zu2!, a |
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| 92 | REAL zcq(ngridmx,nlayermx),zdq(ngridmx,nlayermx) |
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| 93 | REAL evap(ngridmx) |
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| 94 | REAL zcq0(ngridmx),zdq0(ngridmx) |
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| 95 | REAL zx_alf1(ngridmx),zx_alf2(ngridmx) |
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| 96 | |
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| 97 | LOGICAL firstcall |
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| 98 | SAVE firstcall |
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| 99 | |
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| 100 | ! variables added for CO2 condensation |
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| 101 | ! ------------------------------------ |
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| 102 | REAL hh !, zhcond(ngridmx,nlayermx) |
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| 103 | ! REAL latcond,tcond1mb |
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| 104 | ! REAL acond,bcond |
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| 105 | ! SAVE acond,bcond |
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| 106 | ! DATA latcond,tcond1mb/5.9e5,136.27/ |
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| 107 | |
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| 108 | ! Tracers |
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| 109 | ! ------- |
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| 110 | INTEGER iq |
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| 111 | REAL zq(ngridmx,nlayermx,nqmx) |
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| 112 | REAL zq1temp(ngridmx) |
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| 113 | REAL rho(ngridmx) ! near-surface air density |
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| 114 | REAL qsat(ngridmx) |
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| 115 | DATA firstcall/.true./ |
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| 116 | REAL kmixmin |
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| 117 | |
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| 118 | ! Variables added for implicit latent heat inclusion |
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| 119 | ! -------------------------------------------------- |
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| 120 | real latconst, dqsat(ngridmx), qsat_temp1, qsat_temp2 |
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| 121 | real z1_Tdry(ngridmx), z2_Tdry(ngridmx) |
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| 122 | real z1_T(ngridmx), z2_T(ngridmx) |
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| 123 | real zb_T(ngridmx) |
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| 124 | real zc_T(ngridmx,nlayermx) |
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| 125 | real zd_T(ngridmx,nlayermx) |
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| 126 | real lat1(ngridmx), lat2(ngridmx) |
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| 127 | real surfh2otot |
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| 128 | logical surffluxdiag |
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| 129 | integer isub ! sub-loop for precision |
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| 130 | |
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| 131 | integer ivap, iice ! also make liq for clarity on surface... |
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| 132 | save ivap, iice |
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| 133 | |
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| 134 | real, parameter :: sigma=5.67e-8 |
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| 135 | real, parameter :: karman=0.4 |
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| 136 | real cd0, roughratio |
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| 137 | |
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| 138 | logical forceWC |
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| 139 | real masse, Wtot, Wdiff |
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| 140 | |
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| 141 | real dqsdif_total(ngrid) |
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| 142 | real zq0(ngrid) |
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| 143 | |
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| 144 | forceWC=.true. |
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| 145 | ! forceWC=.false. |
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| 146 | |
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| 147 | |
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| 148 | ! Coherence test |
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| 149 | ! -------------- |
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| 150 | |
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| 151 | IF (firstcall) THEN |
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| 152 | ! IF(ngrid.NE.ngridmx) THEN |
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| 153 | ! PRINT*,'STOP dans vdifc' |
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| 154 | ! PRINT*,'probleme de dimensions :' |
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| 155 | ! PRINT*,'ngrid =',ngrid |
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| 156 | ! PRINT*,'ngridmx =',ngridmx |
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| 157 | ! STOP |
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| 158 | ! ENDIF |
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| 159 | ! To compute: Tcond= 1./(bcond-acond*log(.0095*p)) (p in pascal) |
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| 160 | ! bcond=1./tcond1mb |
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| 161 | ! acond=r/latcond |
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| 162 | ! PRINT*,'In vdifc: Tcond(P=1mb)=',tcond1mb,' Lcond=',latcond |
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| 163 | ! PRINT*,' acond,bcond',acond,bcond |
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| 164 | |
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| 165 | if(water)then |
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| 166 | ! iliq=igcm_h2o_vap |
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| 167 | ivap=igcm_h2o_vap |
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| 168 | iice=igcm_h2o_ice ! simply to make the code legible |
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| 169 | ! to be generalised later |
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| 170 | endif |
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| 171 | |
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| 172 | if(ngridmx.ne.1)then |
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| 173 | if(nonideal)then |
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| 174 | print*,'Nonideal doesnt work yet in 3D!!!' |
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| 175 | call abort |
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| 176 | endif |
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| 177 | endif |
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| 178 | |
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| 179 | firstcall=.false. |
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| 180 | ENDIF |
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| 181 | |
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| 182 | !----------------------------------------------------------------------- |
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| 183 | ! 1. Initialisation |
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| 184 | ! ----------------- |
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| 185 | |
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| 186 | nlev=nlay+1 |
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| 187 | |
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| 188 | ! Calculate rho*dz and dt*rho/dz=dt*rho**2 g/dp |
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| 189 | ! with rho=p/RT=p/ (R Theta) (p/ps)**kappa |
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| 190 | ! --------------------------------------------- |
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| 191 | |
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| 192 | DO ilay=1,nlay |
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| 193 | DO ig=1,ngrid |
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| 194 | za(ig,ilay)=(pplev(ig,ilay)-pplev(ig,ilay+1))/g |
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| 195 | ENDDO |
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| 196 | ENDDO |
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| 197 | |
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| 198 | zcst1=4.*g*ptimestep/(R*R) |
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| 199 | DO ilev=2,nlev-1 |
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| 200 | DO ig=1,ngrid |
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| 201 | zb0(ig,ilev)=pplev(ig,ilev)* |
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| 202 | s (pplev(ig,1)/pplev(ig,ilev))**rcp / |
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| 203 | s (ph(ig,ilev-1)+ph(ig,ilev)) |
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| 204 | zb0(ig,ilev)=zcst1*zb0(ig,ilev)*zb0(ig,ilev)/ |
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| 205 | s (pplay(ig,ilev-1)-pplay(ig,ilev)) |
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| 206 | ENDDO |
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| 207 | ENDDO |
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| 208 | DO ig=1,ngrid |
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| 209 | zb0(ig,1)=ptimestep*pplev(ig,1)/(R*ptsrf(ig)) |
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| 210 | ENDDO |
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| 211 | |
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| 212 | dqsdif_total(:)=0.0 |
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| 213 | |
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| 214 | !----------------------------------------------------------------------- |
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| 215 | ! 2. Add the physical tendencies computed so far |
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| 216 | ! ---------------------------------------------- |
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| 217 | |
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| 218 | DO ilev=1,nlay |
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| 219 | DO ig=1,ngrid |
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| 220 | zu(ig,ilev)=pu(ig,ilev)+pdufi(ig,ilev)*ptimestep |
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| 221 | zv(ig,ilev)=pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep |
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| 222 | zh(ig,ilev)=ph(ig,ilev)+pdhfi(ig,ilev)*ptimestep |
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| 223 | ENDDO |
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| 224 | ENDDO |
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| 225 | if(tracer) then |
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| 226 | DO iq =1, nq |
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| 227 | DO ilev=1,nlay |
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| 228 | DO ig=1,ngrid |
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| 229 | zq(ig,ilev,iq)=pq(ig,ilev,iq) + |
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| 230 | & pdqfi(ig,ilev,iq)*ptimestep |
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| 231 | ENDDO |
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| 232 | ENDDO |
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| 233 | ENDDO |
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| 234 | end if |
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| 235 | |
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| 236 | !----------------------------------------------------------------------- |
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| 237 | ! 3. Turbulence scheme |
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| 238 | ! -------------------- |
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| 239 | ! |
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| 240 | ! Source of turbulent kinetic energy at the surface |
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| 241 | ! ------------------------------------------------- |
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| 242 | ! Formula is Cd_0 = (karman / log[1+z1/z0])^2 |
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| 243 | |
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| 244 | DO ig=1,ngrid |
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| 245 | roughratio = 1.E+0 + pzlay(ig,1)/pz0 |
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| 246 | cd0 = karman/log(roughratio) |
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| 247 | cd0 = cd0*cd0 |
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| 248 | zcdv_true(ig) = cd0 |
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| 249 | zcdh_true(ig) = cd0 |
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| 250 | ENDDO |
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| 251 | |
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| 252 | DO ig=1,ngrid |
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| 253 | zu2=pu(ig,1)*pu(ig,1)+pv(ig,1)*pv(ig,1) |
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| 254 | zcdv(ig)=zcdv_true(ig)*sqrt(zu2) |
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| 255 | zcdh(ig)=zcdh_true(ig)*sqrt(zu2) |
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| 256 | ENDDO |
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| 257 | |
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| 258 | ! Turbulent diffusion coefficients in the boundary layer |
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| 259 | ! ------------------------------------------------------ |
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| 260 | |
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| 261 | call vdif_kc(ptimestep,g,pzlev,pzlay |
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| 262 | & ,pu,pv,ph,zcdv_true |
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| 263 | & ,pq2,zkv,zkh) |
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| 264 | |
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| 265 | ! Adding eddy mixing to mimic 3D general circulation in 1D |
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| 266 | ! R. Wordsworth & F. Forget (2010) |
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| 267 | if ((ngrid.eq.1)) then |
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| 268 | kmixmin = 1.0e-2 ! minimum eddy mix coeff in 1D |
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| 269 | do ilev=1,nlay |
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| 270 | do ig=1,ngrid |
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| 271 | !zkh(ig,ilev) = 1.0 |
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| 272 | zkh(ig,ilev) = max(kmixmin,zkh(ig,ilev)) |
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| 273 | zkv(ig,ilev) = max(kmixmin,zkv(ig,ilev)) |
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| 274 | end do |
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| 275 | end do |
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| 276 | end if |
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| 277 | |
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| 278 | !----------------------------------------------------------------------- |
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| 279 | ! 4. Implicit inversion of u |
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| 280 | ! -------------------------- |
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| 281 | |
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| 282 | ! u(t+1) = u(t) + dt * {(du/dt)phys}(t) + dt * {(du/dt)difv}(t+1) |
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| 283 | ! avec |
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| 284 | ! /zu/ = u(t) + dt * {(du/dt)phys}(t) (voir paragraphe 2.) |
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| 285 | ! et |
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| 286 | ! dt * {(du/dt)difv}(t+1) = dt * {(d/dz)[ Ku (du/dz) ]}(t+1) |
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| 287 | ! donc les entrees sont /zcdv/ pour la condition a la limite sol |
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| 288 | ! et /zkv/ = Ku |
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| 289 | |
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| 290 | CALL multipl((nlay-1)*ngrid,zkv(1,2),zb0(1,2),zb(1,2)) |
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| 291 | CALL multipl(ngrid,zcdv,zb0,zb) |
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| 292 | |
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| 293 | DO ig=1,ngrid |
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| 294 | z1(ig)=1./(za(ig,nlay)+zb(ig,nlay)) |
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| 295 | zc(ig,nlay)=za(ig,nlay)*zu(ig,nlay)*z1(ig) |
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| 296 | zd(ig,nlay)=zb(ig,nlay)*z1(ig) |
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| 297 | ENDDO |
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| 298 | |
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| 299 | DO ilay=nlay-1,1,-1 |
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| 300 | DO ig=1,ngrid |
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| 301 | z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+ |
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| 302 | $ zb(ig,ilay+1)*(1.-zd(ig,ilay+1))) |
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| 303 | zc(ig,ilay)=(za(ig,ilay)*zu(ig,ilay)+ |
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| 304 | $ zb(ig,ilay+1)*zc(ig,ilay+1))*z1(ig) |
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| 305 | zd(ig,ilay)=zb(ig,ilay)*z1(ig) |
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| 306 | ENDDO |
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| 307 | ENDDO |
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| 308 | |
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| 309 | DO ig=1,ngrid |
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| 310 | zu(ig,1)=zc(ig,1) |
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| 311 | ENDDO |
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| 312 | DO ilay=2,nlay |
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| 313 | DO ig=1,ngrid |
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| 314 | zu(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*zu(ig,ilay-1) |
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| 315 | ENDDO |
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| 316 | ENDDO |
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| 317 | |
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| 318 | !----------------------------------------------------------------------- |
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| 319 | ! 5. Implicit inversion of v |
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| 320 | ! -------------------------- |
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| 321 | |
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| 322 | ! v(t+1) = v(t) + dt * {(dv/dt)phys}(t) + dt * {(dv/dt)difv}(t+1) |
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| 323 | ! avec |
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| 324 | ! /zv/ = v(t) + dt * {(dv/dt)phys}(t) (voir paragraphe 2.) |
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| 325 | ! et |
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| 326 | ! dt * {(dv/dt)difv}(t+1) = dt * {(d/dz)[ Kv (dv/dz) ]}(t+1) |
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| 327 | ! donc les entrees sont /zcdv/ pour la condition a la limite sol |
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| 328 | ! et /zkv/ = Kv |
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| 329 | |
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| 330 | DO ig=1,ngrid |
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| 331 | z1(ig)=1./(za(ig,nlay)+zb(ig,nlay)) |
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| 332 | zc(ig,nlay)=za(ig,nlay)*zv(ig,nlay)*z1(ig) |
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| 333 | zd(ig,nlay)=zb(ig,nlay)*z1(ig) |
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| 334 | ENDDO |
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| 335 | |
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| 336 | DO ilay=nlay-1,1,-1 |
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| 337 | DO ig=1,ngrid |
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| 338 | z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+ |
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| 339 | $ zb(ig,ilay+1)*(1.-zd(ig,ilay+1))) |
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| 340 | zc(ig,ilay)=(za(ig,ilay)*zv(ig,ilay)+ |
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| 341 | $ zb(ig,ilay+1)*zc(ig,ilay+1))*z1(ig) |
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| 342 | zd(ig,ilay)=zb(ig,ilay)*z1(ig) |
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| 343 | ENDDO |
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| 344 | ENDDO |
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| 345 | |
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| 346 | DO ig=1,ngrid |
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| 347 | zv(ig,1)=zc(ig,1) |
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| 348 | ENDDO |
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| 349 | DO ilay=2,nlay |
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| 350 | DO ig=1,ngrid |
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| 351 | zv(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*zv(ig,ilay-1) |
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| 352 | ENDDO |
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| 353 | ENDDO |
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| 354 | |
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| 355 | !---------------------------------------------------------------------------- |
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| 356 | ! 6. Implicit inversion of h, not forgetting the coupling with the ground |
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| 357 | |
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| 358 | ! h(t+1) = h(t) + dt * {(dh/dt)phys}(t) + dt * {(dh/dt)difv}(t+1) |
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| 359 | ! avec |
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| 360 | ! /zh/ = h(t) + dt * {(dh/dt)phys}(t) (voir paragraphe 2.) |
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| 361 | ! et |
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| 362 | ! dt * {(dh/dt)difv}(t+1) = dt * {(d/dz)[ Kh (dh/dz) ]}(t+1) |
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| 363 | ! donc les entrees sont /zcdh/ pour la condition de raccord au sol |
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| 364 | ! et /zkh/ = Kh |
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| 365 | |
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| 366 | ! Using the wind modified by friction for lifting and sublimation |
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| 367 | ! --------------------------------------------------------------- |
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| 368 | DO ig=1,ngrid |
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| 369 | zu2 = zu(ig,1)*zu(ig,1)+zv(ig,1)*zv(ig,1) |
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| 370 | zcdv(ig) = zcdv_true(ig)*sqrt(zu2) |
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| 371 | zcdh(ig) = zcdh_true(ig)*sqrt(zu2) |
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| 372 | ENDDO |
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| 373 | |
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| 374 | CALL multipl((nlay-1)*ngrid,zkh(1,2),zb0(1,2),zb(1,2)) |
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| 375 | CALL multipl(ngrid,zcdh,zb0,zb) |
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| 376 | |
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| 377 | DO ig=1,ngrid |
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| 378 | z1(ig)=1./(za(ig,nlay)+zb(ig,nlay)) |
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| 379 | zc(ig,nlay)=za(ig,nlay)*zh(ig,nlay)*z1(ig) |
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| 380 | zd(ig,nlay)=zb(ig,nlay)*z1(ig) |
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| 381 | ENDDO |
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| 382 | |
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| 383 | DO ilay=nlay-1,2,-1 |
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| 384 | DO ig=1,ngrid |
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| 385 | z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+ |
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| 386 | & zb(ig,ilay+1)*(1.-zd(ig,ilay+1))) |
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| 387 | zc(ig,ilay)=(za(ig,ilay)*zh(ig,ilay)+ |
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| 388 | & zb(ig,ilay+1)*zc(ig,ilay+1))*z1(ig) |
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| 389 | zd(ig,ilay)=zb(ig,ilay)*z1(ig) |
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| 390 | ENDDO |
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| 391 | ENDDO |
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| 392 | |
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| 393 | DO ig=1,ngrid |
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| 394 | z1(ig)=1./(za(ig,1)+zb(ig,1)+ |
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| 395 | & zb(ig,2)*(1.-zd(ig,2))) |
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| 396 | zc(ig,1)=(za(ig,1)*zh(ig,1)+ |
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| 397 | & zb(ig,2)*zc(ig,2))*z1(ig) |
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| 398 | zd(ig,1)=zb(ig,1)*z1(ig) |
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| 399 | ENDDO |
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| 400 | |
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| 401 | ! Calculate (d Planck / dT) at the interface temperature |
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| 402 | ! ------------------------------------------------------ |
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| 403 | |
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| 404 | z4st=4.0*sigma*ptimestep |
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| 405 | DO ig=1,ngrid |
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| 406 | zdplanck(ig)=z4st*pemis(ig)*ptsrf(ig)*ptsrf(ig)*ptsrf(ig) |
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| 407 | ENDDO |
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| 408 | |
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| 409 | ! Calculate temperature tendency at the interface (dry case) |
|---|
| 410 | ! ---------------------------------------------------------- |
|---|
| 411 | ! Sum of fluxes at interface at time t + \delta t gives change in T: |
|---|
| 412 | ! radiative fluxes |
|---|
| 413 | ! turbulent convective (sensible) heat flux |
|---|
| 414 | ! flux (if any) from subsurface |
|---|
| 415 | |
|---|
| 416 | if(.not.water) then |
|---|
| 417 | |
|---|
| 418 | DO ig=1,ngrid |
|---|
| 419 | |
|---|
| 420 | z1(ig) = pcapcal(ig)*ptsrf(ig) + cpp*zb(ig,1)*zc(ig,1) |
|---|
| 421 | & + zdplanck(ig)*ptsrf(ig) + pfluxsrf(ig)*ptimestep |
|---|
| 422 | z2(ig) = pcapcal(ig) + cpp*zb(ig,1)*(1.-zd(ig,1)) |
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| 423 | & +zdplanck(ig) |
|---|
| 424 | ztsrf2(ig) = z1(ig) / z2(ig) |
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| 425 | pdtsrf(ig) = (ztsrf2(ig) - ptsrf(ig))/ptimestep |
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| 426 | zh(ig,1) = zc(ig,1) + zd(ig,1)*ztsrf2(ig) |
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| 427 | ENDDO |
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| 428 | |
|---|
| 429 | ! Recalculate temperature to top of atmosphere, starting from ground |
|---|
| 430 | ! ------------------------------------------------------------------ |
|---|
| 431 | |
|---|
| 432 | DO ilay=2,nlay |
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| 433 | DO ig=1,ngrid |
|---|
| 434 | hh = zh(ig,ilay-1) |
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| 435 | zh(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*hh |
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| 436 | ENDDO |
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| 437 | ENDDO |
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| 438 | |
|---|
| 439 | endif ! not water |
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| 440 | |
|---|
| 441 | !----------------------------------------------------------------------- |
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| 442 | ! TRACERS (no vapour) |
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| 443 | ! ------- |
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| 444 | |
|---|
| 445 | if(tracer) then |
|---|
| 446 | |
|---|
| 447 | ! Calculate vertical flux from the bottom to the first layer (dust) |
|---|
| 448 | ! ----------------------------------------------------------------- |
|---|
| 449 | do ig=1,ngridmx |
|---|
| 450 | rho(ig) = zb0(ig,1) /ptimestep |
|---|
| 451 | end do |
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| 452 | |
|---|
| 453 | call zerophys(ngrid*nq,pdqsdif) |
|---|
| 454 | |
|---|
| 455 | ! Implicit inversion of q |
|---|
| 456 | ! ----------------------- |
|---|
| 457 | do iq=1,nq |
|---|
| 458 | |
|---|
| 459 | if (iq.ne.igcm_h2o_vap) then |
|---|
| 460 | |
|---|
| 461 | DO ig=1,ngrid |
|---|
| 462 | z1(ig)=1./(za(ig,nlay)+zb(ig,nlay)) |
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| 463 | zcq(ig,nlay)=za(ig,nlay)*zq(ig,nlay,iq)*z1(ig) |
|---|
| 464 | zdq(ig,nlay)=zb(ig,nlay)*z1(ig) |
|---|
| 465 | ENDDO |
|---|
| 466 | |
|---|
| 467 | DO ilay=nlay-1,2,-1 |
|---|
| 468 | DO ig=1,ngrid |
|---|
| 469 | z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+ |
|---|
| 470 | & zb(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
|---|
| 471 | zcq(ig,ilay)=(za(ig,ilay)*zq(ig,ilay,iq)+ |
|---|
| 472 | & zb(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
|---|
| 473 | zdq(ig,ilay)=zb(ig,ilay)*z1(ig) |
|---|
| 474 | ENDDO |
|---|
| 475 | ENDDO |
|---|
| 476 | |
|---|
| 477 | if ((water).and.(iq.eq.iice)) then |
|---|
| 478 | ! special case for water ice tracer: do not include |
|---|
| 479 | ! h2o ice tracer from surface (which is set when handling |
|---|
| 480 | ! h2o vapour case (see further down). |
|---|
| 481 | ! zb(ig,1)=0 if iq ne ivap |
|---|
| 482 | DO ig=1,ngrid |
|---|
| 483 | z1(ig)=1./(za(ig,1)+ |
|---|
| 484 | & zb(ig,2)*(1.-zdq(ig,2))) |
|---|
| 485 | zcq(ig,1)=(za(ig,1)*zq(ig,1,iq)+ |
|---|
| 486 | & zb(ig,2)*zcq(ig,2))*z1(ig) |
|---|
| 487 | ENDDO |
|---|
| 488 | else ! general case |
|---|
| 489 | DO ig=1,ngrid |
|---|
| 490 | z1(ig)=1./(za(ig,1)+ |
|---|
| 491 | & zb(ig,2)*(1.-zdq(ig,2))) |
|---|
| 492 | zcq(ig,1)=(za(ig,1)*zq(ig,1,iq)+ |
|---|
| 493 | & zb(ig,2)*zcq(ig,2) |
|---|
| 494 | & +(-pdqsdif(ig,iq))*ptimestep)*z1(ig) |
|---|
| 495 | ! tracer flux from surface |
|---|
| 496 | ! currently pdqsdif always zero here, |
|---|
| 497 | ! so last line is superfluous |
|---|
| 498 | enddo |
|---|
| 499 | endif ! of if (water.and.(iq.eq.igcm_h2o_ice)) |
|---|
| 500 | |
|---|
| 501 | |
|---|
| 502 | ! Starting upward calculations for simple tracer mixing (e.g., dust) |
|---|
| 503 | do ig=1,ngrid |
|---|
| 504 | zq(ig,1,iq)=zcq(ig,1) |
|---|
| 505 | end do |
|---|
| 506 | |
|---|
| 507 | do ilay=2,nlay |
|---|
| 508 | do ig=1,ngrid |
|---|
| 509 | zq(ig,ilay,iq)=zcq(ig,ilay)+ |
|---|
| 510 | $ zdq(ig,ilay)*zq(ig,ilay-1,iq) |
|---|
| 511 | end do |
|---|
| 512 | end do |
|---|
| 513 | |
|---|
| 514 | endif ! if (iq.ne.igcm_h2o_vap) |
|---|
| 515 | |
|---|
| 516 | ! Calculate temperature tendency including latent heat term |
|---|
| 517 | ! and assuming an infinite source of water on the ground |
|---|
| 518 | ! ------------------------------------------------------------------ |
|---|
| 519 | |
|---|
| 520 | if (water.and.(iq.eq.igcm_h2o_vap)) then |
|---|
| 521 | |
|---|
| 522 | ! compute evaporation efficiency |
|---|
| 523 | do ig = 1, ngrid |
|---|
| 524 | if(rnat(ig).eq.1)then |
|---|
| 525 | dryness(ig)=pqsurf(ig,ivap)+pqsurf(ig,iice) |
|---|
| 526 | dryness(ig)=MIN(1.,2*dryness(ig)/mx_eau_sol) |
|---|
| 527 | dryness(ig)=MAX(0.,dryness(ig)) |
|---|
| 528 | endif |
|---|
| 529 | enddo |
|---|
| 530 | |
|---|
| 531 | do ig=1,ngrid |
|---|
| 532 | |
|---|
| 533 | ! Calculate the value of qsat at the surface (water) |
|---|
| 534 | call watersat(ptsrf(ig),pplev(ig,1),qsat(ig)) |
|---|
| 535 | call watersat(ptsrf(ig)-0.0001,pplev(ig,1),qsat_temp1) |
|---|
| 536 | call watersat(ptsrf(ig)+0.0001,pplev(ig,1),qsat_temp2) |
|---|
| 537 | dqsat(ig)=(qsat_temp2-qsat_temp1)/0.0002 |
|---|
| 538 | ! calculate dQsat / dT by finite differences |
|---|
| 539 | ! we cannot use the updated temperature value yet... |
|---|
| 540 | |
|---|
| 541 | enddo |
|---|
| 542 | |
|---|
| 543 | ! coefficients for q |
|---|
| 544 | |
|---|
| 545 | do ig=1,ngrid |
|---|
| 546 | z1(ig)=1./(za(ig,nlay)+zb(ig,nlay)) |
|---|
| 547 | zcq(ig,nlay)=za(ig,nlay)*zq(ig,nlay,iq)*z1(ig) |
|---|
| 548 | zdq(ig,nlay)=zb(ig,nlay)*z1(ig) |
|---|
| 549 | enddo |
|---|
| 550 | |
|---|
| 551 | do ilay=nlay-1,2,-1 |
|---|
| 552 | do ig=1,ngrid |
|---|
| 553 | z1(ig)=1./(za(ig,ilay)+zb(ig,ilay)+ |
|---|
| 554 | $ zb(ig,ilay+1)*(1.-zdq(ig,ilay+1))) |
|---|
| 555 | zcq(ig,ilay)=(za(ig,ilay)*zq(ig,ilay,iq)+ |
|---|
| 556 | $ zb(ig,ilay+1)*zcq(ig,ilay+1))*z1(ig) |
|---|
| 557 | zdq(ig,ilay)=zb(ig,ilay)*z1(ig) |
|---|
| 558 | enddo |
|---|
| 559 | enddo |
|---|
| 560 | |
|---|
| 561 | do ig=1,ngrid |
|---|
| 562 | z1(ig)=1./(za(ig,1)+zb(ig,1)*dryness(ig)+ |
|---|
| 563 | $ zb(ig,2)*(1.-zdq(ig,2))) |
|---|
| 564 | zcq(ig,1)=(za(ig,1)*zq(ig,1,iq)+ |
|---|
| 565 | $ zb(ig,2)*zcq(ig,2))*z1(ig) |
|---|
| 566 | zdq(ig,1)=dryness(ig)*zb(ig,1)*z1(ig) |
|---|
| 567 | enddo |
|---|
| 568 | |
|---|
| 569 | ! calculation of h0 and h1 |
|---|
| 570 | do ig=1,ngrid |
|---|
| 571 | zdq0(ig) = dqsat(ig) |
|---|
| 572 | zcq0(ig) = qsat(ig)-dqsat(ig)*ptsrf(ig) |
|---|
| 573 | |
|---|
| 574 | z1(ig) = pcapcal(ig)*ptsrf(ig) +cpp*zb(ig,1)*zc(ig,1) |
|---|
| 575 | & + zdplanck(ig)*ptsrf(ig) + pfluxsrf(ig)*ptimestep |
|---|
| 576 | & + zb(ig,1)*dryness(ig)*RLVTT* |
|---|
| 577 | & ((zdq(ig,1)-1.0)*zcq0(ig)+zcq(ig,1)) |
|---|
| 578 | |
|---|
| 579 | z2(ig) = pcapcal(ig) + cpp*zb(ig,1)*(1.-zd(ig,1)) |
|---|
| 580 | & +zdplanck(ig) |
|---|
| 581 | & +zb(ig,1)*dryness(ig)*RLVTT*zdq0(ig)* |
|---|
| 582 | & (1.0-zdq(ig,1)) |
|---|
| 583 | |
|---|
| 584 | ztsrf2(ig) = z1(ig) / z2(ig) |
|---|
| 585 | pdtsrf(ig) = (ztsrf2(ig) - ptsrf(ig))/ptimestep |
|---|
| 586 | zh(ig,1) = zc(ig,1) + zd(ig,1)*ztsrf2(ig) |
|---|
| 587 | enddo |
|---|
| 588 | |
|---|
| 589 | ! calculation of qs and q1 |
|---|
| 590 | do ig=1,ngrid |
|---|
| 591 | zq0(ig) = zcq0(ig)+zdq0(ig)*ztsrf2(ig) |
|---|
| 592 | zq(ig,1,iq) = zcq(ig,1)+zdq(ig,1)*zq0(ig) |
|---|
| 593 | enddo |
|---|
| 594 | |
|---|
| 595 | ! calculation of evaporation |
|---|
| 596 | do ig=1,ngrid |
|---|
| 597 | evap(ig)= zb(ig,1)*dryness(ig)*(zq(ig,1,ivap)-zq0(ig)) |
|---|
| 598 | dqsdif_total(ig)=evap(ig) |
|---|
| 599 | enddo |
|---|
| 600 | |
|---|
| 601 | ! recalculate temperature and q(vap) to top of atmosphere, starting from ground |
|---|
| 602 | do ilay=2,nlay |
|---|
| 603 | do ig=1,ngrid |
|---|
| 604 | zq(ig,ilay,iq)=zcq(ig,ilay) |
|---|
| 605 | & +zdq(ig,ilay)*zq(ig,ilay-1,iq) |
|---|
| 606 | zh(ig,ilay)=zc(ig,ilay)+zd(ig,ilay)*zh(ig,ilay-1) |
|---|
| 607 | end do |
|---|
| 608 | end do |
|---|
| 609 | |
|---|
| 610 | do ig=1,ngrid |
|---|
| 611 | |
|---|
| 612 | ! -------------------------------------------------------------------------- |
|---|
| 613 | ! On the ocean, if T > 0 C then the vapour tendency must replace the ice one |
|---|
| 614 | ! The surface vapour tracer is actually liquid. To make things difficult. |
|---|
| 615 | |
|---|
| 616 | if (rnat(ig).eq.0) then ! unfrozen ocean |
|---|
| 617 | |
|---|
| 618 | pdqsdif(ig,ivap)=dqsdif_total(ig)/ptimestep |
|---|
| 619 | pdqsdif(ig,iice)=0.0 |
|---|
| 620 | |
|---|
| 621 | |
|---|
| 622 | elseif (rnat(ig).eq.1) then ! (continent) |
|---|
| 623 | |
|---|
| 624 | ! -------------------------------------------------------- |
|---|
| 625 | ! Now check if we've taken too much water from the surface |
|---|
| 626 | ! This can only occur on the continent |
|---|
| 627 | |
|---|
| 628 | ! If water is evaporating / subliming, we take it from ice before liquid |
|---|
| 629 | ! -- is this valid?? |
|---|
| 630 | if(dqsdif_total(ig).lt.0)then |
|---|
| 631 | pdqsdif(ig,iice)=dqsdif_total(ig)/ptimestep |
|---|
| 632 | pdqsdif(ig,iice)=max(-pqsurf(ig,iice)/ptimestep |
|---|
| 633 | & ,pdqsdif(ig,iice)) |
|---|
| 634 | endif |
|---|
| 635 | ! sublimation only greater than qsurf(ice) |
|---|
| 636 | ! ---------------------------------------- |
|---|
| 637 | ! we just convert some liquid to vapour too |
|---|
| 638 | ! if latent heats are the same, no big deal |
|---|
| 639 | if (-dqsdif_total(ig).gt.pqsurf(ig,iice))then |
|---|
| 640 | pdqsdif(ig,iice) = -pqsurf(ig,iice)/ptimestep ! removes all the ice! |
|---|
| 641 | pdqsdif(ig,ivap) = dqsdif_total(ig)/ptimestep |
|---|
| 642 | & - pdqsdif(ig,iice) ! take the remainder from the liquid instead |
|---|
| 643 | pdqsdif(ig,ivap) = max(-pqsurf(ig,ivap)/ptimestep |
|---|
| 644 | & ,pdqsdif(ig,ivap)) |
|---|
| 645 | endif |
|---|
| 646 | |
|---|
| 647 | endif ! if (rnat.ne.1) |
|---|
| 648 | |
|---|
| 649 | ! If water vapour is condensing, we must decide whether it forms ice or liquid. |
|---|
| 650 | if(dqsdif_total(ig).gt.0)then ! a bug was here! |
|---|
| 651 | if(ztsrf2(ig).gt.To)then |
|---|
| 652 | pdqsdif(ig,iice)=0.0 |
|---|
| 653 | pdqsdif(ig,ivap)=dqsdif_total(ig)/ptimestep |
|---|
| 654 | else |
|---|
| 655 | pdqsdif(ig,iice)=dqsdif_total(ig)/ptimestep |
|---|
| 656 | pdqsdif(ig,ivap)=0.0 |
|---|
| 657 | endif |
|---|
| 658 | endif |
|---|
| 659 | |
|---|
| 660 | end do ! of DO ig=1,ngrid |
|---|
| 661 | endif ! if (water et iq=ivap) |
|---|
| 662 | end do ! of do iq=1,nq |
|---|
| 663 | endif ! traceur |
|---|
| 664 | |
|---|
| 665 | |
|---|
| 666 | !----------------------------------------------------------------------- |
|---|
| 667 | ! 8. Final calculation of the vertical diffusion tendencies |
|---|
| 668 | ! ----------------------------------------------------------------- |
|---|
| 669 | |
|---|
| 670 | do ilev = 1, nlay |
|---|
| 671 | do ig=1,ngrid |
|---|
| 672 | pdudif(ig,ilev)=(zu(ig,ilev)- |
|---|
| 673 | & (pu(ig,ilev)+pdufi(ig,ilev)*ptimestep))/ptimestep |
|---|
| 674 | pdvdif(ig,ilev)=(zv(ig,ilev)- |
|---|
| 675 | & (pv(ig,ilev)+pdvfi(ig,ilev)*ptimestep))/ptimestep |
|---|
| 676 | hh = ph(ig,ilev)+pdhfi(ig,ilev)*ptimestep |
|---|
| 677 | |
|---|
| 678 | pdhdif(ig,ilev)=( zh(ig,ilev)- hh )/ptimestep |
|---|
| 679 | enddo |
|---|
| 680 | enddo |
|---|
| 681 | |
|---|
| 682 | if (tracer) then |
|---|
| 683 | do iq = 1, nq |
|---|
| 684 | do ilev = 1, nlay |
|---|
| 685 | do ig=1,ngrid |
|---|
| 686 | pdqdif(ig,ilev,iq)=(zq(ig,ilev,iq)- |
|---|
| 687 | & (pq(ig,ilev,iq)+pdqfi(ig,ilev,iq)*ptimestep))/ |
|---|
| 688 | & ptimestep |
|---|
| 689 | enddo |
|---|
| 690 | enddo |
|---|
| 691 | enddo |
|---|
| 692 | |
|---|
| 693 | if(water.and.forceWC)then ! force water conservation in model |
|---|
| 694 | ! we calculate the difference and add it to the ground |
|---|
| 695 | ! this is ugly and should be improved in the future |
|---|
| 696 | do ig=1,ngrid |
|---|
| 697 | Wtot=0.0 |
|---|
| 698 | do ilay=1,nlay |
|---|
| 699 | masse = (pplev(ig,ilay) - pplev(ig,ilay+1))/g |
|---|
| 700 | ! Wtot=Wtot+masse*(zq(ig,ilay,iice)- |
|---|
| 701 | ! & (pq(ig,ilay,iice)+pdqfi(ig,ilay,iice)*ptimestep)) |
|---|
| 702 | Wtot=Wtot+masse*(zq(ig,ilay,ivap)- |
|---|
| 703 | & (pq(ig,ilay,ivap)+pdqfi(ig,ilay,ivap)*ptimestep)) |
|---|
| 704 | enddo |
|---|
| 705 | Wdiff=Wtot/ptimestep+pdqsdif(ig,ivap)+pdqsdif(ig,iice) |
|---|
| 706 | |
|---|
| 707 | if(ztsrf2(ig).gt.To)then |
|---|
| 708 | pdqsdif(ig,ivap)=pdqsdif(ig,ivap)-Wdiff |
|---|
| 709 | else |
|---|
| 710 | pdqsdif(ig,iice)=pdqsdif(ig,iice)-Wdiff |
|---|
| 711 | endif |
|---|
| 712 | enddo |
|---|
| 713 | |
|---|
| 714 | endif |
|---|
| 715 | |
|---|
| 716 | endif |
|---|
| 717 | |
|---|
| 718 | if(water)then |
|---|
| 719 | call writediagfi(ngrid,'beta','Dryness coefficient',' ',2,dryness) |
|---|
| 720 | endif |
|---|
| 721 | |
|---|
| 722 | return |
|---|
| 723 | end |
|---|