| 1 | SUBROUTINE newsedim(ngrid,nlay,naersize,ptimestep, |
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| 2 | & pplev,masse,epaisseur,pt,rd,rho,pqi,wq,iq) |
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| 3 | |
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| 4 | use ioipsl_getin_p_mod, only: getin_p |
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| 5 | use comcstfi_mod, only: r, g |
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| 6 | use gases_h |
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| 7 | use tracer_h, only : igcm_h2o_ice |
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| 8 | use watercommon_h, only: T_h2O_ice_liq,T_h2O_ice_clouds |
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| 9 | use radii_mod, only: h2o_cloudrad |
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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 | ! Calculates sedimentation of 1 tracer |
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| 18 | ! of radius rd (m) and density rho (kg.m-3) |
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| 19 | ! |
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| 20 | !================================================================== |
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| 21 | |
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| 22 | !----------------------------------------------------------------------- |
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| 23 | ! declarations |
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| 24 | ! ------------ |
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| 25 | |
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| 26 | ! arguments |
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| 27 | ! --------- |
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| 28 | |
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| 29 | integer,intent(in) :: ngrid ! number of atmospheric columns |
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| 30 | integer,intent(in) :: nlay ! number of atmospheric layers |
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| 31 | integer,intent(in) :: naersize ! number of particle sizes (1 or number |
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| 32 | ! of grid boxes) |
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| 33 | real,intent(in) :: ptimestep ! physics time step (s) |
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| 34 | real,intent(in) :: pplev(ngrid,nlay+1) ! inter-layer pressures (Pa) |
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| 35 | real,intent(in) :: pt(ngrid,nlay) ! mid-layer temperatures (K) |
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| 36 | real,intent(in) :: masse (ngrid,nlay) ! atmospheric mass (kg) |
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| 37 | real,intent(in) :: epaisseur (ngrid,nlay) ! thickness of atm. layers (m) |
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| 38 | real,intent(in) :: rd(naersize) ! particle radius (m) |
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| 39 | real,intent(in) :: rho ! particle density (kg.m-3) |
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| 40 | real,intent(inout) :: pqi(ngrid,nlay) ! tracer (e.g. ?/kg) |
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| 41 | real,intent(out) :: wq(ngrid,nlay+1) ! flux of tracer during timestep (?/m-2) |
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| 42 | integer,intent(in) :: iq ! tracer index |
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| 43 | |
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| 44 | c local: |
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| 45 | c ------ |
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| 46 | |
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| 47 | INTEGER l,ig, k, i, igas |
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| 48 | REAL rfall, rsurf, Reynolds, Cd, zfrac |
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| 49 | REAL reffh2oliq(ngrid,nlay), reffh2oice(ngrid,nlay) |
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| 50 | |
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| 51 | LOGICAL,SAVE :: firstcall=.true. |
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| 52 | !$OMP THREADPRIVATE(firstcall) |
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| 53 | LOGICAL,SAVE :: crystal_shape |
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| 54 | !$OMP THREADPRIVATE(crystal_shape) |
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| 55 | |
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| 56 | c Traceurs : |
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| 57 | c ~~~~~~~~ |
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| 58 | real traversee (ngrid,nlay) |
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| 59 | real vstokes(ngrid,nlay) |
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| 60 | real w(ngrid,nlay) |
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| 61 | real ptop, dztop, Ep, Stra |
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| 62 | |
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| 63 | |
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| 64 | c Physical constant |
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| 65 | c ~~~~~~~~~~~~~~~~~ |
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| 66 | c Gas molecular viscosity (N.s.m-2) |
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| 67 | real, allocatable, save :: visc(:,:) |
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| 68 | !$OMP THREADPRIVATE(visc) |
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| 69 | c Effective gas molecular radius (m) |
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| 70 | real,save :: molrad |
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| 71 | |
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| 72 | c local and saved variable |
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| 73 | real,save :: a,b |
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| 74 | !$OMP THREADPRIVATE(a,b) |
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| 75 | |
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| 76 | c ** un petit test de coherence |
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| 77 | c -------------------------- |
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| 78 | |
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| 79 | !print*,'temporary fixed particle rad in newsedim!!' |
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| 80 | |
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| 81 | IF (firstcall) THEN |
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| 82 | firstcall=.false. |
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| 83 | |
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| 84 | c Determination of the viscosity a(N.s.m-2) and the mean molecular radius (m) |
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| 85 | write(*,*) "Calculation of the viscosity and the mean molecular" |
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| 86 | & ," radius from gases.def" |
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| 87 | allocate(visc(ngrid,nlay)) |
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| 88 | visc(:,:)=0.0 |
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| 89 | molrad=0. |
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| 90 | do igas=1, ngasmx |
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| 91 | if(gfrac(igas).ge.0.0) then |
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| 92 | if(igas.eq.igas_CO2) then |
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| 93 | molrad = molrad + gfrac(igas)*2.2e-10 ! CO2 |
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| 94 | visc(:,:) = visc(:,:) + gfrac(igas)*1.0e-5 ! CO2 |
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| 95 | elseif(igas.eq.igas_N2) then |
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| 96 | molrad = molrad + gfrac(igas)*1.8e-10 ! N2 (Kunze et al. 2022) |
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| 97 | visc(:,:) = visc(:,:) + gfrac(igas)*1.0e-5 ! N2 |
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| 98 | elseif(igas.eq.igas_H2) then |
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| 99 | molrad = molrad + gfrac(igas)*1.41e-10 ! H2 (Ackerman & Marley 2001) |
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| 100 | visc(:,:) = visc(:,:) + gfrac(igas)*2.0d-07*pt(:,:)**0.66 ! H2 (from Rosner 2000) |
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| 101 | elseif(igas.eq.igas_H2O) then |
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| 102 | molrad = molrad + gfrac(igas)*2.3e-10 ! H2O (Crifo 1989 at 300K) |
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| 103 | visc(:,:) = visc(:,:) + gfrac(igas)*8e-6 ! H2O (Sengers & Kamgar-Parsi 1984) |
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| 104 | elseif(igas.eq.igas_He) then |
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| 105 | molrad = molrad + gfrac(igas)*1.1e-10 ! He (Kunze et al. 2022) |
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| 106 | visc(:,:) = visc(:,:) + ! He |
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| 107 | & gfrac(igas)*1.9e-5*(pt(:,:)/273.15)**0.7 ! He (Petersen 1970) |
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| 108 | elseif(igas.eq.igas_CH4) then |
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| 109 | molrad = molrad + gfrac(igas)*1.9e-10 ! CH4 (Ismail et al. 2015) |
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| 110 | visc(:,:) = visc(:,:) + gfrac(igas)*1.0e-5 ! CH4 |
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| 111 | else |
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| 112 | molrad = molrad + gfrac(igas)*2.2e-10 ! CO2 by default |
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| 113 | visc(:,:) = visc(:,:) + gfrac(igas)*1.e-5 ! CO2 by default |
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| 114 | write(*,*) trim(gnom(igas))," is not included in" |
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| 115 | & ," newsedim, CO2 is used by default" |
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| 116 | endif |
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| 117 | endif |
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| 118 | enddo |
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| 119 | write(*,*) "visc(1,1)=",visc(1,1),"N.s.m-2; ", |
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| 120 | & "molrad=",molrad,"m" |
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| 121 | |
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| 122 | c Correction for non-spherical water ice particles |
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| 123 | write(*,*) "Use non-spherical water ice particles", |
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| 124 | & " for the sedimentation ?" |
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| 125 | crystal_shape=.false. !default |
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| 126 | call getin_p("crystal_shape",crystal_shape) |
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| 127 | write(*,*) " crystal_shape = ",crystal_shape |
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| 128 | |
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| 129 | |
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| 130 | !======================================================================= |
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| 131 | ! Preliminary calculations for sedimenation velocity |
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| 132 | |
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| 133 | ! - Constant to compute stokes speed simple formulae |
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| 134 | ! (Vstokes = b / visc * rho* r**2 avec b= (2/9) * rho * g |
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| 135 | b = 2./9. * g |
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| 136 | |
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| 137 | ! - Constant to compute gas mean free path |
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| 138 | ! l= (T/P)*a, avec a = ( 0.707*8.31/(4*pi*molrad**2 * avogadro)) |
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| 139 | a = 0.707*8.31/(4*3.1416* molrad**2 * 6.023e23) |
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| 140 | |
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| 141 | c - Correction to account for non-spherical shape (Murphy et al. 1990) |
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| 142 | c (correction = 0.85 for irregular particles, 0.5 for disk shaped particles) |
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| 143 | c a = a * 0.85 |
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| 144 | |
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| 145 | |
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| 146 | ENDIF |
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| 147 | |
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| 148 | c----------------------------------------------------------------------- |
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| 149 | c 1. initialisation |
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| 150 | c ----------------- |
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| 151 | |
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| 152 | c Sedimentation velocity (m/s) |
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| 153 | c ~~~~~~~~~~~~~~~~~~~~~~ |
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| 154 | c (stokes law corrected for low pressure by the Cunningham |
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| 155 | c slip-flow correction according to Rossow (Icarus 36, 1-50, 1978) |
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| 156 | |
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| 157 | c Compute liquid and ice particle radii |
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| 158 | if((iq.eq.igcm_h2o_ice).and.crystal_shape) then |
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| 159 | call h2o_cloudrad(ngrid,nlay,pqi,reffh2oliq,reffh2oice) |
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| 160 | endif |
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| 161 | |
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| 162 | |
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| 163 | do l=1,nlay |
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| 164 | do ig=1, ngrid |
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| 165 | if (naersize.eq.1) then |
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| 166 | rfall=rd(1) |
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| 167 | else |
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| 168 | i=ngrid*(l-1)+ig |
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| 169 | rfall=rd(i) ! how can this be correct!!? |
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| 170 | endif |
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| 171 | |
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| 172 | c Correction for non-spherical water ice particles |
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| 173 | if((iq.eq.igcm_h2o_ice).and.crystal_shape) then |
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| 174 | zfrac= (pt(ig,l)-T_h2O_ice_clouds) / |
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| 175 | & (T_h2O_ice_liq-T_h2O_ice_clouds) |
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| 176 | zfrac= MAX(zfrac, 0.0) |
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| 177 | zfrac= MIN(zfrac, 1.0) |
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| 178 | rsurf=max(reffh2oice(ig,l),45.6*reffh2oice(ig,l)**1.3) ! surface radius (formula for rimed dendrites from Hemsfield 1977, transition at around 30 microns) |
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| 179 | rsurf=1/(zfrac/reffh2oice(ig,l)+(1-zfrac)/rsurf) ! radius giving the mean velocity between liquid and ice particles |
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| 180 | else |
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| 181 | rsurf=rfall |
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| 182 | endif |
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| 183 | |
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| 184 | vstokes(ig,l) = b / visc(ig,l) * rho * rfall**3 / rsurf * |
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| 185 | & (1 + 1.333* ( a*pt(ig,l)/pplev(ig,l) )/rsurf) |
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| 186 | |
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| 187 | c Correction for high Reynolds number |
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| 188 | Reynolds=2. * pplev(ig,l) / r / pt(ig,l) * |
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| 189 | & rsurf * vstokes(ig,l) / visc(ig,l) |
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| 190 | if(Reynolds.ge.1.0) then |
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| 191 | do i=1,5 |
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| 192 | Cd=24. / Reynolds * (1. + 0.15 * Reynolds**0.687) + |
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| 193 | & 0.42 / (1. + 42500 / Reynolds**1.16) ! (Formula from Bagheri 2018) |
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| 194 | vstokes(ig,l) =(8./3.*pplev(ig,l)/r/pt(ig,l)*g*rfall**3 / |
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| 195 | & rsurf**2/rho/Cd * |
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| 196 | & (1.+1.333*(a*pt(ig,l)/pplev(ig,l))/rsurf))**0.5 |
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| 197 | Reynolds=2. * pplev(ig,l) / r / pt(ig,l) * |
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| 198 | & rsurf * vstokes(ig,l) / visc(ig,l) |
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| 199 | enddo |
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| 200 | endif |
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| 201 | |
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| 202 | c Layer crossing time (s) : |
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| 203 | traversee(ig,l)= epaisseur(ig,l)/vstokes(ig,l) |
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| 204 | end do |
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| 205 | end do |
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| 206 | |
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| 207 | |
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| 208 | c Calcul de la masse d'atmosphere correspondant a q transferee |
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| 209 | c ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
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| 210 | c (e.g. on recherche le niveau en dessous de laquelle le traceur |
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| 211 | c va traverser le niveau intercouche l : "dztop" est sa hauteur |
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| 212 | c au dessus de l (m), "ptop" est sa pression (Pa)) |
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| 213 | do l=1,nlay |
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| 214 | do ig=1, ngrid |
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| 215 | |
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| 216 | dztop = vstokes(ig,l)* ptimestep |
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| 217 | Ep=0 |
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| 218 | k=0 |
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| 219 | w(ig,l) = 0. !! JF+AS ajout initialisation (LK MARS) |
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| 220 | c ************************************************************** |
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| 221 | c Simple Method |
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| 222 | cc w(ig,l) = |
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| 223 | cc & (1- exp(-dztop*g/(r*pt(ig,l))))*pplev(ig,l) / g |
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| 224 | cc write(*,*) 'OK simple method l,w =', l, w(ig,l) |
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| 225 | cc write(*,*) 'OK simple method dztop =', dztop |
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| 226 | w(ig,l) = 1. - exp(-dztop*g/(r*pt(ig,l))) |
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| 227 | !!! Diagnostic: JF. Fix: AS. Date: 05/11 |
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| 228 | !!! Probleme arrondi avec la quantite ci-dessus |
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| 229 | !!! ---> vaut 0 pour -dztop*g/(r*pt(ig,l)) trop petit |
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| 230 | !!! ---> dans ce cas on utilise le developpement limite ! |
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| 231 | !!! ---> exp(-x) = 1 - x lorsque x --> 0 avec une erreur de x^2 / 2 |
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| 232 | |
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| 233 | IF ( w(ig,l) .eq. 0. ) THEN |
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| 234 | w(ig,l) = ( dztop*g/(r*pt(ig,l)) ) * pplev(ig,l) / g |
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| 235 | ELSE |
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| 236 | w(ig,l) = w(ig,l) * pplev(ig,l) / g |
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| 237 | ENDIF |
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| 238 | ! LK borrowed simple method from Mars model (AS/JF) |
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| 239 | |
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| 240 | !************************************************************** |
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| 241 | cccc Complex method : |
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| 242 | if (dztop.gt.epaisseur(ig,l)) then |
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| 243 | cccc Cas ou on "epuise" la couche l : On calcule le flux |
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| 244 | cccc Venant de dessus en tenant compte de la variation de Vstokes |
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| 245 | |
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| 246 | Ep= epaisseur(ig,l) |
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| 247 | Stra= traversee(ig,l) |
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| 248 | do while(dztop.gt.Ep.and.l+k+1.le.nlay) |
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| 249 | k=k+1 |
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| 250 | dztop= Ep + vstokes(ig,l+k)*(ptimestep -Stra) |
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| 251 | Ep = Ep + epaisseur(ig,l+k) |
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| 252 | Stra = Stra + traversee(ig,l+k) |
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| 253 | enddo |
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| 254 | Ep = Ep - epaisseur(ig,l+k) |
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| 255 | ! ptop=pplev(ig,l+k)*exp(-(dztop-Ep)*g/(r*pt(ig,l+k))) |
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| 256 | ptop=exp(-(dztop-Ep)*g/(r*pt(ig,l+k))) |
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| 257 | IF ( ptop .eq. 1. ) THEN |
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| 258 | !PRINT*, 'newsedim: exposant trop petit ', ig, l |
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| 259 | ptop=pplev(ig,l+k) * ( 1. - (dztop-Ep)*g/(r*pt(ig,l+k))) |
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| 260 | ELSE |
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| 261 | ptop=pplev(ig,l+k) * ptop |
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| 262 | ENDIF |
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| 263 | |
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| 264 | w(ig,l) = (pplev(ig,l) - ptop)/g |
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| 265 | |
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| 266 | endif !!! complex method |
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| 267 | c |
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| 268 | cc write(*,*) 'OK new method l,w =', l, w(ig,l) |
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| 269 | cc write(*,*) 'OK new method dztop =', dztop |
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| 270 | cc if(l.eq.7)write(*,*)'l=7,k,pplev,Ptop',pplev(ig,l),Ptop |
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| 271 | cc if(l.eq.7)write(*,*)'l=7,dztop,Ep',dztop,Ep |
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| 272 | cc if(l.eq.6)write(*,*)'l=6,k, w',k, w(1,l) |
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| 273 | cc if(l.eq.7)write(*,*)'l=7,k, w',k, w(1,l) |
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| 274 | cc if(l.eq.8)write(*,*)'l=8,k, w',k, w(1,l) |
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| 275 | c ************************************************************** |
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| 276 | |
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| 277 | end do |
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| 278 | end do |
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| 279 | |
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| 280 | call vlz_fi(ngrid,nlay,pqi,2.,masse,w,wq) |
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| 281 | c write(*,*) ' newsed: wq(6), wq(7), q(6)', |
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| 282 | c & wq(1,6),wq(1,7),pqi(1,6) |
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| 283 | |
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| 284 | END |
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