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Convection_mod.f90
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Convection_mod.f90
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module Convection_mod
!If subsidence is included, ps3d could actually be any constant (in k), and
! will recover the same value after the subsidience.
!
!In the global report 2010 ps3d=1, and xn_adv is the mixing ratio
!
!We define the mass of pollutant in a level to be proportionnal to xn_adv*dp(k)
!Note that dp(k) is defined as fixed under convection, i.e. the amount of air
!and dp are not consistent during convection, but rather in a transition state.
!In principle we can imagine that the convection is called many times with a
!small dt_conv, but on the other hand this will give instantaneous mixing
!between convection and subsidience, which is not corrrect either
!-----------------------------------------------------------------------------------
use Chemfields_mod, only: xn_adv
use ChemDims_mod, only: NSPEC_ADV
use Config_module, only: KMAX_BND,KMAX_MID,PT,Pref
use MetFields_mod , only: ps,SigmaKz,u_xmj,v_xmi,cnvuf,cnvdf
use GridValues_mod, only: dA, dB, sigma_bnd
use Par_mod, only: LIMAX,LJMAX,limax,ljmax,li0,li1,lj0,lj1
use PhysicalConstants_mod, only: GRAV
public :: convection_pstar!in sigma coordinates
public :: convection_Eta!in more general hybrid coordinates (Eta)
contains
subroutine convection_pstar(ps3d,dt_conv)
implicit none
real ,intent(inout):: ps3d(LIMAX,LJMAX,KMAX_MID),dt_conv
real ::xn_in_core(NSPEC_ADV,KMAX_MID+1)
real ::mass_air_grid(KMAX_MID),mass_air_grid0(KMAX_MID), mass_air_core(KMAX_MID)
real ::mass_exchanged,mass
real :: mass_air_grid_k_temp,xn_buff(NSPEC_ADV,KMAX_MID)
real :: dk(KMAX_MID),dp(KMAX_MID),totdk
integer ::k,i,j,k_fill,k1
do k=1,KMAX_MID
dk(k)=sigma_bnd(k+1)-sigma_bnd(k)
end do
totdk=sigma_bnd(KMAX_MID+1)-sigma_bnd(1)!=1 in sigma coordinates
!UPWARD
do j=lj0,lj1
do i=li0,li1
xn_in_core = 0.0!concentration null below surface
mass=0.0
!
!ps3d=PS-PT=dp/dksi if sigma coordinates
!
!mass(k)=dp/dksi *dksi/g
!
do k=1,KMAX_MID
mass=mass+ps3d(i,j,k)*dk(k)
end do
mass=mass/totdk
do k=1,KMAX_MID
dp(k)=dA(k)+dB(k)*ps(i,j,1)
end do
mass_air_core=0.0
do k=KMAX_MID,1,-1
!-- mass_air=(dp/g)*gridarea
mass_air_grid0(k) =mass ! average density (in /dksi unit). Used only if subsidience is included
mass_air_grid(k) = ps3d(i,j,k)! start density = dp/dksi where ksi is the vertical coordinate
k1=k+1
k1=min(k1,KMAX_MID)
!mass moves from cell k_1 to k_2:
!density (mass_air_core and xn_in_core) changes with a factor of dp(k_2)/dp(k_1)
if(k<KMAX_MID)then
mass_air_core(k)=mass_air_core(k1)*dp(k+1)/dp(k)!flux from below
mass_air_core(k+1)=0.0
xn_in_core(:,k) =xn_in_core(:,k1)*dp(k+1)/dp(k)!flux from below
xn_in_core(:,k+1) =0.0
end if
!fraction of grid moved to core:
! df/(dp/g) df=horizontal flux dp/g= total mass (/m2) in grid
!fraction og core moved to grid:
! df/f1 f1=total mass in core df=part which is exchanged horizontally
!horizontal flux
if(cnvuf(i,j,k+1)-cnvuf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
mass_exchanged=(cnvuf(i,j,k+1)-cnvuf(i,j,k))*GRAV*dt_conv/dp(k)*mass_air_grid(k)
if(mass_exchanged<-mass_air_grid(k))then
!limit fluxes
cnvuf(i,j,k+1)=0.99*dp(k)/(GRAV*dt_conv)+cnvuf(i,j,k+1)!0.99 to determine
mass_exchanged=(cnvuf(i,j,k+1)-cnvuf(i,j,k))*GRAV*dt_conv/dp(k)*mass_air_grid(k)
end if
else
!mass from core to grid - horizontal exchange
mass_exchanged=(cnvuf(i,j,k+1)-cnvuf(i,j,k))/cnvuf(i,j,k+1)*mass_air_core(k)
end if
!horizontal exchange
if(cnvuf(i,j,k+1)-cnvuf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
!NB change xn_in_core before xn_adv
xn_in_core(:,k) = xn_in_core(:,k)-(cnvuf(i,j,k+1)-cnvuf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_core(k)=mass_air_core(k)-mass_exchanged
xn_adv(:,i,j,k)=xn_adv(:,i,j,k)+(cnvuf(i,j,k+1)-cnvuf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
else
!NB change xn_adv before xn_in_core
xn_adv(:,i,j,k)=xn_adv(:,i,j,k)+(cnvuf(i,j,k+1)-cnvuf(i,j,k))/cnvuf(i,j,k+1)*xn_in_core(:,k)
xn_in_core(:,k) = xn_in_core(:,k)-(cnvuf(i,j,k+1)-cnvuf(i,j,k))/cnvuf(i,j,k+1)*xn_in_core(:,k)
mass_air_core(k)=mass_air_core(k)-mass_exchanged
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
end if
end do
!DOWNWARD
if(.true.)then
mass_air_core=0.0
xn_in_core=0.0
do k=1,KMAX_MID
!-- mass_air=(dp/g)*gridarea
k1=k+1
k1=min(k1,KMAX_MID)
xn_in_core(:,k) = 0.0
!vertical exchange
if(k>1)then
mass_air_core(k)=mass_air_core(k-1)*dp(k-1)/dp(k)!flux from above
mass_air_core(k-1)=0.0
xn_in_core(:,k) = xn_in_core(:,k-1)*dp(k-1)/dp(k)!flux from above
xn_in_core(:,k-1) =0.0
end if
if(cnvdf(i,j,k+1)-cnvdf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
mass_exchanged=(cnvdf(i,j,k+1)-cnvdf(i,j,k))*mass_air_grid(k)*GRAV*dt_conv/dp(k)
if(mass_exchanged<-mass_air_grid(k))then
!limit fluxes
cnvdf(i,j,k+1)=-0.99*dp(k)/(GRAV*dt_conv)+cnvdf(i,j,k)!0.99 to determine
mass_exchanged=(cnvdf(i,j,k+1)-cnvdf(i,j,k))*mass_air_grid(k)*GRAV*dt_conv/dp(k)
end if
else
!NB: cnvdf < 0
mass_exchanged=-(cnvdf(i,j,k+1)-cnvdf(i,j,k))/cnvdf(i,j,k)*mass_air_core(k)
end if
!horizontal exchange
!NB: cnvdf < 0
if(cnvdf(i,j,k+1)-cnvdf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
!NB change xn_in_core before xn_adv
xn_in_core(:,k) = xn_in_core(:,k)-(cnvdf(i,j,k+1)-cnvdf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_core(k)=mass_air_core(k)-mass_exchanged
xn_adv(:,i,j,k)= xn_adv(:,i,j,k)+(cnvdf(i,j,k+1)-cnvdf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
else
!mass from core to grid - horizontal exchange
!NB change xn_adv before xn_in_core
xn_adv(:,i,j,k) = xn_adv(:,i,j,k)-(cnvdf(i,j,k+1)-cnvdf(i,j,k))/cnvdf(i,j,k)*xn_in_core(:,k)
xn_in_core(:,k) = xn_in_core(:,k)+(cnvdf(i,j,k+1)-cnvdf(i,j,k))/cnvdf(i,j,k)*xn_in_core(:,k)
mass_air_core(k) = mass_air_core(k)-mass_exchanged
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
end if
end do
end if
if(.true.)then
!diffusion free method
!distribute mass among level starting from top
!Allows "CFL number" larger than 1
k_fill=1
do k=1,KMAX_MID
mass_air_grid_k_temp=0.0
!fill level k with available mass
!put new xn_adv in xn_buff because xn_adv should not be changed while still used
xn_buff(:,k) = 0.0
do while (mass_air_grid_k_temp +mass_air_grid(k_fill)*dk(k_fill) <mass_air_grid0(k)*dk(k).and.k_fill<KMAX_MID)
xn_buff(:,k) = xn_buff(:,k)+ xn_adv(:,i,j,k_fill)*dk(k_fill)
xn_adv(:,i,j,k_fill) = 0.0
mass_air_grid_k_temp=mass_air_grid_k_temp+mass_air_grid(k_fill)*dk(k_fill)
mass_air_grid(k_fill)=mass_air_grid(k_fill)-mass_air_grid(k_fill)!ZERO
k_fill=k_fill+1
end do
xn_buff(:,k)=xn_buff(:,k)+ xn_adv(:,i,j,k_fill)*dk(k_fill)*&
(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp)/(mass_air_grid(k_fill)*dk(k_fill))
xn_adv(:,i,j,k_fill) = xn_adv(:,i,j,k_fill)- xn_adv(:,i,j,k_fill)*&
(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp)/(mass_air_grid(k_fill)*dk(k_fill))
mass_air_grid(k_fill)=mass_air_grid(k_fill)-&
(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp)/dk(k_fill)
ps3d(i,j,k) = mass_air_grid0(k)!=(mass_air_grid_k_temp+(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp))/dk(k)
end do
do k=1,KMAX_MID
xn_adv(:,i,j,k)=xn_buff(:,k)/dk(k)
end do
!check that all mass is distributed
! if(abs(mass_air_grid(k_fill))>1.0.or.k_fill/=KMAX_MID)then
! if(ME==0)write(*,*)'ERRORMASS',ME,i,j,k_fill,mass_air_grid(k_fill),mass_air_grid_k_temp,mass_air_grid0(k)
! end if
else
do k=1,KMAX_MID
ps3d(i,j,k) = mass_air_grid(k)
end do
end if
end do
end do
end subroutine convection_pstar
subroutine convection_Eta(dpdeta,dt_conv)
implicit none
real ,intent(inout):: dpdeta(LIMAX,LJMAX,KMAX_MID),dt_conv
real ::xn_in_core(NSPEC_ADV,KMAX_MID+1)
real ::mass_air_grid(KMAX_MID),mass_air_grid0(KMAX_MID), mass_air_core(KMAX_MID)
real ::mass_exchanged,mass
real :: mass_air_grid_k_temp,xn_buff(NSPEC_ADV,KMAX_MID)
real :: dk(KMAX_MID),dp(KMAX_MID),totdk
integer ::k,i,j,k_fill,k1
INCLUDE 'mpif.h'
totdk=0.0
do k=1,KMAX_MID
dk(k)=dA(k)/Pref+dB(k)
totdk=totdk+dk(k)
end do
!UPWARD
do j=lj0,lj1
do i=li0,li1
xn_in_core = 0.0!concentration null below surface
mass=0.0
!
!ps3d=PS-PT=dp/dksi if sigma coordinates
!
!mass(k)=dp/dksi *dksi/g
!
do k=1,KMAX_MID
mass=mass+dpdeta(i,j,k)*dk(k)
end do
mass=mass/totdk
do k=1,KMAX_MID
dp(k)=dA(k)+dB(k)*ps(i,j,1)
end do
mass_air_core=0.0
do k=KMAX_MID,1,-1
!-- mass_air=(dp/g)*gridarea
mass_air_grid0(k) =mass ! average density (in /dksi unit). Used only if subsidience is included
mass_air_grid(k) = dpdeta(i,j,k)! start density = dp/dksi where ksi is the vertical coordinate
k1=k+1
k1=min(k1,KMAX_MID)
!mass moves from cell k_1 to k_2:
!density (mass_air_core and xn_in_core) changes with a factor of dp(k_2)/dp(k_1)
if(k<KMAX_MID)then
mass_air_core(k)=mass_air_core(k1)*dp(k+1)/dp(k)!flux from below
mass_air_core(k+1)=0.0
xn_in_core(:,k) =xn_in_core(:,k1)*dp(k+1)/dp(k)!flux from below
xn_in_core(:,k+1) =0.0
end if
!fraction of grid moved to core:
! df/(dp/g) df=horizontal flux dp/g= total mass (/m2) in grid
!fraction og core moved to grid:
! df/f1 f1=total mass in core df=part which is exchanged horizontally
!horizontal flux
if(cnvuf(i,j,k+1)-cnvuf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
mass_exchanged=(cnvuf(i,j,k+1)-cnvuf(i,j,k))*GRAV*dt_conv/dp(k)*mass_air_grid(k)
if(mass_exchanged<-mass_air_grid(k))then
!limit fluxes
cnvuf(i,j,k+1)=0.99*dp(k)/(GRAV*dt_conv)+cnvuf(i,j,k+1)!0.99 to determine
mass_exchanged=(cnvuf(i,j,k+1)-cnvuf(i,j,k))*GRAV*dt_conv/dp(k)*mass_air_grid(k)
end if
else
!mass from core to grid - horizontal exchange
mass_exchanged=(cnvuf(i,j,k+1)-cnvuf(i,j,k))/cnvuf(i,j,k+1)*mass_air_core(k)
end if
!horizontal exchange
if(cnvuf(i,j,k+1)-cnvuf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
!NB change xn_in_core before xn_adv
xn_in_core(:,k) = xn_in_core(:,k)-(cnvuf(i,j,k+1)-cnvuf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_core(k)=mass_air_core(k)-mass_exchanged
xn_adv(:,i,j,k)=xn_adv(:,i,j,k)+(cnvuf(i,j,k+1)-cnvuf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
else
!NB change xn_adv before xn_in_core
xn_adv(:,i,j,k)=xn_adv(:,i,j,k)+(cnvuf(i,j,k+1)-cnvuf(i,j,k))/cnvuf(i,j,k+1)*xn_in_core(:,k)
xn_in_core(:,k) = xn_in_core(:,k)-(cnvuf(i,j,k+1)-cnvuf(i,j,k))/cnvuf(i,j,k+1)*xn_in_core(:,k)
mass_air_core(k)=mass_air_core(k)-mass_exchanged
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
end if
end do
!DOWNWARD
if(.true.)then
mass_air_core=0.0
xn_in_core=0.0
do k=1,KMAX_MID
!-- mass_air=(dp/g)*gridarea
k1=k+1
k1=min(k1,KMAX_MID)
xn_in_core(:,k) = 0.0
!vertical exchange
if(k>1)then
mass_air_core(k)=mass_air_core(k-1)*dp(k-1)/dp(k)!flux from above
mass_air_core(k-1)=0.0
xn_in_core(:,k) = xn_in_core(:,k-1)*dp(k-1)/dp(k)!flux from above
xn_in_core(:,k-1) =0.0
end if
if(cnvdf(i,j,k+1)-cnvdf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
mass_exchanged=(cnvdf(i,j,k+1)-cnvdf(i,j,k))*mass_air_grid(k)*GRAV*dt_conv/dp(k)
if(mass_exchanged<-mass_air_grid(k))then
!limit fluxes
cnvdf(i,j,k+1)=-0.99*dp(k)/(GRAV*dt_conv)+cnvdf(i,j,k)!0.99 to determine
mass_exchanged=(cnvdf(i,j,k+1)-cnvdf(i,j,k))*mass_air_grid(k)*GRAV*dt_conv/dp(k)
end if
else
!NB: cnvdf < 0
mass_exchanged=-(cnvdf(i,j,k+1)-cnvdf(i,j,k))/cnvdf(i,j,k)*mass_air_core(k)
end if
!horizontal exchange
!NB: cnvdf < 0
if(cnvdf(i,j,k+1)-cnvdf(i,j,k)<=0.0)then
!mass from grid to core - horizontal exchange
!NB change xn_in_core before xn_adv
xn_in_core(:,k) = xn_in_core(:,k)-(cnvdf(i,j,k+1)-cnvdf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_core(k)=mass_air_core(k)-mass_exchanged
xn_adv(:,i,j,k)= xn_adv(:,i,j,k)+(cnvdf(i,j,k+1)-cnvdf(i,j,k))*xn_adv(:,i,j,k)*GRAV*dt_conv/dp(k)
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
else
!mass from core to grid - horizontal exchange
!NB change xn_adv before xn_in_core
xn_adv(:,i,j,k) = xn_adv(:,i,j,k)-(cnvdf(i,j,k+1)-cnvdf(i,j,k))/cnvdf(i,j,k)*xn_in_core(:,k)
xn_in_core(:,k) = xn_in_core(:,k)+(cnvdf(i,j,k+1)-cnvdf(i,j,k))/cnvdf(i,j,k)*xn_in_core(:,k)
mass_air_core(k) = mass_air_core(k)-mass_exchanged
mass_air_grid(k) = mass_air_grid(k)+mass_exchanged
end if
end do
end if
if(.true.)then
!diffusion free method
!distribute mass among level starting from top
!Allows "CFL number" larger than 1
k_fill=1
do k=1,KMAX_MID
mass_air_grid_k_temp=0.0
!fill level k with available mass
!put new xn_adv in xn_buff because xn_adv should not be changed while still used
xn_buff(:,k) = 0.0
do while (mass_air_grid_k_temp +mass_air_grid(k_fill)*dk(k_fill) <mass_air_grid0(k)*dk(k).and.k_fill<KMAX_MID)
xn_buff(:,k) = xn_buff(:,k)+ xn_adv(:,i,j,k_fill)*dk(k_fill)
xn_adv(:,i,j,k_fill) = 0.0
mass_air_grid_k_temp=mass_air_grid_k_temp+mass_air_grid(k_fill)*dk(k_fill)
mass_air_grid(k_fill)=mass_air_grid(k_fill)-mass_air_grid(k_fill)!ZERO
k_fill=k_fill+1
end do
xn_buff(:,k)=xn_buff(:,k)+ xn_adv(:,i,j,k_fill)*dk(k_fill)*&
(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp)/(mass_air_grid(k_fill)*dk(k_fill))
xn_adv(:,i,j,k_fill) = xn_adv(:,i,j,k_fill)- xn_adv(:,i,j,k_fill)*&
(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp)/(mass_air_grid(k_fill)*dk(k_fill))
mass_air_grid(k_fill)=mass_air_grid(k_fill)-&
(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp)/dk(k_fill)
dpdeta(i,j,k) = mass_air_grid0(k)!=(mass_air_grid_k_temp+(mass_air_grid0(k)*dk(k)-mass_air_grid_k_temp))/dk(k)
end do
do k=1,KMAX_MID
xn_adv(:,i,j,k)=xn_buff(:,k)/dk(k)
end do
!check that all mass is distributed
! if(abs(mass_air_grid(k_fill))>1.0.or.k_fill/=KMAX_MID)then
! if(ME==0)write(*,*)'ERRORMASS',ME,i,j,k_fill,mass_air_grid(k_fill),mass_air_grid_k_temp,mass_air_grid0(k)
! end if
else
do k=1,KMAX_MID
dpdeta(i,j,k) = mass_air_grid(k)
end do
end if
end do
end do
end subroutine convection_Eta
end module Convection_mod