subroutine soil(ngrid,nsoil,firstcall,lastcall, & therm_i, & timestep,tsurf,tsoil, & capcal,fluxgrd) use comsoil_h, only: layer, mlayer, volcapa, inertiedat use comcstfi_mod, only: pi use time_phylmdz_mod, only: daysec use planete_mod, only: year_day use geometry_mod, only: longitude, latitude ! in radians implicit none !----------------------------------------------------------------------- ! Author: Ehouarn Millour ! ! Purpose: Compute soil temperature using an implict 1st order scheme ! ! Note: depths of layers and mid-layers, soil thermal inertia and ! heat capacity are commons in comsoil.h !----------------------------------------------------------------------- c----------------------------------------------------------------------- ! arguments ! --------- ! inputs: integer,intent(in) :: ngrid ! number of (horizontal) grid-points integer,intent(in) :: nsoil ! number of soil layers logical,intent(in) :: firstcall ! identifier for initialization call logical,intent(in) :: lastcall real,intent(in) :: therm_i(ngrid,nsoil) ! thermal inertia real,intent(in) :: timestep ! time step real,intent(in) :: tsurf(ngrid) ! surface temperature ! outputs: real,intent(out) :: tsoil(ngrid,nsoil) ! soil (mid-layer) temperature real,intent(out) :: capcal(ngrid) ! surface specific heat real,intent(out) :: fluxgrd(ngrid) ! surface diffusive heat flux ! local saved variables: real,dimension(:,:),save,allocatable :: mthermdiff ! mid-layer thermal diffusivity real,dimension(:,:),save,allocatable :: thermdiff ! inter-layer thermal diffusivity real,dimension(:),save,allocatable :: coefq ! q_{k+1/2} coefficients real,dimension(:,:),save,allocatable :: coefd ! d_k coefficients real,dimension(:,:),save,allocatable :: alph ! alpha_k coefficients real,dimension(:,:),save,allocatable :: beta ! beta_k coefficients real,save :: mu !$OMP THREADPRIVATE(mthermdiff,thermdiff,coefq,coefd,alph,beta,mu) ! local variables: integer ig,ik real :: inertia_min,inertia_max real :: diurnal_skin ! diurnal skin depth (m) real :: annual_skin ! anuual skin depth (m) ! 0. Initialisations and preprocessing step if (firstcall) then ! note: firstcall is set to .true. or .false. by the caller ! and not changed by soil.F ALLOCATE(mthermdiff(ngrid,0:nsoil-1)) ! mid-layer thermal diffusivity ALLOCATE(thermdiff(ngrid,nsoil-1)) ! inter-layer thermal diffusivity ALLOCATE(coefq(0:nsoil-1)) ! q_{k+1/2} coefficients ALLOCATE(coefd(ngrid,nsoil-1)) ! d_k coefficients ALLOCATE(alph(ngrid,nsoil-1)) ! alpha_k coefficients ALLOCATE(beta(ngrid,nsoil-1)) ! beta_k coefficients ! 0.1 Build mthermdiff(:), the mid-layer thermal diffusivities do ig=1,ngrid do ik=0,nsoil-1 mthermdiff(ig,ik)=therm_i(ig,ik+1)*therm_i(ig,ik+1)/volcapa !write(*,*),'soil: ik: ',ik,' mthermdiff:',mthermdiff(ig,ik) enddo enddo ! 0.2 Build thermdiff(:), the "interlayer" thermal diffusivities do ig=1,ngrid do ik=1,nsoil-1 thermdiff(ig,ik)=((layer(ik)-mlayer(ik-1))*mthermdiff(ig,ik) & +(mlayer(ik)-layer(ik))*mthermdiff(ig,ik-1)) & /(mlayer(ik)-mlayer(ik-1)) ! write(*,*),'soil: ik: ',ik,' thermdiff:',thermdiff(ig,ik) enddo enddo ! 0.3 Build coefficients mu, q_{k+1/2}, d_k, alpha_k and capcal ! mu mu=mlayer(0)/(mlayer(1)-mlayer(0)) ! q_{1/2} coefq(0)=volcapa*layer(1)/timestep ! q_{k+1/2} do ik=1,nsoil-1 coefq(ik)=volcapa*(layer(ik+1)-layer(ik)) & /timestep enddo do ig=1,ngrid ! d_k do ik=1,nsoil-1 coefd(ig,ik)=thermdiff(ig,ik)/(mlayer(ik)-mlayer(ik-1)) enddo ! alph_{N-1} alph(ig,nsoil-1)=coefd(ig,nsoil-1)/ & (coefq(nsoil-1)+coefd(ig,nsoil-1)) ! alph_k do ik=nsoil-2,1,-1 alph(ig,ik)=coefd(ig,ik)/(coefq(ik)+coefd(ig,ik+1)* & (1.-alph(ig,ik+1))+coefd(ig,ik)) enddo ! capcal ! Cstar capcal(ig)=volcapa*layer(1)+ & (thermdiff(ig,1)/(mlayer(1)-mlayer(0)))* & (timestep*(1.-alph(ig,1))) ! Cs capcal(ig)=capcal(ig)/(1.+mu*(1.0-alph(ig,1))* & thermdiff(ig,1)/mthermdiff(ig,0)) !write(*,*)'soil: ig=',ig,' capcal(ig)=',capcal(ig) enddo ! of do ig=1,ngrid ! Additional checks: is the vertical discretization sufficient ! to resolve diurnal and annual waves? do ig=1,ngrid ! extreme inertia for this column inertia_min=minval(inertiedat(ig,:)) inertia_max=maxval(inertiedat(ig,:)) ! diurnal and annual skin depth diurnal_skin=(inertia_min/volcapa)*sqrt(daysec/pi) annual_skin=(inertia_max/volcapa)*sqrt(year_day*daysec/pi) if (0.5*diurnal_skinlayer(nsoil)) then ! one should have the full soil be at least twice the diurnal skin depth write(*,*) "soil Error: grid point ig=",ig write(*,*) " longitude=",longitude(ig)*(180./pi) write(*,*) " latitude=",latitude(ig)*(180./pi) write(*,*) " total soil layer depth ",layer(nsoil) write(*,*) " not large enough for an annual skin depth of ", & annual_skin write(*,*) " change soil layer distribution (comsoil_h.F90)" stop endif enddo ! of do ig=1,ngrid else ! of if (firstcall) ! 1. Compute soil temperatures ! First layer: do ig=1,ngrid tsoil(ig,1)=(tsurf(ig)+mu*beta(ig,1)* & thermdiff(ig,1)/mthermdiff(ig,0))/ & (1.+mu*(1.0-alph(ig,1))* & thermdiff(ig,1)/mthermdiff(ig,0)) enddo ! Other layers: do ik=1,nsoil-1 do ig=1,ngrid tsoil(ig,ik+1)=alph(ig,ik)*tsoil(ig,ik)+beta(ig,ik) enddo enddo endif! of if (firstcall) ! 2. Compute beta coefficients (preprocessing for next time step) ! Bottom layer, beta_{N-1} do ig=1,ngrid beta(ig,nsoil-1)=coefq(nsoil-1)*tsoil(ig,nsoil) & /(coefq(nsoil-1)+coefd(ig,nsoil-1)) enddo ! Other layers do ik=nsoil-2,1,-1 do ig=1,ngrid beta(ig,ik)=(coefq(ik)*tsoil(ig,ik+1)+ & coefd(ig,ik+1)*beta(ig,ik+1))/ & (coefq(ik)+coefd(ig,ik+1)*(1.0-alph(ig,ik+1)) & +coefd(ig,ik)) enddo enddo ! 3. Compute surface diffusive flux & calorific capacity do ig=1,ngrid ! Cstar ! capcal(ig)=volcapa(ig,1)*layer(ig,1)+ ! & (thermdiff(ig,1)/(mlayer(ig,1)-mlayer(ig,0)))* ! & (timestep*(1.-alph(ig,1))) ! Fstar ! print*,'this far in soil 1' ! print*,'thermdiff=',thermdiff(ig,1) ! print*,'mlayer=',mlayer ! print*,'beta=',beta(ig,1) ! print*,'alph=',alph(ig,1) ! print*,'tsoil=',tsoil(ig,1) fluxgrd(ig)=(thermdiff(ig,1)/(mlayer(1)-mlayer(0)))* & (beta(ig,1)+(alph(ig,1)-1.0)*tsoil(ig,1)) ! mu=mlayer(ig,0)/(mlayer(ig,1)-mlayer(ig,0)) ! capcal(ig)=capcal(ig)/(1.+mu*(1.0-alph(ig,1))* ! & thermdiff(ig,1)/mthermdiff(ig,0)) ! Fs fluxgrd(ig)=fluxgrd(ig)+(capcal(ig)/timestep)* & (tsoil(ig,1)*(1.+mu*(1.0-alph(ig,1))* & thermdiff(ig,1)/mthermdiff(ig,0)) & -tsurf(ig)-mu*beta(ig,1)* & thermdiff(ig,1)/mthermdiff(ig,0)) enddo end