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module soil_m |
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! $Header: /home/cvsroot/LMDZ4/libf/phylmd/soil.F,v 1.1.1.1 2004/05/19 12:53:09 lmdzadmin Exp $ |
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! |
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SUBROUTINE soil(ptimestep, indice, knon, snow, ptsrf, ptsoil, |
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s pcapcal, pfluxgrd) |
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use dimens_m |
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use indicesol |
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use dimphy |
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use dimsoil |
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use YOMCST |
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IMPLICIT NONE |
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c======================================================================= |
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c |
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c Auteur: Frederic Hourdin 30/01/92 |
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c ------- |
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c |
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c objet: computation of : the soil temperature evolution |
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c ------ the surfacic heat capacity "Capcal" |
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c the surface conduction flux pcapcal |
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c |
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c |
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c Method: implicit time integration |
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c ------- |
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c Consecutive ground temperatures are related by: |
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c T(k+1) = C(k) + D(k)*T(k) (1) |
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c the coefficients C and D are computed at the t-dt time-step. |
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c Routine structure: |
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c 1)new temperatures are computed using (1) |
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c 2)C and D coefficients are computed from the new temperature |
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c profile for the t+dt time-step |
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c 3)the coefficients A and B are computed where the diffusive |
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c fluxes at the t+dt time-step is given by |
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c Fdiff = A + B Ts(t+dt) |
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c or Fdiff = F0 + Capcal (Ts(t+dt)-Ts(t))/dt |
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c with F0 = A + B (Ts(t)) |
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c Capcal = B*dt |
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c |
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c Interface: |
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c ---------- |
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c |
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c Arguments: |
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c ---------- |
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c ptimestep physical timestep (s) |
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c indice sub-surface index |
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c snow(klon,nbsrf) snow |
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c ptsrf(klon) surface temperature at time-step t (K) |
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c ptsoil(klon,nsoilmx) temperature inside the ground (K) |
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c pcapcal(klon) surfacic specific heat (W*m-2*s*K-1) |
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c pfluxgrd(klon) surface diffusive flux from ground (Wm-2) |
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c |
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c======================================================================= |
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c declarations: |
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c ------------- |
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c----------------------------------------------------------------------- |
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c arguments |
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c --------- |
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REAL ptimestep |
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INTEGER indice, knon |
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REAL ptsrf(klon),ptsoil(klon,nsoilmx),snow(klon) |
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REAL pcapcal(klon),pfluxgrd(klon) |
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c----------------------------------------------------------------------- |
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c local arrays |
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c ------------ |
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INTEGER ig,jk |
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c$$$ REAL zdz2(nsoilmx),z1(klon) |
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REAL zdz2(nsoilmx),z1(klon,nbsrf) |
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REAL min_period,dalph_soil |
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REAL ztherm_i(klon) |
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c local saved variables: |
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c ---------------------- |
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REAL dz1(nsoilmx),dz2(nsoilmx) |
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c$$$ REAL zc(klon,nsoilmx),zd(klon,nsoilmx) |
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REAL zc(klon,nsoilmx,nbsrf),zd(klon,nsoilmx,nbsrf) |
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REAL lambda |
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SAVE dz1,dz2,zc,zd,lambda |
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LOGICAL firstcall, firstsurf(nbsrf) |
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SAVE firstcall, firstsurf |
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REAL isol,isno,iice |
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SAVE isol,isno,iice |
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DATA firstcall/.true./ |
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DATA firstsurf/.TRUE.,.TRUE.,.TRUE.,.TRUE./ |
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DATA isol,isno,iice/2000.,2000.,2000./ |
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c----------------------------------------------------------------------- |
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c Depthts: |
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c -------- |
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REAL fz,rk,fz1,rk1,rk2 |
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fz(rk)=fz1*(dalph_soil**rk-1.)/(dalph_soil-1.) |
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pfluxgrd(:) = 0. |
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c calcul de l'inertie thermique a partir de la variable rnat. |
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c on initialise a iice meme au-dessus d'un point de mer au cas |
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c ou le point de mer devienne point de glace au pas suivant |
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c on corrige si on a un point de terre avec ou sans glace |
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c |
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IF (indice.EQ.is_sic) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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IF (snow(ig).GT.0.0) ztherm_i(ig) = isno |
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ENDDO |
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ELSE IF (indice.EQ.is_lic) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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IF (snow(ig).GT.0.0) ztherm_i(ig) = isno |
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ENDDO |
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ELSE IF (indice.EQ.is_ter) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = isol |
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IF (snow(ig).GT.0.0) ztherm_i(ig) = isno |
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ENDDO |
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ELSE IF (indice.EQ.is_oce) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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ENDDO |
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ELSE |
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PRINT*, "valeur d indice non prevue", indice |
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stop 1 |
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ENDIF |
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c$$$ IF (firstcall) THEN |
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IF (firstsurf(indice)) THEN |
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c----------------------------------------------------------------------- |
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c ground levels |
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c grnd=z/l where l is the skin depth of the diurnal cycle: |
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c -------------------------------------------------------- |
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min_period=1800. ! en secondes |
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dalph_soil=2. ! rapport entre les epaisseurs de 2 couches succ. |
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OPEN(99,file='soil.def',status='old',form='formatted',err=9999) |
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READ(99,*) min_period |
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READ(99,*) dalph_soil |
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PRINT*,'Discretization for the soil model' |
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PRINT*,'First level e-folding depth',min_period, |
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s ' dalph',dalph_soil |
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CLOSE(99) |
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9999 CONTINUE |
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c la premiere couche represente un dixieme de cycle diurne |
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fz1=sqrt(min_period/3.14) |
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DO jk=1,nsoilmx |
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rk1=jk |
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rk2=jk-1 |
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dz2(jk)=fz(rk1)-fz(rk2) |
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ENDDO |
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DO jk=1,nsoilmx-1 |
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rk1=jk+.5 |
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rk2=jk-.5 |
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dz1(jk)=1./(fz(rk1)-fz(rk2)) |
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ENDDO |
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lambda=fz(.5)*dz1(1) |
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PRINT*,'full layers, intermediate layers (seconds)' |
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DO jk=1,nsoilmx |
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rk=jk |
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rk1=jk+.5 |
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rk2=jk-.5 |
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PRINT *,'fz=', |
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. fz(rk1)*fz(rk2)*3.14,fz(rk)*fz(rk)*3.14 |
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ENDDO |
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C PB |
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firstsurf(indice) = .FALSE. |
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c$$$ firstcall =.false. |
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c Initialisations: |
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c ---------------- |
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ELSE !--not firstcall |
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c----------------------------------------------------------------------- |
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c Computation of the soil temperatures using the Cgrd and Dgrd |
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c coefficient computed at the previous time-step: |
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c ----------------------------------------------- |
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c surface temperature |
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DO ig=1,knon |
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ptsoil(ig,1)=(lambda*zc(ig,1,indice)+ptsrf(ig))/ |
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s (lambda*(1.-zd(ig,1,indice))+1.) |
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ENDDO |
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c other temperatures |
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DO jk=1,nsoilmx-1 |
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DO ig=1,knon |
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ptsoil(ig,jk+1)=zc(ig,jk,indice)+zd(ig,jk,indice) |
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$ *ptsoil(ig,jk) |
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ENDDO |
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ENDDO |
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ENDIF !--not firstcall |
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c----------------------------------------------------------------------- |
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c Computation of the Cgrd and Dgrd coefficient for the next step: |
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c --------------------------------------------------------------- |
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c$$$ PB ajout pour cas glace de mer |
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IF (indice .EQ. is_sic) THEN |
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DO ig = 1 , knon |
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ptsoil(ig,nsoilmx) = RTT - 1.8 |
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END DO |
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ENDIF |
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DO jk=1,nsoilmx |
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zdz2(jk)=dz2(jk)/ptimestep |
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ENDDO |
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DO ig=1,knon |
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z1(ig,indice)=zdz2(nsoilmx)+dz1(nsoilmx-1) |
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zc(ig,nsoilmx-1,indice)= |
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$ zdz2(nsoilmx)*ptsoil(ig,nsoilmx)/z1(ig,indice) |
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zd(ig,nsoilmx-1,indice)=dz1(nsoilmx-1)/z1(ig,indice) |
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ENDDO |
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DO jk=nsoilmx-1,2,-1 |
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DO ig=1,knon |
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z1(ig,indice)=1./(zdz2(jk)+dz1(jk-1)+dz1(jk) |
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$ *(1.-zd(ig,jk,indice))) |
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zc(ig,jk-1,indice)= |
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s (ptsoil(ig,jk)*zdz2(jk)+dz1(jk)*zc(ig,jk,indice)) |
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$ *z1(ig,indice) |
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zd(ig,jk-1,indice)=dz1(jk-1)*z1(ig,indice) |
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ENDDO |
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ENDDO |
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c----------------------------------------------------------------------- |
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c computation of the surface diffusive flux from ground and |
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c calorific capacity of the ground: |
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c --------------------------------- |
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DO ig=1,knon |
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pfluxgrd(ig)=ztherm_i(ig)*dz1(1)* |
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s (zc(ig,1,indice)+(zd(ig,1,indice)-1.)*ptsoil(ig,1)) |
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pcapcal(ig)=ztherm_i(ig)* |
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s (dz2(1)+ptimestep*(1.-zd(ig,1,indice))*dz1(1)) |
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z1(ig,indice)=lambda*(1.-zd(ig,1,indice))+1. |
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pcapcal(ig)=pcapcal(ig)/z1(ig,indice) |
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pfluxgrd(ig) = pfluxgrd(ig) |
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s + pcapcal(ig) * (ptsoil(ig,1) * z1(ig,indice) |
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$ - lambda * zc(ig,1,indice) |
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$ - ptsrf(ig)) |
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s /ptimestep |
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ENDDO |
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RETURN |
IMPLICIT NONE |
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END |
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contains |
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SUBROUTINE soil(dtime, nisurf, snow, tsurf, tsoil, soilcap, soilflux) |
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! From LMDZ4/libf/phylmd/soil.F, version 1.1.1.1, 2004/05/19 |
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! Author: Frederic Hourdin, January 30th, 1992 |
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! Object: computation of the soil temperature evolution, the heat |
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! capacity per unit surface and the surface conduction flux |
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! Method: implicit time integration |
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! Consecutive ground temperatures are related by: |
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! T(k + 1) = C(k) + D(k) * T(k) (1) |
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! The coefficients C and D are computed at the t - dt time-step. |
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! Structure of the procedure: |
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! 1) new temperatures are computed using (1) |
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! 2) C and D coefficients are computed from the new temperature |
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! profile for the t + dt time-step |
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! 3) the coefficients A and B are computed where the diffusive |
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! fluxes at the t + dt time-step is given by |
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! Fdiff = A + B Ts(t + dt) |
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! or |
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! Fdiff = F0 + Soilcap (Ts(t + dt) - Ts(t)) / dt |
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! with |
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! F0 = A + B (Ts(t)) |
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! Soilcap = B * dt |
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USE indicesol, only: nbsrf, is_lic, is_oce, is_sic, is_ter |
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USE dimphy, only: klon |
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USE dimsoil, only: nsoilmx |
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USE suphec_m, only: rtt |
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REAL, intent(in):: dtime ! physical timestep (s) |
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INTEGER, intent(in):: nisurf ! sub-surface index |
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REAL, intent(in):: snow(:) ! (knon) |
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REAL, intent(in):: tsurf(:) ! (knon) surface temperature at time-step t (K) |
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real, intent(inout):: tsoil(:, :) ! (knon, nsoilmx) |
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! temperature inside the ground (K) |
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REAL, intent(out):: soilcap(:) ! (knon) |
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! specific heat per unit surface (W m-2 s K-1) |
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REAL, intent(out):: soilflux(:) ! (knon) |
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! surface diffusive flux from ground (W m-2) |
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! Local: |
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INTEGER knon, ig, jk |
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REAL zdz2(nsoilmx) |
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real z1(size(tsurf), nbsrf) ! (knon, nbsrf) |
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REAL min_period, dalph_soil |
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REAL ztherm_i(size(tsurf)) ! (knon) |
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REAL, save:: dz1(nsoilmx), dz2(nsoilmx) |
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REAL, save:: zc(klon, nsoilmx, nbsrf), zd(klon, nsoilmx, nbsrf) |
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REAL, save:: lambda |
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LOGICAL:: firstsurf(nbsrf) = .TRUE. |
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REAL:: isol = 2000., isno = 2000., iice = 2000. |
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! Depths: |
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REAL rk, fz1, rk1, rk2 |
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!----------------------------------------------------------------------- |
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knon = size(tsurf) |
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! Calcul de l'inertie thermique. On initialise \`a iice m\^eme |
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! au-dessus d'un point de mer au cas o\`u le point de mer devienne |
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! point de glace au pas suivant. On corrige si on a un point de |
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! terre avec ou sans glace. |
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IF (nisurf==is_sic) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
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END DO |
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ELSE IF (nisurf==is_lic) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
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END DO |
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ELSE IF (nisurf==is_ter) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = isol |
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IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
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END DO |
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ELSE IF (nisurf==is_oce) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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END DO |
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ELSE |
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PRINT *, 'valeur d indice non prevue', nisurf |
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STOP 1 |
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END IF |
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IF (firstsurf(nisurf)) THEN |
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! ground levels |
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! grnd=z / l where l is the skin depth of the diurnal cycle: |
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min_period = 1800. ! en secondes |
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dalph_soil = 2. ! rapport entre les epaisseurs de 2 couches succ. |
| 108 |
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OPEN(99, FILE='soil.def', STATUS='old', FORM='formatted', ERR=9999) |
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READ(99, *) min_period |
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READ(99, *) dalph_soil |
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PRINT *, 'Discretization for the soil model' |
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PRINT *, 'First level e-folding depth', min_period, ' dalph', & |
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dalph_soil |
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CLOSE(99) |
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9999 CONTINUE |
| 117 |
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| 118 |
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! la premiere couche represente un dixieme de cycle diurne |
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fz1 = sqrt(min_period / 3.14) |
| 120 |
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| 121 |
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DO jk = 1, nsoilmx |
| 122 |
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rk1 = jk |
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rk2 = jk - 1 |
| 124 |
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dz2(jk) = fz(rk1) - fz(rk2) |
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END DO |
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DO jk = 1, nsoilmx - 1 |
| 127 |
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rk1 = jk + .5 |
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rk2 = jk - .5 |
| 129 |
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dz1(jk) = 1. / (fz(rk1) - fz(rk2)) |
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END DO |
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lambda = fz(.5) * dz1(1) |
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PRINT *, 'full layers, intermediate layers (seconds)' |
| 133 |
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DO jk = 1, nsoilmx |
| 134 |
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rk = jk |
| 135 |
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rk1 = jk + .5 |
| 136 |
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rk2 = jk - .5 |
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PRINT *, 'fz=', fz(rk1) * fz(rk2) * 3.14, fz(rk) * fz(rk) * 3.14 |
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END DO |
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! PB |
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firstsurf(nisurf) = .FALSE. |
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ELSE |
| 142 |
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! Computation of the soil temperatures using the Zc and Zd |
| 143 |
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! coefficient computed at the previous time-step: |
| 144 |
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| 145 |
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! surface temperature |
| 146 |
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DO ig = 1, knon |
| 147 |
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tsoil(ig, 1) = (lambda * zc(ig, 1, nisurf) + tsurf(ig)) & |
| 148 |
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/ (lambda * (1. - zd(ig, 1, nisurf)) + 1.) |
| 149 |
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END DO |
| 150 |
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| 151 |
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! other temperatures |
| 152 |
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DO jk = 1, nsoilmx - 1 |
| 153 |
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DO ig = 1, knon |
| 154 |
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tsoil(ig, jk + 1) = zc(ig, jk, nisurf) & |
| 155 |
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+ zd(ig, jk, nisurf) * tsoil(ig, jk) |
| 156 |
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END DO |
| 157 |
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END DO |
| 158 |
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END IF |
| 159 |
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| 160 |
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! Computation of the Zc and Zd coefficient for the next step: |
| 161 |
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| 162 |
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IF (nisurf==is_sic) THEN |
| 163 |
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DO ig = 1, knon |
| 164 |
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tsoil(ig, nsoilmx) = rtt - 1.8 |
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END DO |
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END IF |
| 167 |
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| 168 |
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DO jk = 1, nsoilmx |
| 169 |
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zdz2(jk) = dz2(jk) / dtime |
| 170 |
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END DO |
| 171 |
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| 172 |
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DO ig = 1, knon |
| 173 |
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z1(ig, nisurf) = zdz2(nsoilmx) + dz1(nsoilmx - 1) |
| 174 |
|
zc(ig, nsoilmx - 1, nisurf) = zdz2(nsoilmx) * tsoil(ig, nsoilmx) / & |
| 175 |
|
z1(ig, nisurf) |
| 176 |
|
zd(ig, nsoilmx - 1, nisurf) = dz1(nsoilmx - 1) / z1(ig, nisurf) |
| 177 |
|
END DO |
| 178 |
|
|
| 179 |
|
DO jk = nsoilmx - 1, 2, - 1 |
| 180 |
|
DO ig = 1, knon |
| 181 |
|
z1(ig, nisurf) = 1. / (zdz2(jk) + dz1(jk - 1) & |
| 182 |
|
+ dz1(jk) * (1. - zd(ig, jk, nisurf))) |
| 183 |
|
zc(ig, jk - 1, nisurf) = (tsoil(ig, jk) * zdz2(jk) & |
| 184 |
|
+ dz1(jk) * zc(ig, jk, nisurf)) * z1(ig, nisurf) |
| 185 |
|
zd(ig, jk - 1, nisurf) = dz1(jk - 1) * z1(ig, nisurf) |
| 186 |
|
END DO |
| 187 |
|
END DO |
| 188 |
|
|
| 189 |
|
! computation of the surface diffusive flux from ground and |
| 190 |
|
! calorific capacity of the ground: |
| 191 |
|
|
| 192 |
|
DO ig = 1, knon |
| 193 |
|
soilflux(ig) = ztherm_i(ig) * dz1(1) * (zc(ig, 1, nisurf) + (zd(ig, 1, & |
| 194 |
|
nisurf) - 1.) * tsoil(ig, 1)) |
| 195 |
|
soilcap(ig) = ztherm_i(ig) * (dz2(1) & |
| 196 |
|
+ dtime * (1. - zd(ig, 1, nisurf)) * dz1(1)) |
| 197 |
|
z1(ig, nisurf) = lambda * (1. - zd(ig, 1, nisurf)) + 1. |
| 198 |
|
soilcap(ig) = soilcap(ig) / z1(ig, nisurf) |
| 199 |
|
soilflux(ig) = soilflux(ig) + soilcap(ig) * (tsoil(ig, 1) & |
| 200 |
|
* z1(ig, nisurf) - lambda * zc(ig, 1, nisurf) - tsurf(ig)) / dtime |
| 201 |
|
END DO |
| 202 |
|
|
| 203 |
|
contains |
| 204 |
|
|
| 205 |
|
pure real function fz(rk) |
| 206 |
|
|
| 207 |
|
real, intent(in):: rk |
| 208 |
|
|
| 209 |
|
!----------------------------------------- |
| 210 |
|
|
| 211 |
|
fz = fz1 * (dalph_soil**rk - 1.) / (dalph_soil - 1.) |
| 212 |
|
|
| 213 |
|
end function fz |
| 214 |
|
|
| 215 |
|
END SUBROUTINE soil |
| 216 |
|
|
| 217 |
|
end module soil_m |
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