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advection_and_mixing.f90
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advection_and_mixing.f90
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subroutine advection_and_mixing(m,n,dtimel,step)
#include "cppdefs.h"
USE header
INTEGER :: i,j,k,ix
INTEGER :: n,m,step
REAL(kind=rc_kind) :: dtimel, res_term
REAL(kind=rc_kind), dimension(0:NI+1,0:NJ+1,0:NK+1) :: var,var0 ! var=(s,T,u,v,w,Tr(it,:,:,:)
REAL(kind=rc_kind), dimension(0:NI+1,0:NJ+1,0:NK+1) :: uvarx !, uvarx_advec ! uvarx is the advective term
REAL(kind=rc_kind), dimension(1:NI, 1:NJ, 1:NK ) :: vardif ! vardif is dissipation term
REAL(kind=rc_kind), dimension( 0:NJ+1,0:NK+1) :: Tbar,sbar,ubar
INTEGER :: av_comp(5+ntr)
! REAL(kind=rc_kind), dimension(1:NI,1:NJ,1:NK) :: T_h=0.,u_w=0.,v_w=0.
! ---------------------------------------------------------------
! By default, all variables will be subject to the following loop
av_comp=1
#ifdef rhoonly ! rho is stored in T, s=35 and does not need to be updated.
av_comp(2)=0
#endif
!==================================================================================================
! Loop for variables
!==================================================================================================
do selvar=1,5+ntr
uvarx = 0.d0; vardif = 0.d0 ! uvarx_advec = 0.d0; ! uvarx_advec is not needed
#ifdef implicit
mat_A = 0.d0; mat_B = 0.d0; mat_C = 0.d0; mat_D = 0.d0; mat_test = 0.d0;
#endif
if(av_comp(selvar)==1) then ! skip s/T if rhoonly
if(selvar==1) then; var=T(:,:,:,m); var0(:,:,:) = T(:,:,:,0); endif
if(selvar==2) then; var=s(:,:,:,m); var0(:,:,:) = s(:,:,:,0); endif
if(selvar==3) then; var=u(:,:,:,m); var0(:,:,:) = u(:,:,:,0); endif
if(selvar==4) then; var=v(:,:,:,m); var0(:,:,:) = v(:,:,:,0); endif
if(selvar==5) then; var=w(:,:,:,m); var0(:,:,:) = w(:,:,:,0); endif
do it=1,ntr
if(selvar==5+it) then; var=Tr(it,:,:,:,m); endif
enddo
! ---------------------------------------------------------------
! computation of the advective terms
CALL advect(var,uvarx) ! use QUICK scheme
#ifdef extra_output
if(selvar==1) then; term_advcT(1:NI,1:NJ,1:NK)=uvarx(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL; endif
if(selvar==3) then; term_advcU(1:NI,1:NJ,1:NK)=uvarx(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*UL; endif
if(selvar==4) then; term_advcV(1:NI,1:NJ,1:NK)=uvarx(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*UL; endif
if(selvar==5) then; term_advcW(1:NI,1:NJ,1:NK)=uvarx(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*WL; endif
#endif
! ---------------------------------------------------------------
! computation of the vertical dissipation terms
if(selvar<4.5) then ! vertical mixing ought to be for all tracers
vardif=0.;
call mixing_vertical(var,vardif,m,step)
#ifdef extra_output
if(selvar==1) then; term_dissTv(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL; endif
if(selvar==3) then; term_dissUv(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*UL; endif
if(selvar==4) then; term_dissVv(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*UL; endif
if(selvar==5) then; term_dissWv(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*WL; endif
#endif
uvarx(1:NI,1:NJ,1:NK)=uvarx(1:NI,1:NJ,1:NK)-vardif(1:NI,1:NJ,1:NK)
endif
! ---------------------------------------------------------------
! computation of the horizontal dissipation terms
if(selvar<5.5) then ! horizontal diffusion can be for tracers too. In that case, selvar need not be < 5.5
vardif=0.;
if(biharmonic_horizontal) then
call mixing_horizontal_biharmonic(var,vardif)
else
call mixing_horizontal(var,vardif)
endif
! call mixing_isopycnal(var,vardif,10.);PRINT*,"VISCOUS REDI";
! call mixing_isopycnal_biharmonic(var,vardif,1.);PRINT*,"BIHARMONIC REDI"
#ifdef extra_output
if(selvar==1) then; term_dissTh(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL; endif
if(selvar==3) then; term_dissUh(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*UL; endif
if(selvar==4) then; term_dissVh(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*UL; endif
if(selvar==5) then; term_dissWh(1:NI,1:NJ,1:NK)=vardif(1:NI,1:NJ,1:NK)*Jacinv(1:NI,1:NJ,1:NK)/TL*WL; endif
#endif
uvarx(1:NI,1:NJ,1:NK)=uvarx(1:NI,1:NJ,1:NK)-vardif(1:NI,1:NJ,1:NK)
endif
! uvarx_advec(1:NI,1:NJ,1:NK) = uvarx(1:NI,1:NJ,1:NK) ! uvarx_advec is not needed. Will eliminate it later.
! ---------------------------------------------------------------
! Solve equation of motion
! ---------------------------------------------------------------
#ifdef implicit
if (selvar.lt.4.5) then
do i=1,NI
do j=1,NJ
mat_A(i,j,1:NK,selvar) = dtimel*Jacinv(i,j,1:NK)*mat_A(i,j,1:NK,selvar)
mat_B(i,j,1:NK,selvar) = ( (dtimel*Jacinv(i,j,1:NK)*mat_B(i,j,1:NK,selvar)) - 1)
mat_C(i,j,1:NK-1,selvar)= dtimel*Jacinv(i,j,1:NK-1)*mat_C(i,j,1:NK-1,selvar)
mat_D(i,j,1:NK,selvar) = 0.d0 - var0(i,j,1:NK ) - (dtimel*Jacinv(i,j,1:NK)*mat_D(i,j,1:NK,selvar)) + &
& (dtimel*Jacinv(i,j,1:NK)*uvarx_advec(i,j,1:NK))
call solve_tridiag(mat_A(i,j,1:NK,selvar),mat_B(i,j,1:NK,selvar),mat_C(i,j,1:NK,selvar),mat_D(i,j,1:NK,selvar),mat_test(i,j,1:NK,selvar),NK)
enddo
enddo
endif
if(selvar==1) then; T(1:NI,1:NJ,1:NK,n)= mat_test(1:NI,1:NJ,1:NK,selvar); endif
if(selvar==2) then; s(1:NI,1:NJ,1:NK,n)= mat_test(1:NI,1:NJ,1:NK,selvar); endif
if(selvar==3) then; cx(1:NI,1:NJ,1:NK) = mat_test(1:NI,1:NJ,1:NK,selvar); endif
if(selvar==4) then; cy(1:NI,1:NJ,1:NK) = mat_test(1:NI,1:NJ,1:NK,selvar); endif
!if(selvar==5) then; cz(1:NI,1:NJ,1:NK) = mat_test(1:NI,1:NJ,1:NK,selvar); endif
#else
! ------------------- T -------------------
if(selvar==1) then
if (restore_sT) then
do j=0,NJ+1
do k=0,NK+1
Tbar(j,k)= 0.d0
do i=0,NI+1
Tbar(j,k)= Tbar(j,k) + T(i,j,k,0)
enddo
Tbar(j,k)= Tbar(j,k)/(dble(NI)+2)
enddo
enddo
do k=1,NK
do j=1,NJ
res_term= -restore_rate*TL*( Tbar(j,k)-T_restore(j,k) )
#ifdef extra_output
term_restT(j,k)= res_term/TL
#endif
do i=1,NI
T(i,j,k,n)=T(i,j,k,0) - dtimel* ( Jacinv(i,j,k)*uvarx(i,j,k)-res_term )
enddo
enddo
enddo
else ! not restore T
T(1:NI,1:NJ,1:NK,n)=T(1:NI,1:NJ,1:NK,0)-dtimel*Jacinv(1:NI,1:NJ,1:NK)*uvarx(1:NI,1:NJ,1:NK)
endif
endif ! end selvar==1
! ------------------- s -------------------
if(selvar==2) then
write(6,*) "salinity calculated!"
if (restore_sT) then
do j=0,NJ+1
do k=0,NK+1
sbar(j,k)= 0.d0
do i=0,NI+1
sbar(j,k)= sbar(j,k) + s(i,j,k,0)
enddo
sbar(j,k)= sbar(j,k)/(dble(NI)+2)
enddo
enddo
do k=1,NK
do j=1,NJ
res_term= -restore_rate*TL*( sbar(j,k)-s_restore(j,k) )
do i=1,NI
s(i,j,k,n)=s(i,j,k,0) - dtimel* ( Jacinv(i,j,k)*uvarx(i,j,k)-res_term )
enddo
enddo
enddo
else ! not restore s
s(1:NI,1:NJ,1:NK,n)=s(1:NI,1:NJ,1:NK,0)-dtimel*Jacinv(1:NI,1:NJ,1:NK)*uvarx(1:NI,1:NJ,1:NK)
endif
endif ! end selvar==2
! ------------------- u -------------------
if(selvar==3) then
if (restore_u) then
do j=0,NJ+1
do k=0,NK+1
ubar(j,k)= 0.d0
do i=0,NI+1
ubar(j,k)= ubar(j,k) + u(i,j,k,0)
enddo
ubar(j,k)= ubar(j,k)/(dble(NI)+2)
enddo
enddo
do k=1,NK
do j=1,NJ
res_term= -restore_rate*TL*( ubar(j,k)-u_restore(j,k) )
#ifdef extra_output
term_restU(j,k)= res_term/TL*UL
#endif
do i=1,NI
cx(i,j,k)=u(i,j,k,0) - dtimel* ( Jacinv(i,j,k)*uvarx(i,j,k)-res_term )
enddo
enddo
enddo
else ! not restore u
cx(1:NI,1:NJ,1:NK) =u(1:NI,1:NJ,1:NK,0)-dtimel*Jacinv(1:NI,1:NJ,1:NK)*uvarx(1:NI,1:NJ,1:NK)
endif
endif ! end selvar
! ------------------- v -------------------
if(selvar==4) then; cy(1:NI,1:NJ,1:NK) =v(1:NI,1:NJ,1:NK,0)-dtimel*Jacinv(1:NI,1:NJ,1:NK)*uvarx(1:NI,1:NJ,1:NK); endif
! ------------------- w -------------------
if(selvar==5) then; cz(1:NI,1:NJ,1:NK) =w(1:NI,1:NJ,1:NK,0)-dtimel*Jacinv(1:NI,1:NJ,1:NK)*uvarx(1:NI,1:NJ,1:NK); endif
! ------------------- tr -------------------
do it=1,ntr
if(selvar==5+it) then;
Tr(it,1:NI,1:NJ,1:NK,n)=Tr(it,1:NI,1:NJ,1:NK,0)-dtimel*Jacinv(1:NI,1:NJ,1:NK)*uvarx(1:NI,1:NJ,1:NK);
endif
enddo
#endif
endif !(av_comp(selvar)==1)
enddo !selvar
return
END