solve T
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2 changed files with 45 additions and 54 deletions
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@ -16,6 +16,5 @@
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c_ref 0.01 !0.003 !
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min_wr 0. ! 5.0e-14
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prof_wr 1.0
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rvis 1.0
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cstar 1.0
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lewis 1.0
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@ -4,12 +4,13 @@
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PRIVATE
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REAL, PARAMETER :: pi=3.14159265358979323846
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REAL :: hx,dt,vis,sc,diff,pre,ac,bc,tf,t_now,t_uf,dt_uf
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REAL :: rvis,cstar,sigw
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REAL :: lewis
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REAL :: c_cut,c_ref,refwr,minf,tar_lo,u0,ctmp,l_0,lo_flm=0.
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REAL :: er_lof=0., erdot=0.,min_wr,prof_wr
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REAL :: pflame,pflold,oldu
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INTEGER :: ncyc=0,int_pr,nx
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REAL, DIMENSION(:,:), ALLOCATABLE :: u,y1,y2,yf
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REAL, DIMENSION(:), ALLOCATABLE :: u
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REAL, DIMENSION(:,:), ALLOCATABLE :: y1,y2,yf
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REAL, DIMENSION(:), ALLOCATABLE :: uxt,duxt
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REAL, DIMENSION(:), ALLOCATABLE :: dm
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@ -83,12 +84,12 @@
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ENDDO
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CALL dfnonp(nx,hx,uxt,duxt,1,1)
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delf=1./MAXVAL(ABS(duxt))
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oldu=u(1,1)
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oldu=u(1)
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u=u+0.5*(hx*REAL(nx)*tar_lo-pflame)+0.5*(pflold-pflame)
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t_uf=0.
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WRITE(*,'(a3,f8.3,a10,f6.3,a10,f6.3,a10,f7.4,a10,f7.4,a8,f7.4)') &
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' T:',t_now,' // Tar_L:',l_0*tar_lo,' // cur_L:',pflame/hx/REAL(nx)*l_0, &
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' // Old_U:',oldu,' // New_U:',u(1,1),' // L_f:',delf
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' // Old_U:',oldu,' // New_U:',u(1),' // L_f:',delf
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! WRITE(*,'(a7,f7.4,a7,f7.4,a10,f7.4)') ' cur_U:',oldu,' // dU:',u(1,1,1)-oldu,' // new_U:',u(1,1,1)
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! WRITE(*,*)
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@ -113,9 +114,9 @@
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END SUBROUTINE solve
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SUBROUTINE write_sd
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REAL :: c,yr,wrate,dely,sdr,sdd,sd,uu,onelw,dd
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REAL :: c,yr,theta,wrate,dely,sdr,sdd,sd,uu,onelw,dd
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INTEGER :: i,j,k,nd
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REAL, DIMENSION(1,nx) :: ux,dux,d2ux
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REAL, DIMENSION(2,nx) :: ux,dux,d2ux
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REAL, DIMENSION(10,nx) :: sav
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sav=0.
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@ -130,20 +131,21 @@
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DO i=1,nx
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ux(1,i)=y1(i,1) ! Yr
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ux(2,i)=y1(i,2) ! T
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IF (ux(1,i).gt.1.) ux(1,i)=1.
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ENDDO
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nd=1
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CALL dfnonp(nx,hx,ux(1,:),dux(1,:),nd,1)
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nd=1
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CALL d2fnonp(nx,hx,ux(1,:),d2ux(1,:),nd,1)
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nd=2
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CALL dfnonp(nx,hx,ux(:,:),dux(:,:),nd,1)
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CALL d2fnonp(nx,hx,ux(:,:),d2ux(:,:),nd,1)
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DO i=1,nx
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yr=ux(1,i)
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theta=ux(2,i)
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c=1.-yr
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IF (c.lt.0.) c=0.
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wrate=pre*yr*exp(-ac/(1.+bc*(1.-yr))) !wrate
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wrate=pre*yr*exp(-ac/(1.+bc*(theta))) !wrate
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! IF (c.le.c_cut) THEN
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! wrate=min_wr
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@ -151,9 +153,9 @@
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! ((exp((c-c_cut)*prof_wr)-minf)/(1.-minf)*(refwr-min_wr))+min_wr
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! ENDIF
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IF (c.le.c_ref) THEN
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IF (theta.le.c_ref) THEN
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wrate=min_wr
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IF (c.gt.c_cut) wrate=((refwr-min_wr)*exp(prof_wr*(c-c_ref))+ &
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IF (theta.gt.c_cut) wrate=((refwr-min_wr)*exp(prof_wr*(theta-c_ref))+ &
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min_wr-refwr*exp(prof_wr*(c_cut-c_ref)))/(1.-exp(prof_wr*(c_cut-c_ref)))
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ENDIF
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@ -164,7 +166,7 @@
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sdr=0.; sdd=0.
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ENDIF
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sd=sdr+sdd
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uu=u(1,1)
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uu=u(1)
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onelw=(-dux(1,i))/c
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dd=-dm(i)*d2ux(1,i)
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if (c.eq.0.) onelw=0.
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@ -197,32 +199,33 @@
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OPEN (305,FILE='sfield.dat')
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DO i=1,nx
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WRITE (305,'(e30.20)') y1(i,1)
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WRITE (305,'(2e30.20)') y1(i,1), y1(i,2)
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ENDDO
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CLOSE (305)
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END SUBROUTINE save_final_field
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SUBROUTINE write_pre
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REAL :: yr,c,dy,maxdy=0.,del_f
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REAL :: theta,yr,c,dy,maxdy=0.,del_f
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REAL :: S_L=0.,wrate
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INTEGER :: i
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REAL, DIMENSION(1,nx) :: ux, dux
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DO i=1,nx
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yr=y1(i,1)
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theta=y1(i,2)
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c=1.-yr
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ux(1,i)=yr
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wrate=pre*yr*exp(-ac/(1.+bc*(1.-yr))) !wrate
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wrate=pre*yr*exp(-ac/(1.+bc*theta)) !wrate
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! IF (c.le.c_cut) THEN
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! wrate=min_wr
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! IF (c.gt.c_ref) wrate= &
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! ((exp((c-c_cut)*prof_wr)-minf)/(1.-minf)*(refwr-min_wr))+min_wr
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! ENDIF
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IF (c.le.c_ref) THEN
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IF (theta.le.c_ref) THEN
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wrate=min_wr
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IF (c.gt.c_cut) wrate=((refwr-min_wr)*exp(prof_wr*(c-c_ref))+ &
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IF (theta.gt.c_cut) wrate=((refwr-min_wr)*exp(prof_wr*(theta-c_ref))+ &
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min_wr-refwr*exp(prof_wr*(c_cut-c_ref)))/(1.-exp(prof_wr*(c_cut-c_ref)))
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ENDIF
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@ -239,7 +242,7 @@
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ENDDO
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del_f=1./maxdy
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WRITE(*,'(a13,e14.8,a25,e14.8)') ' Grid size : ',hx,' / Laminar flame speed : ',u(1,1)
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WRITE(*,'(a13,e14.8,a25,e14.8)') ' Grid size : ',hx,' / Laminar flame speed : ',u(1)
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WRITE(*,'(a19,e14.8,a3,f9.5,a20)') &
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' Flame thickness : ',del_f,' / ',del_f/hx,' grids in the flame.'
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WRITE(*,*)
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@ -330,16 +333,8 @@
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WRITE(otape,*) cdum,min_wr
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READ(itape,*) cdum,prof_wr
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WRITE(otape,*) cdum,prof_wr
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READ(itape,*) cdum,rvis
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WRITE(otape,*) cdum,rvis
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READ(itape,*) cdum,cstar
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WRITE(otape,*) cdum,cstar
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READ(itape,*) cdum,sigw
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WRITE(otape,*) cdum,sigw
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DO i = 0,100
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WRITE(*,*) diffusivity_T076(i / 100.)
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END DO
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READ(itape,*) cdum,lewis
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WRITE(otape,*) cdum,lewis
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IF (.not.read_stdin) THEN
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CLOSE(itape)
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@ -363,7 +358,7 @@
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refwr=pre*1.*exp(-ac/(1.+bc*c_ref))
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l_0=l_0*pi
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ALLOCATE( u(nx,1),STAT=ierr) ; u=0.
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ALLOCATE( u(nx),STAT=ierr) ; u=0.
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ALLOCATE(y1(nx,2),STAT=ierr) ; y1=0.
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ALLOCATE(y2(nx,2),STAT=ierr) ; y2=0.
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ALLOCATE(yf(nx,2),STAT=ierr) ; yf=0.
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@ -405,7 +400,7 @@
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REAL, INTENT(OUT),DIMENSION(:,:) :: f
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REAL, DIMENSION(2,nx) :: ux, dux, d2ux
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INTEGER :: i,j,k
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REAL :: wrate,Ly,Dy
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REAL :: wrate,Ly,Dy,Lt,Dt
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! x-direction
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DO i=1,nx
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@ -418,20 +413,26 @@
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CALL d2fnonp(nx,hx,ux(:,:),d2ux(:,:),2,1)
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DO i=1,nx
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wrate=pre*ux(1,i)*exp(-ac/(1.+bc*(1.-ux(1,i)))) !wrate
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wrate=pre*ux(1,i)*exp(-ac/(1.+bc*(ux(2,i)))) !wrate
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IF ((1.-ux(1,i)).le.c_ref) THEN
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IF ((ux(2,i)).le.c_ref) THEN
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wrate=min_wr
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IF ((1.-ux(1,i)).gt.c_cut) wrate=((refwr-min_wr)*exp(prof_wr*(1.-ux(1,i)-c_ref))+ &
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IF ((ux(2,i)).gt.c_cut) wrate=((refwr-min_wr)*exp(prof_wr*(ux(2,i)-c_ref))+ &
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min_wr-refwr*exp(prof_wr*(c_cut-c_ref)))/(1.-exp(prof_wr*(c_cut-c_ref)))
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ENDIF
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! -0.5*( d(u*Y)/dx + u*dY/dx + Y*du/dx ) + D*d2Y/d2x
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f(i,1) = - ( u(i,1)*dux(1,i) ) + diff * d2ux(1,i) - wrate
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f(i,1) = - ( u(i)*dux(1,i) ) + diff * d2ux(1,i) - wrate
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! - u*dT/dx + D*d2T/d2x
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f(i,2) = - ( u(i)*dux(2,i) ) + (lewis * diff) * d2ux(2,i) + wrate
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IF (i.eq.nx) THEN
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Ly=u(nx,1)*dux(1,nx) ! Ly = u*dYr/dx
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Ly=u(nx)*dux(1,nx) ! Ly = u*dYr/dx
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f(nx,1)=-wrate
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Lt=u(nx)*dux(2,nx) ! Ly = u*dYr/dx
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f(nx,2)=wrate
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ENDIF
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ENDDO
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@ -441,21 +442,12 @@
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Dy=Ly
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f(nx,1)=f(nx,1)-Dy
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f(1,2)=0.
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Dt=Lt
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f(nx,2)=f(nx,2)-Dt
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END SUBROUTINE fns
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!------------------------------------------------------------------------
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REAL FUNCTION sigmoid(x)
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REAL, INTENT(IN) :: x
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sigmoid = 1. / (1 + exp(-x))
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END FUNCTION sigmoid
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!------------------------------------------------------------------------
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REAL FUNCTION diffusivity_sigmoid(c)
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REAL, INTENT(IN) :: c
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diffusivity_sigmoid = 1. + (rvis - 1.) * sigmoid(sigw*(c-cstar))
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END FUNCTION diffusivity_sigmoid
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!------------------------------------------------------------------------
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REAL FUNCTION diffusivity_T076(c)
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REAL, INTENT(IN) :: c
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diffusivity_T076 = ((1.0 + bc * c) ** 0.76)
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END FUNCTION diffusivity_T076
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!------------------------------------------------------------------------
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END MODULE ysolve
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