451 lines
12 KiB
Fortran
451 lines
12 KiB
Fortran
MODULE ysolve
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USE m_compact
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USE m_parameters
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USE m_chemistry
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IMPLICIT NONE
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REAL, DIMENSION(:), ALLOCATABLE :: u
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REAL, DIMENSION(:,:), ALLOCATABLE :: y1,y2,yf,yold
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REAL, DIMENSION(:), ALLOCATABLE :: uxt,duxt
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REAL, DIMENSION(:), ALLOCATABLE :: dm
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CONTAINS
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!------------------------------------------------------------------------
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SUBROUTINE parse
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CHARACTER(100) :: num1char
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!First, make sure the right number of inputs have been provided
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IF(COMMAND_ARGUMENT_COUNT().EQ.1)THEN
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CALL GET_COMMAND_ARGUMENT(1,num1char) !first, read in the two values
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ELSE
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WRITE(*,*)'ERROR, TOO MANY COMMAND-LINE ARGUMENTS(MORE THAN ONE). STOPPING'
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STOP
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ENDIF
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IF(num1char(1:1) == "-") THEN
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if(num1char=="-h") then
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write(*,'(a)') "usage: ex [-h] -|input_file"
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write(*,'(a)') ""
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write(*,'(a)') "positional arguments:"
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write(*,'(a)') " - read from std_in"
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write(*,'(a)') " input_file input file name"
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write(*,'(a)') ""
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write(*,'(a)') "optional arguments:"
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write(*,'(a)') " -h show this help message and exit"
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stop
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else if (num1char=="-") then
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read_stdin = .true.
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else
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WRITE(*,*)'ERROR, UNSUPPORTED OPTION ', trim(num1char), '. STOPPING'
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STOP
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end if
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ELSE
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END IF
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IF(read_stdin)THEN
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WRITE(*,*) "Read from STDIN"
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ELSE
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itape_name = num1char
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WRITE(*,*) "Read from " // num1char
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END IF
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END SUBROUTINE parse
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!------------------------------------------------------------------------
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LOGICAL FUNCTION converged (x0, x1)
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REAL, DIMENSION(:,:) :: x0, x1
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REAL :: residual = 0.
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residual = sum(abs(x0-x1))
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converged = residual < absolute_tolerence
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END FUNCTION converged
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!------------------------------------------------------------------------
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SUBROUTINE solve
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INTEGER :: i,j,k,savenum
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REAL :: pflame,pflold,delf=0.
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CALL ludcmp(nx,100,100,1,0,0)
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CALL SET_IC
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t_now=0.
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t_uf=0.
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DO
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IF (t_now.ge.tf) EXIT
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IF (converged(yold, y1)) EXIT
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ncyc=ncyc+1
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t_uf=t_uf+dt
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t_now=t_now+dt
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yold = y1
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CALL SET_BC
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CALL RK4(fns)
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IF (t_uf.ge.dt_uf) THEN
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pflold=pflame
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pflame=0.
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DO i=1,nx
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pflame=pflame+y1(i,1)*hx
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uxt(i)=y1(i,1)
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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)
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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),' // L_f:',delf
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ENDIF
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IF (MOD(ncyc,int_pr).eq.0) THEN
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! WRITE(*,'(a2,f8.3,a9,f10.7,a11,i6,a7,f9.5)') &
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! 'T:',t_now,' // dT:',dt,' // NCYC:',ncyc,' // U:',u(1,1,1)
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ENDIF
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ENDDO
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CALL write_sd
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CALL write_pre
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CALL save_final_field
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WRITE(*,*)
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WRITE(*,*) 'Fin.'
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WRITE(*,*)
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END SUBROUTINE solve
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SUBROUTINE write_sd
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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(2,nx) :: ux,dux,d2ux
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REAL, DIMENSION(10,nx) :: sav
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sav=0.
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! refwr=pre*1.*exp(-ac/(1.+bc*c_cut))
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! minf=exp((c_ref-c_cut)*prof_wr)
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refwr=pre*1.*exp(-ac/(1.+bc*c_ref))
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WRITE(500,*) 'VARIABLES = "X","Yr","C","U","Wrate","|DEL(Y)|","Sdr"'
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WRITE(500,*) ' "Sdd","Sd","(1/C)/(dC/dx)","DIV(rho*Dmu*Gra(C))"'
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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=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*(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 (theta.le.c_ref) THEN
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wrate=min_wr
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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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dely=ABS(dux(1,i))
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sdr=wrate/dely
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sdd=-dm(i)*d2ux(1,i)/dely
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IF (dely.eq.0.) THEN
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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)
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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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sav(1,i)=sav(1,i)+yr
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sav(2,i)=sav(2,i)+c
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sav(3,i)=sav(3,i)+uu
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sav(4,i)=sav(4,i)+wrate
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sav(5,i)=sav(5,i)+dely
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sav(6,i)=sav(6,i)+sdr
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sav(7,i)=sav(7,i)+sdd
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sav(8,i)=sav(8,i)+sd
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sav(9,i)=sav(9,i)+onelw
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sav(10,i)=sav(10,i)+dd
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ENDDO
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DO i=1,nx
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WRITE(500,'(37e30.20)') (i-1)*hx,sav(1:10,i)
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ENDDO
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END SUBROUTINE write_sd
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SUBROUTINE save_final_field
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INTEGER :: i,j,k
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OPEN (305,FILE='sfield.bin',form='unformatted',status='unknown')
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DO i=1,nx
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WRITE (305) y1(i,1)
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ENDDO
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CLOSE (305)
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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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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 :: 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*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 (theta.le.c_ref) THEN
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wrate=min_wr
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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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S_L=S_L+wrate*hx
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ENDDO
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WRITE(*,'(a31,e14.8)') ' INTEGRAL( Wrate x dx ) => Sc :',S_L
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CALL dfnonp(nx,hx,ux(1,:),dux(1,:),1,1)
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DO i=(nx/10),nx-(nx/10)
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dy=dux(1,i)
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maxdy=MAX(ABS(dy),maxdy)
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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)
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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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END SUBROUTINE write_pre
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SUBROUTINE SET_BC
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y1(1,1)=1.-ctmp
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END SUBROUTINE SET_BC
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SUBROUTINE SET_IC
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INTEGER :: i, ifl, si
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REAL :: xi
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! initial flame thickness (0.2 pi n grids)
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ifl=INT(2.0*pi*0.1/hx)
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! initialize velocity field
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u=u0;
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! initial flame center (grid index)
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si=INT(nx*(1.-tar_lo))
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! initialize Yr field
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DO i=1,nx
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IF(i< nx-(si+ifl/2)) THEN
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xi=0.+ctmp
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ELSE IF(i> nx-(si-ifl/2)) THEN
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xi=1.
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ELSE
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xi=0.5+REAL(i-nx+si)/REAL(ifl)
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ENDIF
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! y1(i,1,1)=(1.-xi)*1.
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y1(i,1)=(1.-xi) ! reactant mass fraction
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ENDDO
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! initialize temperature field
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y1(:,2) = 1.0 - y1(:,1)
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! calculate flame position
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pflame=0.
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DO i=1,nx
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pflame=pflame+y1(i,1)*hx
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ENDDO
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END SUBROUTINE SET_IC
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SUBROUTINE init_solver
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INTEGER :: ierr
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CALL READ_INTRO
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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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ALLOCATE(yold(nx,2),STAT=ierr) ; yold=0.
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ALLOCATE(uxt(nx),STAT=ierr) ; uxt=0.
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ALLOCATE(duxt(nx),STAT=ierr) ; duxt=0.
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ALLOCATE(dm(nx),STAT=ierr) ; dm=diff
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END SUBROUTINE init_solver
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SUBROUTINE finalize_solver
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DEALLOCATE( u)
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DEALLOCATE(y1)
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DEALLOCATE(y2)
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DEALLOCATE(yf)
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DEALLOCATE(yold)
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DEALLOCATE(uxt)
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DEALLOCATE(duxt)
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DEALLOCATE(dm)
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END SUBROUTINE finalize_solver
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SUBROUTINE RK4(rhs)
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INTERFACE
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SUBROUTINE rhs(r1,f)
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REAL, INTENT(IN), DIMENSION(:,:) :: r1
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REAL, INTENT(OUT), DIMENSION(:,:) :: f
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END SUBROUTINE rhs
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END INTERFACE
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CALL substep(1,y1,y1,y2,yf)
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CALL substep(2,y1,y2,y1,yf)
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CALL substep(3,y2,y1,y2,yf)
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CALL substep(4,y1,y2,y1,yf)
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CALL substep(5,y2,y1,y2,yf)
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CONTAINS
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SUBROUTINE substep(istage, ri,r1,r2,f)
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REAL, DIMENSION(5), PARAMETER :: a=(/ 970286171893.d0/4311952581923., &
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6584761158862.d0/12103376702013., &
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2251764453980.d0/15575788980749., &
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26877169314380.d0/34165994151039., &
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0.d0 /), &
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b=(/ 1153189308089.d0/22510343858157., &
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1772645290293.d0/4653164025191., &
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-1672844663538.d0/4480602732383., &
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2114624349019.d0/3568978502595., &
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5198255086312.d0/14908931495163. /)
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INTEGER :: istage
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REAL, INTENT(INOUT),DIMENSION(:,:) :: ri,r1,r2
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REAL, INTENT(OUT),DIMENSION(:,:) :: f
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INTEGER :: i,j,k
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REAL :: at,bt
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CALL rhs(ri,f)
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IF(istage<5) THEN
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at=a(istage)*dt
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bt=(b(istage)-a(istage))*dt
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r1=r1+at*f
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r2=r1+bt*f
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ELSE
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bt=b(istage)*dt
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r1=r1+bt*f
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ENDIF
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END SUBROUTINE substep
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END SUBROUTINE RK4
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!------------------------------------------------------------------------
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SUBROUTINE fns(r1,f)
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REAL, INTENT(IN),DIMENSION(:,:) :: r1
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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,Lt,Dt
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! x-direction
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DO i=1,nx
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ux(1,i)=r1(i,1) ! Y
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ux(2,i)=r1(i,2) ! T
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ENDDO
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CALL dfnonp(nx,hx,ux(:,:),dux(:,:),2,1)
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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=rate_1step(ux(1,i), ux(2,i))
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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)*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)*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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! Boundary conditionS
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f(1,1)=0.
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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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END MODULE ysolve
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