trình bày bài toán CODE ANSYS - MATLAB
Trang 1GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
PHỤ LỤC
***
% Bài toán 1a
% Problem 1D, Gaussian equation
% Emission concentration (x,y=0,z=0)
% connect to Function "Library2(j,x)"
global sy sz p
% Input
h=68.58; D=3.81; M=47.25; u_ref=2.5; u_kt=12.2;
T_kt=394.3; T_mt=291.48; P=1000;
% Solve _
count=100;
x=linspace(0.1,5000,count);
y=0;
% + dispersion parameter sma_y, sma_z
for i1=1:6
for i2=1:count
j=i1;
xx=x(i2);
Library2(j,xx);
u(i1)=u_ref* (h/10)^p; % the stack height wind speed
% plume rise
dta_h=u_kt* D/u(i1)* (1.5+ 2.68*10^(-3)*P*D*(T_kt-T_mt)/T_kt);
%
H(i1)=h+dta_h;
sma_y(i1,i2)=sy;
sma_z(i1,i2)=sz;
end
end
clear i1;
clear i2;
% + emission concentration (x,y=0,z=0)
for i1=1:6
for i2=1:count
C_x(i1,i2)=M/(2*pi* sma_y(i1,i2)* sma_z(i1,i2))*
exp(-(H(i1)^2/(2* (sma_z(i1,i2)^2))));
end
end
clear i1; clear i2;
% + Plot
for i1=1:6
plot(x,C_x(i1,:),'LineWidth',i1/2);
hold on;
grid on;
end
Trang 2GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
% _Bài toán 1b _
% Problem 2D, Gauss
% connect to function "Library2(j,x)"
global sy sz p
% Input _
h=68.58; D=3.81;M=47.25;
u_ref=2.5; u_kt=12.2;
T_kt=394.3; T_mt=291.48; P=1000;
% Solve
% + distance x,y
count=100;
x=linspace(0.1,5000,count); y=linspace(-1000,1000,count);
% + dispersion parameter sma_y, sma_z
j=1;
for i=1:count
xx=x(i);
Library2(j,xx);
u=u_ref* (h/10)^p;
% - effective stack height
% plume rise
dta_h=u_kt* D/u* (1.5+ 2.68*10^(-3)*P*D*(T_kt-T_mt)/T_kt);
%
H=h+dta_h;
sma_y(i)=sy; sma_z(i)=sz;
end
clear i;
% + emission concentration (x,y, z=0)
for i1=1:count % loop x
for i2=1:count % loop y
C_xy(i1,i2)= M/(2*pi* sma_y(i1)* sma_z(i1))*
exp(-(H^2/(2* (sma_z(i1)^2)))) *
exp(-(y(i2)^2/(2* (sma_y(i1)^2))));
end
end
clear i1; clear i2;
% + Plot _
i=1;
if i==1
meshz (y,x,C_xy)
axis([min(y) max(y) 0 max(x) 0 6*10^(-4)])
view(96,8)
else
meshc (y,x,C_xy)
hold on
daspect([1 1 1])
view(-270,90)
end
function Library2a(j,x)
Trang 3GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
% Library2a _
% Ap dung de tinh sma_y, sma_z tai khu vuc do thi
global sy sz p
Y=[0.32*x*(1+0.0004*x)^(-1/2)
0.32*x*(1+0.004*x)^(-1/2)
0.22*x*(1+0.004*x)^(-1/2)
0.16*x*(1+0.004*x)^(-1/2)
0.11*x*(1+0.004*x)^(-1/2)
0.11*x*(1+0.004*x)^(-1/2)];
sy=Y(j);
Z=[0.24*x*(1+0.001*x)^(-1/2)
0.24*x*(1+0.001*x)^(-1/2)
0.20*x
0.14*x*(1+0.003*x)^(-1/2)
0.08*x*(1+0.015*x)^(-1/2)
0.08*x*(1+0.015*x)^(-1/2)];
sz=Z(j);
hs_p= [0.15; 0.15; 0.2; 0.25; 0.3; 0.3];
p=hs_p(j);
% Library2b _
% Ap dung de tinh sma_y, sma_z tai khu vuc nong thon
global sy sz p
Y=[0.22*x*(1+0.0001*x)^(-1/2)
0.16*x*(1+0.001*x)^(-1/2)
0.11*x*(1+0.001*x)^(-1/2)
0.08*x*(1+0.001*x)^(-1/2)
0.06*x*(1+0.001*x)^(-1/2)
0.04*x*(1+0.001*x)^(-1/2)];
sy=Y(j);
Z=[0.2*x
0.12*x
0.08*x*(1+0.0002*x)^(-1/2)
0.06*x*(1+0.0015*x)^(-1/2)
0.03*x*(1+0.0003*x)^(-1)
0.016*x*(1+0.0003*x)^(-1)];
sz=Z(j);
hs_p= [0.15; 0.15; 0.2; 0.25; 0.3; 0.3];
p=hs_p(j);
Trang 4GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
% _Bài toán 2 _
! MÔ HÌNH 2a
/units,si
/prep7
!
rect,0,2000,0,500
rect,500,900,0,100 ! building 1
rect,1400,2000,0,150 ! building 2
ASBA,1,2
ASBA,4,3
!+
lsel,s,,,1
lsel,a,,,11
lesize,all,,,20
lsel,s,,,4
lsel,a,,,13
lesize,all,,,25
lsel,s,,,3
lesize,all,,,100
lsel,s,,,5
lesize,all,,,35
lsel,s,,,6,8,2
lesize,all,,,5
lsel,s,,,7
lesize,all,,,20
lsel,s,,,12
lesize,all,,,5
!+
et,1,FLUID141
!+ Meshing
asel,s,,,1
mshkey,0
amesh,1
!+ Boundary Conditions
! Veclocity
lsel,s,,,5,8
lsel,a,,,11,12
lsel,a,,,13
nsll,,1
d,all,VX,0
d,all,VY,0
! Pressure
lsel,s,,,1,3
nsll,,1
d,all,pres,0
! Velocity fluctuation
!$ Value $ u_ref=9 ! velocity reference p=0.15 ! coefficent p
! lsel,s,,,4 nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO alls /solu
! FLOTRAN Analysis Parameters fldata14,temp,nomi,23
fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true save
solve
Trang 5GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 2b
/units,si
/prep7
! + Problem Domain
rect,0,2000,0,500
rect,500,600,0,100 ! building 1
rect,1400,2000,0,15 !bulding 2
ASBA,1,2
ASBA,4,3
!+
lsel,s,,,1
lsel,a,,,11
lesize,all,,,20
lsel,s,,,4
lsel,a,,,13
lesize,all,,,25
lsel,s,,,3
lesize,all,,,100
lsel,s,,,5
lesize,all,,,45
lsel,s,,,6,8,2
lesize,all,,,5
lsel,s,,,7
lesize,all,,,20
lsel,s,,,12
lesize,all,,,5
!+
et,1,FLUID141
!+ Meshing
asel,s,,,1
mshkey,0
amesh,1
!+ Boundary Conditions
! Veclocity
lsel,s,,,5,8
lsel,a,,,11,12
lsel,a,,,1
lsel,a,,,13
nsll,,1
d,all,VX,0
d,all,VY,0
! Pressure
lsel,s,,,1,3
nsll,,1
d,all,pres,0
! Velocity fluctuation
!$ Value $ u_ref=9 p=0.15
!!!!
lsel,s,,,4 nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO alls
/solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,23
fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si
fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true save
solve
Trang 6GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 2c
/units,si
/prep7
! + Problem Domain
rect,0,2000,0,500
K, ,500,0
K, ,700,100
K, ,900,0
A,5,6,7
ASBA,1,2
!+
lsel,s,,,2,4,2
lesize,all,,,15
lsel,s,,,9
lesize,all,,,25
lsel,s,,,3
lesize,all,,,50
lsel,s,,,5,6
lsel,a,,,8
lesize,all,,,20
!+
et,1,FLUID141
!+ Meshing
asel,s,,,3
mshkey,0
amesh,3
!+ Boundary Conditions
! Veclocity
lsel,s,,,5,6
lsel,a,,,8,9
nsll,,1
d,all,VX,0
d,all,VY,0
!Pressure
lsel,s,,,2,3
nsll,,1
d,all,pres,0
! Velocity fluctuation
!$ Value $ u_ref=9 p=0.15
!+
lsel,s,,,4 nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO alls /solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,23
fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true save
solve
Trang 7GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 3a (tòa nhà rộng)
/UNIT,SI
/PREP7
RECT,0,150,0,50 ! mien khao sat
RECT,45,69,0,12 ! toa nha
RECT,57-0.3,57+0.3,12,15
ASBA,1,2
ASBA,4,3
LSEL,S,,,1
LSEL,A,,,5
LESIZE,ALL,,,12
LSEL,S,,,6
LSEL,A,,,8
LESIZE,ALL,,,12
LSEL,S,,,13
LESIZE,ALL,,,45
LSEL,S,,,2
LSEL,A,,,4
LESIZE,ALL,,,50
LSEL,S,,,3
LESIZE,ALL,,,150
LSEL,S,,,14
LESIZE,ALL,,,90
LSEL,S,,,10
LSEL,A,,,12
LESIZE,ALL,,,3
LSEL,S,,,11
LESIZE,ALL,,,2
!************************!
ET,1,FLUID141
ASEL,S,,,1
MSHKEY,0
AMESH,1
Telement=1
*SET,Texp,100
*SET,Vexp,5
!********dieu kien bien!
LSEL,S,,,1
LSEL,A,,,5,6
LSEL,A,,,8
LSEL,A,,,10
LSEL,A,,,12,14
NSLL,,1
D,ALL,VX,0
D,ALL,VY,0
LSEL,S,,,2,3
NSLL,,1
D,ALL,PRES,0
LSEL,S,,,11 ! mieng khoi thai NSLL,,1
D,ALL,VX,0 D,ALL,VY,Vexp D,ALL,TEMP,Texp
! Bien thien van toc gio u_ref=2 ! van toc gio tham khao (10m) p=0.15 ! he so p
lsel,s,,,4 nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO Alls
/solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,25 fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true
! THAM SO DIEU KIEN _
TTIME=40 ! thời gian khảo sát fldata1,solu,temp,t
fldata1,solu,turb,t fldata1,solu,tran,t fldata18,meth,temp,3 fldata21,conv,temp,1.e-10 ! do hoi tu fldata25,relx,temp,1.0
fldata4,time,glob,10 fldata4,time,BC,0 fldata4,time,step,5 fldata4A,time,appe,5 fldata4,time,numb,1.0e06 fldata4,time,tend,TTIME save
solve finish
Trang 8GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 3b (tòa nhà hẹp)
/UNIT,SI
/PREP7
RECT,0,150,0,50 ! mien khao sat
RECT,51,64,0,12 ! toa nha
RECT,57-0.3,57+0.3,12,15
ASBA,1,2
ASBA,4,3
LSEL,S,,,1
LSEL,A,,,5
LESIZE,ALL,,,12
LSEL,S,,,6
LSEL,A,,,8
LESIZE,ALL,,,12
LSEL,S,,,13
LESIZE,ALL,,,45
LSEL,S,,,2
LSEL,A,,,4
LESIZE,ALL,,,50
LSEL,S,,,3
LESIZE,ALL,,,150
LSEL,S,,,14
LESIZE,ALL,,,90
LSEL,S,,,10
LSEL,A,,,12
LESIZE,ALL,,,3
LSEL,S,,,11
LESIZE,ALL,,,2
ET,1,FLUID141
ASEL,S,,,1
MSHKEY,0
AMESH,1
Telement=1
!***********************!
*SET,Texp,100
*SET,Vexp,5
!********dieu kien bien!
LSEL,S,,,1
LSEL,A,,,5,6
LSEL,A,,,8
LSEL,A,,,10
LSEL,A,,,12,14
NSLL,,1
D,ALL,VX,0
D,ALL,VY,0
LSEL,S,,,2,3
NSLL,,1
D,ALL,PRES,0
LSEL,S,,,11 ! mieng khoi thai NSLL,,1
D,ALL,VX,0 D,ALL,VY,Vexp D,ALL,TEMP,Texp
! Bien thien van toc gio u_ref=2 ! van toc gio tham khao (10m) p=0.15 ! he so p
lsel,s,,,4 nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO alls
/solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,25 fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true
! THAM SO DIEU KIEN _
TTIME=40 fldata1,solu,temp,t fldata1,solu,turb,t fldata1,solu,tran,t fldata18,meth,temp,3 fldata21,conv,temp,1.e-10 ! do hoi tu fldata25,relx,temp,1.0
fldata4,time,glob,10 fldata4,time,BC,0 fldata4,time,step,5 fldata4A,time,appe,5 fldata4,time,numb,1.0e06 fldata4,time,tend,TTIME save
solve finish
Trang 9GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 4
! điểm phát thải nằm trong vùng bóng rợp khí động
/UNIT,SI
/PREP7
RECT,0,200,0,70 ! mien khao sat
RECT,45,69,0,24 ! toa nha 1
RECT,69,79,0,10 ! toa nha 2
RECT,78+0.5,78+1.2,0,15
ASBA,1,2
ASBA,5,3
ASBA,1,4
LSEL,S,,,2,4,2
LESIZE,ALL,,,70
LSEL,S,,,3
LESIZE,ALL,,,200
LSEL,S,,,5
LESIZE,ALL,,,14
LSEL,S,,,6
LESIZE,ALL,,,121
LSEL,S,,,7,8
LSEL,S,,,9
LESIZE,ALL,,,9
LSEL,S,,,12
LESIZE,ALL,,,5
LSEL,S,,,14
LESIZE,ALL,,,15
LSEL,S,,,15
LESIZE,ALL,,,2
LSEL,S,,,17
LESIZE,ALL,,,25
ET,2,FLUID141
ASEL,S,,,2
MSHKEY,0
AMESH,2
Telement=2
!***********************!
*SET,Texp,100
*SET,Vexp,5
!********dieu kien bien!
LSEL,S,,,5,9
LSEL,A,,,12,14,2
LSEL,A,,,15,17,2
NSLL,,1
D,ALL,VX,0
D,ALL,VY,0
LSEL,S,,,2,3
NSLL,,1
D,ALL,PRES,0
LSEL,S,,,15 ! mieng khoi thai NSLL,,1
D,ALL,VX,0 D,ALL,VY,Vexp D,ALL,TEMP,Texp
! Bien thien van toc gio u_ref=2
p=0.15 lsel,s,,,4 nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO Alls
/solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,25 fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true
! THAM SO DIEU KIEN _
TTIME=35 fldata1,solu,temp,t fldata1,solu,turb,t fldata1,solu,tran,t fldata18,meth,temp,3 fldata21,conv,temp,1.e-10 fldata25,relx,temp,1.0 fldata4,time,glob,10 fldata4,time,BC,0 fldata4,time,step,5 fldata4A,time,appe,5 fldata4,time,numb,1.0e06 fldata4,time,tend,TTIME save
solve finish
Trang 10GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 5
! địa hình thung lũng
/UNIT,SI
/PREP7
K,,0,0
K,,1500,600
K,,0,600
K,,200,0
K,,300,300
K,,400,300
K,,600,0
K,,800,0
K,,1200,200
K,,1500,200
LSTR, 1, 4
LSTR, 4, 5
LSTR, 5, 6
LSTR, 6, 7
LSTR, 7, 8
LSTR, 8, 9
LSTR, 9, 10
LSTR, 10, 2
LSTR, 2, 3
LSTR, 3, 1
!*
LFILLT,2,3,50, ,
!*
LFILLT,3,4,50, ,
!*
LFILLT,6,7,700, ,
FLST,2,13,4
FITEM,2,1
FITEM,2,2
FITEM,2,11
FITEM,2,3
FITEM,2,12
FITEM,2,4
FITEM,2,5
FITEM,2,6
FITEM,2,13
FITEM,2,7
FITEM,2,8
FITEM,2,9
FITEM,2,10
AL,P51X
RECT,650,650+20,0,250
RECT,650+20,720,0,50
ASBA,1,2
ASBA,4,3 K,50,1000,0 K,51,1000,160 K,52,1050,160 K,53,1050,200 K,54,1100,220 K,55,1150,200 K,56,1150,0 A,50,51,52,53,54,55,56 ASBA,1,2
!~~~~~~~~~~~~~~~~~
LESIZE,ALL,5 ET,3,FLUID141 ASEL,S,,,3 MSHKEY,0 AMESH,3 Telement=3
*SET,Texp,100
*SET,Vexp,5
!Chon bien van toc LSEL,,P
NSLL,,1 D,ALL,VX,0 D,ALL,VY,0
!chon bien ap suat LSEL,,P
NSLL,,1 D,ALL,PRES,0
! chon bien mieng khoi thai LSEL,,P
NSLL,,1 D,ALL,VX,0 D,ALL,VY,Vexp D,ALL,TEMP,Texp
! Bien thien van toc gio u_ref=3
p=0.15 LSEL,,P nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p nn=ndnext(nn)
*ENDDO alls
/solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,25 fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true
!THAM SO DIEU KIEN TTIME=280
fldata1,solu,temp,t fldata1,solu,turb,t fldata1,solu,tran,t fldata18,meth,temp,3
fldata21,conv,temp,1.e-10 fldata25,relx,temp,1.0 fldata4,time,glob,10 fldata4,time,BC,0 fldata4,time,step,5 fldata4A,time,appe,5 fldata4,time,numb,1.0e06 fldata4,time,tend,TTIME save
solve finish
Trang 11GVHD: PGS.TS Trương Tích Thiện SVTH: Võ Kiên Truân
! MÔ HÌNH 6
/UNIT,SI
/PREP7
RECT,0,1400,0,1000
K,10,700-30,0
K,11,700-10,300
K,12,700+10,300
K,13,700+30,0
A,10,11,12,13
ASBA,1,2
K,20,600,0
K,21,600,30
K,22,600-70,30
K,23,600-70,50
K,24,600-40,50
K,25,600-70,90
K,26,600-220,90
K,27,600-250,50
K,28,600-220,50
K,29,600-220,30
K,30,600-300,30
K,31,600-350,0
A,20,21,22,23,24,25,26,2
7,28,29,30,31
ASBA,3,1
K,40,800,0
K,41,800,70
K,42,800+80,70
K,43,800+80,150
K,44,800+100,170
K,45,800+120,150
K,46,800+120,70
K,47,800+250,70
K,48,800+250,0
A,40,41,42,43,44,45,46,4
7,48
ASBA,2,1
!^^^^^^^^^^^^^^^^^^^^^
LESIZE,ALL,5
ET,3,FLUID141
ASEL,S,,,3
MSHKEY,0
AMESH,3
Telement=3
*SET,Texp,100
*SET,Vexp,10
!Chon bien van toc LSEL,,P
NSLL,,1 D,ALL,VX,0 D,ALL,VY,0
!chon bien ap suat LSEL,,P
NSLL,,1 D,ALL,PRES,0
! chon bien mieng khoi thai LSEL,,P
NSLL,,1 D,ALL,VX,0 D,ALL,VY,Vexp D,ALL,TEMP,Texp
! Bien thien van toc gio u_ref=3
p=0.15 LSEL,,P nsll,,1 d,all,VY,0
*GET,ND_MAX,NODE,,COUNT
*GET,NN,NODE,,NUM,MIN
*DO,I,1,ND_MAX y=ny(nn)
d,nn,VX,u_ref*(y/10)**p ! xem lai thu co dung ko
nn=ndnext(nn)
*ENDDO alls
/solu
! Tham so dong
!FLOTRAN INPUT fldata14,temp,nomi,25 fldata7,prot,dens,air-si fldata7,prot,visc,air-si fldata7,prot,cond,air-si fldata7,prot,spht,air-si
fldata13,vary,dens,true fldata13,vary,visc,true fldata13,vary,cond,true
!THAM SO DIEU KIEN TTIME=100
fldata1,solu,temp,t fldata1,solu,turb,t fldata1,solu,tran,t fldata18,meth,temp,3 fldata21,conv,temp,1.e-10 fldata25,relx,temp,1.0
fldata4,time,glob,10 fldata4,time,BC,0 fldata4,time,step,5 fldata4A,time,appe,5 fldata4,time,numb,1.0e06 fldata4,time,tend,10 save
!solve
!finish