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Core2D.py
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181 lines (157 loc) · 4.33 KB
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import numpy as np
import matplotlib.pyplot as plt
import gc
d=1.0
L=41.0
r=0.0
vac=0.0
##N=int((L+2*r)/d)
n_vac=int(vac/d)
n_r=int(r/d)
n_c=int(L/d)
n=2*n_vac+2*n_r+n_c
print n_vac
print n_r
print n_c
print n
N=(n+2)**2
Dvac=0.16
Svac=1e8
##Dr=0.16
##Sar=0.02
Dr=0.16
Sar=0.02
Dp=0.16
Sap=20.0
Dc=9.21
Sac=0.1532
nuSf_val=0.157
######################################################
##'Utworzenie macierzy nuSf (odpowiadajacej ukladowi X Y)
##'i przerobienie na wektor
nuSf_mac=np.zeros(((n+2),(n+2)))
for i in range (1,n+1):
if i>(n_vac+n_r) and i<=(n_vac+n_r+n_c):
nuSf_mac[i,n_vac+n_r+1:(n_vac+n_r+n_c)+1]=nuSf_val
## nuSf_mac[i,i]=1
## nuSf_mac[i,n+1-i]=1
nuSf=np.zeros(n**2)
for j in range (1,(n+1)):
for i in range (1,(n+1)):
nuSf[i-1+n*(j-1)]=nuSf_mac[j,i]
######################################################
##'Utworzenie macierzy D (odpowiadajacej ukladowi X Y)
##'i przerobienie na wektor
D_mac=np.zeros(((n+2),(n+2)))
D_mac[0,:]=Dvac
D_mac[(n+2)-1,:]=Dvac
for i in range (1,n+1):
D_mac[i,:]=Dvac
if i>n_vac and i<=(n_vac+2*n_r+n_c):
D_mac[i,n_vac+1:n+1-n_vac]=Dr
if i>(n_r+n_vac) and i<=(n_r+n_vac+n_c):
D_mac[i,n_r+n_vac+1:(n_r+n_vac+n_c)+1]=Dc
## D_mac[i,i]=1
## D_mac[i,n+1-i]=1
######################################################
##'Utworzenie macierzy Sa (odpowiadajacej ukladowi X Y)
##'i przerobienie na wektor
Sa_mac=np.zeros(((n+2),(n+2)))
Sa_mac[0,:]=Svac
Sa_mac[(n+2)-1,:]=Svac
for i in range (1,n+1):
Sa_mac[i,:]=Svac
if i>n_vac and i<=(n_vac+2*n_r+n_c):
Sa_mac[i,n_vac+1:n+1-n_vac]=Sar
if i>(n_vac+n_r) and i<=(n_vac+n_r+n_c):
Sa_mac[i,n_vac+n_r+1:(n_vac+n_r+n_c)+1]=Sac
## Sa_mac[i,i]=0.5
## Sa_mac[i,n+1-i]=0.5
######################################################
##D_mac2=[D,D]
##Sa_mac2=[Sa,Sa,Sa,Sa,Sa]
##nuSf_mac2=[nuSf,nuSf]
#####wyrysowanie macierzy
##plt.matshow(D_mac)
##plt.matshow(D_mac2)
##plt.matshow(Sa_mac)
##plt.matshow(Sa_mac2)
##plt.matshow(nuSf_mac)
##plt.matshow(nuSf_mac2)
##plt.show()
######################
for y in range (0,n,4):
########PRET KONTROLNY##########
###glebokosc preta:
## y=
###polozenie preta
x=int(round(n/2.0))
###wypelnienie macierzy
for i in range(1+n_vac,y+1+n_vac):
D_mac[i,x]=Dp
Sa_mac[i,x]=Sap
##plt.matshow(Sa_mac)
##plt.show()
ran=range(1+(n+2),(n**2+3*n)+1)
N_B=n**2+2*n-2
ran_del=range(0,n+3)
ran_A=range(0,n**2)
F=np.ones(n**2, dtype=np.float64)
S=np.zeros(n**2, dtype=np.float64)
A=np.zeros((n**2,n**2), dtype=np.float64)
for k in ran_A:
i=(k%n)+1
j=int(k/n)+1
## print k
## print i
## print j
if k-n>=0:
A[k,k-(n)]=-1/(2*d**2)*(D_mac[j,i]+D_mac[j-1,i])
if k-1>=0:
A[k,k-1] = -1/(2*d**2)*(D_mac[j,i]+D_mac[j,i-1])
A[k,k] = 1/(2*d**2)*(D_mac[j+1,i]+D_mac[j,i+1]+4*D_mac[j,i]
+D_mac[j,i-1]+D_mac[j-1,i])+Sa_mac[j,i]
if k+1<n**2:
A[k,k+1] = -1/(2*d**2)*(D_mac[j,i]+D_mac[j,i+1])
if k+n<n**2:
A[k,k+(n)]=-1/(2*d**2)*(D_mac[j,i]+D_mac[j+1,i])
## print A
#wyrysowanie macierzy)
##plt.matshow(A)
##plt.show()
######################
## del(nuSf_mac)
## del(D_mac)
## del(Sa_mac)
gc.collect
lmd = 1.0
S=1.0/lmd*nuSf*F
Fnew=np.copy(F)
eps=1e-6
while True:
## print Fnew[0:n-1]
## for i in range(0,n):
## print Fnew[i*n]
Fnew=np.linalg.solve(A,S)
lmd_new=sum(nuSf*Fnew*d)/sum(nuSf*F)*lmd
S=nuSf*Fnew/lmd_new
F=np.copy(Fnew)
if abs((lmd_new-lmd)/lmd_new)<eps:
break
lmd=lmd_new
print lmd
print 'Policzono'
print int(y*100/n+1)
F_mac=np.zeros((n,n))
for k in range(0,n**2):
F_mac[int(k/(n)),k%(n)]=F[k]
# plt.plot(F_mac[int((n)/2),0:n])
plt.plot(F_mac[0:n,int(round((n)/2.0))],'--')
plt.ylabel('Y Flux profile')
plt.xlabel('X [cm]')
# flux=np.sum(F_mac)
# plt.plot(int(y*100/n+1),flux, 'bo')
# plt.ylabel('Total flux')
# plt.xlabel('Rod position')
## plt.xlim( 0, 100 )
plt.show()