/[escript]/trunk/finley/test/python/tp.py
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Annotation of /trunk/finley/test/python/tp.py

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Revision 1410 - (hide annotations)
Thu Feb 7 04:24:00 2008 UTC (12 years, 1 month ago) by gross
File MIME type: text/x-python
File size: 2007 byte(s)
a new version of the algebric upwinding a. flux limiter
1 gross 1368 from esys.escript import *
2 gross 1410 from esys.escript.linearPDEs import LinearPDE, TransportPDE
3 gross 1370 from esys.finley import Rectangle
4    
5 gross 1410 # dom=Rectangle(12,8,l0=1.5)
6     # dom=Rectangle(24,16,l0=1.5)
7     dom=Rectangle(48,32,l0=1.5)
8     # dom=Rectangle(8*48,8*32,l0=1.5)
9 gross 1407 # dom=Rectangle(120,80,l0=1.5)
10 gross 1410 V=Scalar(1.,Function(dom))*[-1.,0]
11     THETA=0.
12     fc=TransportPDE(dom,num_equations=1,theta=THETA)
13     fc.setTolerance(1.e-12)
14     fc.setValue(M=Scalar(1.,Function(dom)),C=V)
15 gross 1370 x=dom.getX()
16 gross 1410 x_0=[0.5,0.5]
17     sigma=0.075
18     u0=1.
19 gross 1371 for i in range(dom.getDim()):
20 gross 1410 u0=u0*exp(-(x[i]-x_0[i])**2/sigma**2)
21 gross 1371
22 gross 1410 u0=whereNonPositive(abs(x[0]-0.4)-0.2)*whereNonPositive(abs(x[1]-0.5)-0.2)
23     # f1=0.5
24     # f2=2.
25     # u0=f2*clip(x[0]-0.5,0.)-clip(0.5-x[0],0.)*f1+f1*0.5
26     # u0=exp(-3*(x[0]-2.)**2)
27     # u0=x[0]
28     u0/=Lsup(u0)
29 gross 1370 c=0
30 gross 1410 saveVTK("u.%s.xml"%c,u=u0)
31     fc.setInitialSolution(u0)
32 gross 1371
33 gross 1410 t_end=0.6
34     dt=2.49999e-2*0+6.2499999e-02/4
35     dt_out=2.49999e-2*0+6.2499999e-02/4
36     c_stop=1
37     n_out=int(t_end/dt+0.5)
38     print n_out
39 gross 1370 t=0.
40 gross 1410 t_out=0
41     c_out=0
42     c=0
43     print t,": range u",inf(u0),sup(u0),integrate(u0,Function(dom))
44     while t<t_end and c< c_stop:
45 gross 1370 print "time step t=",t+dt
46     u=fc.solve(dt)
47 gross 1410 print t+dt,": range u",inf(u),sup(u),integrate(u,Function(dom))
48 gross 1370 c+=1
49     t+=dt
50 gross 1410 if t>=t_out+dt_out:
51     c_out,t_out=c_out+1,t_out+dt_out
52     saveVTK("u.%s.xml"%c_out,u=u)
53     print "write time step ",c,"(t=%s) to file u.%s.xml"%(t,c_out)
54    
55     if True:
56     pde=LinearPDE(dom)
57     pde.setValue(D=1.,C=-THETA*dt*V)
58     pde.setTolerance(1e-12)
59     t=0.
60     t_out=0
61     c_out=0
62     c=0
63     u=u0
64     print t,": range u2",inf(u0),sup(u0),integrate(u0,Function(dom))
65     while t<t_end and c< c_stop:
66     print "time step t=",t+dt
67     pde.setValue(Y=u+(1.-THETA)*dt*inner(V,grad(u)))
68     u=pde.getSolution(verbose=True)
69     print t+dt,": range u2",inf(u),sup(u),integrate(u,Function(dom))
70     c+=1
71     t+=dt
72     if t>=t_out+dt_out:
73     c_out,t_out=c_out+1,t_out+dt_out
74     saveVTK("u2.%s.xml"%c_out,u=u)
75     print "write time step ",c,"(t=%s) to file u2.%s.xml"%(t,c_out)

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