/[escript]/trunk/finley/test/python/FCT_test1.py
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Contents of /trunk/finley/test/python/FCT_test1.py

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Revision 2344 - (show annotations)
Mon Mar 30 02:13:58 2009 UTC (10 years, 5 months ago) by jfenwick
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Change __url__ to launchpad site

1
2 ########################################################
3 #
4 # Copyright (c) 2003-2008 by University of Queensland
5 # Earth Systems Science Computational Center (ESSCC)
6 # http://www.uq.edu.au/esscc
7 #
8 # Primary Business: Queensland, Australia
9 # Licensed under the Open Software License version 3.0
10 # http://www.opensource.org/licenses/osl-3.0.php
11 #
12 ########################################################
13
14 __copyright__="""Copyright (c) 2003-2008 by University of Queensland
15 Earth Systems Science Computational Center (ESSCC)
16 http://www.uq.edu.au/esscc
17 Primary Business: Queensland, Australia"""
18 __license__="""Licensed under the Open Software License version 3.0
19 http://www.opensource.org/licenses/osl-3.0.php"""
20 __url__="https://launchpad.net/escript-finley"
21
22 #
23 # upwinding test moving a Gaussian hill around
24 #
25 # we solve U_,t + v_i u_,i =0
26 #
27 # the solution is given as u(x,t)=1/(4*pi*E*t)^{dim/2} * exp ( - |x-x_0(t)|^2/(4*E*t) )
28 #
29 # where x_0(t) = [ cos(OMEGA0*T0)*0.5,-sin(OMEGA0*T0)*0.5 ] and v=[-y,x]*OMEGA0 for dim=2 and
30 #
31 # x_0(t) = [ cos(OMEGA0*T0)*0.5,-sin(OMEGA0*T0)*0.5 ] and v=[-y,x]*OMEGA0 for dim=3
32 #
33 # the solution is started from some time T0>0.
34 #
35 # We are using five quality messurements for u_h
36 #
37 # - inf(u_h) > 0
38 # - sup(u_h)/sup(u(x,t)) = sup(u_h)*(4*pi*E*t)^{dim/2} ~ 1
39 # - integrate(u_h) ~ 1
40 # - | x_0h-x_0 | ~ 0 where x_0h = integrate(x*u_h)
41 # - sigma_h/4*E*t ~ 1 where sigma_h=sqrt(integrate(length(x-x0h)**2 * u_h) * (DIM==3 ? sqrt(2./3.) :1 )
42 #
43 #
44 from esys.escript import *
45 from esys.escript.linearPDEs import LinearSinglePDE, TransportPDE
46 from esys.finley import Rectangle, Brick
47 from math import pi, ceil
48 NE=128
49 NE=4
50 DIM=2
51 THETA=0.5
52 OMEGA0=1.
53 ALPHA=pi/4
54 T0=0
55 T_END=2.*pi
56 dt=1e-3*10*10
57 E=1.e-3
58 TEST_SUPG=False or True
59
60
61 if DIM==2:
62 dom=Rectangle(NE,NE)
63 else:
64 dom=Brick(NE,NE,NE)
65 u0=dom.getX()[0]
66 # saveVTK("u.%s.xml"%0,u=u0)
67 # print "XX"*80
68 dom.setX(2*dom.getX()-1)
69
70 # set initial value
71 x=dom.getX()
72 r=sqrt(x[0]**2+(x[1]-1./3.)**2)
73 # u0=whereNegative(r-1./3.)*wherePositive(wherePositive(abs(x[0])-0.05)+wherePositive(x[1]-0.5))
74
75 x=Function(dom).getX()
76 if DIM == 2:
77 V=OMEGA0*(x[0]*[0,-1]+x[1]*[1,0])
78 else:
79 V=OMEGA0*(x[0]*[0,cos(ALPHA),0]+x[1]*[-cos(ALPHA),0,sin(ALPHA)]+x[2]*[0.,-sin(ALPHA),0.])
80 #===================
81 fc=TransportPDE(dom,num_equations=1,theta=THETA)
82 x=Function(dom).getX()
83 fc.setValue(M=Scalar(1.,Function(dom)),C=V)
84 #==============
85 if TEST_SUPG:
86 supg=LinearSinglePDE(dom)
87 supg.setValue(D=1.)
88 supg.setSolverMethod(supg.LUMPING)
89 dt_supg=inf(dom.getSize()/length(V))
90 u_supg=u0*1.
91
92 c=0
93 # saveVTK("u.%s.xml"%c,u=u0)
94 fc.setInitialSolution(u0)
95 t=T0
96 print "QUALITY FCT: time = %s pi"%(t/pi),inf(u0),sup(u0),integrate(u0)
97 while t<T_END:
98 print "time step t=",t+dt
99 u=fc.solve(dt, verbose=True)
100 print "QUALITY FCT: time = %s pi"%(t+dt/pi),inf(u),sup(u),integrate(u)
101 if TEST_SUPG:
102 #========== supg tests ================
103 nn=max(ceil(dt/dt_supg),1.)
104 dt2=dt/nn
105 nnn=0
106 while nnn<nn :
107 supg.setValue(Y=u_supg+dt2/2*inner(V,grad(u_supg)))
108 u2=supg.getSolution()
109 supg.setValue(Y=u_supg+dt2*inner(V,grad(u2)))
110 u_supg=supg.getSolution()
111 nnn+=1
112 c+=1
113 t+=dt
114 if TEST_SUPG:
115 print "QUALITY SUPG: time = %s pi"%(t/pi),inf(u_supg),sup(u_supg),integrate(u_supg)
116 # saveVTK("u2.%s.xml"%c,u=u,u_supg=u_supg)
117 else:
118 # saveVTK("u.%s.xml"%c,u=u)
119 pass
120 # if c == 20: 1/0

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