/[escript]/trunk/doc/examples/usersguide/wave.py
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Contents of /trunk/doc/examples/usersguide/wave.py

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Revision 5707 - (show annotations)
Mon Jun 29 03:59:06 2015 UTC (3 years, 6 months ago) by sshaw
File MIME type: text/x-python
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adding copyright headers to files without copyright info, moved header to top of file in some cases where it wasn't
1 ##############################################################################
2 #
3 # Copyright (c) 2003-2015 by The University of Queensland
4 # http://www.uq.edu.au
5 #
6 # Primary Business: Queensland, Australia
7 # Licensed under the Open Software License version 3.0
8 # http://www.opensource.org/licenses/osl-3.0.php
9 #
10 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
11 # Development 2012-2013 by School of Earth Sciences
12 # Development from 2014 by Centre for Geoscience Computing (GeoComp)
13 #
14 ##############################################################################
15 from __future__ import division, print_function
16
17 __copyright__="""Copyright (c) 2003-2015 by The University of Queensland
18 http://www.uq.edu.au
19 Primary Business: Queensland, Australia"""
20 __license__="""Licensed under the Open Software License version 3.0
21 http://www.opensource.org/licenses/osl-3.0.php"""
22 __url__="https://launchpad.net/escript-finley"
23
24 import matplotlib
25 matplotlib.use('agg') #For interactive use, you can comment out this line
26 #It's just here to make testing easier
27 import matplotlib.pyplot as plt
28 from numpy import zeros,ones
29 from esys.escript import *
30 from esys.escript.linearPDEs import LinearPDE, SolverOptions
31 from esys.escript.pdetools import Locator
32 try:
33 from esys.dudley import Brick
34 HAVE_DUDLEY = True
35 except ImportError:
36 HAVE_DUDLEY = False
37 from esys.weipa import saveVTK
38
39 if not HAVE_DUDLEY:
40 print("Dudley module not available")
41 else:
42 ne=32 # number of cells in x_0 and x_1 directions
43 width=10000. # length in x_0 and x_1 directions
44 lam=3.462e9
45 mu=3.462e9
46 rho=1154.
47 tend=10. # to ran a full simulation change tend to 60.
48 alpha=0.7
49 t0=3.
50
51
52 U0=1. # maximum displacement
53 mkDir("data") # create directory data if it does not exist already.
54
55 def wavePropagation(domain,h,tend,lam,mu,rho, xc, src_radius, U0):
56 # lists to collect displacement at point source
57 ts, u_pc0,u_pc1,u_pc2=[], [], [], []
58 x=domain.getX()
59 # ... open new PDE ...
60 mypde=LinearPDE(domain)
61 mypde.getSolverOptions().setSolverMethod(SolverOptions.HRZ_LUMPING)
62 kron=kronecker(mypde.getDim())
63
64 dunit=numpy.array([1.,0.,0.]) # defines direction of point source
65
66 mypde.setValue(D=kron*rho, q=whereNegative(length(x-xc)-src_radius)*dunit)
67 # ... set initial values ....
68 n=0
69 # for first two time steps
70 u=Vector(0.,Solution(domain))
71 u_last=Vector(0.,Solution(domain))
72 t=0
73
74 # define the location of the point source
75 L=Locator(domain,xc)
76 # find potential at point source
77 u_pc=L.getValue(u)
78 print("u at point charge = %s"%u_pc)
79 ts.append(t); u_pc0.append(u_pc[0]), u_pc1.append(u_pc[1]), u_pc2.append(u_pc[2])
80
81 while t<tend:
82 t+=h
83 # ... get current stress ....
84 g=grad(u)
85 stress=lam*trace(g)*kron+mu*(g+transpose(g))
86 # ... get new acceleration ....
87 amplitude=U0*(4*(t-t0)**3/alpha**3-6*(t-t0)/alpha)*sqrt(2.)/alpha**2*exp(1./2.-(t-t0)**2/alpha**2)
88 mypde.setValue(X=-stress, r=dunit*amplitude)
89 a=mypde.getSolution()
90 # ... get new displacement ...
91 u_new=2*u-u_last+h**2*a
92 # ... shift displacements ....
93 u_last=u
94 u=u_new
95 n+=1
96 print("time step %d, t = %s"%(n,t))
97 u_pc=L.getValue(u)
98 print("u at point charge = %s"%u_pc)
99 ts.append(t); u_pc0.append(u_pc[0]), u_pc1.append(u_pc[1]), u_pc2.append(u_pc[2])
100
101 # ... save current acceleration in units of gravity and displacements
102 if n==1 or n%10==0: saveVTK("./data/usoln.%i.vtu"%(n/10),acceleration=length(a)/9.81,
103 displacement = length(u), tensor = stress, Ux = u[0] )
104 return ts, u_pc0,u_pc1,u_pc2
105
106 #
107 # create domain:
108 #
109 mydomain=Brick(ne,ne,10,l0=width,l1=width,l2=10.*width/ne)
110 #
111 # sety time step size:
112 #
113 h=inf(1./5.)*inf(sqrt(rho/(lam+2*mu))*mydomain.getSize())
114 print("time step size = %s"%h)
115 #
116 # spherical source at middle of bottom face
117 #
118 xc=[width/2.,width/2.,0.]
119 # define small radius around point xc
120 src_radius = 0.03*width
121 print("src_radius = %s"%src_radius)
122 #
123 # run it
124 #
125 ts, u_pc0,u_pc1,u_pc2 = wavePropagation(mydomain,h,tend,lam,mu,rho, xc, src_radius, U0)
126 #
127 # create a plot:
128 #
129 if getMPIRankWorld() == 0:
130 plt.title("Displacement at Point Source")
131 plt.plot(ts, u_pc0, '-', label="x_0", linewidth=1)
132 plt.plot(ts, u_pc1, '-', label="x_1", linewidth=1)
133 plt.plot(ts, u_pc2, '-', label="x_2", linewidth=1)
134 plt.xlabel('time')
135 plt.ylabel('displacement')
136 plt.legend()
137 plt.savefig('u_pc.png', format='png')
138 # or save displacement
139 u_pc_data=FileWriter('./data/U_pc.out')
140 for i in range(len(ts)) :
141 u_pc_data.write("%f %f %f %f\n"%(ts[i],u_pc0[i],u_pc1[i],u_pc2[i]))
142 u_pc_data.close()
143

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svn:keywords Author Date Id Revision
svn:mergeinfo /branches/4.0fordebian/doc/examples/usersguide/wave.py:5567-5588 /branches/lapack2681/doc/examples/usersguide/wave.py:2682-2741 /branches/pasowrap/doc/examples/usersguide/wave.py:3661-3674 /branches/py3_attempt2/doc/examples/usersguide/wave.py:3871-3891 /branches/restext/doc/examples/usersguide/wave.py:2610-2624 /branches/ripleygmg_from_3668/doc/examples/usersguide/wave.py:3669-3791 /branches/symbolic_from_3470/doc/examples/usersguide/wave.py:3471-3974 /branches/symbolic_from_3470/ripley/test/python/doc/examples/usersguide/wave.py:3517-3974 /release/4.0/doc/examples/usersguide/wave.py:5380-5406 /trunk/doc/examples/usersguide/wave.py:1388-2483 /trunk/ripley/test/python/doc/examples/usersguide/wave.py:3480-3515

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