/[escript]/trunk/doc/examples/cookbook/example10a.py
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Contents of /trunk/doc/examples/cookbook/example10a.py

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Sun Aug 22 04:35:15 2010 UTC (8 years, 5 months ago) by ahallam
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Gravitational Potential Example- Needs some tuning.
1
2 ########################################################
3 #
4 # Copyright (c) 2009 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) 2009 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 Author: Antony Hallam antony.hallam@uqconnect.edu.au
24 """
25
26 ############################################################FILE HEADER
27 # example10a.py
28 # Model of gravitational Potential.
29
30 #######################################################EXTERNAL MODULES
31 # To solve the problem it is necessary to import the modules we require.
32 from esys.escript import * # This imports everything from the escript library
33 from esys.escript.unitsSI import *
34 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
35 from esys.escript.linearPDEs import Poisson # This defines LinearPDE as LinearPDE
36 from esys.finley import Rectangle # This imports the rectangle domain function from finley
37 #For interactive use, you can comment out the next two lines
38 import matplotlib
39 matplotlib.use('agg') #It's just here for automated testing
40 import pylab as pl #Plotting package.
41 import numpy as np #Array package.
42 import os, sys #This package is necessary to handle saving our data.
43
44 ########################################################MPI WORLD CHECK
45 if getMPISizeWorld() > 1:
46 import sys
47 print "This example will not run in an MPI world."
48 sys.exit(0)
49
50 #################################################ESTABLISHING VARIABLES
51 #Domain related.
52 mx = 500*m #meters - model length
53 my = 500*m #meters - model width
54 ndx = 500 # mesh steps in x direction
55 ndy = 500 # mesh steps in y direction - one dimension means one element
56 #PDE related
57 rho=100.0
58 rholoc=[250,250]
59 G=6.67300*10E-11
60
61 ################################################ESTABLISHING PARAMETERS
62 #the folder to put our outputs in, leave blank "" for script path
63 save_path= os.path.join("data","example10a")
64 #ensure the dir exists
65 mkDir(save_path)
66
67 ####################################################DOMAIN CONSTRUCTION
68 domain = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
69 x=Solution(domain).getX()
70 #mask=whereZero(x[0]-rholoc[0])*whereZero(x[1]-rholoc[1])
71 mask=wherePositive(100-length(x-rholoc))
72 #rho=Scalar(rho,ContinuousFunction(domain))
73 rho=rho*mask
74 y=Scalar(0.0,FunctionOnBoundary(domain))
75 kro=kronecker(domain)
76
77 q=whereZero(x[0])+\
78 whereZero(x[1])+\
79 whereZero(x[0]-sup(x[0]))+\
80 whereZero(x[1]-sup(x[1]))
81 ###############################################ESCRIPT PDE CONSTRUCTION
82
83 mypde=LinearPDE(domain)
84 mypde.setValue(A=kro,Y=4.*3.1415*G*rho,q=q,r=0.)
85 #mypde.setSymmetryOn()
86 #mypde=Poisson(domain)
87 #mypde.setValue(f=rho*4.*3.1415*G,q=q)
88 sol=mypde.getSolution()
89 saveVTK("ex10a.vtu",field_strength=sol)#,field=-grad(sol))

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