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

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Revision 3892 - (show annotations)
Tue Apr 10 08:57:23 2012 UTC (6 years, 10 months ago) by jfenwick
File MIME type: text/x-python
File size: 4016 byte(s)
Merged changes across from the attempt2 branch.
This version builds and passes python2 tests.
It also passes most python3 tests.



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 for a gravity POLE.
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.finley import Rectangle # This imports the rectangle domain function from finley
36 from esys.weipa import saveVTK # This imports the VTK file saver from weipa
37 import os, sys #This package is necessary to handle saving our data.
38 from math import pi, sqrt, sin, cos
39
40 from esys.escript.pdetools import Projector
41
42 import matplotlib
43 matplotlib.use('agg') #It's just here for automated testing
44
45 from cblib import toRegGrid
46 import pylab as pl #Plotting package
47 import numpy as np
48
49 ########################################################MPI WORLD CHECK
50 if getMPISizeWorld() > 1:
51 import sys
52 print("This example will not run in an MPI world.")
53 sys.exit(0)
54
55 #################################################ESTABLISHING VARIABLES
56 #Domain related.
57 mx = 5000*m #meters - model length
58 my = -5000*m #meters - model width
59 ndx = 100 # mesh steps in x direction
60 ndy = 100 # mesh steps in y direction - one dimension means one element
61 #PDE related
62 rho=200.0
63 rholoc=[2500,-2500]
64 G=6.67300*10E-11
65
66 ################################################ESTABLISHING PARAMETERS
67 #the folder to put our outputs in, leave blank "" for script path
68 save_path= os.path.join("data","example10")
69 #ensure the dir exists
70 mkDir(save_path)
71
72 ####################################################DOMAIN CONSTRUCTION
73 domain = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
74 x=Solution(domain).getX()
75 mask=wherePositive(10-length(x-rholoc))
76 rho=rho*mask
77 kro=kronecker(domain)
78
79 q=whereZero(x[1]-my)+whereZero(x[1])+whereZero(x[0])+whereZero(x[0]-mx)
80 ###############################################ESCRIPT PDE CONSTRUCTION
81
82 mypde=LinearPDE(domain)
83 mypde.setValue(A=kro,Y=4.*3.1415*G*rho)
84 mypde.setValue(q=q,r=0)
85 mypde.setSymmetryOn()
86 sol=mypde.getSolution()
87
88 g_field=grad(sol) #The gravitational acceleration g.
89 g_fieldz=g_field*[0,1] #The vertical component of the g field.
90 gz=length(g_fieldz) #The magnitude of the vertical component.
91 # Save the output to file.
92 saveVTK(os.path.join(save_path,"ex10a.vtu"),\
93 grav_pot=sol,g_field=g_field,g_fieldz=g_fieldz,gz=gz)
94
95 ##################################################REGRIDDING & PLOTTING
96
97
98 xi, yi, zi = toRegGrid(sol, nx=50, ny=50)
99 pl.matplotlib.pyplot.autumn()
100 pl.contourf(xi,yi,zi,10)
101 pl.xlabel("Horizontal Displacement (m)")
102 pl.ylabel("Depth (m)")
103 pl.savefig(os.path.join(save_path,"Ucontour.png"))
104 print("Solution has been plotted ...")
105
106 cut=int(len(xi)/2)
107
108 pl.clf()
109
110 r=np.linspace(0,mx/2,100)
111 m=2*pl.pi*10*10*200*-G/(r*r)
112
113 pl.plot(xi,zi[:,cut])
114 #pl.plot(r+2500,m)
115 pl.title("Potential Profile")
116 pl.xlabel("Horizontal Displacement (m)")
117 pl.ylabel("Potential")
118 pl.savefig(os.path.join(save_path,"Upot00.png"))
119
120 out=np.array([xi,zi[:,cut]])
121 pl.savetxt('profile1.asc',out.transpose())
122 pl.clf()

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