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

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First pass of updating copyright notices
1
2 ##############################################################################
3 #
4 # Copyright (c) 2009-2012 by University of Queensland
5 # http://www.uq.edu.au
6 #
7 # Primary Business: Queensland, Australia
8 # Licensed under the Open Software License version 3.0
9 # http://www.opensource.org/licenses/osl-3.0.php
10 #
11 # Development until 2012 by Earth Systems Science Computational Center (ESSCC)
12 # Development since 2012 by School of Earth Sciences
13 #
14 ##############################################################################
15
16 __copyright__="""Copyright (c) 2009-2012 by University of Queensland
17 http://www.uq.edu.au
18 Primary Business: Queensland, Australia"""
19 __license__="""Licensed under the Open Software License version 3.0
20 http://www.opensource.org/licenses/osl-3.0.php"""
21 __url__="https://launchpad.net/escript-finley"
22
23 """
24 Author: Antony Hallam antony.hallam@uqconnect.edu.au
25 """
26
27 ############################################################FILE HEADER
28 # example10a.py
29 # Model of gravitational Potential for a gravity POLE.
30
31 #######################################################EXTERNAL MODULES
32 # To solve the problem it is necessary to import the modules we require.
33 from esys.escript import * # This imports everything from the escript library
34 from esys.escript.unitsSI import *
35 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
36 from esys.finley import Rectangle # This imports the rectangle domain function from finley
37 from esys.weipa import saveVTK # This imports the VTK file saver from weipa
38 import os, sys #This package is necessary to handle saving our data.
39 from math import pi, sqrt, sin, cos
40
41 from esys.escript.pdetools import Projector
42
43 import matplotlib
44 matplotlib.use('agg') #It's just here for automated testing
45
46 from cblib import toRegGrid
47 import pylab as pl #Plotting package
48 import numpy as np
49
50 ########################################################MPI WORLD CHECK
51 if getMPISizeWorld() > 1:
52 import sys
53 print("This example will not run in an MPI world.")
54 sys.exit(0)
55
56 #################################################ESTABLISHING VARIABLES
57 #Domain related.
58 mx = 5000*m #meters - model length
59 my = -5000*m #meters - model width
60 ndx = 100 # mesh steps in x direction
61 ndy = 100 # mesh steps in y direction - one dimension means one element
62 #PDE related
63 rho=200.0
64 rholoc=[2500,-2500]
65 G=6.67300*10E-11
66
67 ################################################ESTABLISHING PARAMETERS
68 #the folder to put our outputs in, leave blank "" for script path
69 save_path= os.path.join("data","example10")
70 #ensure the dir exists
71 mkDir(save_path)
72
73 ####################################################DOMAIN CONSTRUCTION
74 domain = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
75 x=Solution(domain).getX()
76 mask=wherePositive(10-length(x-rholoc))
77 rho=rho*mask
78 kro=kronecker(domain)
79
80 q=whereZero(x[1]-my)+whereZero(x[1])+whereZero(x[0])+whereZero(x[0]-mx)
81 ###############################################ESCRIPT PDE CONSTRUCTION
82
83 mypde=LinearPDE(domain)
84 mypde.setValue(A=kro,Y=4.*3.1415*G*rho)
85 mypde.setValue(q=q,r=0)
86 mypde.setSymmetryOn()
87 sol=mypde.getSolution()
88
89 g_field=grad(sol) #The gravitational acceleration g.
90 g_fieldz=g_field*[0,1] #The vertical component of the g field.
91 gz=length(g_fieldz) #The magnitude of the vertical component.
92 # Save the output to file.
93 saveVTK(os.path.join(save_path,"ex10a.vtu"),\
94 grav_pot=sol,g_field=g_field,g_fieldz=g_fieldz,gz=gz)
95
96 ##################################################REGRIDDING & PLOTTING
97
98
99 xi, yi, zi = toRegGrid(sol, nx=50, ny=50)
100 pl.matplotlib.pyplot.autumn()
101 pl.contourf(xi,yi,zi,10)
102 pl.xlabel("Horizontal Displacement (m)")
103 pl.ylabel("Depth (m)")
104 pl.savefig(os.path.join(save_path,"Ucontour.png"))
105 print("Solution has been plotted ...")
106
107 cut=int(len(xi)/2)
108
109 pl.clf()
110
111 r=np.linspace(0,mx/2,100)
112 m=2*pl.pi*10*10*200*-G/(r*r)
113
114 pl.plot(xi,zi[:,cut])
115 #pl.plot(r+2500,m)
116 pl.title("Potential Profile")
117 pl.xlabel("Horizontal Displacement (m)")
118 pl.ylabel("Potential")
119 pl.savefig(os.path.join(save_path,"Upot00.png"))
120
121 out=np.array([xi,zi[:,cut]])
122 pl.savetxt('profile1.asc',out.transpose())
123 pl.clf()

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