/[escript]/trunk/doc/examples/cookbook/example05a.py
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Contents of /trunk/doc/examples/cookbook/example05a.py

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Revision 3892 - (show annotations)
Tue Apr 10 08:57:23 2012 UTC (6 years, 11 months ago) by jfenwick
File MIME type: text/x-python
File size: 4922 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) 2009-2010 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) 2009-2010 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 # example05a.py
28 # Create either a 2D syncline or anticline model using pycad meshing
29 # tools. Then model steady state heat solution.
30
31 #######################################################EXTERNAL MODULES
32 from esys.pycad import * #domain constructor
33 from esys.pycad.gmsh import Design #Finite Element meshing package
34 from esys.finley import MakeDomain #Converter for escript
35 import os #file path tool
36 from math import * # math package
37 from esys.escript import *
38 from esys.escript.unitsSI import *
39 from esys.escript.linearPDEs import LinearPDE
40 import matplotlib
41 matplotlib.use('agg') #It's just here for automated testing
42 from cblib import toRegGrid
43 import pylab as pl #Plotting package
44
45 ########################################################MPI WORLD CHECK
46 if getMPISizeWorld() > 1:
47 import sys
48 print("This example will not run in an MPI world.")
49 sys.exit(0)
50
51 #################################################ESTABLISHING VARIABLES
52 #set modal to 1 for a syncline or -1 for an anticline structural
53 #configuration
54 modal=-1
55
56 # the folder to put our outputs in, leave blank "" for script path -
57 # note this folder path must exist to work
58 save_path= os.path.join("data","example05")
59 mkDir(save_path)
60
61 ################################################ESTABLISHING PARAMETERS
62 #Model Parameters
63 width=5000.0*m #width of model
64 depth=-6000.0*m #depth of model
65 Ttop=20*K # top temperature
66 qin=70*Milli*W/(m*m) # bottom heat influx
67
68 sspl=51 #number of discrete points in spline
69 dsp=width/(sspl-1) #dx of spline steps for width
70 dep_sp=2500.0*m #avg depth of spline
71 h_sp=1500.0*m #heigh of spline
72 orit=-1.0 #orientation of spline 1.0=>up -1.0=>down
73
74 ####################################################DOMAIN CONSTRUCTION
75 # Domain Corners
76 p0=Point(0.0, 0.0, 0.0)
77 p1=Point(0.0, depth, 0.0)
78 p2=Point(width, depth, 0.0)
79 p3=Point(width, 0.0, 0.0)
80
81 # Generate Material Boundary
82 x=[ Point(i*dsp\
83 ,-dep_sp+modal*orit*h_sp*cos(pi*i*dsp/dep_sp+pi))\
84 for i in range(0,sspl)\
85 ]
86 mysp = Spline(*tuple(x))
87 # Start and end of material boundary.
88 x1=mysp.getStartPoint()
89 x2=mysp.getEndPoint()
90
91 # Create TOP BLOCK
92 # lines
93 tbl1=Line(p0,x1)
94 tbl2=mysp
95 tbl3=Line(x2,p3)
96 l30=Line(p3, p0)
97 # curve
98 tblockloop = CurveLoop(tbl1,tbl2,tbl3,l30)
99 # surface
100 tblock = PlaneSurface(tblockloop)
101
102
103 # Create BOTTOM BLOCK
104 # lines
105 bbl1=Line(x1,p1)
106 bbl3=Line(p2,x2)
107 bbl4=-mysp
108 l12=Line(p1, p2)
109 # curve
110 bblockloop = CurveLoop(bbl1,l12,bbl3,bbl4)
111 # surface
112 bblock = PlaneSurface(bblockloop)
113
114 ################################################CREATE MESH FOR ESCRIPT
115 # Create a Design which can make the mesh
116 d=Design(dim=2, element_size=200)
117 # Add the subdomains and flux boundaries.
118 d.addItems(PropertySet("top",tblock),PropertySet("bottom",bblock),\
119 PropertySet("linebottom",l12))
120 # Create the geometry, mesh and Escript domain
121 d.setScriptFileName(os.path.join(save_path,"example05.geo"))
122 d.setMeshFileName(os.path.join(save_path,"example05.msh"))
123 domain=MakeDomain(d, optimizeLabeling=True)
124 print("Domain has been generated ...")
125 ##############################################################SOLVE PDE
126 mypde=LinearPDE(domain)
127 mypde.getSolverOptions().setVerbosityOn()
128 mypde.setSymmetryOn()
129 kappa=Scalar(0,Function(domain))
130 kappa.setTaggedValue("top",2.0*W/m/K)
131 kappa.setTaggedValue("bottom",4.0*W/m/K)
132 mypde.setValue(A=kappa*kronecker(domain))
133 x=Solution(domain).getX()
134 mypde.setValue(q=whereZero(x[1]-sup(x[1])),r=Ttop)
135 qS=Scalar(0,FunctionOnBoundary(domain))
136 qS.setTaggedValue("linebottom",qin)
137 mypde.setValue(y=qS)
138 print("PDE has been generated ...")
139 ###########################################################GET SOLUTION
140 T=mypde.getSolution()
141 print("PDE has been solved ...")
142
143 #######################################################################
144 xi, yi, zi = toRegGrid(T, nx=50, ny=50)
145 pl.matplotlib.pyplot.autumn()
146 pl.contourf(xi,yi,zi,10)
147 pl.xlabel("Horizontal Displacement (m)")
148 pl.ylabel("Depth (m)")
149 pl.savefig(os.path.join(save_path,"Tcontour.png"))
150 print("Solution has been plotted ...")

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