/[escript]/trunk/doc/examples/cookbook/example01a.py
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Contents of /trunk/doc/examples/cookbook/example01a.py

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Revision 5288 - (show annotations)
Tue Dec 2 23:18:40 2014 UTC (4 years, 5 months ago) by sshaw
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fixing tests for cases where required domains not built
1 from __future__ import division, print_function
2 ##############################################################################
3 #
4 # Copyright (c) 2009-2014 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 2012-2013 by School of Earth Sciences
13 # Development from 2014 by Centre for Geoscience Computing (GeoComp)
14 #
15 ##############################################################################
16
17 __copyright__="""Copyright (c) 2009-2014 by 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 """
25 Author: Antony Hallam antony.hallam@uqconnect.edu.au
26 """
27 ############################################################FILE HEADER
28 # example01a.py
29 # Model temperature diffusion between two granite blocks of unequal
30 # initial temperature. Solve for total energy in the system.
31 import sys
32 #######################################################EXTERNAL MODULES
33 # To solve the problem it is necessary to import the modules we require.
34 from esys.escript import * # This imports everything from the escript library
35 from esys.escript.unitsSI import *
36 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
37 try:
38 from esys.finley import Rectangle
39 HAVE_FINLEY = True
40 except ImportError:
41 print("Finley module not available")
42 HAVE_FINLEY = False
43
44 if HAVE_FINLEY:
45 #################################################ESTABLISHING VARIABLES
46 #Domain related.
47 mx = 500*m #meters - model length
48 my = 100*m #meters - model width
49 ndx = 100 # mesh steps in x direction
50 ndy = 1 # mesh steps in y direction - one dimension means one element
51 boundloc = mx/2 # location of boundary between the two blocks
52 #PDE related
53 rho = 2750. *kg/m**3 #kg/m{3} density of iron
54 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
55 rhocp = rho*cp
56 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
57 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
58 T1=20 * Celsius # initial temperature at Block 1
59 T2=2273. * Celsius # base temperature at Block 2
60
61
62 ################################################ESTABLISHING PARAMETERS
63 t=0 * day # our start time, usually zero
64 tend=50 * yr # - time to end simulation
65 outputs = 200 # number of time steps required.
66 h=(tend-t)/outputs #size of time step
67 #user warning statement
68 print("Expected Number of time outputs is: ", (tend-t)/h)
69 i=0 #loop counter
70 #the folder to put our outputs in, leave blank "" for script path
71 save_path= os.path.join("data","example01")
72 #ensure the dir exists
73 mkDir(save_path, os.path.join(save_path,"tempT"))
74
75 ####################################################DOMAIN CONSTRUCTION
76 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
77
78 ###############################################ESCRIPT PDE CONSTRUCTION
79 #... open PDE and set coefficients ...
80 mypde=LinearPDE(blocks)
81 mypde.setSymmetryOn()
82 A=zeros((2,2))
83 A[0,0]=kappa
84 mypde.setValue(A=A,D=rhocp/h)
85 # ... set initial temperature ....
86 x=Solution(blocks).getX()
87 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
88
89 ########################################################START ITERATION
90 while t<tend:
91 i+=1
92 t+=h
93 mypde.setValue(Y=qH+rhocp/h*T)
94 T=mypde.getSolution()
95 totE=integrate(rhocp*T)
96 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))

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