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

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1 from __future__ import division, print_function
2 ##############################################################################
3 #
4 # Copyright (c) 2009-2018 by The University of Queensland
5 # http://www.uq.edu.au
6 #
7 # Primary Business: Queensland, Australia
8 # Licensed under the Apache License, version 2.0
9 # http://www.apache.org/licenses/LICENSE-2.0
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) 2009-2018 by The University of Queensland
18 http://www.uq.edu.au
19 Primary Business: Queensland, Australia"""
20 __license__="""Licensed under the Apache License, version 2.0
21 http://www.apache.org/licenses/LICENSE-2.0"""
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 import os
35 from esys.escript import * # This imports everything from the escript library
36 from esys.escript.unitsSI import *
37 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
38 try:
39 from esys.finley import Rectangle
40 HAVE_FINLEY = True
41 except ImportError:
42 print("Finley module not available")
43 HAVE_FINLEY = False
44
45 if HAVE_FINLEY:
46 #################################################ESTABLISHING VARIABLES
47 #Domain related.
48 mx = 500*m #meters - model length
49 my = 100*m #meters - model width
50 ndx = 100 # mesh steps in x direction
51 ndy = 1 # mesh steps in y direction - one dimension means one element
52 boundloc = mx/2 # location of boundary between the two blocks
53 #PDE related
54 rho = 2750. *kg/m**3 #kg/m{3} density of iron
55 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
56 rhocp = rho*cp
57 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
58 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
59 T1=20 * Celsius # initial temperature at Block 1
60 T2=2273. * Celsius # base temperature at Block 2
61
62
63 ################################################ESTABLISHING PARAMETERS
64 t=0 * day # our start time, usually zero
65 tend=50 * yr # - time to end simulation
66 outputs = 200 # number of time steps required.
67 h=(tend-t)/outputs #size of time step
68 #user warning statement
69 print("Expected Number of time outputs is: ", (tend-t)/h)
70 i=0 #loop counter
71 #the folder to put our outputs in, leave blank "" for script path
72 save_path= os.path.join("data","example01")
73 #ensure the dir exists
74 mkDir(save_path, os.path.join(save_path,"tempT"))
75
76 ####################################################DOMAIN CONSTRUCTION
77 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
78
79 ###############################################ESCRIPT PDE CONSTRUCTION
80 #... open PDE and set coefficients ...
81 mypde=LinearPDE(blocks)
82 mypde.setSymmetryOn()
83 A=zeros((2,2))
84 A[0,0]=kappa
85 mypde.setValue(A=A,D=rhocp/h)
86 # ... set initial temperature ....
87 x=Solution(blocks).getX()
88 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
89
90 ########################################################START ITERATION
91 while t<tend:
92 i+=1
93 t+=h
94 mypde.setValue(Y=qH+rhocp/h*T)
95 T=mypde.getSolution()
96 totE=integrate(rhocp*T)
97 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))

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