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

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1
2 from __future__ import print_function
3 ########################################################
4 #
5 # Copyright (c) 2009-2012 by University of Queensland
6 # Earth Systems Science Computational Center (ESSCC)
7 # http://www.uq.edu.au/esscc
8 #
9 # Primary Business: Queensland, Australia
10 # Licensed under the Open Software License version 3.0
11 # http://www.opensource.org/licenses/osl-3.0.php
12 #
13 ########################################################
14
15 __copyright__="""Copyright (c) 2009-2012 by University of Queensland
16 Earth Systems Science Computational Center (ESSCC)
17 http://www.uq.edu.au/esscc
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 ############################################################FILE HEADER
27 # example01a.py
28 # Model temperature diffusion between two granite blocks of unequal
29 # initial temperature. Solve for total energy in the system.
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
37
38 #################################################ESTABLISHING VARIABLES
39 #Domain related.
40 mx = 500*m #meters - model length
41 my = 100*m #meters - model width
42 ndx = 100 # mesh steps in x direction
43 ndy = 1 # mesh steps in y direction - one dimension means one element
44 boundloc = mx/2 # location of boundary between the two blocks
45 #PDE related
46 rho = 2750. *kg/m**3 #kg/m{3} density of iron
47 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
48 rhocp = rho*cp
49 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
50 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
51 T1=20 * Celsius # initial temperature at Block 1
52 T2=2273. * Celsius # base temperature at Block 2
53
54
55 ################################################ESTABLISHING PARAMETERS
56 t=0 * day # our start time, usually zero
57 tend=50 * yr # - time to end simulation
58 outputs = 200 # number of time steps required.
59 h=(tend-t)/outputs #size of time step
60 #user warning statement
61 print("Expected Number of time outputs is: ", (tend-t)/h)
62 i=0 #loop counter
63 #the folder to put our outputs in, leave blank "" for script path
64 save_path= os.path.join("data","example01")
65 #ensure the dir exists
66 mkDir(save_path, os.path.join(save_path,"tempT"))
67
68 ####################################################DOMAIN CONSTRUCTION
69 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
70
71 ###############################################ESCRIPT PDE CONSTRUCTION
72 #... open PDE and set coefficients ...
73 mypde=LinearPDE(blocks)
74 mypde.setSymmetryOn()
75 A=zeros((2,2))
76 A[0,0]=kappa
77 mypde.setValue(A=A,D=rhocp/h)
78 # ... set initial temperature ....
79 x=Solution(blocks).getX()
80 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
81
82 ########################################################START ITERATION
83 while t<tend:
84 i+=1
85 t+=h
86 mypde.setValue(Y=qH+rhocp/h*T)
87 T=mypde.getSolution()
88 totE=integrate(rhocp*T)
89 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))

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