# Contents of /trunk/doc/examples/cookbook/example02.py

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```Merging dudley and scons updates from branches

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 1 2 ######################################################## 3 # 4 # Copyright (c) 2009 by University of Queensland 5 # Earth Systems Science Computational Center (ESSCC) 6 7 # 8 # Primary Business: Queensland, Australia 9 # Licensed under the Open Software License version 3.0 10 11 # 12 ######################################################## 13 14 __copyright__="""Copyright (c) 2009 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 20 __url__= 21 22 """ 23 Author: Antony Hallam antony.hallam@uqconnect.edu.au 24 """ 25 26 ############################################################FILE HEADER 27 # example02.py 28 # Model temperature diffusion along an insulated iron rod with a 29 # heating element at the left hand side. 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 #For interactive use, you can comment out the next two lines 38 import matplotlib 39 matplotlib.use('agg') #It's just here for automated testing 40 import pylab as pl #Plotting package. 41 import numpy as np #Array package. 42 import os, sys #This package is necessary to handle saving our data. 43 44 ########################################################MPI WORLD CHECK 45 if getMPISizeWorld() > 1: 46 import sys 47 print "This example will not run in an MPI world." 48 sys.exit(0) 49 50 #################################################ESTABLISHING VARIABLES 51 #Domain related. 52 mx = 1*m #meters - model length 53 my = .1*m #meters - model width 54 ndx = 100 # mesh steps in x direction 55 ndy = 1 # mesh steps in y direction - one dimension means one element 56 #PDE related 57 rho = 7874. *kg/m**3 #kg/m^{3} density of iron 58 cp = 449.*J/(kg*K) # J/Kg.K thermal capacity 59 rhocp = rho*cp 60 kappa = 80.*W/m/K # watts/m.Kthermal conductivity 61 qH=0 * J/(sec*m**3) # J/(sec.m^{3}) no heat source 62 Tref = 20 * Celsius # base temperature of the rod 63 T0 = 100 * Celsius # temperature at heating element 64 65 ################################################ESTABLISHING PARAMETERS 66 t=0 * day # our start time, usually zero 67 tend= 0.5 *day # - time to end simulation 68 outputs = 200 # number of time steps required. 69 h=(tend-t)/outputs #size of time step 70 #user warning statement 71 print "Expected Number of time outputs is: ", (tend-t)/h 72 i=0 #loop counter 73 #the folder to put our outputs in, leave blank "" for script path 74 save_path= os.path.join("data","example02") 75 #ensure the dir exists 76 mkDir(save_path, os.path.join(save_path,"tempT")) 77 78 ####################################################DOMAIN CONSTRUCTION 79 rod = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy) 80 x=Solution(rod).getX() 81 ###############################################ESCRIPT PDE CONSTRUCTION 82 mypde=LinearPDE(rod) 83 A=zeros((2,2)) 84 A[0,0]=kappa 85 q=whereZero(x[0]) 86 mypde.setValue(A=A, D=rhocp/h, q=q, r=T0) 87 # ... set initial temperature .... 88 T= T0*whereZero(x[0])+Tref*(1-whereZero(x[0])) 89 90 # ... open a collector for the time marks and corresponding total energy 91 t_list=[] 92 E_list=[] 93 # ... convert solution points for plotting 94 plx = x.toListOfTuples() 95 plx = np.array(plx) #convert to tuple to numpy array 96 plx = plx[:,0] #extract x locations 97 ########################################################START ITERATION 98 while t