# Contents of /trunk/doc/examples/cookbook/example01c.py

Revision 3892 - (show annotations)
Tue Apr 10 08:57:23 2012 UTC (6 years, 11 months ago) by jfenwick
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```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 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 # example01c.py 28 # Model temperature diffusion between two granite blocks of unequal 29 # initial temperature. Solve for the spatial distribution of temperature. 30 31 # To solve the problem it is necessary to import the modules we require. 32 from esys.escript import * # This imports everything from the escript library 33 from esys.escript.unitsSI import * 34 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE 35 from esys.finley import Rectangle # This imports the rectangle domain function 36 #For interactive use, you can comment out the next two lines 37 import matplotlib 38 matplotlib.use('agg') #It's just here for automated testing 39 import pylab as pl #Plotting package. 40 import numpy as np #Array package. 41 import os, sys #This package is necessary to handle saving our data. 42 43 ########################################################MPI WORLD CHECK 44 if getMPISizeWorld() > 1: 45 import sys 46 print("This example will not run in an MPI world.") 47 sys.exit(0) 48 49 #################################################ESTABLISHING VARIABLES 50 #Domain related. 51 mx = 500*m #meters - model length 52 my = 100*m #meters - model width 53 ndx = 100 # mesh steps in x direction 54 ndy = 1 # mesh steps in y direction - one dimension means one element 55 boundloc = mx/2 # location of boundary between the two blocks 56 #PDE related 57 rho = 2750. *kg/m**3 #kg/m{3} density of iron 58 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity 59 rhocp = rho*cp 60 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity 61 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source 62 T1=20 * Celsius # initial temperature at Block 1 63 T2=2273. * Celsius # base temperature at Block 2 64 65 ################################################ESTABLISHING PARAMETERS 66 t=0 * day # our start time, usually zero 67 tend=50 * yr # - 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","example01") 75 #ensure the dir exists 76 mkDir(save_path, os.path.join(save_path,"tempT")) 77 78 ####################################################DOMAIN CONSTRUCTION 79 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy) 80 81 ###############################################ESCRIPT PDE CONSTRUCTION 82 #... open PDE and set coefficients ... 83 mypde=LinearPDE(blocks) 84 mypde.setSymmetryOn() 85 A=zeros((2,2)) 86 A[0,0]=kappa 87 mypde.setValue(A=A,D=rhocp/h) 88 # ... set initial temperature .... 89 x=Solution(blocks).getX() 90 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc)) 91 92 # ... open a collector for the time marks and corresponding total energy 93 t_list=[] 94 E_list=[] 95 # ... convert solution points for plotting 96 plx = x.toListOfTuples() 97 plx = np.array(plx) #convert to tuple to numpy array 98 plx = plx[:,0] #extract x locations 99 ########################################################START ITERATION 100 while t

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