/[escript]/trunk/doc/examples/cookbook/example01c.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
28 ############################################################FILE HEADER
29 # example01c.py
30 # Model temperature diffusion between two granite blocks of unequal
31 # initial temperature. Solve for the spatial distribution of temperature.
32
33 # To solve the problem it is necessary to import the modules we require.
34 #For interactive use, you can comment out the next two lines
35 import matplotlib
36 matplotlib.use('agg') #It's just here for automated testing
37 from esys.escript import * # This imports everything from the escript library
38 from esys.escript.unitsSI import *
39 from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
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 try:
44 # This imports the rectangle domain function
45 from esys.finley import Rectangle
46 HAVE_FINLEY = True
47 except ImportError:
48 print("Finley module not available")
49 HAVE_FINLEY = False
50
51 ########################################################MPI WORLD CHECK
52 if getMPISizeWorld() > 1:
53 import sys
54 print("This example will not run in an MPI world.")
55 sys.exit(0)
56
57 if HAVE_FINLEY:
58 #################################################ESTABLISHING VARIABLES
59 #Domain related.
60 mx = 500*m #meters - model length
61 my = 100*m #meters - model width
62 ndx = 100 # mesh steps in x direction
63 ndy = 1 # mesh steps in y direction - one dimension means one element
64 boundloc = mx/2 # location of boundary between the two blocks
65 #PDE related
66 rho = 2750. *kg/m**3 #kg/m{3} density of iron
67 cp = 790.*J/(kg*K) # J/Kg.K thermal capacity
68 rhocp = rho*cp
69 kappa = 2.2*W/m/K # watts/m.Kthermal conductivity
70 qH=0 * J/(sec*m**3) # J/(sec.m{3}) no heat source
71 T1=20 * Celsius # initial temperature at Block 1
72 T2=2273. * Celsius # base temperature at Block 2
73
74 ################################################ESTABLISHING PARAMETERS
75 t=0 * day # our start time, usually zero
76 tend=50 * yr # - time to end simulation
77 outputs = 200 # number of time steps required.
78 h=(tend-t)/outputs #size of time step
79 #user warning statement
80 print("Expected Number of time outputs is: ", (tend-t)/h)
81 i=0 #loop counter
82 #the folder to put our outputs in, leave blank "" for script path
83 save_path= os.path.join("data","example01")
84 #ensure the dir exists
85 mkDir(save_path, os.path.join(save_path,"tempT"))
86
87 ####################################################DOMAIN CONSTRUCTION
88 blocks = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy)
89
90 ###############################################ESCRIPT PDE CONSTRUCTION
91 #... open PDE and set coefficients ...
92 mypde=LinearPDE(blocks)
93 mypde.setSymmetryOn()
94 A=zeros((2,2))
95 A[0,0]=kappa
96 mypde.setValue(A=A,D=rhocp/h)
97 # ... set initial temperature ....
98 x=Solution(blocks).getX()
99 T= T1*whereNegative(x[0]-boundloc)+T2*(1-whereNegative(x[0]-boundloc))
100
101 # ... open a collector for the time marks and corresponding total energy
102 t_list=[]
103 E_list=[]
104 # ... convert solution points for plotting
105 plx = x.toListOfTuples()
106 plx = np.array(plx) #convert to tuple to numpy array
107 plx = plx[:,0] #extract x locations
108 ########################################################START ITERATION
109 while t<tend:
110 i+=1
111 t+=h
112 mypde.setValue(Y=qH+rhocp/h*T)
113 T=mypde.getSolution()
114 totE=integrate(rhocp*T)
115 print("time step %s at t=%e days completed. total energy = %e."%(i,t/day,totE))
116 t_list.append(t)
117 E_list.append(totE)
118
119 #establish figure 1 for temperature vs x plots
120 tempT = T.toListOfTuples()
121 pl.figure(1) #current figure
122 pl.plot(plx,tempT) #plot solution
123 # add title
124 pl.axis([0,mx,T1*.9,T2*1.1])
125 pl.title("Temperature across blocks at time %d days"%(t/day))
126 pl.ylabel('Temperature (K)')
127 pl.xlabel("Length (m)")
128 #save figure to file
129 pl.savefig(os.path.join(save_path,"tempT", "blockspyplot%03d.png"%i))
130 pl.clf() #clear figure
131
132 ###############################################################PLOTTING
133 # plot the total energy over time:
134 pl.figure(2)
135 pl.plot(t_list,E_list)
136 pl.title("Total Energy")
137 pl.axis([0,max(t_list),0,max(E_list)*1.1])
138 pl.ylabel('Energy (W)')
139 pl.xlabel('Time (s)')
140 pl.savefig(os.path.join(save_path,"totE_ex01c.png"))
141 pl.clf()
142
143 ###########################################################MAKE A MOVIE
144 # compile the *.png files to create a*.avi video that show T change
145 # with time. This opperation uses linux mencoder. For other operating
146 # systems it may be possible to use your favourite video compiler to
147 # convert image files to videos. To enable this step uncomment the
148 # following lines.
149
150 #os.system("mencoder mf://"+save_path+"/tempT"+"/*.png -mf type=png:\
151 #w=800:h=600:fps=25 -ovc lavc -lavcopts vcodec=mpeg4 -oac copy -o \
152 #example01tempT.avi")

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