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######################################################## |
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# |
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# Copyright (c) 2009 by University of Queensland |
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# Earth Systems Science Computational Center (ESSCC) |
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# http://www.uq.edu.au/esscc |
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# |
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# Primary Business: Queensland, Australia |
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# Licensed under the Open Software License version 3.0 |
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# http://www.opensource.org/licenses/osl-3.0.php |
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# |
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######################################################## |
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__copyright__="""Copyright (c) 2009 by University of Queensland |
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Earth Systems Science Computational Center (ESSCC) |
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http://www.uq.edu.au/esscc |
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Primary Business: Queensland, Australia""" |
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__license__="""Licensed under the Open Software License version 3.0 |
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http://www.opensource.org/licenses/osl-3.0.php""" |
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__url__="https://launchpad.net/escript-finley" |
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|
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""" |
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Author: Antony Hallam antony.hallam@uqconnect.edu.au |
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""" |
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############################################################FILE HEADER |
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# example10a.py |
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# Model of gravitational Potential for a gravity POLE. |
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#######################################################EXTERNAL MODULES |
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# To solve the problem it is necessary to import the modules we require. |
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from esys.escript import * # This imports everything from the escript library |
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from esys.escript.unitsSI import * |
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from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE |
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from esys.finley import Rectangle # This imports the rectangle domain function from finley |
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from esys.weipa import saveVTK # This imports the VTK file saver from weipa |
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import os, sys #This package is necessary to handle saving our data. |
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from math import pi, sqrt, sin, cos |
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from esys.escript.pdetools import Projector |
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import matplotlib |
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matplotlib.use('agg') #It's just here for automated testing |
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from cblib import toRegGrid |
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import pylab as pl #Plotting package |
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import numpy as np |
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########################################################MPI WORLD CHECK |
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if getMPISizeWorld() > 1: |
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import sys |
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print "This example will not run in an MPI world." |
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sys.exit(0) |
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#################################################ESTABLISHING VARIABLES |
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#Domain related. |
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mx = 5000*m #meters - model length |
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my = -5000*m #meters - model width |
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ndx = 100 # mesh steps in x direction |
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ndy = 100 # mesh steps in y direction - one dimension means one element |
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#PDE related |
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rho=200.0 |
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rholoc=[2500,-2500] |
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G=6.67300*10E-11 |
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|
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################################################ESTABLISHING PARAMETERS |
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#the folder to put our outputs in, leave blank "" for script path |
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save_path= os.path.join("data","example10") |
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#ensure the dir exists |
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mkDir(save_path) |
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####################################################DOMAIN CONSTRUCTION |
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domain = Rectangle(l0=mx,l1=my,n0=ndx, n1=ndy) |
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x=Solution(domain).getX() |
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mask=wherePositive(10-length(x-rholoc)) |
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rho=rho*mask |
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kro=kronecker(domain) |
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q=whereZero(x[1]-my)+whereZero(x[1])+whereZero(x[0])+whereZero(x[0]-mx) |
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###############################################ESCRIPT PDE CONSTRUCTION |
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mypde=LinearPDE(domain) |
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mypde.setValue(A=kro,Y=4.*3.1415*G*rho) |
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mypde.setValue(q=q,r=0) |
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mypde.setSymmetryOn() |
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sol=mypde.getSolution() |
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g_field=grad(sol) #The gravitational acceleration g. |
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g_fieldz=g_field*[0,1] #The vertical component of the g field. |
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gz=length(g_fieldz) #The magnitude of the vertical component. |
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# Save the output to file. |
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saveVTK(os.path.join(save_path,"ex10a.vtu"),\ |
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grav_pot=sol,g_field=g_field,g_fieldz=g_fieldz,gz=gz) |
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##################################################REGRIDDING & PLOTTING |
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xi, yi, zi = toRegGrid(sol, nx=50, ny=50) |
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pl.matplotlib.pyplot.autumn() |
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pl.contourf(xi,yi,zi,10) |
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pl.xlabel("Horizontal Displacement (m)") |
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pl.ylabel("Depth (m)") |
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pl.savefig(os.path.join(save_path,"Ucontour.png")) |
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print "Solution has been plotted ..." |
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cut=int(len(xi)/2) |
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pl.clf() |
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r=np.linspace(0,mx/2,100) |
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m=2*pl.pi*10*10*200*-G/(r*r) |
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pl.plot(xi,zi[:,cut]) |
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#pl.plot(r+2500,m) |
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pl.title("Potential Profile") |
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pl.xlabel("Horizontal Displacement (m)") |
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pl.ylabel("Potential") |
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pl.savefig(os.path.join(save_path,"Upot00.png")) |
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out=np.array([xi,zi[:,cut]]) |
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pl.savetxt('profile1.asc',out.transpose()) |
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pl.clf() |
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