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##############################################################################
#
# Copyright (c) 2009-2018 by The University of Queensland
# http://www.uq.edu.au
#
# Primary Business: Queensland, Australia
# Licensed under the Apache License, version 2.0
# http://www.apache.org/licenses/LICENSE-2.0
#
# Development until 2012 by Earth Systems Science Computational Center (ESSCC)
# Development 2012-2013 by School of Earth Sciences
# Development from 2014 by Centre for Geoscience Computing (GeoComp)
#
##############################################################################
from __future__ import division, print_function
__copyright__="""Copyright (c) 2009-2018 by The University of Queensland
http://www.uq.edu.au
Primary Business: Queensland, Australia"""
__license__="""Licensed under the Apache License, version 2.0
http://www.apache.org/licenses/LICENSE-2.0"""
__url__="https://launchpad.net/escript-finley"
"""
Author: Antony Hallam antony.hallam@uqconnect.edu.au
"""
############################################################FILE HEADER
# example10a.py
# Model of gravitational Potential for a Gravity Well.
#######################################################EXTERNAL MODULES
# To solve the problem it is necessary to import the modules we require.
from esys.escript import * # This imports everything from the escript library
from esys.escript.unitsSI import *
from esys.escript.linearPDEs import LinearPDE # This defines LinearPDE as LinearPDE
from esys.weipa import saveVTK # This imports the VTK file saver from weipa
import os, sys #This package is necessary to handle saving our data.
from esys.escript.pdetools import Projector, Locator
import numpy as np
try:
# This imports the rectangle domain function
from esys.finley import Brick
HAVE_FINLEY = True
except ImportError:
print("Finley module not available")
HAVE_FINLEY = False
########################################################MPI WORLD CHECK
if getMPISizeWorld() > 1:
import sys
print("This example will not run in an MPI world.")
sys.exit(0)
if HAVE_FINLEY:
#################################################ESTABLISHING VARIABLES
#Domain related.
mx = 500*m #meters - model length
my = 500*m #meters - model width
mz = -4000*m
ndx = 15 # mesh steps in x direction
ndy = 15 # mesh steps in y direction - one dimension means one element
ndz = 10
#PDE related
rho=100.0
rholoc=[0,0,-0]
G=6.67300*10E-11
################################################ESTABLISHING PARAMETERS
#the folder to put our outputs in, leave blank "" for script path
save_path= os.path.join("data","example10")
#ensure the dir exists
mkDir(save_path)
####################################################DOMAIN CONSTRUCTION
domain = Brick(l0=mx,l1=my,n0=ndx, n1=ndy,l2=mz,n2=ndz)
x=Solution(domain).getX()
x=x-[mx/2,my/2,mz/2]
domain.setX(interpolate(x, ContinuousFunction(domain)))
mask=wherePositive(100-length(x-rholoc))
rho=rho*mask
kro=kronecker(domain)
mass=rho*vol(domain)
ipot=FunctionOnBoundary(domain)
xb=ipot.getX()
q=whereZero(x[2]-inf(x[2]))
###############################################ESCRIPT PDE CONSTRUCTION
mypde=LinearPDE(domain)
mypde.setValue(A=kro,Y=4.*3.1415*G*rho,q=q,r=0)
mypde.setSymmetryOn()
sol=mypde.getSolution()
saveVTK(os.path.join(save_path,"ex10b.vtu"),\
grav_pot=sol,\
g_field=-grad(sol),\
g_fieldz=-grad(sol)*[0,0,1],\
gz=length(-grad(sol)*[0,0,1]))
################################################MODEL SIZE SAMPLING
sampler=[]
for i in range(-250,250,1):
sampler.append([i,0,250])
sample=[] # array to hold values
rec=Locator(domain,sampler) #location to record
psol=rec.getValue(sol)
np.savetxt(os.path.join(save_path,"example10b_%04d.asc"%mx),psol)
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