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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"
"""
A collection of routines to use in cookbook examples.
Author: Antony Hallam antony.hallam@uqconnect.edu.au
"""
from esys.pycad import CurveLoop
# numpy for array handling
import numpy as np
# tools for dealing with PDEs - contains locator
from esys.escript.pdetools import Locator, Projector
from esys.escript import *
from esys.escript.linearPDEs import LinearPDE
from esys.weipa import saveVTK
import os
# routine to find consecutive coordinates of a loop in pycad
def getLoopCoords(loop):
# return all construction points of input
temp = loop.getConstructionPoints()
#create a numpy array for xyz components or construction points
coords = np.zeros([len(temp),3],float)
#place construction points in array
for i in range(0,len(temp)):
coords[i,:]=temp[i].getCoordinates()
#return a numpy array
return coords
##############################################################################
# subroutine: cbphones
# Allows us to record the values of a PDE at various
# specified locations in the model.
# Arguments:
# domain : domain of model
# U : Current time state displacement solution.
# phones : Geophone Locations
# dim : model dimesions
# savepath: where to output the data files local is default
##############################################################################
def cbphones(domain,U,phones,dim,savepath=""):
#find the number of geophones
nphones = len(phones)
u_pot = np.zeros([nphones,dim],float)
for i in range(0,nphones):
# define the location of the phone source
L=Locator(domain,np.array(phones[i]))
# find potential at point source.
temp = L.getValue(U)
for j in range(0,dim):
u_pot[i,j]=temp[j]
# open file to save displacement at point source
return u_pot
##############################################################################
# subroutine: wavesolver2d
# Can solve a generic 2D wave propagation problem with a
# point source in a homogeneous medium.
# Arguments:
# domain : domain to solve over
# h : time step
# tend : end time
# lam, mu : lames constants for domain
# rho : density of domain
# U0 : magnitude of source
# xc : source location in domain (Vector)
# savepath: where to output the data files
##############################################################################
def wavesolver2d(domain,h,tend,lam,mu,rho,U0,xc,savepath,output="vtk"):
from esys.escript.linearPDEs import LinearPDE
x=domain.getX()
# ... open new PDE ...
mypde=LinearPDE(domain)
#mypde.setSolverMethod(LinearPDE.LUMPING)
mypde.setSymmetryOn()
kmat = kronecker(domain)
mypde.setValue(D=kmat*rho)
# define small radius around point xc
# Lsup(x) returns the maximum value of the argument x
src_radius = 50#2*Lsup(domain.getSize())
print("src_radius = ",src_radius)
dunit=np.array([0.,1.]) # defines direction of point source
# ... set initial values ....
n=0
# initial value of displacement at point source is constant (U0=0.01)
# for first two time steps
u=U0*(cos(length(x-xc)*3.1415/src_radius)+1)*whereNegative(length(x-xc)-src_radius)*dunit
u_m1=u
t=0
u_pot = cbphones(domain,u,[[0,500],[250,500],[400,500]],2)
u_pc_x1 = u_pot[0,0]
u_pc_y1 = u_pot[0,1]
u_pc_x2 = u_pot[1,0]
u_pc_y2 = u_pot[1,1]
u_pc_x3 = u_pot[2,0]
u_pc_y3 = u_pot[2,1]
# open file to save displacement at point source
u_pc_data=open(os.path.join(savepath,'U_pc.out'),'w')
u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3))
# while t<tend:
while t<1.:
# ... get current stress ....
t=1.
##OLD WAY
break
g=grad(u)
stress=lam*trace(g)*kmat+mu*(g+transpose(g))
### ... get new acceleration ....
#mypde.setValue(X=-stress)
#a=mypde.getSolution()
### ... get new displacement ...
#u_p1=2*u-u_m1+h*h*a
###NEW WAY
mypde.setValue(X=-stress*(h*h),Y=(rho*2*u-rho*u_m1))
u_p1 = mypde.getSolution()
# ... shift displacements ....
u_m1=u
u=u_p1
#stress =
t+=h
n+=1
print(n,"-th time step t ",t)
u_pot = cbphones(domain,u,[[300.,200.],[500.,200.],[750.,200.]],2)
# print "u at point charge=",u_pc
u_pc_x1 = u_pot[0,0]
u_pc_y1 = u_pot[0,1]
u_pc_x2 = u_pot[1,0]
u_pc_y2 = u_pot[1,1]
u_pc_x3 = u_pot[2,0]
u_pc_y3 = u_pot[2,1]
# save displacements at point source to file for t > 0
u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3))
# ... save current acceleration in units of gravity and displacements
#saveVTK(os.path.join(savepath,"usoln.%i.vtu"%n),acceleration=length(a)/9.81,
#displacement = length(u), tensor = stress, Ux = u[0] )
if output == "vtk":
saveVTK(os.path.join(savepath,"tonysol.%i.vtu"%n),output1 = length(u),tensor=stress)
else:
quT=qu.toListOfTuples()
#Projector is used to smooth the data.
proj=Projector(mymesh)
smthT=proj(T)
#move data to a regular grid for plotting
xi,yi,zi = toRegGrid(smthT,mymesh,200,200,width,depth)
# contour the gridded data,
# select colour
pl.matplotlib.pyplot.autumn()
pl.clf()
# contour temperature
CS = pl.contour(xi,yi,zi,5,linewidths=0.5,colors='k')
# labels and formatting
pl.clabel(CS, inline=1, fontsize=8)
pl.title("Heat Refraction across a clinal structure.")
pl.xlabel("Horizontal Displacement (m)")
pl.ylabel("Depth (m)")
pl.legend()
if getMPIRankWorld() == 0: #check for MPI processing
pl.savefig(os.path.join(saved_path,"heatrefraction001_cont.png"))
u_pc_data.close()
##############################################################################
# subroutine: wavesolver2d
# Can solve a generic 2D wave propagation problem with a
# point source in a homogeneous medium with friction.
# Arguments:
# domain : domain to solve over
# h : time step
# tend : end time
# lam, mu : lames constants for domain
# rho : density of domain
# U0 : magnitude of source
# xc : source location in domain (Vector)
# savepath: where to output the data files
##############################################################################
def wavesolver2df(domain,h,tend,lam,mu,rho,U0,xc,savepath):
x=domain.getX()
# ... open new PDE ...
mypde=LinearPDE(domain)
#mypde.setSolverMethod(LinearPDE.LUMPING)
mypde.setSymmetryOn()
kmat = kronecker(domain)
mypde.setValue(D=kmat)
b=0.9
# define small radius around point xc
# Lsup(x) returns the maximum value of the argument x
src_radius = 50#2*Lsup(domain.getSize())
print("src_radius = ",src_radius)
dunit=np.array([0.,1.]) # defines direction of point source
# ... set initial values ....
n=0
# initial value of displacement at point source is constant (U0=0.01)
# for first two time steps
u=U0*(cos(length(x-xc)*3.1415/src_radius)+1)*whereNegative(length(x-xc)-src_radius)*dunit
u_m1=u
t=0
u_pot = cbphones(domain,u,[[0,500],[250,500],[400,500]],2)
u_pc_x1 = u_pot[0,0]
u_pc_y1 = u_pot[0,1]
u_pc_x2 = u_pot[1,0]
u_pc_y2 = u_pot[1,1]
u_pc_x3 = u_pot[2,0]
u_pc_y3 = u_pot[2,1]
# open file to save displacement at point source
u_pc_data=open(os.path.join(savepath,'U_pc.out'),'w')
u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3))
while t<tend:
# ... get current stress ....
##OLD WAY
g=grad(u)
stress=lam*trace(g)*kmat+mu*(g+transpose(g))
### ... get new acceleration ....
#mypde.setValue(X=-stress)
#a=mypde.getSolution()
### ... get new displacement ...
#u_p1=2*u-u_m1+h*h*a
###NEW WAY
y = ((rho/(-rho-b*h))*(u_m1-2*u))+(((b*h)/(-rho-(b*h)))*-u)
mypde.setValue(X=-stress*((h*h)/(-rho-h*b)),Y=y)
u_p1 = mypde.getSolution()
# ... shift displacements ....
u_m1=u
u=u_p1
#stress =
t+=h
n+=1
print(n,"-th time step t ",t)
u_pot = cbphones(domain,u,[[300.,200.],[500.,200.],[750.,200.]],2)
# print "u at point charge=",u_pc
u_pc_x1 = u_pot[0,0]
u_pc_y1 = u_pot[0,1]
u_pc_x2 = u_pot[1,0]
u_pc_y2 = u_pot[1,1]
u_pc_x3 = u_pot[2,0]
u_pc_y3 = u_pot[2,1]
# save displacements at point source to file for t > 0
u_pc_data.write("%f %f %f %f %f %f %f\n"%(t,u_pc_x1,u_pc_y1,u_pc_x2,u_pc_y2,u_pc_x3,u_pc_y3))
# ... save current acceleration in units of gravity and displacements
#saveVTK(os.path.join(savepath,"usoln.%i.vtu"%n),acceleration=length(a)/9.81,
#displacement = length(u), tensor = stress, Ux = u[0] )
saveVTK(os.path.join(savepath,"tonysol.%i.vtu"%n),output1 = length(u),tensor=stress)
u_pc_data.close()
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