| 1 |
ksteube |
1811 |
|
| 2 |
|
|
######################################################## |
| 3 |
|
|
# |
| 4 |
|
|
# Copyright (c) 2003-2008 by University of Queensland |
| 5 |
|
|
# Earth Systems Science Computational Center (ESSCC) |
| 6 |
|
|
# http://www.uq.edu.au/esscc |
| 7 |
|
|
# |
| 8 |
|
|
# Primary Business: Queensland, Australia |
| 9 |
|
|
# Licensed under the Open Software License version 3.0 |
| 10 |
|
|
# http://www.opensource.org/licenses/osl-3.0.php |
| 11 |
|
|
# |
| 12 |
|
|
######################################################## |
| 13 |
|
|
|
| 14 |
|
|
__copyright__="""Copyright (c) 2003-2008 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 |
|
|
http://www.opensource.org/licenses/osl-3.0.php""" |
| 20 |
|
|
__url__="http://www.uq.edu.au/esscc/escript-finley" |
| 21 |
|
|
|
| 22 |
jongui |
1203 |
""" |
| 23 |
|
|
Author: Lutz Gross, l.gross@uq.edu.au |
| 24 |
|
|
Author: John Ngui, john.ngui@uq.edu.au |
| 25 |
|
|
""" |
| 26 |
|
|
|
| 27 |
ksteube |
1147 |
# Import the necessary modules. |
| 28 |
|
|
from esys.escript import * |
| 29 |
|
|
from esys.escript.pdetools import Locator |
| 30 |
|
|
from esys.escript.linearPDEs import LinearPDE |
| 31 |
|
|
from esys.finley import Brick |
| 32 |
|
|
from numarray import identity,zeros,ones |
| 33 |
|
|
from esys.pyvisi import Scene, DataCollector, Ellipsoid, Camera |
| 34 |
|
|
from esys.pyvisi.constant import * |
| 35 |
jongui |
1148 |
import os |
| 36 |
ksteube |
1147 |
|
| 37 |
jongui |
1148 |
PYVISI_EXAMPLE_IMAGES_PATH = "data_sample_images" |
| 38 |
ksteube |
1147 |
X_SIZE = 400 |
| 39 |
|
|
Y_SIZE = 300 |
| 40 |
|
|
JPG_RENDERER = Renderer.ONLINE_JPG |
| 41 |
|
|
|
| 42 |
|
|
ne=32 # number of cells in x_0 and x_1 directions |
| 43 |
|
|
width=10000. # length in x_0 and x_1 directions |
| 44 |
|
|
lam=3.462e9 |
| 45 |
|
|
mu=3.462e9 |
| 46 |
|
|
rho=1154. |
| 47 |
|
|
tend=60 |
| 48 |
|
|
h=(1./5.)*sqrt(rho/(lam+2*mu))*(width/ne) |
| 49 |
|
|
|
| 50 |
|
|
U0=0.01 # amplitude of point source |
| 51 |
|
|
|
| 52 |
|
|
def wavePropagation(domain,h,tend,lam,mu,rho,U0): |
| 53 |
|
|
x=domain.getX() |
| 54 |
|
|
# ... open new PDE ... |
| 55 |
|
|
mypde=LinearPDE(domain) |
| 56 |
|
|
mypde.setSolverMethod(LinearPDE.LUMPING) |
| 57 |
|
|
kronecker=identity(mypde.getDim()) |
| 58 |
|
|
|
| 59 |
|
|
# spherical source at middle of bottom face |
| 60 |
|
|
|
| 61 |
|
|
xc=[width/2.,width/2.,0.] |
| 62 |
|
|
# define small radius around point xc |
| 63 |
|
|
# Lsup(x) returns the maximum value of the argument x |
| 64 |
|
|
src_radius = 0.1*Lsup(domain.getSize()) |
| 65 |
|
|
dunit=numarray.array([1.,0.,0.]) # defines direction of point source |
| 66 |
|
|
|
| 67 |
|
|
mypde.setValue(D=kronecker*rho) |
| 68 |
|
|
# ... set initial values .... |
| 69 |
|
|
n=0 |
| 70 |
|
|
# initial value of displacement at point source is constant (U0=0.01) |
| 71 |
|
|
# for first two time steps |
| 72 |
|
|
u=U0*whereNegative(length(x-xc)-src_radius)*dunit |
| 73 |
|
|
u_last=U0*whereNegative(length(x-xc)-src_radius)*dunit |
| 74 |
|
|
t=0 |
| 75 |
|
|
|
| 76 |
|
|
# define the location of the point source |
| 77 |
|
|
L=Locator(domain,numarray.array(xc)) |
| 78 |
|
|
# find potential at point source |
| 79 |
|
|
u_pc=L.getValue(u) |
| 80 |
|
|
|
| 81 |
|
|
u_pc_x = u_pc[0] |
| 82 |
|
|
u_pc_y = u_pc[1] |
| 83 |
|
|
u_pc_z = u_pc[2] |
| 84 |
|
|
|
| 85 |
|
|
# open file to save displacement at point source |
| 86 |
|
|
#u_pc_data=open('./data/U_pc.out','w') |
| 87 |
|
|
#u_pc_data.write("%f %f %f %f\n"%(t,u_pc_x,u_pc_y,u_pc_z)) |
| 88 |
|
|
|
| 89 |
|
|
# Create a Scene. |
| 90 |
|
|
s = Scene(renderer = JPG_RENDERER, x_size = X_SIZE, y_size = Y_SIZE) |
| 91 |
jongui |
1148 |
|
| 92 |
ksteube |
1147 |
# Create a DataCollector reading directly from escript objects. |
| 93 |
|
|
dc = DataCollector(source = Source.ESCRIPT) |
| 94 |
|
|
|
| 95 |
jongui |
1148 |
# Create an Ellipsoid. |
| 96 |
|
|
e = Ellipsoid(scene = s, data_collector = dc, |
| 97 |
|
|
viewport = Viewport.SOUTH_WEST, |
| 98 |
|
|
lut = Lut.COLOR, cell_to_point = True, outline = True) |
| 99 |
|
|
e.setScaleFactor(scale_factor = 0.7) |
| 100 |
|
|
e.setMaxScaleFactor(max_scale_factor = 1000) |
| 101 |
|
|
e.setRatio(ratio = 10) |
| 102 |
|
|
|
| 103 |
|
|
# Create a Camera. |
| 104 |
|
|
c = Camera(scene = s, viewport = Viewport.SOUTH_WEST) |
| 105 |
|
|
c.isometricView() |
| 106 |
|
|
|
| 107 |
ksteube |
1147 |
while t<0.4: |
| 108 |
|
|
# ... get current stress .... |
| 109 |
|
|
g=grad(u) |
| 110 |
|
|
stress=lam*trace(g)*kronecker+mu*(g+transpose(g)) |
| 111 |
|
|
# ... get new acceleration .... |
| 112 |
|
|
mypde.setValue(X=-stress) |
| 113 |
|
|
a=mypde.getSolution() |
| 114 |
|
|
# ... get new displacement ... |
| 115 |
|
|
u_new=2*u-u_last+h**2*a |
| 116 |
|
|
# ... shift displacements .... |
| 117 |
|
|
u_last=u |
| 118 |
|
|
u=u_new |
| 119 |
|
|
t+=h |
| 120 |
|
|
n+=1 |
| 121 |
|
|
u_pc=L.getValue(u) |
| 122 |
|
|
|
| 123 |
|
|
u_pc_x=u_pc[0] |
| 124 |
|
|
u_pc_y=u_pc[1] |
| 125 |
|
|
u_pc_z=u_pc[2] |
| 126 |
|
|
|
| 127 |
|
|
# ... save current acceleration in units of gravity and displacements |
| 128 |
|
|
if n==1 or n%10==0: |
| 129 |
|
|
|
| 130 |
|
|
dc.setData(acceleration = length(a)/9.81, displacement = u, |
| 131 |
|
|
tensor = stress, Ux = u[0]) |
| 132 |
|
|
|
| 133 |
jongui |
1148 |
# Render the object. |
| 134 |
|
|
s.render(image_name = os.path.join(PYVISI_EXAMPLE_IMAGES_PATH, \ |
| 135 |
|
|
"wave%02d.jpg") % (n/10)) |
| 136 |
ksteube |
1147 |
|
| 137 |
|
|
mydomain=Brick(ne,ne,10,l0=width,l1=width,l2=10.*width/32.) |
| 138 |
|
|
wavePropagation(mydomain,h,tend,lam,mu,rho,U0) |
| 139 |
|
|
|
Parent Directory
| 
Revision Log