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# $Id$ |
# $Id$ |
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from esys.escript import * |
from esys.escript import * |
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import esys.finley |
from esys.linearPDEs import LinearPDE |
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import numarray |
from esys.finley import Brick |
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from numarray import identity |
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ne=10 # number of cells in x_0-direction |
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depth=10000. # length in x_0-direction |
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width=100000. # length in x_1 and x_2 direction |
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lam=3.462e9 |
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mu=3.462e9 |
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rho=1154. |
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tau=10. |
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umax=2. |
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tend=60 |
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h=1./5.*sqrt(rho/(lam+2*mu))*(depth/ne) |
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print "time step size = ",h |
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def s_tt(t): return umax/tau**2*(6*t/tau-9*(t/tau)**4)*exp(-(t/tau)**3) |
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def wavePropagation(domain,dt,tend,lame_lambda,lame_mu,rho,xc,r,tau,umax): |
def wavePropagation(domain,h,tend,lam,mu,rho,s_tt): |
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# ... get characteristic function of impact region: |
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x=domain.getX() |
x=domain.getX() |
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location=x[0].whereZero()*(length(x-xc)-r).whereNegative() |
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# ... open new PDE ... |
# ... open new PDE ... |
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myPDE=LinearPDE(mydomain) |
mypde=LinearPDE(domain) |
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myPDE.setLumpingOn() |
mypde.setLumpingOn() |
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myPDE.setValue(D=numarray.identity(myPDE.getDim())*rho,q=location*numarray.identity(myPDE.getDim())[:,0]) |
kronecker=identity(mypde.getDim()) |
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# ... set the initial values : |
mypde.setValue(D=kronecker*rho, \ |
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t=dt |
q=x[0].whereZero()*kronecker[1,:]) |
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# ... set initial values .... |
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n=0 |
n=0 |
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u=0 |
u=Vector(0,ContinuousFunction(domain)) |
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v=0 |
u_last=Vector(0,ContinuousFunction(domain)) |
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a=0 |
t=0 |
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while t<tend: |
while t<tend: |
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# ... up-date displacement .... |
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u=u+dt*v+dt**2/2*a |
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# ... get current stress .... |
# ... get current stress .... |
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g=grad(u) |
g=grad(u) |
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stress=lame_lambda*trace(g)+lame_mu*(g+transpose(g)) |
stress=lam*trace(g)*kronecker+mu*(g+transpose(g)) |
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# ... get new acceleration .... |
# ... get new acceleration .... |
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myPDE.setValue(X=stress,q=impact_location, \ |
mypde.setValue(X=-stress,r=s_tt(t+h)*kronecker[1,:]) |
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r=umax/tau**2*(6*t/tau-9*(t/tau)^4)*exp(-(t/tau)^3)*numarray.identity(myPDE.getDim())[:,0]) |
a=mypde.getSolution() |
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a_new=myPDE.getSolution() |
# ... get new displacement ... |
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# ... update velocity ... |
u_new=2*u-u_last+h**2*a |
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v=v+h/2*(a+a_new) |
# ... shift displacements .... |
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# ... next time step ... |
u_last=u |
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a=a_new |
u=u_new |
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t+=dt |
t+=h |
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n+=1 |
n+=1 |
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# ... save current displacement: |
print n,"-th time step t ",t |
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if n%10: u.saveDX("u.%i.dx"%n) |
print "a=",inf(a),sup(a) |
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print "u=",inf(u),sup(u) |
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# ... save current acceleration in units of gravity |
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if n%10==0: (length(a)/9.81).saveDX("u.%i.dx"%(n/10)) |
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ne=6 |
print int(width/depth) |
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lame_lambda=3.462e9 |
mydomain=Brick(ne,int(width/depth)*ne,int(width/depth)*ne,l0=depth,l1=width,l2=width) |
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lame_mu=3.462e9 |
wavePropagation(mydomain,h,tend,lam,mu,rho,s_tt) |
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rho=1154. |
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tau=2. |
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umax=15. |
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xc=[0,1000,1000] |
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r=1. |
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tend=10. |
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dt=1./5.*sqrt(rho/(lame_lambda+2*lame_mu))(20000./ne) |
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print "step size = ",dt |
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mydomain=finely.Brick(ne,10*ne,10*ne,l0=20000,l1=200000,l2=200000) |
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wavePropagation(mydomain,dt,tend,lame_lambda,lame_mu,rho,xc,r,tau,umax) |
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