doc/examples/helmholtz.py

# $Id$
from esys.escript import *
from esys.escript.linearPDEs import LinearPDE
from esys.finley import Rectangle
#... set some parameters ...
kappa=1.
omega=0.1
eta=10.
#... generate domain ...
mydomain = Rectangle(l0=5.,l1=1.,n0=50, n1=10)
#... open PDE and set coefficients ...
mypde=LinearPDE(mydomain)
mypde.setSymmetryOn()
n=mydomain.getNormal()
x=mydomain.getX()
mypde.setValue(A=kappa*kronecker(mydomain),D=omega,Y=omega*x[0], \
               d=eta,y=kappa*n[0]+eta*x[0])
#... calculate error of the PDE solution ...
u=mypde.getSolution()
print "error is ",Lsup(u-x[0])
# output should be similar to "error is 1.e-7"
saveVTK("x0.xml",sol=u)
 
1	jgs	102	# $Id$
2	gross	567	from esys.escript import *
3	gross	569	from esys.escript.linearPDEs import LinearPDE
4	jgs	108	from esys.finley import Rectangle
5	jgs	102	#... set some parameters ...
6	jgs	108	kappa=1.
7	jgs	102	omega=0.1
8			eta=10.
9			#... generate domain ...
10	jgs	113	mydomain = Rectangle(l0=5.,l1=1.,n0=50, n1=10)
11	jgs	102	#... open PDE and set coefficients ...
12	gross	567	mypde=LinearPDE(mydomain)
13			mypde.setSymmetryOn()
14	jgs	102	n=mydomain.getNormal()
15			x=mydomain.getX()
16	gross	569	mypde.setValue(A=kappakronecker(mydomain),D=omega,Y=omegax[0], \
17			d=eta,y=kappan[0]+etax[0])
18	jgs	102	#... calculate error of the PDE solution ...
19			u=mypde.getSolution()
20	gross	569	print "error is ",Lsup(u-x[0])
21	lkettle	575	# output should be similar to "error is 1.e-7"
22			saveVTK("x0.xml",sol=u)
23
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