| 1 |
# $Id$ |
| 2 |
|
| 3 |
import sys |
| 4 |
import os |
| 5 |
import unittest |
| 6 |
|
| 7 |
from esys.escript import * |
| 8 |
from esys.escript.linearPDEs import * |
| 9 |
from esys import finley |
| 10 |
|
| 11 |
import numarray |
| 12 |
|
| 13 |
Pi=numarray.pi |
| 14 |
numElements=15 |
| 15 |
sml=0.1 |
| 16 |
|
| 17 |
# |
| 18 |
# this test the assemblage of problems with periodic boundary conditions: |
| 19 |
# |
| 20 |
|
| 21 |
# |
| 22 |
# test solution is u_ex=sin(2*Pi*n*x0)*...*sin(2*Pi*n*x_dim) |
| 23 |
# |
| 24 |
def TheTest(msh,constraints,reduce): |
| 25 |
n=ContinuousFunction(msh) |
| 26 |
x=n.getX() |
| 27 |
# set a test problem: |
| 28 |
u_ex=Scalar(1,what=n) |
| 29 |
for i in range(msh.getDim()): |
| 30 |
u_ex*=sin(2*Pi*x[i]) |
| 31 |
mypde=LinearPDE(msh) |
| 32 |
mypde.setSymmetryOn() |
| 33 |
mypde.setDebugOn() |
| 34 |
mypde.setReducedOrderTo(reduce) |
| 35 |
mypde.setValue(A=numarray.identity(msh.getDim()),D=sml,Y=(sml+4*Pi**2*msh.getDim())*u_ex,q=constraints,r=u_ex) |
| 36 |
return Lsup(mypde.getSolution()-u_ex)/Lsup(u_ex) |
| 37 |
|
| 38 |
max_error=0 |
| 39 |
max_text="none" |
| 40 |
for onElements in [False,True]: |
| 41 |
if onElements==True: |
| 42 |
onElmtext=", with elements on faces" |
| 43 |
else: |
| 44 |
onElmtext="" |
| 45 |
for order in [1,2]: |
| 46 |
for reduce in [False,True]: |
| 47 |
if reduce==True: |
| 48 |
redtext=",reduced" |
| 49 |
else: |
| 50 |
redtext="" |
| 51 |
for dim in [2,3]: |
| 52 |
if dim==2: |
| 53 |
for i0 in [True,True]: |
| 54 |
for i1 in [True,True]: |
| 55 |
msh=finley.Rectangle(numElements,numElements,order,periodic0=i0,periodic1=i1,useElementsOnFace=onElements) |
| 56 |
n=ContinuousFunction(msh) |
| 57 |
x=n.getX() |
| 58 |
c=Scalar(0,what=n) |
| 59 |
if i0==False: |
| 60 |
c+=whereZero(x[0])+whereZero(x[0]-1.) |
| 61 |
if i1==False: |
| 62 |
c+=whereZero(x[1])+whereZero(x[1]-1.) |
| 63 |
error=TheTest(msh,c,reduce) |
| 64 |
text="Rectangle order = %d%s%s, periodic0= %d, periodic1= %d: error= %f"%(order,redtext,onElmtext,i0,i1,error) |
| 65 |
print "@@ ",text |
| 66 |
if error>max_error: |
| 67 |
max_error=error |
| 68 |
max_text=text |
| 69 |
elif dim==3: |
| 70 |
for i0 in [True,False]: |
| 71 |
for i1 in [True,False]: |
| 72 |
for i2 in [True,False]: |
| 73 |
msh=finley.Brick(numElements,numElements,numElements,order,periodic0=i0,periodic1=i1,periodic2=i2,useElementsOnFace=onElements) |
| 74 |
n=ContinuousFunction(msh) |
| 75 |
x=n.getX() |
| 76 |
c=Scalar(0,what=n) |
| 77 |
if i0==False: |
| 78 |
c+=whereZero(x[0])+whereZero(x[0]-1.) |
| 79 |
if i1==False: |
| 80 |
c+=whereZero(x[1])+whereZero(x[1]-1.) |
| 81 |
if i2==False: |
| 82 |
c+=whereZero(x[2])+whereZero(x[2]-1.) |
| 83 |
error=TheTest(msh,c,reduce) |
| 84 |
text="Brick order = %d%s%s, periodic0= %d, periodic1= %d, periodic2= %d: error= %f"%(order,redtext,onElmtext,i0,i1,i2,error) |
| 85 |
print "@@ ",text |
| 86 |
if error>max_error: |
| 87 |
max_error=error |
| 88 |
max_text=text |
| 89 |
|
| 90 |
print "@@@@ maximum error for :",max_text |
Parent Directory
| 
Revision Log