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Re: non linear viscosity && gmsh conversion revisited

 

Thanks for the input Anders, I will make further testing and post results on the list.

Some other thing I mentioned earlier in a mail is that a vertex is missing if one is converting a gmsh msh file with the dolfin-convert in 2d. here an example. The test.geo file would be:

Point(1) = {0,0,0,15};
Point(2) = {3000,0,0,15};
Point(3) = {3000,200,0,15};
Point(4) = {0,200,0,15};
Line(1) = {2,1};
Line(2) = {1,4};
Line(3) = {4,3};
Line(4) = {3,2};
Line Loop(5) = {3,4,1,2};
Plane Surface(6) = {5};
Physical Surface(7) = {6};

and if I mesh it with gmsh, ver. 1.64.0 like that

#  gmsh test.geo -2 -clscale 1.0 -o test.msh

and than run

#  dolfin-convert test.msh test.xml

the vertex with the corner points nr. 597, 1123 and 2045 is missing.

can anyone reproduce that problem?

cheers,

Alex

Anders Logg wrote:

On Fri, May 12, 2006 at 11:51:16AM +0000, Alexander Jarosch wrote:
Hello everybody,

I try to do a non linear viscous Stokes problem and I use this ffc form :

elementE = FiniteElement("Vector Lagrange", "triangle", 1, 3)
elementU = FiniteElement("Vector Lagrange", "triangle", 1)


v = TestFunction(elementE)  # test function
e = TrialFunction(elementE)  # strain (to be computed)
u = Function(elementU)       # displacement

def normal_strain(u): # eps_xx    eps_yy             eps_xy
  return [u[0].dx(0), u[1].dx(1), 0.5*(u[0].dx(1) + u[1].dx(0))]

a = dot(v, e)*dx
L = dot(v, normal_strain(u))*dx

to get my strain rates from the velocity field coming out of the stokes problem. Than use these strain rates to calculate new viscosities and iterate the stokes problem until I converge to a non linear fluid. But somehow the approach is not stable and the strain rates seems to go wrong already after the initial stokes solution.

Did anybody try something similar and maybe can give me some tips on how to do a better approach?

Thanks for any suggestions,

Alex

There is a demo in src/demo/pde/elasticity/ for post-processing of
strain rates which computes both the normal and the shear strains.
Maybe you could compare with that demo to find out what goes wrong?

Your variational problem looks ok and should compute the projection of
[u[0].dx(0), u[1].dx(1), 0.5*(u[0].dx(1) + u[1].dx(0))].

Another thing you could experiment with is to project onto
discontinuous Lagrange. I think I remember I got unexpected results
when I experimented with something similar a while ago and projected
onto linears.

/Anders

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--
Alexander H. Jarosch

Jarðvísindastofnun Háskólans
Institute of Earth Sciences, University of Iceland
Náttúrufræðahús, Askja
Building of Natural Sciences, Askja
Sturlugata 7
IS - 101 Reykjavík
Iceland

Tel.: +354 525 4906
http://raunvis.hi.is/~jarosch/




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