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Re: Stokes on complex geometries

 

I use a direct solver and I have a boundary where the velocities = 0 and on that boundary the pressure fluctuates even with a mixed Taylor-Hood approch.

Alex

Garth N. Wells wrote:

On Tue, 2006-05-23 at 14:46 +0000, Alexander Jarosch wrote:
Hi,

did anyone play around with the stokes solver on more complex geometries?

The demo in src/demo/pde/convection-diffusion solves the Stokes problem
around a dolphin using a Taylor-Hood element and the result looks OK.

Garth


I only seem to get something senseful using a stabalized stokes like:

scalar = FiniteElement("Lagrange", "triangle", 1)
vector = FiniteElement("Vector Lagrange", "triangle", 2)
system = vector + scalar

(v, q) = TestFunctions(system)
(u, p) = TrialFunctions(system)

f = Function(vector)
h = Function(scalar)
nu = Function(scalar)

beta  = 0.2
delta = beta*h*h

a = (nu*dot(grad(v), grad(u)) - div(v)*p + q*div(u) + delta*dot(grad(q), grad(p)))*dx
L = dot(v + mult(delta, grad(q)), f)*dx

which is fine, but when I compare the solution to another FEM package, they do not quite match. Was there already some benchmarking done?

cheers,

Alex



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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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