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Stokes with viscosity, revisited

 

Hi everybody.

There was a short discussion about Stokes flow on complex geometries. I would like to report that a ffc form like the one below works well on complex geometries, I still only have a factor of 1.2 offset in magnitude if I compare it with another fem model. I would like to get some feedback about this form, whether it is okay or not from the developers point of view.

much appreciated,

Alex

ffc form -------------------

scalar = FiniteElement("Lagrange", "triangle", 1)
vector = FiniteElement("Vector Lagrange", "triangle", 1)
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 + nu*q*div(u) + delta*dot(grad(q), grad(p)))*dx
L = dot(v + mult(delta, grad(q)), f)*dx



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