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[Kyle Williston <question152917@xxxxxxxxxxxxxxxxxxxxx>]

Question #152917 on DOLFIN changed:
https://answers.launchpad.net/dolfin/+question/152917

    Status: Answered => Open

Kyle Williston is still having a problem:
Thank you for the information! The tutorials are very helpful. I should
join your course lol.

I still do have questions regarding my specific question.

I am considering 2D Poiseuille flow that is two parallel plates of
length x=L positioned at y=+H/-H. A pressure gradient is applied that
directs the flow and the top and bottom are considered to have no-slip
conditions.

So from the Navier-Stokes equation the equation of linear momentum for
2d Poiseuille flow reads:

dp/dx - u(d^2v)/(dy^2) = 0

and

dp/dy = 0

Where:

p=pressure
u=viscosity
v=velocity
x=pipe length
y=pipe width

BCs are such that:

v = 0 at the top and bottom
v inlet = (1-y^2)
p outlet = 0

I guess I am stuck more at the variational formulation of the problem
than anything else. I think with the variational formulation part I
would be able to solve the problem using FEniCS. I have been reading
about the variational formulation through tutorials but I don't
understand it completely.

Grazie!

Kyle

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