On 11/16/22 03:58, HIMAL MAGAR wrote:
I am trying to apply Neumann boundary condition(pressure) on inner wall of a
cylinder. So far, I have followed Lecture 21.55 to apply this condition in 2d
(in step-6 and step-8) and succeeded. But when it came to 3d case, I am having
hard time understanding how to implement pressure which is always normal to
the faces of inner wall.
Himal:
the first step in these cases is always to write down the weak formulation of
the equation. Can you explain what the equation is and where Neumann boundary
conditions enter? There shouldn't really be a difference between 2d and 3d,
you will generally just end up with a term of the form
(p, n.phi)_{Gamma_N}
where p is the prescribed pressure, n the normal vector, and phi a
(vector-valued) test function, all integrated over that part of the boundary
Gamma_N where you impose Neumann boundary conditions. The form of this
integral does not depend on whether you are in 2d or 3d.
Best
W>
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Wolfgang Bangerth email: [email protected]
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