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Obstacle too thin in fluid-structure interaction, so I consider it as membrane

About your question #1: Whether something is "thin enough to be a membrane" or not is not a question of thickness. A "membrane" is an object that has no resistance to bending, just ...
• 55.5k

Obstacle too thin in fluid-structure interaction, so I consider it as membrane

For comment #2 I would suggest looking into the immersed boundary (IB) method. The idea behind this method is to combine an Eulerian description of the fluid with a Lagrangian description of the solid ...
• 607

How do we implement the balance of stress on interface in ALE FSI method?

@Wolfgang Bangerth already gave a really good answer to your question and I just want to make some additions that are specific to monolithic ALE-FSI. In fluid-structure interaction, we have the ...
• 776

How do we implement the balance of stress on interface in ALE FSI method?

You deal with it in the usual way: In the derivation of the weak form, at some point or other you integrate by parts and obtain an integral over the interface between the two parts of the domain. In ...
• 55.5k
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Is the weak form on this book about a level set FSI problem wrong?

I find the problem, we can't absorb the gradient of the development of the divergence of in the force term into the pressure, we need to keep the identity matrix while deriving the weak form, then ...
• 193
Notice two things: $\nabla \left(E \left( \left| \nabla \phi \right| \right) \right) = E'(|\nabla\phi|)\nabla \left| \nabla\phi \right|$ \$\nabla \left( E' \left( \left| \nabla \phi \right| \right) \...