On 11/14/2016 09:52 PM, thomas stephens wrote:
I'm working on a closed codimension-1 surface (think of an ellipsoid) and my
goal is to iteratively evolve this surface to form tubulations and other
localized significant deformations.  My current strategy is to compute an
euler_vector at each iteration and create a new mapping at each time step
through MappingQEulerian.

So far this is going well, but I am only able to achieve relatively mild
deformations before my mesh becomes twisted and deformed, leading to a
catastrophic breakdown of my simulation.

My question for the community is vague, but hopefully there is some discussion
that can be had here:

What are some strategies for updating the euler_vector for MappingQEulerian
that would help maintain mesh quality?  Currently my quadrilaterals are
becoming very skewed as the surface evolves.

I can't say whether that's the same problem that is commonly reported in the literature, but this sort of mesh entanglement is the motivation for people to look at Arbitrary Lagrangian Eulerian (ALE) methods, instead of just Eulerian methods.

Can you show a picture of your mesh? Is it that just the mesh is bad, or the whole geometry?

Best
 W.

--
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Wolfgang Bangerth          email:                 [email protected]
                           www: http://www.math.colostate.edu/~bangerth/

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