On Wednesday, November 16, 2016 at 4:40:05 PM UTC-5, Jean-Paul Pelteret 
wrote:
>
> Hi Tom,
>
> An alternative to implemented a complex mesh update strategy is to define 
> an initial mesh that, when mapped via your Euler vector, produces a higher 
> quality mesh. For example, you could remove 
> <https://www.dealii.org/developer/doxygen/deal.II/namespaceGridGenerator.html#ada140ece81bf38a23e738e0e57f89e97>
>  the 
> "top" element of the coarse mesh and substitute it 
> <https://www.dealii.org/developer/doxygen/deal.II/namespaceGridGenerator.html#a843fe2c5c77374c51fcd18f05690b902>
>  
> with a set of elements with an o-grid topology 
> <https://www.sharcnet.ca/Software/Ansys/17.0/en-us/help/icm_help/graphics/gicm_OGrid_Interpolated.jpg>.
>  
> Of course you would have to have some rough idea as to what your final grid 
> topology will look like in order to optimise this.
>
 
This is interesting. 
 

> By the way, in the images you've shown can you indicate where the low 
> quality elements are? In Paraview there's a filter that can help with this. 
> If one considers the mesh on this ellipse as something mapped from a cubic 
> grid, then I presume you're referring to the elements at the cube corners.
>
 
I made those images using visit, but maybe it's time to move to paraview. 
I'll look for such a function.  The grid elements shown in my last figure 
above may not be pretty, but they may also not be distorted enough to 
affect accuracy of my solution. The problem I am having is that very soon 
after those snapshots the solution breaks down completely.  I agree with 
Wolfgang that the tangential motions are killing me.  I am looking for very 
large deformations over time, such as thin tubulations on the scale of the 
length of the ellipsoid itself.  

Thank you for continuing this conversation with me, I appreciate it.

Tom

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