Dear all

I have problems involving airfoil geometry where the cells have high aspect
ratio in the boundary layer. Due to this, it is not enough to just use
curved boundaries but the interior faces also need to be curved. See the
attached figure gridq1.pdf

I have implemented a method based on winslow equations, see

http://persson.berkeley.edu/pub/fortunato15winslow.pdf
http://dl.acm.org/citation.cfm?id=2884302

Using this winslow method, I can generate an euler vector that gives valid
cells, see gridqk.pdf which uses degree=4.

Using this euler vector, I want to create a MappingFEField and use that in
my Navier-Stokes DG code.

I have some doubts.

When I use a MappingFEField, do I still need to attach manifold
descriptions to the curved boundaries ? Assume that I am not doing any grid
adaptation.

If I want to adapt the grid, is there a way to use the MappingFEField to
place the new points ?

Are there any functions in deal.II to measure the quality of the mesh ?

The Winslow eqn approach seems quite useful and one can write a general
class that may be useful for many people. At present I only have a serial
implementation.

The approach is as follows:

Start with a Q1 mesh
Attach manifolds
Solve the winslow eqn to get the euler vector
Create a MappingFEField

Thanks
praveen

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Attachment: gridq1.pdf
Description: Adobe PDF document

Attachment: gridqk.pdf
Description: Adobe PDF document

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