Support for axisymmetric geometries

[Nicholas Deak]

Hi all,

I am trying to solve the Laplace problem for a 3D pin-to-pin plasma discharge with a voltage applied at one of the pins, so that we can take the solution and impose it on a 1D streamer simulation. I have attached a schematic showing the 3D configuration, as well as a 2D mesh that I rotated in gmsh to create the 3D mesh (given the problem's axisymmetric nature). 

The issue I'm having is that when I try to generate a hexahedra mesh in gmsh, I end up with a number tetrahedra, and a large number of elements in total (~60k) for my coarse grid. it seems like it may be easier to solve our problem on the 2D mesh, with axisymmetric BCs and source terms. 

To that end I was wondering - does deal.ii have any built in support for axisymmetric problems? I've looked through the examples available, but haven't seen anything that seems to address this issue directly. I'm guessing there is probably a relatively simple way to do this, but I am still fairly new to deal.ii so it wasn't clear to me what the best route would be. Any advice would be very much appreciated.

Thanks,

Nick

[Daniel Arndt]

Nick,

There is no built-in functionality in deal.II to support axisymmetric problems. The best approach is probably reformulate your problem in cylinder coordinates similarly as discussed in https://groups.google.com/forum/#!searchin/dealii/rotational$20symmetry|sort:date/dealii/IPO7vDx0WnI/01J-KnEJBgAJ.

Best,

Daniel

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