Periodicity argument and domain in FunctionManifold

[vachanpo...@gmail.com]

Dear All,

I want to perform a 3D sector (possibly even a single strip of cells) simulation of flow over objects like blunt cone.

As far as I am aware, dealii currently cannot directly read higher order meshes (I had a look at pr10163 and this discussion). So I am currently planning to do this using FunctionManifolds (for spherical and conical portions) and if required, use TransfiniteInterpolationManifold to curve the inner cells too. I would gladly hear out any other options available!

I have two queries regarding FunctionManifold

1. Usage of periodicity argument. The description for this is given in the doc of ChartManifold, but I couldn't understand when to use it. Suppose I want to run an axisymmetric simulation (with no azimuthal velocity) on a 3D sector. I would then set symmetric boundary conditions in the azimuthal direction. Would setting periodicity be required in such a case?

2. Is the domain used for mapping (symbol B in ChartManifold doc) always (or, by default) tensor product of [0,1]? I was unable to confirm this.

Thanks

Vachan