Singularity on the axis
I have problems in dealing with the singularity on the axis in a full 3D Navier Stokes compressible code in cylindircal coordinates. For the time being I was using staggered grids to avoid the problem, but it seems to me that something is wrong and I got difficulty to reach steady state solutions ( which I found with the axisymmetric code ) Any suggestions, indications or papers ? I also found in most of my simulations, when I am looking for unstable non axisymmetric modes, a mode 2 is firstly excited, although it doesn't grow up but keeps quite moderate. I guess it 's the result of a bad axis treatment. Many thanks

Re: Singularity on the axis
"Numerical Treatment of Polar Coordinate Singularities" by Kamran Mohseni and Tim Colonious, "Journal of Computational Physics 157, 787795 (2000)"
This paper deals especially with singularities for compressible flows. I hope this would be helpful. chandra 
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