3Dspherical
Please tell me your idea and considerations in doing calculation on 3D Spherical coordinate by finite difference method

Re: 3Dspherical
Everything is similar EXCEPT at the origin r=0, the difference method at r=0 is different and needs special treatment. This is the first thing I thought. Try to solve a simple heat conduction equation you may find the problem.
HL 
Re: 3Dspherical
When I make it into conservative form, In momentem equations, the velocity component are left behind. Can I treat them as production term?

Re: 3Dspherical
Please check the paper "An accurate secondorder approximation factorization method for timedependent incompressible NavierStokes equations in spherical polar coordinates, W.sha, K.Nakabayashi and H.Ueda, J. Comput. phys.142, 4766, 1998". Hope it would help you.

Re: 3Dspherical
The NS equations in the cylinderial and spherical systems can not be written into fully conservation form. I think you can treat the extra terms as production terms (source term).

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