3D Navier-Stokes solver in spherical coordinates

ferreiradesousa · December 22, 2009, 23:02

Dear all,

I am looking for a 3D incompressible Navier-Stokes solver in spherical coordinates. Preferably a pseudo-spectral code.

Any help would be greatly appreciated! Thanks!

--
Paulo Ferreira de Sousa, PhD
Visiting Scholar
Department of Mechanical Engineering
Vanderbilt University
http://challenge.vuse.vanderbilt.edu/~psousa/

nvgirishs · December 24, 2009, 14:29

Change $\nabla$ in the Navier Stokes:

$\frac{D}{Dt} = \frac{\partial}{\partial t}+ v\cdot\nabla$

to

$\nabla = \hat{r} \frac{\partial }{ \partial r } + \hat{\theta} \frac{\partial }{ r \partial \theta } + \hat{\phi} \frac{\partial }{r sin \phi \partial \phi }$

ferreiradesousa · December 24, 2009, 14:36

Mr Nivarti,

Thanks for your reply. I should have been more precise with my request, so thanks for pointing that out for me.

What I meant was that I was looking for a code to calculate the flow around a sphere, in spherical coordinates.

Thanks,

Paulo

December 22, 2009, 23:02	3D Navier-Stokes solver in spherical coordinates	#1
ferreiradesousa New Member Paulo Ferreira de Sousa Join Date: Oct 2009 Posts: 7 Rep Power: 17	Dear all, I am looking for a 3D incompressible Navier-Stokes solver in spherical coordinates. Preferably a pseudo-spectral code. Any help would be greatly appreciated! Thanks! -- Paulo Ferreira de Sousa, PhD Visiting Scholar Department of Mechanical Engineering Vanderbilt University http://challenge.vuse.vanderbilt.edu/~psousa/

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December 24, 2009, 14:29		#2
nvgirishs New Member Girish Nivarti Join Date: Dec 2009 Posts: 3 Rep Power: 17	Change $\nabla$ in the Navier Stokes: $\frac{D}{Dt} = \frac{\partial}{\partial t}+ v\cdot\nabla$ to $\nabla = \hat{r} \frac{\partial }{ \partial r } + \hat{\theta} \frac{\partial }{ r \partial \theta } + \hat{\phi} \frac{\partial }{r sin \phi \partial \phi }$

December 24, 2009, 14:36		#3
ferreiradesousa New Member Paulo Ferreira de Sousa Join Date: Oct 2009 Posts: 7 Rep Power: 17	Mr Nivarti, Thanks for your reply. I should have been more precise with my request, so thanks for pointing that out for me. What I meant was that I was looking for a code to calculate the flow around a sphere, in spherical coordinates. Thanks, Paulo