CFL number for cylindrical navier stokes eqn

qrie · November 5, 2012, 02:40

Hi,

I'm solving the complete N-S eqns in cylindrical coordinates. However, when I wanted to calculate the CFL number for the same, all references only explained it in one dimension or for Cartesian coordinates.

How do I calculate the CFL number for N-S eqns in cylindrical coordinates?

hilllike · November 5, 2012, 10:06

[QUOTE=qrie;390238]Hi,

I'm solving the complete N-S eqns in cylindrical coordinates. However, when I wanted to calculate the CFL number for the same, all references only explained it in one dimension or for Cartesian coordinates.

How do I calculate the CFL number for N-S eqns in cylindrical coordinates?[/QUOTE

CFL number in cylindrical system is as same as in cartesian coordinates.
Problem in cylindrical system is the cells near the axis are too small to calculate larger domain with regular mesh system.

I wrote a two phase model in cylindrical coordinates, and it is impossible to convergence very well.

good luck!

November 5, 2012, 02:40	CFL number for cylindrical navier stokes eqn	#1
qrie New Member Join Date: Jun 2010 Posts: 20 Rep Power: 16	Hi, I'm solving the complete N-S eqns in cylindrical coordinates. However, when I wanted to calculate the CFL number for the same, all references only explained it in one dimension or for Cartesian coordinates. How do I calculate the CFL number for N-S eqns in cylindrical coordinates?

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November 5, 2012, 10:06		#2
hilllike Member Ren/Xingyue Join Date: Jan 2010 Location: Nagoya , Japan Posts: 44 Rep Power: 16	[QUOTE=qrie;390238]Hi, I'm solving the complete N-S eqns in cylindrical coordinates. However, when I wanted to calculate the CFL number for the same, all references only explained it in one dimension or for Cartesian coordinates. How do I calculate the CFL number for N-S eqns in cylindrical coordinates?[/QUOTE CFL number in cylindrical system is as same as in cartesian coordinates. Problem in cylindrical system is the cells near the axis are too small to calculate larger domain with regular mesh system. I wrote a two phase model in cylindrical coordinates, and it is impossible to convergence very well. good luck!