# Conservative form of N-S equation for incompressible flow and sharp interface

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 November 5, 2013, 03:50 Conservative form of N-S equation for incompressible flow and sharp interface #1 New Member   SSSSS Join Date: Jun 2011 Posts: 13 Rep Power: 7 I have some questions. I am learning CFD. I heard that in single-phase flow, non-conservative form of N-S equations gives inaccurate results. Could you explain why? I heard that in two-phase flow with sharp interface, conservative form of N-S equations won't work due to numerical instability near interface. is the instability caused by ill-posedness of matrix in Poisson equation? Could you explain in detail? If conservative form of N-S equation does not work in two-phase flow with sharp interface, then is it possible to mix conservative and non-conservative form of N-S equations in a way that conservative form deals with deep flow and non-conservative form deals with near sharp interface? If possible, could you show me some literatures? Thanks in advance.

November 5, 2013, 06:53
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Filippo Maria Denaro
Join Date: Jul 2010
Posts: 2,600
Rep Power: 33
Quote:
 Originally Posted by doctorWho I have some questions. I am learning CFD. I heard that in single-phase flow, non-conservative form of N-S equations gives inaccurate results. Could you explain why? I heard that in two-phase flow with sharp interface, conservative form of N-S equations won't work due to numerical instability near interface. is the instability caused by ill-posedness of matrix in Poisson equation? Could you explain in detail? If conservative form of N-S equation does not work in two-phase flow with sharp interface, then is it possible to mix conservative and non-conservative form of N-S equations in a way that conservative form deals with deep flow and non-conservative form deals with near sharp interface? If possible, could you show me some literatures? Thanks in advance.
Hi,
just check for some previous discussions about this issue, you will find many details

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