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

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 November 5, 2013, 02:50 Conservative form of N-S equation for incompressible flow and sharp interface #1 New Member   SSSSS Join Date: Jun 2011 Posts: 27 Rep Power: 14 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, 05:53
#2
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Filippo Maria Denaro
Join Date: Jul 2010
Posts: 6,402
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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,