Any one know how to prove four nonlinear discretization has different properties?

pswpswpsw · February 12, 2018, 17:09

In the context of incompressible fluid dynamics.

The four nonlinear discretizations are
1. rotational form (momentum + kinetic energy conservation)
2. divergence form (momentum conservation)
3. convective form (non of the two are conserved)
4. skew-symmetric (both are conserved)

How to prove? I just read some paper that keep saying those point again and again but I don't know how to prove them.

Any paper or books that you have seen, is helpful!

FMDenaro · February 12, 2018, 17:22

Have a look here
JOURNAL OF COMPUTATIONAL PHYSICS 143, 90–124 (1998)

February 12, 2018, 17:09	Any one know how to prove four nonlinear discretization has different properties?	#1
pswpswpsw New Member Shawn Join Date: Mar 2012 Posts: 21 Rep Power: 14	In the context of incompressible fluid dynamics. The four nonlinear discretizations are 1. rotational form (momentum + kinetic energy conservation) 2. divergence form (momentum conservation) 3. convective form (non of the two are conserved) 4. skew-symmetric (both are conserved) How to prove? I just read some paper that keep saying those point again and again but I don't know how to prove them. Any paper or books that you have seen, is helpful!

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February 12, 2018, 17:22		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,897 Rep Power: 73	Have a look here JOURNAL OF COMPUTATIONAL PHYSICS 143, 90–124 (1998)