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!

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
Setting the height of the stream in the free channel	kevinmccartin	CFX	12	October 13, 2022 22:43
Adding material to CFX material library	marlon	CFX	2	October 16, 2016 10:33
Material Properties for Sat. Liquid and Sat. Vapor	Blackhawks84	FLUENT	0	September 17, 2012 20:11
error message	cuteapathy	CFX	14	March 20, 2012 07:45
Constant velocity of the material	Sas	CFX	15	July 13, 2010 09:56

February 12, 2018, 17:22		#2
FMDenaro Senior Member Filippo Maria Denaro Join Date: Jul 2010 Posts: 6,882 Rep Power: 73	Have a look here JOURNAL OF COMPUTATIONAL PHYSICS 143, 90–124 (1998)