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-   -   Crank-Nicolson technique for Conservation form of equations (https://www.cfd-online.com/Forums/main/961-crank-nicolson-technique-conservation-form-equations.html)

 Yogesh Talekar June 29, 1999 08:16

Crank-Nicolson technique for Conservation form of equations

Can some body tell me whether Conservation form of equations are solvable by Crank-Nicolson technique. Is there anything in the literature

 Steven M Jachec July 1, 1999 09:45

Re: Crank-Nicolson technique for Conservation form of equations

I have only seen C-N methods used to numerically solve parabolic PDEs.....do your governing equations fit this type of PDE. If so, you may be able to use C-N.

Steven

 Abhijit Tilak July 20, 1999 01:45

Re: Crank-Nicolson technique for Conservation form of equations

hello yogesh,

take a look at the book Numerical Heat Transfer and Fluid Flow by S.V.Patankar , Hemisphere Publishing 1980 ( 2nd ed. i suppose). He uses finite volume based finite difference method which is conservative however the method you are talking about is used to solve problems that are of marching type. ie one of the coordinates is a one - way coordinate, ie here it's the time. the equation has to be essentially a parabolic partial diff. equn. is that ok? bye

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