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Crank-Nicolson technique for Conservation form of equations

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Old   June 29, 1999, 08:16
Default Crank-Nicolson technique for Conservation form of equations
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Yogesh Talekar
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Can some body tell me whether Conservation form of equations are solvable by Crank-Nicolson technique. Is there anything in the literature
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Old   July 1, 1999, 09:45
Default Re: Crank-Nicolson technique for Conservation form of equations
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Steven M Jachec
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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
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Old   July 20, 1999, 01:45
Default Re: Crank-Nicolson technique for Conservation form of equations
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Abhijit Tilak
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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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