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-   -   Difference between Lax and MacCormack methods on solutions of 1D problem. (http://www.cfd-online.com/Forums/main/1723-difference-between-lax-maccormack-methods-solutions-1d-problem.html)

AERO January 18, 2000 10:50

Difference between Lax and MacCormack methods on solutions of 1D problem.
 
Hello, I am a beginner in CFD. I would like to know what is the difference between the Lax method and the MacCormack method solution on a one dimiensional problem. I would also like to know how CFL and the aritificial viscosity coefficient effects the results.

Many thanks.

Aeronaut2000@hotmail.com

John C. Chien January 18, 2000 16:56

Re: Difference between Lax and MacCormack methods on solutions of 1D problem.
 
(1). Peter Lax and Burton Wendroff, "Systems of Conservation Laws", AIAA Selected Reprints, Computational Fluid Dynamics, C.K. Chu/Editor, Vol.IV, 1968,(Communications on pure and Applied Mathematics, Vol. xIII, 217-237,1960. (2). G. A. Sod,"A survey of several Finite difference methods for systems of non-linear hyperbolic Conseravation Laws", J. Comput. Phys, vol.27,1978, pp 1-31. (3). Paul Woodward & Phillip Colella, "The numerical Simulation of Two-Dimensional Fluid Flow with strong shock.",J. Comp. Physics, 54,115-1173, 1984. (4). R.W.MacCormack and H. Lomax,"numerical Solution of compressible viscous flows".pp 289-316, Annual Review of Fluid Mechanics , Vol,11, 1979(co-editor, Van Dyke).

Bert Laney January 19, 2000 15:36

Re: Difference between Lax and MacCormack methods on solutions of 1D problem.
 
You might try one of the books listed at http://capella.colorado.edu/~laney/otherbooks.html. The decriptions and tables at the bottom of the page will help you determine which books cover the particular subjects you are interested in. From your message, I might guess that you want the most basic treatment available, in which case I would suggest John Anderson's book.


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