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MacCormack's method for advection-reaction equations

Griffiths, D.F. and Higham, D.J. (2000) MacCormack's method for advection-reaction equations. Computational Fluid Dynamics Journal, 9 (1). ISSN 0918-6654

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Abstract

MacCormack's method is an explicit, second order finite difference scheme that is widely used in the solution of hyperbolic problems. Here, we consider MacCormack's method applied to the linear advection equation with nonlinear source term. Various features of the method are analysed. First, we show that the conventional implementation is not stable for Courant numbers close to one unless a small time-step is used.

Item type: Article
ID code: 175
Keywords: advection-reaction equations, mathematics, fluid dynamics, Electronic computers. Computer science, Mathematics
Subjects: Science > Mathematics > Electronic computers. Computer science
Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Related URLs:
Depositing user: Ms Sarah Scott
Date Deposited: 03 Mar 2006
Last modified: 12 Mar 2012 10:35
URI: http://strathprints.strath.ac.uk/id/eprint/175

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