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

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.

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• Item metadata

  Item type:	Article
  ID code:	175
  Dates:	Date Event 2000 Published
  Subjects:	Science > Mathematics > Electronic computers. Computer science Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Ms Sarah Scott
  Date deposited:	03 Mar 2006
  Last modified:	08 Apr 2024 15:17
  Related URLs:	http://wwwsoc.nii.ac.jp/jscfd/
  URI:	https://strathprints.strath.ac.uk/id/eprint/175