Analysis of box schemes for reactive flow problems

SL Mitchell, KW Morton, A Spence

Research output: Contribution to journalArticle

4 Citations (Scopus)
39 Downloads (Pure)

Abstract

Key properties of the box scheme are shown to be advantageous for reactive flow problems. Unconditional stability and compact conservation are shown by a detailed modified equation analysis to enable the scheme to reflect exactly the “reduced speed,” enhanced diffusion, and dispersion which are typical of such “hyperbolic conservation laws with relaxation.” A novel modified equation analysis is also used to show how the spurious checkerboard mode behaves and can be controlled. Numerical experiments for some nonlinear one-dimensional problems and a two-dimensional problem demonstrate that the behavior of the scheme deduced from a simple model problem has general validity.
Original languageEnglish
Pages (from-to)1202-1225
Number of pages24
JournalSIAM Journal on Scientific Computing
Volume27
Issue number4
DOIs
Publication statusPublished - Jan 2006

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Box Scheme
Conservation
Modified Equations
Unconditional Stability
Hyperbolic Conservation Laws
Experiments
Numerical Experiment
Demonstrate

Keywords

  • Modified equation analysis
  • Reactive flow problems
  • Box scheme

Cite this

Analysis of box schemes for reactive flow problems. / Mitchell, SL; Morton, KW; Spence, A.

In: SIAM Journal on Scientific Computing, Vol. 27, No. 4, 01.2006, p. 1202-1225.

Research output: Contribution to journalArticle

Mitchell, SL ; Morton, KW ; Spence, A. / Analysis of box schemes for reactive flow problems. In: SIAM Journal on Scientific Computing. 2006 ; Vol. 27, No. 4. pp. 1202-1225.
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