Analysis of box schemes for reactive flow problems

SL Mitchell, KW Morton, A Spence

Research output: Contribution to journalArticlepeer-review

5 Citations (SciVal)
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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
Issue number4
Publication statusPublished - Jan 2006


  • Modified equation analysis
  • Reactive flow problems
  • Box scheme


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