Research

Analysis of box schemes for reactive flow problems


Reference:

Mitchell, S., Morton, K. and Spence, A., 2006. Analysis of box schemes for reactive flow problems. SIAM Journal on Scientific Computing, 27 (4), pp. 1202-1225.

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    http://siamdl.aip.org/sisc

    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.

    Details

    Item Type Articles
    CreatorsMitchell, S., Morton, K. and Spence, A.
    DOI10.1137/030601910
    Uncontrolled Keywordsmodified equation analysis, reactive flow problems, box scheme
    DepartmentsFaculty of Science > Mathematical Sciences
    RefereedYes
    StatusPublished
    ID Code166
    Additional Information© Society for Industrial and Applied Mathematics

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