Analysis of box schemes for reactive flow problems


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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    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.


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


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