On spurious numerics in solving reactive equations

作者: Dmitry Vladimirovich Kotov , Chi-Wang Shu , Helen M. C. Yee , Wei Wang

DOI:

关键词: Focus (optics)Mathematical modelDiscontinuity (linguistics)Differential equationSpurious relationshipApplied mathematicsStrang splittingMathematical analysisNumerical analysisMathematicsReactive system

摘要: The objective of this study is to gain a deeper understanding the behavior high order shock-capturing schemes for problems with stiff source terms and discontinuities on corresponding numerical prediction strategies. studies by Yee et al. (2012) Wang focus only solving reactive system fractional step method using Strang splitting (Strang 1968). It common practice developers in computational physics engineering simulations include cut off safeguard if densities are outside permissible range. Here we compare spurious same fully coupled without vs. splitting. Comparison between two procedures effects present study. comparison performance these largely based degree which each captures correct location reaction front coarse grids. "coarse grids" means standard mesh density requirement accurate simulation typical non-reacting flows similar problem setup. remarked that, resolve sharp front, local refinement beyond still needed.

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