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• W2007030764 abstract "We present a new class of high-order kinetic flux-splitting schemes for the compressible Euler equations and we prove that these schemes are positivity preserving (i.e., $rho$ and $T$ remain $geq 0$). The first-order kinetic scheme is based on the Maxwellian equilibrium function and was initially proposed by Pullin [J. Comput. Phys., 34 (1980), pp. 231--244]. Our higher-order extension can be seen as a variant of the corrected antidiffusive flux approach. The necessity of a limitation on the antidiffusive correction appears naturally in order to satisfy the constraint of positivity." @default.
• W2007030764 created "2016-06-24" @default.
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• W2007030764 date "1996-10-01" @default.
• W2007030764 modified "2023-10-17" @default.
• W2007030764 title "High-Order Positivity-Preserving Kinetic Schemes for the Compressible Euler Equations" @default.
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• W2007030764 doi "https://doi.org/10.1137/s0036142994271009" @default.
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