Sharpening methods for finite volume schemes Article - Août 2016

Bruno Després, Samuel Kokh, Frédéric Lagoutière

Bruno Després, Samuel Kokh, Frédéric Lagoutière, « Sharpening methods for finite volume schemes  », Handbook of Numerical Analysis, août 2016. ISSN 1570-8659

Abstract

We review sharpening methods for finite volume schemes, with an emphasis on the basic structure of sharpening methods. It covers high order methods and non linear techniques for linear advection, Glimm’s method, anti-diffusion techniques, the interaction of these techniques with the PDE structures. Additional approaches like level sets, interface reconstruction and Vofire are also discussed. We also present the algorithmic structure of the downwind method for a simple two components problem.

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