Finite volume schemes and Lax-Wendroff consistency

T. Gallouët, Robert Eymard, J. C. Latché, Raphaèle Herbin

Publication date: 11 June 2021

Abstract: We present a (partial) historical summary of the mathematical analysis of finite differences and finite volumes methods, paying a special attention to the Lax-Richtmyer and Lax-Wendroff theorems. We then state a Lax-Wendroff consistency result for convection operators on staggered grids (often used in fluid flow simulations), which illustrates a recent generalization of the flux consistency notion designed to cope with general discrete functions.

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