2000 character limit reached
Finite volume schemes and Lax-Wendroff consistency (2106.06380v2)
Published 11 Jun 2021 in math.NA and cs.NA
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.