Finite volume schemes and Lax-Wendroff consistency
Numerical Analysis
2022-07-21 v2 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.2106.06380,
title = {Finite volume schemes and Lax-Wendroff consistency},
author = {R Eymard and T Gallouët and R Herbin and J. -C Latché},
journal= {arXiv preprint arXiv:2106.06380},
year = {2022}
}