Finite volume schemes and Lax–Wendroff consistency

Autor:	Eymard, Robert, Gallouët, Thierry, Herbin, Raphaele, Latché, Jean-Claude
Jazyk:	English<br />French
Rok vydání:	2022
Předmět:	Finite difference Lax–Wendroff consistency Stability Compactness Convergence Materials of engineering and construction. Mechanics of materials TA401-492
Zdroj:	Comptes Rendus. Mécanique, Vol , Iss , Pp 1-13 (2022)
Druh dokumentu:	article
ISSN:	1873-7234 60134348
DOI:	10.5802/crmeca.132
Popis:	We present a (partial) historical summary of the mathematical analysis of finite difference and finite volume methods, paying 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/153d774364fc4063b4b60134348f443c Zobrazit plný text záznamu View record in DOAJ