An Easy Control of the Artificial Numerical Viscosity to Get Discrete Entropy Inequalities When Approximating Hyperbolic Systems of Conservation Laws

Autor:	Arnaud Duran, Christophe Berthon, Khaled Saleh
Rok vydání:	2020
Předmět:	Conservation law Numerical approximation MathematicsofComputing_NUMERICALANALYSIS Applied mathematics Entropy (arrow of time) Hyperbolic systems Mathematics
Zdroj:	Continuum Mechanics, Applied Mathematics and Scientific Computing: Godunov's Legacy ISBN: 9783030388690
DOI:	10.1007/978-3-030-38870-6_5
Popis:	When considering the numerical approximation of weak solutions of systems of conservation laws, the derivation of discrete entropy inequalities is, in general, very difficult to obtain. In the present work, we present a suitable control of the numerical artificial viscosity in order to recover the expected discrete entropy inequalities. Moreover, the artificial viscosity control turns out to be very easy and the resulting numerical implementation is very convenient.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d07e0ad8ddf73a6cdcacb54d49f81b5f https://doi.org/10.1007/978-3-030-38870-6_5 Zobrazit plný text záznamu