Monotone approximation of a scalar conservation law based on the CABARET scheme in the case of a sign-changing characteristic field

Autor:	N. A. Zyuzina, V. V. Ostapenko
Rok vydání:	2016
Předmět:	Conservation law General Mathematics Computation 010102 general mathematics Mathematical analysis Scalar (physics) Regular polygon Monotonic function Sign changing 01 natural sciences 010101 applied mathematics Monotone polygon 0101 mathematics Mathematics
Zdroj:	Doklady Mathematics. 94:538-542
ISSN:	1531-8362 1064-5624
DOI:	10.1134/s1064562416050185
Popis:	The monotonicity of the CABARET scheme approximating a quasilinear scalar conservation law with a convex flux is analyzed. Monotonicity conditions for this scheme are obtained in domains where the propagation velocity of characteristics of the approximated conservative equation is of constant sign and near sonic lines, at which the propagation velocity of characteristics changes its sign. Test computations illustrating these properties of the CABARET scheme are presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5fcbd8d45e3863003facbfacf04afce2 https://doi.org/10.1134/s1064562416050185 Zobrazit plný text záznamu Plný text ve formátu PDF