On difference schemes with artificial dispersion

Autor:	Yu.P. Popov, S. B. Popov, Sergei I. Mukhin
Rok vydání:	1983
Předmět:	Nonlinear system business.industry Mathematical analysis Dispersion (optics) General Engineering Dissipative system Computational fluid dynamics Convection–diffusion equation System of linear equations business Hyperbolic partial differential equation Mathematics Numerical stability
Zdroj:	USSR Computational Mathematics and Mathematical Physics. 23:45-53
ISSN:	0041-5553
DOI:	10.1016/s0041-5553(83)80074-3
Popis:	The interior dissipative and dispersion properties of difference schemes for non-linear hyperbolic equations are studied by analyzing the differential approximation. The examples of the quasilinear transport equation and the system of equations of isothermal gas dynamics are considered. A class of schemes with artificial dispersion is studied, whereby the distorting effect of interior dispersion and dissipation on the difference solution is weakened. The theoretical results are confirmed by direct computations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0d70cd37318566f6d31c5d57331629e8 https://doi.org/10.1016/s0041-5553(83)80074-3 Zobrazit plný text záznamu