Second order scheme for scalar conservation laws with discontinuous flux

Autor:	K Sudarshan Kumar, Adimurthi, G. D. Veerappa Gowda
Rok vydání:	2014
Předmět:	Computational Mathematics Numerical Analysis Conservation law Flux (metallurgy) Applied Mathematics Mathematical analysis Limiter Flux limiter Entropy (arrow of time) Mathematics::Numerical Analysis Mathematics
Zdroj:	Applied Numerical Mathematics. 80:46-64
ISSN:	0168-9274
Popis:	Burger, Karlsen, Torres and Towers in [9] proposed a flux TVD (FTVD) second order scheme with Engquist–Osher flux, by using a new nonlocal limiter algorithm for scalar conservation laws with discontinuous flux modeling clarifier thickener units. In this work we show that their idea can be used to construct FTVD second order scheme for general fluxes like Godunov, Engquist–Osher, Lax–Friedrich, … satisfying (A, B)-interface entropy condition for a scalar conservation law with discontinuous flux with proper modification at the interface. Also corresponding convergence analysis is shown. We show further from numerical experiments that solutions obtained from these schemes are comparable with the second order schemes obtained from the minimod limiter.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c99c64728e204adbd3c966574e5d62fb https://doi.org/10.1016/j.apnum.2014.02.004 Zobrazit plný text záznamu Full Text from ScienceDirect