Second order scheme for scalar conservation law with discontinuous flux

Autor:	Adimurthi, K, Sudarshan Kumar, Gowda, G. D. Veerappa
Rok vydání:	2013
Předmět:	Mathematics - Analysis of PDEs
Druh dokumentu:	Working Paper
Popis:	Burger et al.in \cite{karlsen-1} proposed a flux TVD (FTVD) second order scheme by using a new non local limiter algorithm for conservation laws with discontinuous flux modeling clarifier thickener units. In this work we show that their idea of constructing FTVD second order schemes also can be used to construct second order schemes satisfying (A,B)-entropy condition for the scalar conservation law with discontinuous flux with proper modification at the interface. We present numerical experiments to show the superiority of the second order schemes over the monotone first order schemes. We show further from numerical experiments that solutions from these schemes are comparable with the second order schemes obtained from minimod limiter. Comment: Updating the paper
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1303.5215 Zobrazit plný text záznamu View this record from Arxiv