The DFLU flux for systems of conservation laws

Autor:	Adimurthi, Adi, Gowda, G. D. Veerappa, Jaffré, Jérôme
Rok vydání:	2013
Předmět:	Computer Science - Numerical Analysis
Zdroj:	N° RR-8442 (2013)
Druh dokumentu:	Working Paper
Popis:	The DFLU numerical flux was introduced in order to solve hyperbolic scalar conservation laws with a flux function discontinuous in space. We show how this flux can be used to solve certain class of systems of conservation laws such as systems modeling polymer flooding in oil reservoir engineering. Furthermore, these results are extended to the case where the flux function is discontinuous in the space variable. Such a situation arises for example while dealing with oil reservoirs which are heterogeneous. Numerical experiments are presented to illustrate the efficiency of this new scheme compared to other standard schemes like upstream mobility, Lax-Friedrichs and Force schemes. Comment: This paper is published in the Journal of Computational and Applied Mathematics 247 (2013) 102-123. arXiv admin note: substantial text overlap with arXiv:0908.0320
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1401.0190 Zobrazit plný text záznamu View this record from Arxiv