The Roe-type interface flux for conservation laws with discontinuous flux function. (January 2018)

• Record Type: Journal Article
• Authors: Wang, Guodong; Hu, Yanbo
• Is Part Of: Applied mathematics letters. Volume 75(2018)
• Page Start: 68
• Page End: 73
• Publication Date: 2018-01
• Subjects: Conservation laws -- Discontinuous flux -- Roe-type interface flux -- Monotone; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2017.07.001
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: We consider the scalar conservation laws with discontinuous flux function ( 1 − H ( x ) ) g ( u ) + H ( x ) f ( u ), where f and g are smooth nonlinear functions, and H ( x ) is the Heaviside function. By entropy solutions of type ( A, B ), which is defined by Bürger et al. (2009), we introduce a simple and efficient Roe-type interface flux, which is Lipschitz continuous and monotone. Riemann solvers are not involved at the interface x = 0 . In addition, some numerical results are presented to demonstrate the behavior of this interface flux.