A new modified Local Lax–Friedrichs scheme for scalar conservation laws with discontinuous flux

A new modified Local Lax–Friedrichs scheme for scalar conservation laws with discontinuous flux

The interface flux plays an important role in designing numerical methods for scalar conservation laws with discontinuous flux function in space. Based on the (A,B)-type entropy solutions defined by Bürger et al. (2009), we introduce a new modified Local Lax–Friedrichs interface flux to approximate...

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Veröffentlicht in:Applied mathematics letters 2020-07, Vol.105, p.106328, Article 106328
Hauptverfasser: sun, Xia, Wang, Guodong, Ma, Yanying
Format: Artikel
Sprache:eng
Schlagworte:
Conservation laws
Discontinuous flux
Interface flux
Local Lax–Friedrichs flux
Monotone
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Zusammenfassung:The interface flux plays an important role in designing numerical methods for scalar conservation laws with discontinuous flux function in space. Based on the (A,B)-type entropy solutions defined by Bürger et al. (2009), we introduce a new modified Local Lax–Friedrichs interface flux to approximate this system. The interface flux is Lipschitz continuous and monotone with respect to its two variables. Moreover, we present some numerical experiments to demonstrate the efficiency of our method.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2020.106328