Numerical approximations of the Keyfitz-Kranzer type models by using entropy stable schemes

Carlos A. Vega1
Departmento de Matem´┐Żaticas y Estad?stica,
Universidad del Norte,
Km 5 Via Puerto Colombia Barranquilla, Colombia.

Sonia Valbuena
Grupo GIHEM,
Universidad del Atl´┐Żantico,
Km 7 Via Puerto Colombia Barranquilla, Colombia.

Abstract: Numerical simulations for the Keyfitz-Kranzer system of equations are developed by using high-order entropy stable schemes proposed by Fjordholm et. al. [Arbitrary high-order essentially non-oscillatory entropy stable schemes for systems of conservation laws, SIAM J. Numer. Anal., 50, 544-573 (2012)]. Since existence of entropy pairs is an important ingredient to this approach, they are described in details. Numerical experiments include errors and convergence rates to illustrate the performance of the schemes.

c 2020 European Society of Computational Methods in Sciences and Engineering

Keywords: Conservation laws, Keyfitz-Kranzer system, entropy conservative flux, entropy stable scheme.
Mathematics Subject Classification: 35L65, 35L45, 35L67, 58J45, 65M06


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