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Monotone (A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux

AdimurthiRajib DuttaG. D. Veerappa GowdaJérôme Jaffré — 2014

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

For scalar conservation laws in one space dimension with a flux function discontinuous in space, there exist infinitely many classes of solutions which are contractive. Each class is characterized by a connection () which determines the interface entropy. For solutions corresponding to a connection (), there exists convergent numerical schemes based on Godunov or Engquist−Osher schemes. The natural question is how to obtain schemes, corresponding to computationally less expensive...

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