Entropy-Stable Schemes for the Euler Equations with Far-Field and Wall Boundary Conditions

Authors:
Magnus Svärd;Hatice Özcan
Affiliations:
Department of Mathematics, University of Bergen, Bergen, Norway;School of Mathematics, University of Edinburgh, Edinburgh, Scotland
Venue:
Journal of Scientific Computing
Year:
2014

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Abstract

In this paper entropy-stable numerical schemes for the Euler equations in one space dimension subject to far-field and wall boundary conditions are derived. Furthermore, a stable numerical treatment of interfaces between different grid domains is proposed. Numerical computations with second- and fourth-order accurate schemes corroborate the stability and accuracy of the proposed boundary treatment.