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

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 fou...

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Bibliographic Details
Published inJournal of scientific computing Vol. 58; no. 1; pp. 61 - 89
Main Authors Svard, Magnus, Azcan, Hatice
Format Journal Article
LanguageEnglish
Published Boston Springer US 01.01.2014
Springer Nature B.V
Subjects
Accuracy
Algorithms
Boundaries
Boundary conditions
Computation
Computational Mathematics and Numerical Analysis
Conservation laws
Entropy
Euler equations
Euler-Lagrange equation
Inequality
Mathematical analysis
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematical functions
Mathematics
Mathematics and Statistics
Numerical analysis
Stability
Theoretical
Walls
Conservation laws
Non-linear stability
Entropy stability
Finite difference
High-order of accuracy
Boundary conditions
Finite volume
Euler equations
Wall boundary conditions
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Summary: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.
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ISSN:0885-7474
1573-7691
DOI:10.1007/s10915-013-9727-7