\(L^2\)-dissipativity criteria for linearized explicit finite difference schemes for regularization of one-dimensional gas dynamics equations

DOI10.1007/S10958-019-04639-6zbMath1465.65078OpenAlexW2996101957WikidataQ126535377 ScholiaQ126535377MaRDI QIDQ2190491

T. A. Lomonosov

Publication date: 19 June 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-019-04639-6

zbMATH Keywords

regularizationsgas dynamics equationsexplicit finite difference schemes

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Singular perturbations in context of PDEs (35B25) Gas dynamics (general theory) (76N15) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (1)

On \(L^2\)-dissipativity of a linearized scheme on staggered meshes with a regularization for 1D barotropic gas dynamics equations

Uses Software

• QHDFoam

Cites Work

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• On conditions for \(L^2\)-dissipativity of linearized explicit QGD finite-difference schemes for one-dimensional gas dynamics equations
• On conditions for weak conservativeness of regularized explicit finite-difference schemes for 1D barotropic gas dynamics equations
• A new Eulerian model for viscous and heat conducting compressible flows
• Conditions for \(L^2\)-dissipativity of linearized explicit difference schemes with regularization for 1D barotropic gas dynamics equations
• Quasi-Gas Dynamic Equations
• Viscous Regularization of the Euler Equations and Entropy Principles

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