Entropy stable schemes for initial-boundary-value conservation laws

DOI10.1007/s00033-012-0216-xzbMath1263.65083OpenAlexW1985102833MaRDI QIDQ1925823

Siddhartha Mishra, Magnus Svärd

Publication date: 19 December 2012

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-012-0216-x

zbMATH Keywords

numerical examplesfinite difference schemesinitial boundary value problemsystems of conservation lawsentropy stabilityentropy estimatesEuler equation of gas dynamics

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Gas dynamics (general theory) (76N15) Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Initial-boundary value problems for systems of nonlinear first-order PDEs (35F61)

Related Items (12)

Entropy stable boundary conditions for the Euler equations ⋮ Nonlinear and linearised primal and dual initial boundary value problems: when are they bounded? How are they connected? ⋮ Review of summation-by-parts schemes for initial-boundary-value problems ⋮ A linear and nonlinear analysis of the shallow water equations and its impact on boundary conditions ⋮ Nonlinear boundary conditions for initial boundary value problems with applications in computational fluid dynamics ⋮ Entropy Stability and the No-Slip Wall Boundary Condition ⋮ Third-order accurate entropy-stable schemes for initial-boundary-value conservation laws ⋮ Entropy-stable schemes for the Euler equations with far-field and wall boundary conditions ⋮ An entropy stable finite volume scheme for the two dimensional Navier-Stokes equations on triangular grids ⋮ A discontinuous Galerkin method with Lagrange multiplier for hyperbolic conservation laws with boundary conditions ⋮ Entropy Stable Staggered Grid Discontinuous Spectral Collocation Methods of any Order for the Compressible Navier--Stokes Equations ⋮ ON THE DIRICHLET-NEUMANN BOUNDARY PROBLEM FOR SCALAR CONSERVATION LAWS

Cites Work

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• Summation by Parts, Projections, and Stability. I
• Convergence of the Finite Volume Method for Multidimensional Conservation Laws
• Summation by Parts, Projections, and Stability. II

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