Entropy Viscosity Method for High-Order Approximations of Conservation Laws

DOI10.1007/978-3-642-15337-2_39zbMath1216.65136OpenAlexW43348657MaRDI QIDQ2998549

Richard Pasquetti, Jean-Luc Guermond

Publication date: 18 May 2011

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-15337-2_39

zbMATH Keywords

conservation lawsstabilizationnumerical examplesspectral elementsFourier expansionsEuler systemBurgers problemKurganov-Petrova-Popov rotating wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items

Some Observations on the Interaction Between Linear and Nonlinear Stabilization for Continuous Finite Element Methods Applied to Hyperbolic Conservation Laws, Entropy-based viscous regularization for the multi-dimensional Euler equations in low-Mach and transonic flows, Flux-conservative Hermite methods for simulation of nonlinear conservation laws, Enriched Galerkin methods for two-phase flow in porous media with capillary pressure, A Posteriori Local Subcell Correction of High-Order Discontinuous Galerkin Scheme for Conservation Laws on Two-Dimensional Unstructured Grids, From suitable weak solutions to entropy viscosity, Stability analysis of explicit entropy viscosity methods for non-linear scalar conservation equations, A review of element-based Galerkin methods for numerical weather prediction: finite elements, spectral elements, and discontinuous Galerkin, An integral equation method for the numerical solution of the Burgers equation, Viscous regularization for the non-equilibrium seven-equation two-phase flow model, Entropy-based artificial viscosity stabilization for non-equilibrium grey radiation-hydrodynamics, Numerical investigation of a viscous regularization of the Euler equations by entropy viscosity

Cites Work

• Unnamed Item
• Entropy-based nonlinear viscosity for Fourier approximations of conservation laws
• Adaptive Semidiscrete Central-Upwind Schemes for Nonconvex Hyperbolic Conservation Laws
• Convergence of Spectral Methods for Nonlinear Conservation Laws
• Comparison of Several Difference Schemes on 1D and 2D Test Problems for the Euler Equations