Time asymptotic high order schemes for dissipative BGK hyperbolic systems

DOI10.1007/s00211-015-0720-yzbMath1336.65129arXiv1207.6279OpenAlexW2056406467WikidataQ57776851 ScholiaQ57776851MaRDI QIDQ2634615

Roberto Natalini, Denise Aregba-Driollet, Maya Briani

Publication date: 17 February 2016

Published in: SIAM Journal on Numerical Analysis, Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6279

zbMATH Keywords

numerical examplesasymptotic behaviourChapman-Enskog expansionfinite difference methodsfinite difference schemeshigh-order schemesupwind methodslocal truncation errornumerical testcomparison of methoddissipative BGK hyperbolic systemstime asymptoticdissipative hyperbolic balance lawsRoe-scheme

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Second-order semilinear hyperbolic equations (35L71)

Related Items (10)

Time asymptotic high order schemes for dissipative BGK hyperbolic systems ⋮ Asymptotic-numerical solution of nonlinear systems of one-dimensional balance laws ⋮ Proof of uniform convergence for a cell-centered AP discretization of the hyperbolic heat equation on general meshes ⋮ A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis ⋮ An efficient asymptotic-numerical method to solve nonlinear systems of one-dimensional balance laws ⋮ Asymptotic-preserving and well-balanced schemes for the 1D Cattaneo model of chemotaxis movement in both hyperbolic and diffusive regimes ⋮ An Admissible Asymptotic-Preserving Numerical Scheme for the Electronic M1 Model in the Diffusive Limit ⋮ Error Estimates for well-balanced and time-split schemes on a locally damped wave equation ⋮ Asymptotic preserving scheme for the shallow water equations with source terms on unstructured meshes ⋮ Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds

Cites Work

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• Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation
• Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
• Upwind methods for hyperbolic conservation laws with source terms
• Convergence results for an inhomogeneous system arising in various high frequency approximations
• Global existence of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
• An asymptotic-preserving well-balanced scheme for the hyperbolic heat equations
• Upwinding of the source term at interfaces for Euler equations with high friction
• Time asymptotic high order schemes for dissipative BGK hyperbolic systems
• Localization effects and measure source terms in numerical schemes for balance laws
• A steady-state capturing method for hyperbolic systems with geometrical source terms
• A Micro-Macro Decomposition-Based Asymptotic-Preserving Scheme for the Multispecies Boltzmann Equation
• Space Localization and Well-Balanced Schemes for Discrete Kinetic Models in Diffusive Regimes
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
• The relaxation schemes for systems of conservation laws in arbitrary space dimensions
• A Well-Balanced Scheme for the Numerical Processing of Source Terms in Hyperbolic Equations
• Computing Qualitatively Correct Approximations of Balance Laws
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy

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