Kinetic Over-Relaxation Method for the Convection Equation with Fourier Solver

DOI10.1007/978-3-030-43651-3_71zbMath1454.65105OpenAlexW2998845007MaRDI QIDQ5117505

Emmanuel Franck, Romane Hélie, Laurent Navoret, Philippe Helluy

Publication date: 25 August 2020

Published in: Finite Volumes for Complex Applications IX - Methods, Theoretical Aspects, Examples (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-43651-3_71

zbMATH Keywords

relaxationcompositionFourierkineticguiding center model

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) 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) Numerical methods for discrete and fast Fourier transforms (65T50) Statistical mechanics of plasmas (82D10) Nuclear reactor theory; neutron transport (82D75) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (1)

Composition Schemes for the Guiding-Center Model

Cites Work

• The semi-Lagrangian method for the numerical resolution of the Vlasov equation
• Conservative semi-Lagrangian schemes for Vlasov equations
• High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation
• A two-level implicit scheme for the numerical solution of the linearized vorticity equation

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