Hybrid Kinetic/Fluid Numerical Method for the Vlasov-Poisson-BGK Equation in the Diffusive Scaling

DOI10.1007/978-3-031-40860-1_24arXiv2303.07168OpenAlexW4387586182MaRDI QIDQ6151398

Tino Laidin, Thomas Rey

Publication date: 12 February 2024

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.07168

zbMATH Keywords

asymptotic preserving schememicro-macro decompositiondiffusion scalinghybrid solverVlasov-Poisson-BGK equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Finite difference methods for boundary value problems involving PDEs (65N06) Motion of charged particles (78A35) Vlasov equations (35Q83)

Cites Work

• An asymptotic preserving scheme based on a micro-macro decomposition for collisional Vlasov equations: diffusion and high-field scaling limits
• Relaxed micro-macro schemes for kinetic equations
• Uniformly stable numerical schemes for the Boltzmann equation preserving the compressible Navier-Stokes asymptotics
• APPROXIMATION BY HOMOGENIZATION AND DIFFUSION OF KINETIC EQUATIONS
• A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations

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