Convergence of a Semi-Lagrangian Scheme for the Ellipsoidal BGK Model of the Boltzmann Equation
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Publication:4562244
DOI10.1137/17M1163360zbMath1458.35297arXiv1712.07617OpenAlexW2963748779WikidataQ128722425 ScholiaQ128722425MaRDI QIDQ4562244
Publication date: 19 December 2018
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.07617
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) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20) Numerical analysis (educational aspects) (97N40)
Related Items (16)
Conservative semi-Lagrangian schemes for kinetic equations part. II: Applications ⋮ A local velocity grid conservative semi-Lagrangian schemes for BGK model ⋮ Cauchy problem for the ES-BGK model with the correct Prandtl number ⋮ Entropy production estimate for the ES-BGK model with the correct Prandtl number ⋮ Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules ⋮ An iteration-free semi-Lagrangian meshless method for Burgers' equations ⋮ BGK Model for Two-Component Gases Near a Global Maxwellian ⋮ A high-order semi-Lagrangian finite difference method for nonlinear Vlasov and BGK models ⋮ Optimal exponential decay for the linearized ellipsoidal BGK model in weighted Sobolev spaces ⋮ Strong solutions to the inhomogeneous Navier-Stokes-BGK system ⋮ BGK model of the multi-species Uehling-Uhlenbeck equation ⋮ On the order reduction of semi-Lagrangian methods for BGK model of Boltzmann equation ⋮ High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation ⋮ BGK models for inert mixtures: comparison and applications ⋮ Mini-workshop: Innovative trends in the numerical analysis and simulation of kinetic equations. Abstracts from the mini-workshop held December 16--22, 2018 ⋮ The Shakhov model near a global Maxwellian
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