Numerical solution of hyperbolic moment models for the Boltzmann equation

DOI10.1016/j.euromechflu.2016.11.012zbMath1408.76454OpenAlexW2550825486MaRDI QIDQ1672155

Manuel Torrilhon, Julian Koellermeier

Publication date: 7 September 2018

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechflu.2016.11.012

zbMATH Keywords

Boltzmann equationhyperbolicitymoment methodnon-conservative numerics

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (9)

The solvability of mixed value problem for the first and second approximations of one-dimensional nonlinear system of moment equations with microscopic boundary conditions ⋮ Steady states and well-balanced schemes for shallow water moment equations with topography ⋮ On the efficient implementation of PVM methods and simple Riemann solvers. Application to the Roe method for large hyperbolic systems ⋮ Spatially adaptive projective integration schemes for stiff hyperbolic balance laws with spectral gaps ⋮ Hierarchical micro-macro acceleration for moment models of kinetic equations ⋮ Positivity-preserving Lax-Wendroff discontinuous Galerkin schemes for quadrature-based moment-closure approximations of kinetic models ⋮ A Combination of High-OrdCompact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation ⋮ Accelerating the convergence of the moment method for the Boltzmann equation using filters ⋮ A general vertical decomposition of Euler equations: multilayer-moment models

Cites Work

• Model reduction of kinetic equations by operator projection
• Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
• Globally hyperbolic regularization of Grad's moment system in one dimensional space
• A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods
• Globally Hyperbolic Regularization of Grad's Moment System
• On the kinetic theory of rarefied gases
• A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

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