An Approximation for the Twenty-One-Moment Maximum-Entropy Model of Rarefied Gas Dynamics

DOI10.1080/10618562.2022.2047666zbMath1485.82009OpenAlexW4246644314MaRDI QIDQ5075249

Fabien Giroux, James G. McDonald

Publication date: 10 May 2022

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618562.2022.2047666

zbMATH Keywords

moment closureBoltzmann equationkinetic theorymaximum-entropyrarefied gas-dynamic

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Kinetic theory of gases in time-dependent statistical mechanics (82C40) First-order hyperbolic systems (35L40) Method of moments applied to problems in optics and electromagnetic theory (78M05) Boltzmann equations (35Q20)

Related Items (2)

Numerical simulation of rarefied supersonic flows using a fourth-order maximum-entropy moment method with interpolative closure ⋮ A gallery of maximum-entropy distributions: 14 and 21 moments

Cites Work

• Unnamed Item
• Unnamed Item
• Moment closure approximations of the Boltzmann equation based on \(\varphi \)-divergences
• Affordable robust moment closures for CFD based on the maximum-entropy hierarchy
• Maximum entropy moment systems and Galilean invariance
• Moment closure hierarchies for kinetic theories.
• Domain of definition of Levermore's five-moment system
• Towards physically realizable and hyperbolic moment closures for kinetic theory
• On discontinuous Galerkin approximations of Boltzmann moment systems with Levermore closure
• Globally hyperbolic regularization of Grad's moment system in one dimensional space
• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Maximisation of the entropy in non-equilibrium
• Numerical Study of Partially Conservative Moment Equations in Kinetic Theory
• Globally Hyperbolic Regularization of Grad's Moment System
• Computational framework for the regularized 20‐moment equations for non‐equilibrium gas flows
• 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
• Hermitian Transformations of Deficiency-Index (1,1), Jacobi Matrices and Undetermined Moment Problems
• Thermodynamics

This page was built for publication: An Approximation for the Twenty-One-Moment Maximum-Entropy Model of Rarefied Gas Dynamics