Angular moments models for rarefied gas dynamics. Numerical comparisons with kinetic and Navier-Stokes equations

DOI10.3934/krm.2020025zbMath1459.76132OpenAlexW3023158844MaRDI QIDQ2197884

Sébastien Guisset

Publication date: 1 September 2020

Published in: Kinetic and Related Models (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/krm.2020025

zbMATH Keywords

compressible Navier-Stokes equationsHLL schemecollisional regimeminimum entropy closure

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Compressible Navier-Stokes equations (76N06)

Uses Software

• HLLE
• HERACLES

Cites Work

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• Affordable robust moment closures for CFD based on the maximum-entropy hierarchy
• Local discrete velocity grids for deterministic rarefied flow simulations
• Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
• General moment system for plasma physics based on minimum entropy principle
• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• Maximum entropy moment systems and Galilean invariance
• Moment closure hierarchies for kinetic theories.
• Classical transport theory for the collisional electronic \(M_1\) model
• Multigroup half space moment approximations to the radiative heat transfer equations
• An HLLC scheme to solve the \(M_{1}\) model of radiative transfer in two space dimensions
• Towards realizable hyperbolic moment closures for viscous heat-conducting gas flows based on a maximum-entropy distribution
• DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
• Modeling Nonequilibrium Gas Flow Based on Moment Equations
• High-Order Entropy-Based Closures for Linear Transport in Slab Geometry II: A Computational Study of the Optimization Problem
• Limits of theM₁andM₂angular moments models for kinetic plasma physics studies
• On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws
• The $M_1$ Angular Moments Model in a Velocity-Adaptive Frame for Rarefied Gas Dynamics Applications
• A FACTORED OPERATOR METHOD FOR SOLVING COUPLED RADIATION-HYDRODYNAMICS MODELS
• Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif
• A Hierarchy of Hybrid Numerical Methods for Multiscale Kinetic Equations
• Entropic approximation in kinetic theory
• Asymptotic-Preserving Scheme for the M₁-Maxwell System in the Quasi-Neutral Regime
• On the kinetic theory of rarefied gases