Stability Analysis of Quadrature-Based Moment Methods for Kinetic Equations

DOI10.1137/18M1231845zbMath1432.35159arXiv1812.08320OpenAlexW3000282213WikidataQ126358397 ScholiaQ126358397MaRDI QIDQ5208245

Shuiqing Li, Qian Huang, Wen-An Yong

Publication date: 15 January 2020

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.08320

zbMATH Keywords

Boltzmann equationhyperbolicitystructural stability conditionquadrature-based moment methodsBGK and Shakhov models

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Kinetic theory of gases in time-dependent statistical mechanics (82C40) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Boltzmann equations (35Q20) Finite volume methods applied to problems in statistical mechanics (82M12)

Related Items (5)

Hyperbolic Quadrature Method of Moments for the One-Dimensional Kinetic Equation ⋮ Equilibrium stability analysis of hyperbolic shallow water moment equations ⋮ Discrete-velocity-direction models of BGK-type with minimum entropy. I: Basic idea ⋮ Navier-Stokes limit of globally hyperbolic moment equations ⋮ Quadrature-based moment methods for kinetic plasma simulations

Cites Work

• Affordable robust moment closures for CFD based on the maximum-entropy hierarchy
• Beyond pressureless gas dynamics: quadrature-based velocity moment models
• An introduction to the Boltzmann equation and transport processes in gases
• Conditional quadrature method of moments for kinetic equations
• A quadrature-based third-order moment method for dilute gas-particle flows
• Singular perturbations of first-order hyperbolic systems with stiff source terms
• Moment closure hierarchies for kinetic theories.
• Solution of population balance equations in applications with fine particles: mathematical modeling and numerical schemes
• New developments of the extended quadrature method of moments to solve population balance equations
• Globally hyperbolic regularization of Grad's moment system in one dimensional space
• Stability analysis of a class of globally hyperbolic moment system
• DISCRETE VELOCITY MODEL AND IMPLICIT SCHEME FOR THE BGK EQUATION OF RAREFIED GAS DYNAMICS
• A Framework on Moment Model Reduction for Kinetic Equation
• Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
• An interesting class of partial differential equations
• Regularization of Grad’s 13 moment equations: Derivation and linear analysis
• Multivariate Gaussian Extended Quadrature Method of Moments for Turbulent Disperse Multiphase Flow
• Hybrid Stochastic Kinetic Description of Two-Dimensional Traffic Dynamics
• Globally Hyperbolic Regularization of Grad's Moment System
• A Proof of Newton's Power Sum Formulas
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Stability Analysis of Quadrature-Based Moment Methods for Kinetic Equations