Direct Flux Gradient Approximation to Moment Closure of Kinetic Equations
From MaRDI portal
Publication:5155606
DOI10.1137/21M1396836zbMath1484.82042arXiv2102.07641OpenAlexW3204619447MaRDI QIDQ5155606
Ruo Li, Lingchao Zheng, Wei-Ming Li
Publication date: 7 October 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.07641
Transport processes in time-dependent statistical mechanics (82C70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)
Related Items (4)
Machine learning moment closure models for the radiative transfer equation. III: enforcing hyperbolicity and physical characteristic speeds ⋮ Machine Learning Moment Closure Models for the Radiative Transfer Equation II: Enforcing Global Hyperbolicity in Gradient-Based Closures ⋮ On well-posed boundary conditions for the linear non-homogeneous moment equations in half-space ⋮ A Nonlinear Moment Model for Radiative Transfer Equation
Cites Work
- Unnamed Item
- Unnamed Item
- Approximating the \(M_2\) method by the extended quadrature method of moments for radiative transfer in slab geometry
- Model reduction of kinetic equations by operator projection
- Affordable robust moment closures for CFD based on the maximum-entropy hierarchy
- Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
- Semi-implicit time integration for \(P_N\) thermal radiative transfer
- Moment closure hierarchies for kinetic theories.
- Semi-classical expansion of distribution function using modified Hermite polynomials for quantum gas
- A nonlinear moment model for radiative transfer equation in slab geometry
- 13-moment system with global hyperbolicity for quantum gas
- Globally hyperbolic regularization of Grad's moment system in one dimensional space
- On hyperbolicity of 13-moment system
- A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods
- A Framework on Moment Model Reduction for Kinetic Equation
- Numerical Regularized Moment Method of Arbitrary Order for Boltzmann-BGK Equation
- Linear Stability of Hyperbolic Moment Models for Boltzmann Equation
- Regularization of Grad’s 13 moment equations: Derivation and linear analysis
- Stable transport equations for rarefied gases at high orders in the Knudsen number
- Nine-moment phonon hydrodynamics based on the modified Grad-type approach: hyperbolicity of the one-dimensional flow
- Nine-moment phonon hydrodynamics based on the modified Grad-type approach: formulation
- Regularized 13-moment equations: shock structure calculations and comparison to Burnett models
- Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif
- A Nonlinear Hyperbolic Model for Radiative Transfer Equation in Slab Geometry
- Globally Hyperbolic Regularization of Grad's Moment System
- Coupled Forward-Adjoint Monte Carlo Simulations of Radiative Transport for the Study of Optical Probe Design in Heterogeneous Tissues
- Study of rarefied shear flow by the discrete velocity method
- On the kinetic theory of rarefied gases
This page was built for publication: Direct Flux Gradient Approximation to Moment Closure of Kinetic Equations