An Entropic Fourier Method for the Boltzmann Equation

DOI10.1137/17M1127041zbMath1406.65093arXiv1704.07369MaRDI QIDQ4683931

Zhenning Cai, Lexing Ying, Yu-Wei Fan

Publication date: 26 September 2018

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07369

zbMATH Keywords

positivityBoltzmann equationH-theoremFourier methoddiscrete velocity methodmodified Jackson filter

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Numerical methods for discrete and fast Fourier transforms (65T50) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Boltzmann equations (35Q20)

Related Items (11)

Moment Preserving Fourier–Galerkin Spectral Methods and Application to the Boltzmann Equation ⋮ A positive and stable L2-minimization based moment method for the Boltzmann equation of gas dynamics ⋮ Burnett spectral method for the spatially homogeneous Boltzmann equation ⋮ An entropy stable scheme for the non-linear Boltzmann equation ⋮ An Entropic Method for Discrete Systems with Gibbs Entropy ⋮ A Positive and Moment-Preserving Fourier Spectral Method ⋮ Approximation of the Boltzmann collision operator based on Hermite spectral method ⋮ Spectral computation of low probability tails for the homogeneous Boltzmann equation ⋮ On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation ⋮ A Second-Order Asymptotic-Preserving and Positivity-Preserving Exponential Runge--Kutta Method for a Class of Stiff Kinetic Equations ⋮ A New Stability and Convergence Proof of the Fourier--Galerkin Spectral Method for the Spatially Homogeneous Boltzmann Equation

Cites Work

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