A Polynomial Spectral Method for the Spatially Homogeneous Boltzmann Equation

DOI10.1137/17M1160240zbMath1421.35238arXiv1902.05789MaRDI QIDQ4613502

Joachim Schöberl, Gerhard Kitzler

Publication date: 1 February 2019

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

Full work available at URL: https://arxiv.org/abs/1902.05789

zbMATH Keywords

Boltzmann equationPetrov-Galerkin methodspectral method

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Kinetic theory of gases in time-dependent statistical mechanics (82C40) Boltzmann equations (35Q20)

Related Items (9)

Moment method as a numerical solver: challenge from shock structure problems ⋮ Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains ⋮ Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators ⋮ A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions ⋮ A Petrov-Galerkin spectral method for the inelastic Boltzmann equation using mapped Chebyshev functions ⋮ Burnett Spectral Method for High-Speed Rarefied Gas Flows ⋮ Approximation of the Boltzmann collision operator based on Hermite spectral method ⋮ Tensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two Dimensions ⋮ The convergence and stability analysis of a numerical method for solving a mathematical model of language competition

Uses Software

• LAPACK

Cites Work

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