Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models

DOI10.1016/j.jcp.2015.04.031zbMath1349.76782OpenAlexW2026554882MaRDI QIDQ350097

Zhenning Cai, Manuel Torrilhon

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.04.031

zbMATH Keywords

series expansionhard sphereinverse power lawlinearized collision model

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Particle methods and lattice-gas methods (76M28) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Statistical mechanics of gases (82D05) Boltzmann equations (35Q20)

Related Items (15)

Projective integration schemes for hyperbolic moment equations ⋮ Moment method as a numerical solver: challenge from shock structure problems ⋮ Numerical Solver for the Boltzmann Equation with Self-Adaptive Collision Operators ⋮ Burnett spectral method for the spatially homogeneous Boltzmann equation ⋮ Hierarchical Boltzmann simulations and model error estimation ⋮ Representation theory based algorithm to compute Boltzmann's bilinear collision operator in the irreducible spectral Burnett ansatz efficiently ⋮ Construction of boundary conditions for Navier-Stokes equations from the moment system ⋮ Regularized 13-moment equations for inverse power law models ⋮ Linear Regularized 13-Moment Equations with Onsager Boundary Conditions for General Gas Molecules ⋮ Numerical simulation of microflows using moment methods with linearized collision operator ⋮ Burnett Spectral Method for High-Speed Rarefied Gas Flows ⋮ Galerkin-Petrov approach for the Boltzmann equation ⋮ Approximation of the Boltzmann collision operator based on Hermite spectral method ⋮ Numerical Simulation of Microflows Using Hermite Spectral Methods ⋮ Fast evaluation of the Boltzmann collision operator using data driven reduced order models

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