Tensor-Product Discretization for the Spatially Inhomogeneous and Transient Boltzmann Equation in Two Dimensions

DOI10.5802/smai-jcm.26zbMath1416.82038OpenAlexW2769148861MaRDI QIDQ4967357

Simon Pintarelli, Philipp Grohs, Ralf Hiptmair

Publication date: 3 July 2019

Published in: The SMAI journal of computational mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/smai-jcm.26

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) 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) Kinetic theory of gases in time-dependent statistical mechanics (82C40)

Related Items

Projective integration schemes for hyperbolic moment equations, A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions, A Polynomial Spectral Method for the Spatially Homogeneous Boltzmann Equation, 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, Fully conservative spectral Galerkin-Petrov method for the inhomogeneous Boltzmann equation, Fast evaluation of the Boltzmann collision operator using data driven reduced order models

Uses Software

• deal.ii
• Trilinos
• FISH

Cites Work

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• Calculation of Gauss Quadrature Rules
• FISH