Galerkin-Petrov approach for the Boltzmann equation
| Autor: | Sergej Rjasanow, Irene M. Gamba |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Numerical Analysis
Physics and Astronomy (miscellaneous) Applied Mathematics Lattice Boltzmann methods Spherical harmonics 010103 numerical & computational mathematics Numerical Analysis (math.NA) 01 natural sciences Boltzmann equation Bhatnagar–Gross–Krook operator Boltzmann distribution Computer Science Applications 010101 applied mathematics Computational Mathematics Modeling and Simulation Laguerre polynomials FOS: Mathematics Applied mathematics Mathematics - Numerical Analysis 0101 mathematics Boltzmann's entropy formula Convection–diffusion equation Mathematics |
| DOI: | 10.48550/arxiv.1710.05903 |
| Popis: | In this work, we propose a new Galerkin-Petrov method for the numerical solution of the classical spatially homogeneous Boltzmann equation. This method is based on an approximation of the distribution function by associated Laguerre polynomials and spherical harmonics and test an a variational manner with globally defined three-dimensional polynomials. A numerical realization of the algorithm is presented. The algorithmic developments are illustrated with the help of several numerical tests. Comment: 44 pages, 13 figures |
| Databáze: | OpenAIRE |
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