Discretization of the Boltzmann equation in velocity space using a Galerkin approach

Title:: Discretization of the Boltzmann equation in velocity space using a Galerkin approach
Author(s):: Toelke, J.; Krafczyk, M.; Schulz, M.; Rank, E.
Abstract:: A method for the discretization of the Boltzmann equation in velocity space via a Galerkin procedure with Hermite polynomials as trial and test functions is proposed. This procedure results in a set of partial differential equations, which is an alternative to the lattice-Boltzmann equations. These PDEs are discretized using an explicit finite difference scheme and a numerical example shows the validity of the approach.
Keywords:: Lattice-Boltzmann; Kinetic theory
Book / Congress title:: Computer Physics Communications
Year:: 2000
Pages:: 91-99
Bookseries volume:: 129
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