Discretization of the Boltzmann equation in velocity space using a Galerkin approach
نویسندگان
چکیده
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. 2000 Elsevier Science B.V. All rights reserved.
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