Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method

Sergey V. Rogazinsky · Russian Journal of Numerical Analysis and Mathematical Modelling · 2017

Abstract A statistical modelling algorithm is constructed for solution of the nonlinear kinetic Boltzmann equation based on the projection method. Hermite polynomials are used as an orthonormalized basis. The algorithm was tested on calculations for the problem of one-dimensional relaxation of gas with a known solution.

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