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

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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… Click to show full abstract

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.

Keywords: based projection; modelling algorithm; algorithm; statistical modelling; boltzmann equation; equation based

Journal Title: Russian Journal of Numerical Analysis and Mathematical Modelling
Year Published: 2017

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