Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
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Sergey V. Rogazinsky
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.
Funding source: Russian Foundation for Basic Research
Award Identifier / Grant number: 15-01-00894a
Funding statement: The work was supported by the Russian Foundation for Basic Research (projects 15-01-00894a, 15-01-08988a, 16-01-00530a) and by the fundamental research program of the Presidium of the RAS I.33II.
Acknowledgment
The author is grateful to Corr. member of the RAS, G. A. Mikhailov for useful advice and remarks and to doctor of physics and mathematics S. A. Ukhinov for remarks.
References
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries
- New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media
- Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
- Variational assimilation of mean daily observation data for the problem of sea hydrothermodynamics
- Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
- Numerical investigation of diagnostic properties of p53-dependent microRNAs
Artikel in diesem Heft
- Frontmatter
- The study and numerical solution of some inverse problems in simulation of hydrophysical fields in water areas with ‘liquid’ boundaries
- New Monte Carlo algorithms for investigation of criticality fluctuations in the particle scattering process with multiplication in stochastic media
- Asymptotic approximations for the stationary radiative-conductive heat transfer problem in the two-dimensional system of plates
- Variational assimilation of mean daily observation data for the problem of sea hydrothermodynamics
- Statistical modelling algorithm for solving the nonlinear Boltzmann equation based on the projection method
- Numerical investigation of diagnostic properties of p53-dependent microRNAs
