S. V. Bogomolov, “On Fokker–Planck model for Boltzmann collision integral at moderate Knudsen numbers”, Mat. Model., 21:1 (2009), 111–117; Math. Models Comput. Simul., 1:6 (2009), 739

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Matematicheskoe modelirovanie, 2009, Volume 21, Number 1, Pages 111–117 (Mi mm2729)

This article is cited in 14 scientific papers (total in 14 papers)

On Fokker–Planck model for Boltzmann collision integral at moderate Knudsen numbers

S. V. Bogomolov

M. V. Lomonosov Moscow State University

Full-text PDF (128 kB) Citations (14)

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Abstract: Explicit approximate coefficients in the Fokker–Planck equation in the phase space for modeling a gas of rigid spheres at transient (from kinetic to macroscopic description) Knudsen numbers are obtained.

Received: 22.10.2007

English version:
Mathematical Models and Computer Simulations, 2009, Volume 1, Issue 6, Pages 739–744
DOI: https://doi.org/10.1134/S2070048209060088

Bibliographic databases:

Language: Russian

Citation: S. V. Bogomolov, “On Fokker–Planck model for Boltzmann collision integral at moderate Knudsen numbers”, Mat. Model., 21:1 (2009), 111–117; Math. Models Comput. Simul., 1:6 (2009), 739–744

Citation in format AMSBIB

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\jour Math. Models Comput. Simul.

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\pages 739--744

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Linking options:

https://www.mathnet.ru/eng/mm2729

https://www.mathnet.ru/eng/mm/v21/i1/p111

This publication is cited in the following 14 articles:

M. Pfeiffer, F. Garmirian, T. Ott, “Crank–Nicolson Bhatnagar–Gross–Krook integrator for multiscale particle-based kinetic simulations”, Physics of Fluids, 37:2 (2025)
Joonbeom Kim, Sanghun Kim, Eunji Jun, “A spatial interpolation for a stochastic particle Fokker–Planck model using a polynomial reconstruction”, Physics of Fluids, 36:12 (2024)
Amirmehran Mahdavi, Ehsan Roohi, “A study on micro-step flow using a hybrid direct simulation Monte Carlo–Fokker–Planck approach”, Physics of Fluids, 34:6 (2022)
M. Pfeiffer, F. Garmirian, M. H. Gorji, “Exponential Bhatnagar-Gross-Krook integrator for multiscale particle-based kinetic simulations”, Phys. Rev. E, 106:2 (2022)
S. V. Bogomolov, T. V. Zakharova, “Boltzmann equation without molecular chaos hypothesis”, Math. Models Comput. Simul., 13:5 (2021), 743–755
Gorji M.H., Torrilhon M., “Entropic Fokker-Planck Kinetic Model”, J. Comput. Phys., 430 (2021), 110034
Mahdavi A., Roohi E., “A Novel Hybrid Dsmc-Fokker Planck Algorithm Implemented to Rarefied Gas Flows”, Vacuum, 181 (2020), 109736
RezapourJaghargh V., Mahdavi A., Roohi E., “Shear-Driven Micro/Nano Flows Simulation Using Fokker Planck Approach: Investigating Accuracy and Efficiency”, Vacuum, 172 (2020), UNSP 109065
S. V. Bogomolov, N. B. Esikova, “Stochastic magnetic hydrodynamic hierarchy in a strong external magnetic field”, Math. Models Comput. Simul., 12:2 (2020), 257–270
Jiang Ya., Gao Zh., Lee Ch.-H., “Particle Simulation of Nonequilibrium Gas Flows Based on Ellipsoidal Statistical Fokker-Planck Model”, Comput. Fluids, 170 (2018), 106–120
Gorji M.H. Jenny P., “Fokker-Planck-Dsmc Algorithm For Simulations of Rarefied Gas Flows”, J. Comput. Phys., 287 (2015), 110–129
S. V. Bogomolov, I. G. Gudich, “On a diffusion gas model in phase space at moderate Knudsen numbers”, Math. Models Comput. Simul., 5:2 (2013), 130–144
S. V. Bogomolov, L. W. Dorodnitsyn, “Stochastic quasi gas dynamics equations. Viscous gas case”, Math. Models Comput. Simul., 3:4 (2011), 457–467
S. V. Bogomolov, “Quasi gas dynamics equations”, Math. Models Comput. Simul., 2:4 (2010), 423–428

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Abstract page:	566
Full-text PDF :	206
References:	61
First page:	23

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