S. V. Bogomolov, L. W. Dorodnitsyn, “Stochastic quasi gas dynamics equations. Viscous gas case”, Mat. Model., 22:12 (2010), 49–64; Math. Models Comput. Simul., 3:4 (2011), 457

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Matematicheskoe modelirovanie, 2010, Volume 22, Number 12, Pages 49–64 (Mi mm3052)

This article is cited in 16 scientific papers (total in 16 papers)

Stochastic quasi gas dynamics equations. Viscous gas case

S. V. Bogomolov, L. W. Dorodnitsyn

Lomonosov Moscow State University

Full-text PDF (250 kB) Citations (16)

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Abstract: Some results of test calculations for one of a hierarchical set of gas dynamic models, obtained (a scheme in brief is available) from a system of stochastic differential equations, describing gas at moderate and small Knudsen numbers, are presented.

Keywords: Boltzmann equation, gas dynamic equations, jump and diffusion random processes, stochastic differential equations.

Received: 26.10.2009

English version:
Mathematical Models and Computer Simulations, 2011, Volume 3, Issue 4, Pages 457–467
DOI: https://doi.org/10.1134/S207004821104003X

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: S. V. Bogomolov, L. W. Dorodnitsyn, “Stochastic quasi gas dynamics equations. Viscous gas case”, Mat. Model., 22:12 (2010), 49–64; Math. Models Comput. Simul., 3:4 (2011), 457–467

Citation in format AMSBIB

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\pages 49--64

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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2810217}

\transl

\jour Math. Models Comput. Simul.

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Linking options:

https://www.mathnet.ru/eng/mm3052

https://www.mathnet.ru/eng/mm/v22/i12/p49

This publication is cited in the following 16 articles:

S. V. Bogomolov, T. V. Zakharova, “Boltzmann equation without molecular chaos hypothesis”, Math. Models Comput. Simul., 13:5 (2021), 743–755
V. G. Zadorozhniy, V. S. Nozhkin, M. Y. Semenov, I. I. Ul'shin, “Stochastic model of heat transfer in the atmospheric surface layer”, Comput. Math. Math. Phys., 60:3 (2020), 459–471
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
S. V. Bogomolov, N. B. Esikova, A. E. Kuvshinnikov, P. N. Smirnov, Lecture Notes in Computer Science, 11386, Finite Difference Methods. Theory and Applications, 2019, 167
V S Nozhkin, M E Semenov, I I Ulshin, “A stochastic approach to the solution to the differential equation of heat transfer in the atmosphere”, J. Phys.: Conf. Ser., 1368:4 (2019), 042012
S. V. Bogomolov, N. B. Esikova, A. E. Kuvshinnikov, “Micro-macro Fokker–Planck–Kolmogorov models for a gas of rigid spheres”, Math. Models Comput. Simul., 8:5 (2016), 533–547
S. V. Bogomolov, I. G. Gudich, “Towards a stochastic diffusion gas model verification”, Math. Models Comput. Simul., 6:3 (2014), 305–316
Howard Brenner, “Steady-state heat conduction in a gas undergoing rigid-body rotation. Comparison of Navier–Stokes–Fourier and bivelocity paradigms”, International Journal of Engineering Science, 70 (2013), 29
Howard Brenner, “Proposal of a critical test of the Navier-Stokes-Fourier paradigm for compressible fluid continua”, Phys. Rev. E, 87:1 (2013)
M. Hossein Gorji, Patrick Jenny, “A Fokker–Planck based kinetic model for diatomic rarefied gas flows”, Physics of Fluids, 25:6 (2013)
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. Kokou Dadzie, “Second law of thermodynamics in volume diffusion hydrodynamics in multicomponent gas mixtures”, Physics Letters A, 376:45 (2012), 3223
S. Kokou Dadzie, Jason M. Reese, “Analysis of the thermomechanical inconsistency of some extended hydrodynamic models at high Knudsen number”, Phys. Rev. E, 85:4 (2012)
S. Kokou Dadzie, “Comment on “A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion, Jenny et al., Journal of Computational Physics, 229 (2010)””, Journal of Computational Physics, 231:21 (2012), 7011
S. Kokou Dadzie, Jason M. Reese, “Spatial stochasticity and non-continuum effects in gas flows”, Physics Letters A, 376:8-9 (2012), 967
S. Kokou Dadzie, Howard Brenner, “Predicting enhanced mass flow rates in gas microchannels using nonkinetic models”, Phys. Rev. E, 86:3 (2012)

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

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Full-text PDF :	282
References:	105
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