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Matem. Mod., 2018, Volume 30, Number 1, Pages 3–16 (Mi mm3925)  

This article is cited in 4 scientific papers (total in 4 papers)

Direct numerical simulation of moderately rarefied gas flow within two-dimensional artificial porous media

V. A. Balashov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences

Abstract: Numerical study of applicability of quasi-hydrodynamic equations for simulation of isothermal moderately rarefied gas flows in two-dimensional domains with complex geometry typical for pore space of core samples was done. Classical Maxwell slip boundary conditions are used to take into account slippage effect on the solid boundaries. Its approximation is suggested and implementation algorithm is described. Simulation results for several samples under different averaged pressure are presented. The qualitatively right Klinkenberg slippage coefficient dependence on ratio of absolute permeability coefficient to sample porosity was obtained.

Keywords: quasi-hydrodynamic equations, digital rock physics, moderately rarefied gas, slippage effect, slip boundary condition, Klinkenberg slippage coefficient.

Funding Agency Grant Number
Russian Foundation for Basic Research 16-31-00400_мол_а


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English version:
Mathematical Models and Computer Simulations, 2018, 10:4, 483–493

Received: 20.12.2016

Citation: V. A. Balashov, “Direct numerical simulation of moderately rarefied gas flow within two-dimensional artificial porous media”, Matem. Mod., 30:1 (2018), 3–16; Math. Models Comput. Simul., 10:4 (2018), 483–493

Citation in format AMSBIB
\Bibitem{Bal18}
\by V.~A.~Balashov
\paper Direct numerical simulation of moderately rarefied gas flow within two-dimensional artificial porous media
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 1
\pages 3--16
\mathnet{http://mi.mathnet.ru/mm3925}
\elib{https://elibrary.ru/item.asp?id=32289986}
\transl
\jour Math. Models Comput. Simul.
\yr 2018
\vol 10
\issue 4
\pages 483--493
\crossref{https://doi.org/10.1134/S2070048218040038}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85050123937}


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

    This publication is cited in the following articles:
    1. V. A. Balashov, V. E. Borisov, “Algoritm rascheta trekhmernykh techenii umerenno-razrezhennogo gaza v oblastyakh s vokselnoi geometriei”, Preprinty IPM im. M. V. Keldysha, 2017, 099, 24 pp.  mathnet  crossref
    2. V. A. Balashov, E. B. Savenkov, “O chislennom algoritme dlya rascheta dvumernykh dvukhfaznykh techenii s uchetom effekta smachivaniya na osnove kvazigidrodinamicheskoi regulyarizatsii”, Preprinty IPM im. M. V. Keldysha, 2018, 062, 36 pp.  mathnet  crossref  elib
    3. V. A. Balashov, “Pryamoe modelirovanie mikrotechenii umerenno-razrezhennogo gaza v obraztsakh gornykh porod”, Matem. modelirovanie, 30:9 (2018), 3–20  mathnet
    4. D. Ya. Sukhanov, A. E. Kuzovova, “Modelirovanie volnovykh protsessov metodom dinamiki chastits”, Matem. modelirovanie, 32:10 (2020), 119–134  mathnet  crossref
  • Математическое моделирование
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