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Matem. Mod., 2018, Volume 30, Number 9, Pages 3–20 (Mi mm3998)  

This article is cited in 3 scientific papers (total in 3 papers)

Direct numerical simulation of moderately rarefied gas flow within core samples

V. A. Balashov

Keldysh Institute of Applied Mathematics RAS

Abstract: The paper is devoted to numerical simulation of isothermal moderately rarefied gas flows within three-dimensional spaces with complex voxel geometry corresponding to core (rock) samples pore space. Classical Maxwell slip boundary conditions are used to take into account slippage effect on the solid boundaries. Simulation results for several core samples under different averaged pressure are presented. The qualitatively right Klinkenberg slippage coefficient dependence on absolute permeability coefficient was obtained.

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

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


Full text: PDF file (505 kB)
References: PDF file   HTML file
Received: 07.12.2017
Revised: 01.03.2018

Citation: V. A. Balashov, “Direct numerical simulation of moderately rarefied gas flow within core samples”, Matem. Mod., 30:9 (2018), 3–20

Citation in format AMSBIB
\Bibitem{Bal18}
\by V.~A.~Balashov
\paper Direct numerical simulation of moderately rarefied gas flow within core samples
\jour Matem. Mod.
\yr 2018
\vol 30
\issue 9
\pages 3--20
\mathnet{http://mi.mathnet.ru/mm3998}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. A. Balashov, E. B. Savenkov, B. N. Chetverushkin, “Vychislitelnye tekhnologii programmnogo kompleksa DiMP-Hydro dlya modelirovaniya mikrotechenii”, Matem. modelirovanie, 31:7 (2019), 21–44  mathnet  crossref  elib
    2. E. N. Golovchenko, M. V. Yakobovskii, V. A. Balashov, E. B. Savenkov, “Sravnenie algoritmov dekompozitsii oblasti v zadache pryamogo modelirovaniya techeniya zhidkosti v porovom prostranstve obraztsov gornykh porod”, Matem. modelirovanie, 32:4 (2020), 107–115  mathnet  crossref
    3. I. S. Nesterova, K. M. Gerke, “Raschet techeniya gaza v nanokapillyare s uchetom knudsenovskoi diffuzii i proskalzyvaniya”, Matem. modelirovanie, 33:3 (2021), 85–97  mathnet  crossref
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