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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 10, Pages 1734–1747
DOI: https://doi.org/10.7868/S0044466917100027 (Mi zvmmf10630) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Numerical simulation of convective motion in an anisotropic porous medium and cosymmetry conservation

M. A. Abdelhafezab, V. G. Tsybulina

a Southern Federal University, Rostov-on-Don, Russia
b Sohag University, Sohag, Arab Republic of Egypt
Full-text PDF (329 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466917100027
Abstract: The onset of convection in a porous anisotropic rectangle occupied by a heat-conducting fluid heated from below is analyzed on the basis of the Darcy–Boussinesq model. It is shown that there are combinations of control parameters for which the system has a nontrivial cosymmetry and a one-parameter family of stationary convective regimes branches off from the mechanical equilibrium. For the two-dimensional convection equations in a porous medium, finite-difference approximations preserving the cosymmetry of the original system are developed. Numerical results are presented that demonstrate the formation of a family of convective regimes and its disappearance when the approximations do not inherit the cosymmetry property.
Key words: convection, porous medium, anisotropy, cosymmetry, finite-difference method, staggered grids.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00470_а
Received: 18.07.2016
Revised: 08.11.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 10, Pages 1706–1719
DOI: https://doi.org/10.1134/S0965542517100025
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: M. A. Abdelhafez, V. G. Tsybulin, “Numerical simulation of convective motion in an anisotropic porous medium and cosymmetry conservation”, Zh. Vychisl. Mat. Mat. Fiz., 57:10 (2017), 1734–1747; Comput. Math. Math. Phys., 57:10 (2017), 1706–1719
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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