Abstract:
Haline–convective flows in a porous medium are simulated using a two-dimensional computational code based on the finite difference method. The fluid dynamics model includes continuity equation, the Darcy equation, and the admixture transport equation. The model describes seepage flows of a two-component fluid consisting of an incompressible fluid and a dissolved admixture that propagates due to convection and diffusion. A numerical solution of the problem on the Rayleigh–Taylor instability in a system of mixing fluids with different viscosity is obtained. Systems with the ratio of the viscosity coefficients of layers from 1 to 30 are considered. The influence of viscosity on the structure and intensity of flow and on the mixing characteristics is investigated.
\Bibitem{Sob22}
\by E.~B.~Soboleva
\paper Numerical simulation of haline–convective flows with viscosity contrast in a porous medium
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 11
\pages 1927--1939
\mathnet{http://mi.mathnet.ru/zvmmf11477}
\crossref{https://doi.org/10.31857/S0044466922110126}
\elib{https://elibrary.ru/item.asp?id=49455085}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 11
\pages 1942--1954
\crossref{https://doi.org/10.1134/S0965542522110100}
Linking options:
https://www.mathnet.ru/eng/zvmmf11477
https://www.mathnet.ru/eng/zvmmf/v62/i11/p1927
This publication is cited in the following 2 articles:
Marco De Paoli, “Convective mixing in porous media: a review of Darcy, pore-scale and Hele-Shaw studies”, Eur. Phys. J. E, 46:12 (2023)
Elena Soboleva, “Instability Problems and Density-Driven Convection in Saturated Porous Media Linking to Hydrogeology: A Review”, Fluids, 8:2 (2023), 36
Citation in format AMSBIB
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