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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1402–1412
(Mi zvmmf268)
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This article is cited in 5 scientific papers (total in 5 papers)
Mathematical modeling of the three-dimensional evolution of the interface between fluids of different viscosities and densities in an inhomogeneous ground
D. N. Nikol'skii Orel State University, Komsomol'skaya ul. 95, Orel, 302015, Russia
Abstract:
The three-dimensional evolution of the interface between fluids of different viscosities and densities in the case of a piston displacement is considered. The problem is reduced to a system of integral and differential equations, which are solved numerically by the method of discrete singularities. The practical convergence of the numerical scheme is analyzed, and the numerical results are compared with an analytical solution.
Key words:
interface problems for different fluids, fluid flow through an inhomogeneous ground, evolution of the interface, numerical method of discrete singularities, convergence analysis.
Received: 12.01.2007
Citation:
D. N. Nikol'skii, “Mathematical modeling of the three-dimensional evolution of the interface between fluids of different viscosities and densities in an inhomogeneous ground”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1402–1412; Comput. Math. Math. Phys., 47:8 (2007), 1347–1357
Linking options:
https://www.mathnet.ru/eng/zvmmf268 https://www.mathnet.ru/eng/zvmmf/v47/i8/p1402
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Statistics & downloads: |
Abstract page: | 296 | Full-text PDF : | 126 | References: | 34 | First page: | 4 |
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