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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2010 Volume 50, Number 7, Pages 1269–1275 (Mi zvmmf4907)

This article is cited in 4 papers

Evolution of the interface of various fluids in nonhomogeneous layers

D. N. Nikol'skiĭ

Orel State University, Komsomol'skaya ul. 95, Orel, 302026 Russia

Abstract: The basic system of integral and differential equations is obtained that describes the evolution of a liquid-liquid interface in inhomogeneous ground layers such that the square root of their conductivity is described by a metaharmonic function. A discrete scheme for the basic system of equations is constructed using the method of discrete vortex pairs.

Key words: two-dimensional model of liquid-liquid interface evolution, double-layer quasi-potential, method of discrete singularities, finite-difference solution method.

UDC: 519.634

Received: 12.01.2010


 English version:
Computational Mathematics and Mathematical Physics, 2010, 50:7, 1205–1211

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© Steklov Math. Inst. of RAS, 2024