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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 3, Pages 557–562 (Mi zvmmf4851)  
This article is cited in 3 scientific papers (total in 3 papers)

Regularization of a discrete scheme for a three-dimensional problem of the evolution of the interface of different fluids

D. N. Nikol'skiĭ

Orel State University, Komsomol'skaya ul. 95, Orel, 302015 Russia
Full-text PDF (250 kB) Citations (3)
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Abstract: A regularized discrete scheme is developed that describes the three-dimensional evolution of the interface between fluids with different viscosities and densities in the Leibenzon–Muskat model. The regularization is achieved by smoothing the kernel of the singular integral involved in the differential equation governing the moving interface. The discrete scheme is tested by solving the problem of a drop of one fluid evolving in a translational flow of another.
Key words: three-dimensional evolution of a fluid-fluid interface, regularization of a discrete scheme, smoothing of the kernel of a singular integral.
Received: 15.09.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 3, Pages 531–536
DOI: https://doi.org/10.1134/S0965542510030140
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: D. N. Nikol'skiǐ, “Regularization of a discrete scheme for a three-dimensional problem of the evolution of the interface of different fluids”, Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010), 557–562; Comput. Math. Math. Phys., 50:3 (2010), 531–536
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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