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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 226–237
DOI: https://doi.org/10.15372/PMTF20190219 (Mi pmtf473) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with free surface

V. N. Belykh

Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
Full-text PDF (282 kB) Citations (2)
DOI: https://doi.org/10.15372/PMTF20190219
Abstract: A fundamentally new unsaturated technique for the numerical solution of the Dirichlet–Neumann problem for the Laplace equation was designed. This technique makes it possible, due to the smoothness of the sought solution of the problem, to take into account the axisymmetric specificity of the problem, which prevents the use of any saturated numerical methods, i. e., methods with a leading error term.
Keywords: ideal fluid, free surface, axial symmetry, Dirichlet–Neumann problem, unsaturated numerical method, non-stationary problem.
Received: 27.09.2018
Revised: 27.09.2018
Accepted: 29.10.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 2, Pages 382–391
DOI: https://doi.org/10.1134/S0021894419020196
Bibliographic databases:
Document Type: Article
UDC: 532.5.013.2+519.642.4
Language: Russian
Citation: V. N. Belykh, “Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with free surface”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 226–237; J. Appl. Mech. Tech. Phys., 60:2 (2019), 382–391
Citation in format AMSBIB
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\by V.~N.~Belykh
\paper Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with free surface
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 2
\pages 226--237
\mathnet{http://mi.mathnet.ru/pmtf473}
\crossref{https://doi.org/10.15372/PMTF20190219}
\elib{https://elibrary.ru/item.asp?id=37248724}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 2
\pages 382--391
\crossref{https://doi.org/10.1134/S0021894419020196}
Linking options:
  • https://www.mathnet.ru/eng/pmtf473
  • https://www.mathnet.ru/eng/pmtf/v60/i2/p226
    • This publication is cited in the following 2 articles:
    1. V. N. Belykh, “Estimates of Alexandrov’s $n$-width of a compact set for some infinitely differentiable periodic functions”, Dokl. Math., 107:1 (2023), 4–8  mathnet  mathnet  crossref  crossref
    2. V. N. Belykh, “Unsaturated Algorithms for the Numerical Solution of Elliptic Boundary Value Problems in Smooth Axisymmetric Domains”, Sib. Adv. Math., 32:3 (2022), 157  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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