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Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 10, Pages 1618–1629 (Mi zvmmf10099)  

This article is cited in 11 scientific papers (total in 11 papers)

Numerical algorithm for moving-boundary fluid dynamics problems and its testing

A. V. Minakovab

a Kutateladze Institute of Thermal Physics, Siberian Branch, Russian Academy of Sciences, pr. Akademika LavrentТeva 1, Novosibirsk, 630090, Russia
b Siberian Federal University, Svobodnyi pr. 79/10, Krasnoyarsk, 660041, Russia

Abstract: A new Eulerian algorithm is proposed for computing incompressible flows with moving boundaries of arbitrary geometry. The algorithm can be regarded as an extension of HirtТs classical volume-of-fluid method. The results of its implementation and testing are presented. A comparison of the numerical results with experimental data and computations of other authors reveals good agreement.

Key words: moving boundary problems in fluid dynamics, VOF method, SIMPLE algorithm, control volume method.

DOI: https://doi.org/10.7868/S0044466914100111

Full text: PDF file (901 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:10, 1560–1570

Bibliographic databases:

UDC: 519.634
Received: 10.02.2014
Revised: 10.04.2014

Citation: A. V. Minakov, “Numerical algorithm for moving-boundary fluid dynamics problems and its testing”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014), 1618–1629; Comput. Math. Math. Phys., 54:10 (2014), 1560–1570

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. S. A. Filimonov, A. A. Dekterev, A. V. Sentyabov, A. V. Minakov, “Simulation of conjugate heat transfer in the microchannel system by means of the hybrid method”, J. Appl. Industr. Math., 9:4 (2015), 469–479  mathnet  crossref  crossref  mathscinet  elib
    2. A. V. Minakov, M. V. Pervukhin, D. V. Platonov, M. Yu. Khatsayuk, “Mathematical model and numerical simulation of aluminum casting and solidification in magnetic fields with allowance for free surface dynamics”, Comput. Math. Math. Phys., 55:12 (2015), 2066–2079  mathnet  crossref  crossref  mathscinet  isi  elib
    3. A. S. Orlov, A. V. Minakov, A. V. Proshkin, “Mathematical modeling of electrolyte filtration through the porous cathode blocks during aluminum electrolysis with regard interblock seams”, Heat and mass transfer in the thermal control system of technical and technological energy equipment, Matec Web of Conferences, 23, eds. G. Kuznetsov, P. Strizhak, E. Bulba, A. Zhdanova, EDP Sciences, 2015, 01032  crossref  isi  scopus
    4. A. A. Shebeleva, A. V. Minakov, A. A. Yagodnitsina, V. G. Andyuseva, “Numerical simulation of two-component flow fluid - fluid in the microchannel t-type”, Heat and mass transfer in the thermal control system of technical and technological energy equipment, Matec Web of Conferences, 23, eds. G. Kuznetsov, P. Strizhak, E. Bulba, A. Zhdanova, EDP Sciences, 2015, 01043  crossref  isi  scopus
    5. A. Minakov, M. Khatsayuk, V. Demidovich, M. Pervukhin, “Mathematical modeling of casting processes in electromagnetic field”, Magnetohydrodynamics, 51:1 (2015), 57–65  mathscinet  isi  elib
    6. S. A. Filimonov, P. A. Neob'yavlyayuschii, E. I. Mikhienkova, “Primenenie gibridnogo algoritma modelirovaniya dlya issledovaniya sistemy udaleniya vrednykh gazov alyuminievogo proizvodstva”, Vestn. Tomsk. gos. un-ta. Matem. i mekh., 2016, no. 6(44), 64–79  mathnet  crossref  elib
    7. A. Shebeleva, M. Chernetskiy, “Numerical study of deformation drops of water in gas stream”, Heat and Mass Transfer in the System of Thermal Modes of Energy – Technical and Technological Equipment (Hmttsc-2016), Matec Web of Conferences, 72, ed. G. Kuznetsov, P. Strizhak, E. Bulba, A. Zhdanova, EDP Sciences, 2016, UNSP 01101  crossref  isi  scopus
    8. A. V. Minakov, A. A. Shebeleva, A. A. Yagodnitsyna, A. V. Kovalev, A. V. Bilsky, “Numerical and experimental study of the slug-flow regime in a mixture of castor and paraffin oils in a T-type microchannel”, Tech. Phys. Lett., 43:9 (2017), 857–859  crossref  isi  scopus
    9. A. A. Shebeleva, A. V. Minakov, M. Yu. Chernetskii, P. A. Strizhak, “Deformation of a droplet of an organic watercoal fuel in a gas flow”, J. Appl. Mech. Tech. Phys., 59:4 (2018), 653–661  crossref  isi  scopus
    10. Minakov A.V., Shebeleva A.A., Yagodnitsyna A.A., Kovalev A.V., Bilsky A.V., “Flow Regimes of Viscous Immiscible Liquids in T-Type Microchannels”, Chem. Eng. Technol., 42:5 (2019), 1037–1044  crossref  isi  scopus
    11. Shakhrai S.G. Dekterev A.A. Skuratov A.P. Minakov V A. Bazhin V.Yu., “Increase in Electrolyzer Energy Efficiency With a Self-Baking Anode”, Metallurgist, 62:9-10 (2019), 950–955  crossref  isi
  • ∆урнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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