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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 2, Pages 318–331
DOI: https://doi.org/10.7868/S0044466916020150 (Mi zvmmf10347) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computation of forces acting on bodies in plane and axisymmetric cavitation flow problems

A. G. Petrova, I. I. Potapovb

a Institute for Problems in Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 119526, Russia
b Computing Center, Far East Branch, Russian Academy of Sciences, ul. Kim Yu Chena 65, Khabarovsk, 680063, Russia
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DOI: https://doi.org/10.7868/S0044466916020150
Abstract: Plane and axisymmetric cavitation flow problems are considered using Riabouchinsky's scheme. The incoming flow is assumed to be irrotational and steady, and the fluid is assumed to be inviscid and incompressible. The flow problems are solved by applying the boundary element method with quadrature formulas without saturation. The free boundary is determined using a gradient descent technique based on Riabouchinsky's principle. The drag force acting on the cavitator is expressed in terms of the Riabouchinsky functional. As a result, for small cavitation numbers, the force is calculated with a fairly high accuracy. Dependences of the drag coefficient are investigated for variously shaped cavitators: a wedge, a cone, a circular arc, and a spherical segment.
Key words: cavitation flow, Riabouchinsky's scheme, quadrature formulas, integral equations, variational principle, boundary element method.
Funding agency Grant number
Russian Science Foundation 14-19-01633
Received: 18.12.2014
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 2, Pages 320–333
DOI: https://doi.org/10.1134/S0965542516020147
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. G. Petrov, I. I. Potapov, “Computation of forces acting on bodies in plane and axisymmetric cavitation flow problems”, Zh. Vychisl. Mat. Mat. Fiz., 56:2 (2016), 318–331; Comput. Math. Math. Phys., 56:2 (2016), 320–333
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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