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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 5, Pages 937–948 (Mi zvmmf4881)  
This article is cited in 20 scientific papers (total in 20 papers)

Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments

A. A. Aparinova, A. V. Setukhab

a Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moskow, 119333 Russia
b Department of Mathematics, Zhukovsky Air Force Engineering Academy, ul. Planetnaya 3, Moscow, 125190 Russia
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Abstract: The computations in a vortex method for three-dimensional fluid dynamics simulation are accelerated by applying mosaic-skeleton approximations of matrices in the velocity computations. A modified vortex segment method is proposed in which mosaic-skeleton matrix approximations are effectively used to solve the problem of a vorticity field developing in an unbounded three-dimensional domain and in separated flow problems. Examples of the numerical solution of model fluid dynamic problems, such as the motion of a pair of vortex rings, the flow past a hemisphere, and the flow past an octahedral cylinder, are given that illustrate the capability of accelerating the computations while preserving the qualitative and quantitative description of the flow.
Key words: incompressible fluid, vortex methods, fast matrix multiplication, mosaic-skeleton approximations.
Received: 29.07.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 5, Pages 890–899
DOI: https://doi.org/10.1134/S096554251005012X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. A. Aparinov, A. V. Setukha, “Application of mosaic-skeleton approximations in the simulation of three-dimensional vortex flows by vortex segments”, Zh. Vychisl. Mat. Mat. Fiz., 50:5 (2010), 937–948; Comput. Math. Math. Phys., 50:5 (2010), 890–899
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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