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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 7, Pages 1309–1317 (Mi zvmmf4568)  
This article is cited in 4 scientific papers (total in 4 papers)

Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body

N. B. Il'inskii, R. F. Mardanov, S. A. Solov'ev

Institute of Mathematics and Mechanics, Kazan State University, ul. Universitetskaya 17, Kazan, 420008, Russia
Full-text PDF (1187 kB) Citations (4)
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Abstract: A method was designed for determining the shape of an axisymmetric body from a given velocity distribution in its meridional cross section. The method is based on an iterative process involving the solution to an inverse problem in the plane case and the solution to a direct problem for the body. The iterative process has been implemented in a software program. Numerical computations are presented that illustrate the efficiency of the method.
Key words: inverse boundary value problem in aerohydrodynamics, ideal incompressible fluid, axisymmetric body, iterative process, panel method.
Received: 19.10.2007
Revised: 05.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 7, Pages 1234–1242
DOI: https://doi.org/10.1134/S0965542508070142
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. B. Il'inskii, R. F. Mardanov, S. A. Solov'ev, “Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body”, Zh. Vychisl. Mat. Mat. Fiz., 48:7 (2008), 1309–1317; Comput. Math. Math. Phys., 48:7 (2008), 1234–1242
Citation in format AMSBIB
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\paper Combined method for solving an inverse boundary value problem of aerohydrodynamics for an axisymmetric body
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\jour Comput. Math. Math. Phys.
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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