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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2008 Volume 48, Number 7, Pages 1309–1317 (Mi zvmmf4568)

This article is cited 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

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.

UDC: 519.634

Received: 19.10.2007
Revised: 05.02.2008


 English version:
Computational Mathematics and Mathematical Physics, 2008, 48:7, 1234–1242

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© Steklov Math. Inst. of RAS, 2024