Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2008-1pp.26-32

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A.N. Kraiko and G.E. Yakunina, "Optimal body design using localized interaction models," J. Appl. Math. Mech. 72 (1), 26-32 (2008)
Year 2008 Volume 72 Issue 1 Pages 26-32
Title Optimal body design using localized interaction models
Author(s) A.N. Kraiko (Moscow, Russia, akraiko@ciam.ru)
G.E. Yakunina (Moscow, Russia)
Abstract The problem of the designing bodies of minimum drag for a specified area of the base and a specified area of the ("windward") surface around which the flow occurs is considered in the approximation of an arbitrary localized interaction model. New necessary conditions for minimum drag are obtained which are stronger than the Legendre condition. It is shown that, in the approximation used, the optimal configurations in the general case contain end faces and cylindrical segments of the boundary extremum, which appear due to the existence of limits of applicability of local models. It is established that the solutions previously obtained are incomplete. A complete solution of the problem is constructed.
Received 19 April 2007
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