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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 11, Pages 1976–1982 (Mi zvmmf9750)  
This article is cited in 3 scientific papers (total in 3 papers)

Direct method for the design of optimal three-dimensional aerodynamic shapes

N. P. Isakova, A. A. Kraiko, K. S. P'yankov

Baranov Central Institute for Aircraft Engine Design (TsIAM), Aviamotornaya ul. 2, Moscow, 111116, Russia
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Abstract: A direct optimization method for a broad class of three-dimensional aerodynamic shapes based on the approximation of the desired geometry by Bernstein–Bézier surfaces is developed. The high efficiency of the method is demonstrated by applying it to the design of an optimal supersonic section of an axisymmetric maximum-thrust de Laval nozzle. The method is also tested as applied to the design of a three-dimensional supersonic nozzle section in a dense multi-nozzle setup. In addition to three-dimensional supersonic nozzle sections with a circular throat, nozzles with a varying throat shape are considered. The results suggest that the method can be applied to various problems of 3D shape optimization.
Key words: Bernstein polynomials, Bernstein–Bézier surfaces, direct optimization methods, three-dimensional nozzles, multi-nozzle setup.
Received: 17.05.2012
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 11, Pages 1520–1525
DOI: https://doi.org/10.1134/S0965542512110061
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. P. Isakova, A. A. Kraiko, K. S. P'yankov, “Direct method for the design of optimal three-dimensional aerodynamic shapes”, Zh. Vychisl. Mat. Mat. Fiz., 52:11 (2012), 1976–1982; Comput. Math. Math. Phys., 52:11 (2012), 1520–1525
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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