Gontarenko A.A., Bolshakova O.S. Solution of inverse problems of aerodynamics for non-convex shape

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Gontarenko Alexander Alexeevich

Assistant, Chair of Fundamental Information Science and Optimal Control, Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Bolshakova Olga Sergeevna

Master Student, Department of Applied Mathematics and Informatics, Volgograd State University
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Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation

Abstract. Technique for the numerical solution of the problem of constructing a non-convex body contour by the specified velocity distribution on its surface is proposed. The method is based on Fredholm integral equation of type II. We considered the parametrization using chord (x(θ), y(θ)) and angular (r( β), β ) diagrams of data distribution. Examples of numerical results are given.

Key words: direct problem of aerodynamics, inverse problem of aerodynamics, ideal incompressible fluid, parameterization, Fredholm integral equation of the second kind.

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Solution of Inverse Problems of Aerodynamics for Non-convex Shape by Gontarenko A.A., Bolshakova O.S. is licensed under a Creative Commons Attribution 4.0 International License.

Citation in English: Science Journal of Volgograd State University. Mathematics. Physics. №1 (14) 2011 pp. 76-80

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