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

Zh. Vychisl. Mat. Mat. Fiz., 2017 Volume 57, Number 10, Pages 1708–1721 (Mi zvmmf10628)

Modified discrete source method as applied to the simulation of flows over a periodically irregular surface and a body of revolution

A. G. Kyurkchanabc, S. A. Manenkova

a Moscow Technical University of Communications and Informatics, Moscow, Russia
b Kotelnikov Institute of Radio Engineering and Electronics, Fryazino Branch, Russian Academy of Sciences, Fryazino, Moscow oblast, Russia
c Central Research Institute of Communications, Moscow, Russia

Abstract: The incompressible flow over a stationary periodically irregular surface and a compact body of revolution is computed by applying a modified discrete source method. The method is tested as applied to the flow over a stationary sphere. Numerical results are presented for flows over a sinusoidal surface, a cycloidal surface, a spheroid, a Chebyshev particle, an “analytical” cylinder, and a half ball.

Key words: Laplace equation, discrete source method, auxiliary sources, analytic continuation of a potential, incompressible flow problem.

UDC: 519.634

Received: 23.05.2016
Revised: 15.02.2017

DOI: 10.7868/S0044466917100118


 English version:
Computational Mathematics and Mathematical Physics, 2017, 57:10, 1682–1694

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© Steklov Math. Inst. of RAS, 2024