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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 6, Pages 1109–1125
(Mi zvmmf4894)
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This article is cited in 21 scientific papers (total in 21 papers)
A technique for the numerical analysis of the riblet effect on the temporal stability of plane flows
A. V. Boĭkoa, Yu. M. Nechepurenkob a Khristianovich Institute of Theoretical and Applied Mechanics, Siberian Branch, Russian Academy of Sciences, Institutskaya ul. 4/1, Novosibirsk, 630090 Russia
b Institute of Numerical Mathematics, Russian Academy of Sciences, ul. Gubkina 8, Moskow, 119991 Russia
Abstract:
Problems related to the temporal stability of laminar viscous incompressible flows in plane channels with ribbed walls are formulated, justified, and numerically solved. A new method is proposed whereby the systems of ordinary differential and algebraic equations obtained after a spatial approximation are transformed into systems of ordinary differential equations with a halved number of unknowns. New algorithms that effectively calculate stability characteristics, such as the critical Reynolds numbers, the maximum amplification of the disturbance kinetic energy density, and optimal disturbances are described and substantiated. The results of numerical experiments with riblets similar in shape to those used in practice are presented and discussed.
Key words:
channel flows, riblets, temporal stability, systems of ordinary differential and algebraic equations, reduction, critical Reynolds numbers, maximum amplification of kinetic energy density, optimal disturbances.
Received: 19.11.2009
Citation:
A. V. Boǐko, Yu. M. Nechepurenko, “A technique for the numerical analysis of the riblet effect on the temporal stability of plane flows”, Zh. Vychisl. Mat. Mat. Fiz., 50:6 (2010), 1109–1125; Comput. Math. Math. Phys., 50:6 (2010), 1055–1070
Linking options:
https://www.mathnet.ru/eng/zvmmf4894 https://www.mathnet.ru/eng/zvmmf/v50/i6/p1109
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Abstract page: | 374 | Full-text PDF : | 104 | References: | 35 | First page: | 7 |
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