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COMPARISON OF THE COSTS FOR GENERATING THE TOLLMIEN-SCHLICHTING WAVES AND OPTIMAL DISTURBANCES USING OPTIMAL BLOWING–SUCTION
- Authors: Demyanko K.V.1,2, Nechepurenko Y.M.1,2, Chechkin I.G.1,3
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Affiliations:
- Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences
- Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences
- Lomonosov Moscow State University
- Issue: Vol 519, No 1 (2024)
- Pages: 18-21
- Section: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/648012
- DOI: https://doi.org/10.31857/S2686954324050043
- EDN: https://elibrary.ru/XEMGRW
- ID: 648012
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Abstract
The problem of generating the Tollmien-Schlichting waves (leading eigenmodes) and optimal disturbances with a given accuracy using optimal blowing–suction is considered with the example of Poiseuille flow in a duct of square cross-section and streamwise-harmonic blowing-suction through the duct walls. The problem is reduced to solving optimal control problems for the linearized governing equations of viscous incompressible media. It is shown for the first time that generating the optimal disturbances using blowing–suction is much more expensive than generating the leading modes.
About the authors
K. V. Demyanko
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences; Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences
Email: kirill.demyanko@yandex.ru
Moscow, Russia; Moscow, Russia
Y. M. Nechepurenko
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences; Marchuk Institute of Numerical Mathematics, Russian Academy of Sciences
Email: yumnech@yandex.ru
Moscow, Russia; Moscow, Russia
I. G. Chechkin
Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences; Lomonosov Moscow State University
Email: ivan.chechkin@math.msu.ru
Moscow, Russia; Moscow, Russia
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