Work

Comparison of the Costs for Generating the Tollmien-schlichting Waves and Optimal Disturbances Using Optimal Blowing–suction

Year: 2024

Type: article

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.

Source: Доклады Российской академии наук Математика информатика процессы управления

DOI: 10.31857/s2686954324050043

Authors: K. V. Demyanko, Y. M. Nechepurenko, I. G. Chechkin

Institutions: Russian Academy of Sciences, Institute of Numerical Mathematics, Keldysh Institute of Applied Mathematics, Lomonosov Moscow State University

Language: English

Topic: Fluid Dynamics and Turbulent Flows

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W4405894671

FWCI:

Cites: 8

Cited by:

Related to: 10