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Internal Report

Stability analysis and control design of spatially developing flows

Author Document Type Year Download File size
Shervin Bagheri Licentiate thesis 2008 Download 3.8 Mb
Id
ISSN 0348-467X
ISRN KTH/MEK/TR--08/04--SE

Abstract

Methods in hydrodynamic stability, systems and control theory are applied to spatially developing flows, where the flow is not required to vary slowly in the streamwise direction. A substantial part of the thesis presents a theoretical framework for the stability analysis, input-output behavior, model reduction and control design for fluid dynamical systems using examples on the linear complex Ginzburg-Landau equation. The framework is then applied to highdimensional systems arising from the discretized Navier–Stokes equations. In particular, global stability analysis of the three-dimensional jet in cross flow and control design of two-dimensional disturbances in the flat-plate boundary layer are performed. Finally, a parametric study of the passive control of two-dimensional disturbances in a flat-plate boundary layer using streamwise streaks is presented.