A Seven Mode Truncation of the Kolmogorov Flow with Drag: Analysis and Control

Risultato della ricerca: Otherpeer review

Abstract

The transition from laminar to chaotic motions in a viscous °uid °ow is in-vestigated by analyzing a seven dimensional dynamical system obtained by atruncation of the Fourier modes for the Kolmogorov °ow with drag friction. An-alytical expressions of the Hopf bifurcation curves are obtained and a sequenceof period doubling bifurcations are numerically observed as the Reynolds num-ber is increased for ¯xed values of the drag parameter. An adaptive stabilizationof the system trajectories to an equilibrium point or to a periodic orbit is ob-tained through a model reference approach which makes the control global.Finally, the e®ectiveness of this control strategy is numerically illustrated.
Lingua originaleEnglish
Pagine121-129
Numero di pagine10
Stato di pubblicazionePublished - 2009

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation

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