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Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes

Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes
Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes
On the basis of rigorous analysis supported by numerical computation, a systematic study is presented to locate and examine chaotic Kolmogorov flows resulting from the interaction of a basic steady-state flow and oscillatory modes. Referenced to suitably chosen initial conditions of the Kolmogorov flow model, these oscillatory modes are derived from the equation linearized around the basic steady-state flow. The numerical experiments provide insight into the transition process from secondary self-oscillation flows or secondary steady-state flows to chaotic Kolmogorov flows.
0010-3616
737-766
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c
Chen, Zhi-Min
e4f81e6e-5304-4fd6-afb2-350ec8d1e90f
Price, W.G.
b7888f47-e3fc-46f4-9fb9-7839052ff17c

Chen, Zhi-Min and Price, W.G. (2005) Onset of chaotic Kolmogorov flows resulting from interacting oscillatory modes. Communications in Mathematical Physics, 256 (3), 737-766. (doi:10.1007/s00220-005-1290-0).

Record type: Article

Abstract

On the basis of rigorous analysis supported by numerical computation, a systematic study is presented to locate and examine chaotic Kolmogorov flows resulting from the interaction of a basic steady-state flow and oscillatory modes. Referenced to suitably chosen initial conditions of the Kolmogorov flow model, these oscillatory modes are derived from the equation linearized around the basic steady-state flow. The numerical experiments provide insight into the transition process from secondary self-oscillation flows or secondary steady-state flows to chaotic Kolmogorov flows.

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Published date: 2005

Identifiers

Local EPrints ID: 23645
URI: https://eprints.soton.ac.uk/id/eprint/23645
ISSN: 0010-3616
PURE UUID: e93f82ec-74eb-4768-97a0-cfbb191b3514

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Date deposited: 17 Mar 2006
Last modified: 17 Jul 2017 16:16

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