Merger of coherent structures in time-periodic viscous flows | Zendy

Michel Speetjens | Zendy; H. J. H. Clercx | Zendy; G. J. F. van Heijst | Zendy

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Merger of coherent structures in time-periodic viscous flows

Author(s) -

Michel Speetjens,

H. J. H. Clercx,

G. J. F. van Heijst

Publication year - 2006

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.2355656

Subject(s) - inertia , constant (computer programming) , limit (mathematics) , torus , action (physics) , flow (mathematics) , motion (physics) , invariant (physics) , spheres , physics , classical mechanics , compressibility , incompressible flow , mathematics , mechanics , mathematical analysis , geometry , computer science , mathematical physics , quantum mechanics , astronomy , programming language

Inertia-induced changes in transport properties of an incompressible viscous time-periodic flow are studied in terms of the topological properties of volume-preserving maps. In the noninertial limit, the flow admits one constant of motion and thus relates to a so-called one-action map. However, the invariant surfaces corresponding to the constant of motion are topologically equivalent to spheres rather than the common case of tori. This has fundamental ramifications for the effect of inertia and leads to a new kind of response scenario: resonance-induced merger of coherent structures.

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