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The effect of forcing on the spatial structure and spectra of chaotically advected passive scalars (2000)

Neufeld, Zoltán ; Haynes, Peter H. ; Picard, Guillemette

[S.l.] : American Institute of Physics (AIP)

Physics of Fluids 12 (2000), S. 2506-2513

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ISSN: 1089-7666

Source: AIP Digital Archive

Topics: Physics

Notes: The stationary distribution of passive tracers chaotically advected by a two-dimensional large-scale flow is investigated. The value of the tracer is conserved following each fluid element except when the element enters certain localized regions. The tracer value is then instantenously reset to a value associated with the region entered. This resetting acts as a forcing for the tracer field. This problem is mathematically equivalent to advection in open flows and results in a fractal tracer structure. The spectral exponent of the tracer field is different from that for a passive tracer with the usual additive forcing (the so-called Batchelor spectrum) and is related to the fractal dimension of the set of points that have never visited the forcing regions. We illustrate this behavior by considering a time-periodic flow whose effect is equivalent to a simple two-dimensional area-preserving map. We also show that similar structure in the tracer field is found when the flow is aperiodic in time. © 2000 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.1289504

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