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Journal Articles Physics of Fluids Year : 2007

On a three-dimensional implementation of the baker's transformation

Abstract

A three-dimensional, steady flow configuration intended to mimic the baker's map is studied by means of numerical simulation. The Poincaré sections computed from a finite element solution of the velocity field show that the behavior is dominated by chaotic advection. The value obtained for the Lyapunov exponent is very close to the theoretical value of ln 2 predicted by the baker's map.
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Dates and versions

hal-00272157 , version 1 (15-06-2012)

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Philippe Carrière. On a three-dimensional implementation of the baker's transformation. Physics of Fluids, 2007, 19, pp.118110. ⟨10.1063/1.2804959⟩. ⟨hal-00272157⟩
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