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

Physics of Fluids - Tập 19 Số 11 - 2007
Philippe Carrière1
1UMR CNRS 5509-Université de Lyon Laboratoire de Mécanique des Fluides et d’Acoustique, , Ecole Centrale de Lyon-Université Lyon 1-INSA Lyon, 69134 Ecully cedex, France

Tóm tắt

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 ln2 predicted by the baker’s map.

Từ khóa


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