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Yu. G. Izrailsky, V. F. Kozlov, K. V. Koshel
Some features of chaotization of a pulsating barotropic flow over a seamount with elliptic cross-section
We consider a barotropic inviscid model of chaotic advection in a unidirectional pulsating background flow over a seamount of an elliptic form. We numerically study the process of passive tracer transport from the vortex area to the flow-through area, and in particular we give the dependence of evolution of the corresponding Poincaré maps on the frequency and amplitude of incident flow pulsations. We propose an approach to the study of the mechanism and parameters of chaotic advection in open systems with finite trajectories lifetime. It is based on studying the time it takes for tracers to be carried out from the vortex area to the flow-through area. We show the essential impact of the seamount orientation with respect to an incident flow on the rate and scenario of tracers transport from the vortex area.
Russian Journal of Numerical Analysis and Mathematical Modelling, Walter de Gruyter
Print ISSN: 0927-6467
Volume: 18, 06/2003
Pages: 243 - 260