Barotropic Model of Chaotic Advection in Background Flows

V. F. Kozlov and K. V. Koshel’

Pacific Institute of Oceanology, Far East Division, Russian Academy of Sciences,
Baltiiskaya ul. 43, Vladivostok, 690041 Russia

Received December 4, 1997; in final form, April 28, 1998

Abstract—The paper proposes a class of barotropic models for chaotic advection in a background flow [36],
which represents a sum of a stationary solenoidal planetary–topographic component and a nonstationary poten-
tial flow-type component. A problem is considered for a semicircle with a linear bottom relief and a source–
sink system at the angular points of the boundary. Numerical experiments were performed to study the transport
of a cloud of passive tracers out of a solenoidal region into a flow region due to periodic variations in flow rate.
The effect of variation parameters (frequency, amplitude, phase) on the rate and degree of marker washing out
is studied. Preliminary estimates of the Lyapunov exponents of trajectories are made and the occurrence of
chaos is inferred.

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