Chaotic advection of irrotational flows and of waves in fluids

摘要: This paper treats the kinematics of particles advected passively by flow an incompressible fluid. It is shown that for steady irrotational without circulation, and many monochromatic waves in a fluid particle paths are not chaotic, i.e. do depend sensitively on initial conditions. However, if time-periodic potential or superposition then may be chaotic. application theory Melnikov to breakup heteroclinic orbit (which connects two stagnation points bound region closed streamlines) onset chaos examples two-dimensional flow. The first example simple unbounded comprising with which has perturbation. second Rossby mean zonal flow; examined geometrically numerically, consequences pollutant dispersion discussed physical terms. Also combination effects chaotic advection molecular diffusion transport solute examined.