Effects of manifolds and corner singularities on stretching in chaotic cavity flows
It has been earlier assumed that the stretching field in chaotic flows evolves as a result of a random multiplicative process. This assumption has been used to derive an asymptotic scaling formalism of distributions of stretching values. Deviations from this scaling were thought to be limited to cases with regular islands. However, as is shown in this paper for the chaotic cavity flow, deviations from the proposed scaling can also occur for globally chaotic flows as a result of the joint action of unstable manifolds of hyperbolic periodic point and of singularities at the corners of the cavity.
scientific article; zbMATH DE number 716233