Chaotic advection in compressible helical flow.
Compressible helical flow with div v not equal to 0 drastically increases the area of chaotic dynamics and mixing properties when the helicity parameter is spatially dependent. We show that the density dependence on the z coordinate can be incorporated in new variables in a way that leads to a Hamiltonian formulation of the system. This permits the application of various important results like the Kolmogorov-Arnold-Moser theory and, particularly, an understanding of why and in which sense the compressible helical flow is "more chaotic" than the incompressible one. Simulation demonstrates this property for an analog of the ABC flow. An interesting type of the dynamical system with "dense" island chains is described.
Govorukhin
V N
VN
Department of Mathematics and Mechanics, Rostov State University, 5 Zorge Street, Rostov-na-Donu 344104, Russia.
Morgulis
A
A
Yudovich
V I
VI
Zaslavsky
G M
GM