The kinematical and dynamical issues involved in stretching and alignment in chaotic and turbulent flows are examined. Dynamical systems tools, such as Lyapunov exponents, are discussed in the context of fluid mechanical problems and their connection with stretching rates in turbulent flows. Formalisms for the stretching and alignment of passive scalars, passive vectors and nonpassive vectors are developed and the interplay between kinematics and dynamics emphasized. This enables us to compare and contrast the behavior of line elements, gradients of scalar fields, vorticity and magnetic field lines.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Physics and Astronomy(all)
- Applied Mathematics