Stretching and folding of Lagrangian coherent structure in cavity flows
In order to understand how would Lagrangian coherent structure (LCS) take form in a time-dependent flow and how these hidden structures govern the mixing and transport in flows, a 2D cavity flow was studied. I developed a numerical scheme based on the finite-time Lyapunov exponent method to locate LCS from the flow field. The result shows that the mixing and transport are strongly related to the LCS, particularly the attractive type of LCS.
Lagrangian coherent structures, repulsive (left); attractive (right)
Time evolution of passive tracers
This project was my master's thesis research at National Taiwan University under the supervision of Professor Tzuyin Wu.