Lagrangian coherent structures
Degree GrantorUniversity of Canterbury
Though dynamical systems are a popular area of research these days, previous methods have dealt poorly with non-autonomous systems. Invariant manifolds are not easily found if they too are advected by the flow. Lagrangian methods, however, can deal with such behaviour, looking at the finite-time Lyapunov exponent (FTLE) of each point in the field as a behavioural guide. This paper seeks to understand the nature of these FTLE fields, and the Lagrangian Coherent Structures (LCSs) they contain. To this end, precise definitions are developed and explored, allowing the construction of algorithms for the computation of the FTLE field, as well as the extraction of the LCS.
SubjectsField of Research::01 - Mathematical Sciences::0102 - Applied Mathematics::010204 - Dynamical Systems in Applications
- Engineering: Reports