3 papers
nlin.CD2019
Finite-time Lyapunov exponents in the instantaneous limit and material transport
Peter J. Nolan, Mattia Serra, Shane D. Ross
Lagrangian techniques, such as the finite-time Lyapunov exponent (FTLE) and hyperbolic Lagrangian coherent structures (LCS), have become popular tools for analyzing unsteady fluid…
physics.flu-dyn2018
Lagrangian Data-Driven Reduced Order Modeling of Finite Time Lyapunov Exponents
Xuping Xie, Peter J. Nolan, Shane D. Ross +2
There are two main strategies for improving the projection-based reduced order model (ROM) accuracy: (i) improving the ROM, i.e., adding new terms to the standard ROM; and (ii) imp…
nlin.CD2017
Trajectory-free approximation of phase space structures using the trajectory divergence rate
Gary K. Nave, Peter J. Nolan, Shane D. Ross
This paper introduces the trajectory divergence rate, a scalar field which locally gives the instantaneous attraction or repulsion of adjacent trajectories. This scalar field may b…