An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation
Fluid Dynamics
2021-04-27 v1
Abstract
High-accuracy and high-efficiency finite-time Lyapunov exponent (FTLE) calculation method has long been a research hot point, and adaptive refinement method is a kind of method in this field. The proposed objective-adaptive refinement (OAR) criterion can put adaptive particles at the vicinity of FTLE ridges. The FTLE ridge is extracted not simply by the magnitude of FTLE (would cause false negative refinement) and error (would cause false positive refinement) but by a modified gradient climbing method. Moreover, the refinement regions converge to some certain region because of the objectivity of the refinement region.
Keywords
Cite
@article{arxiv.1811.05059,
title = {An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculation},
author = {Haotian Hang and Bin Yu and Yang Xiang and Bin Zhang and Hong Liu},
journal= {arXiv preprint arXiv:1811.05059},
year = {2021}
}