English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

Lagrangian coherent structures (LCS) in fluid flows appear as co-dimensionone ridges of the finite time Lyapunov exponent (FTLE) field. In three-dimensions this means two-dimensional ridges. A fast algorithm is presentedhere to locate and extract such ridge surfaces while avoiding unnecessarycomputations away from the LCS. This algorithm reduces the order of thecomputational complexity from O(1/dx^3) to about O(1/dx^2) by eliminatingcomputations over most of the three dimensional domain and computing the FTLEonly near the two-dimensional ridge surfaces. The algorithm is grid based andproofs of error bounds for ridge locations are included. The algorithmperformance and error bounds are verified in several examples. The algorithmoffers significant advantages in computational cost as well as later dataanalysis.

A 3D fast algorithm for computing Lagrangian coherent structures via ridge tracking