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lcs4Foam -- An OpenFOAM Function Object to Compute Lagrangian Coherent Structures

2023/07/09 by Constantin Habes, Alexandra von Kameke, Habes, Constantin +5
Computer Science · Engineering · #76-04 #76-10 #Applied Physics (physics.app-ph) #Computer Graphics and Visualization Techniques #Evacuation and Crowd Dynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Heat Transfer #I.6.3 #I.6.6 #J.2

paper · pdf · doi:10.48550/arxiv.2307.04104

openalex publication_date 2023/07/09 · openalex created_date 2023/07/12 · openalex updated_date 2026/07/28

Abstract

To facilitate the understanding and to quantitatively assess the material transport in fluids, a modern characterisation method has emerged in fluid dynamics in the last decades footed in dynamical systems theory. It allows to examine the most influential material lines which are called Lagrangian Coherent Structures (LCS) and order the material transport into dynamically distinct regions at large scales which resist diffusion or mixing. LCS reveal the robust skeleton of material surfaces and are essential to assess material transport in time-dependent flows quantitatively. Candidates of LCS can be estimated and visualised from finite-time stretching and folding fields by calculating the Finite-Time Lyapunov Exponents (FTLE). In this contribution, we provide an OpenFOAM function object to compute FTLE during CFD simulation. This enables the OpenFOAM community to assess the geometry of the material transport in any flow quantitatively on-the-fly using principally any OpenFOAM flow solver.

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