Data-driven and operator-based tools for the analysis of turbulent flows

Research output: Chapter in Book/Report/Conference proceedingChapter

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Abstract

Coherent structures-defined as organized fluid elements of significant life-time and scale-have been the focus of many studies of turbulent flows. The extraction, tracking and interpretation of these structures has become a key endeavor in the analysis and understanding of momentum and energy transfer processes when turbulence is a central feature. In this chapter, we review common techniques for the detection of coherent structures from data sequences or their inference from governing equations. Starting with general decompositions of data sequences, we motivate the use of orthogonal and single-frequential decompositions. Operator-based resolvent analysis is covered, as are algorithmic steps for the efficient and robust computation of the modal decompositions. Less common techniques that address special flow features and a brief outlook towards recent developments conclude this exposition.
Original languageEnglish (US)
Title of host publicationAdvanced Approaches in Turbulence: Theory, Modeling, Simulation, and Data Analysis for Turbulent Flows
PublisherElsevier
Pages243-305
Number of pages63
ISBN (Print)9780128207741
DOIs
StatePublished - Jan 1 2021
Externally publishedYes

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