Fabre, David and Citro, Vincenzo and Sabino, Diogo
and Bonnefis, Paul
and Sierra Ausin, Javier
and Giannetti, Flavio and Pigou, Maxime
A practical review on linear and nonlinear global approaches to flow instabilities.
(2018)
Applied Mechanics Reviews, 70 (6). 060802. ISSN 0003-6900
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 5MB |
Official URL: https://doi.org/10.1115/1.4042737
Abstract
This paper aims at reviewing linear and nonlinear approaches to study the stability offluid flows. We provide a concise but self-contained exposition of the main concepts andspecific numerical methods designed for global stability studies, including the classicallinear stability analysis, the adjoint-based sensitivity, and the most recent nonlineardevelopments. Regarding numerical implementation, a number of ideas making resolu-tion particularly efficient are discussed, including mesh adaptation, simple shift-invertstrategy instead of the classical Arnoldi algorithm, and a simplification of the recent non-linear self-consistent (SC) approach proposed by Manticˇ-Lugo et al. (2014, “Self-Consistent Mean Flow Description of the Nonlinear Saturation of the Vortex Shedding inthe Cylinder Wake,” Phys. Rev. Lett., 113(8), p. 084501). An open-source software imple-menting all the concepts discussed in this paper is provided. The software is demon-strated for the reference case of the two-dimensional (2D) flow around a circularcylinder, in both incompressible and compressible cases, but is easily customizable to avariety of other flow configurations or flow equations.
Item Type: | Article |
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HAL Id: | hal-03240798 |
Audience (journal): | International peer-reviewed journal |
Uncontrolled Keywords: | |
Institution: | French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE) Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE) Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE) Other partners > Università degli Studi di Salerno - UniSa (ITALY) |
Laboratory name: | |
Statistics: | download |
Deposited On: | 18 May 2021 15:02 |
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