Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders

Numerical simulations of fluid flows can produce a huge amount of data and inadvertently important flow structures can be ignored, if a thorough analysis is not performed. The identification of these flow structures, mainly in transient situations, is a complex task, since such structures change in...

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Autores principales:	Ângela M. Ribau, Nelson D. Gonçalves, Luís L. Ferrás, Alexandre M. Afonso
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	proper orthogonal decomposition (POD) Navier–Stokes equations computational fluid dynamics (CFD) von Kármán vortex street Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
Acceso en línea:	https://doaj.org/article/7ba5a9fa16fb4dddb50193611cdd81ee
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spelling	oai:doaj.org-article:7ba5a9fa16fb4dddb50193611cdd81ee2021-11-25T17:31:30ZFlow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders10.3390/fluids61103842311-5521https://doaj.org/article/7ba5a9fa16fb4dddb50193611cdd81ee2021-10-01T00:00:00Zhttps://www.mdpi.com/2311-5521/6/11/384https://doaj.org/toc/2311-5521Numerical simulations of fluid flows can produce a huge amount of data and inadvertently important flow structures can be ignored, if a thorough analysis is not performed. The identification of these flow structures, mainly in transient situations, is a complex task, since such structures change in time and can move along the domain. With the decomposition of the entire data set into smaller sets, important structures present in the main flow and structures with periodic behaviour, like vortices, can be identified. Therefore, through the analysis of the frequency of each of these components and using a smaller number of components, we show that the Proper Orthogonal Decomposition can be used not only to reduce the amount of significant data, but also to obtain a better and global understanding of the flow (through the analysis of specific modes). In this work, the von Kármán vortex street is decomposed into a generator base and analysed through the Proper Orthogonal Decomposition for the 2D flow around a cylinder and the 2D flow around two cylinders with different radii. We consider a Newtonian fluid and two non-Newtonian power-law fluids, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>=</mo><mn>0.7</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>=</mo><mn>1.3</mn></mrow></semantics></math></inline-formula>. Grouping specific modes, a reconstruction is made, allowing the identification of complex structures that otherwise would be impossible to identify using simple post-processing of the fluid flow.Ângela M. RibauNelson D. GonçalvesLuís L. FerrásAlexandre M. AfonsoMDPI AGarticleproper orthogonal decomposition (POD)Navier–Stokes equationscomputational fluid dynamics (CFD)von Kármán vortex streetThermodynamicsQC310.15-319Descriptive and experimental mechanicsQC120-168.85ENFluids, Vol 6, Iss 384, p 384 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	proper orthogonal decomposition (POD) Navier–Stokes equations computational fluid dynamics (CFD) von Kármán vortex street Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85
spellingShingle	proper orthogonal decomposition (POD) Navier–Stokes equations computational fluid dynamics (CFD) von Kármán vortex street Thermodynamics QC310.15-319 Descriptive and experimental mechanics QC120-168.85 Ângela M. Ribau Nelson D. Gonçalves Luís L. Ferrás Alexandre M. Afonso Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
description	Numerical simulations of fluid flows can produce a huge amount of data and inadvertently important flow structures can be ignored, if a thorough analysis is not performed. The identification of these flow structures, mainly in transient situations, is a complex task, since such structures change in time and can move along the domain. With the decomposition of the entire data set into smaller sets, important structures present in the main flow and structures with periodic behaviour, like vortices, can be identified. Therefore, through the analysis of the frequency of each of these components and using a smaller number of components, we show that the Proper Orthogonal Decomposition can be used not only to reduce the amount of significant data, but also to obtain a better and global understanding of the flow (through the analysis of specific modes). In this work, the von Kármán vortex street is decomposed into a generator base and analysed through the Proper Orthogonal Decomposition for the 2D flow around a cylinder and the 2D flow around two cylinders with different radii. We consider a Newtonian fluid and two non-Newtonian power-law fluids, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>=</mo><mn>0.7</mn></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>n</mi><mo>=</mo><mn>1.3</mn></mrow></semantics></math></inline-formula>. Grouping specific modes, a reconstruction is made, allowing the identification of complex structures that otherwise would be impossible to identify using simple post-processing of the fluid flow.
format	article
author	Ângela M. Ribau Nelson D. Gonçalves Luís L. Ferrás Alexandre M. Afonso
author_facet	Ângela M. Ribau Nelson D. Gonçalves Luís L. Ferrás Alexandre M. Afonso
author_sort	Ângela M. Ribau
title	Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
title_short	Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
title_full	Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
title_fullStr	Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
title_full_unstemmed	Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders
title_sort	flow structures identification through proper orthogonal decomposition: the flow around two distinct cylinders
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/7ba5a9fa16fb4dddb50193611cdd81ee
work_keys_str_mv	AT angelamribau flowstructuresidentificationthroughproperorthogonaldecompositiontheflowaroundtwodistinctcylinders AT nelsondgoncalves flowstructuresidentificationthroughproperorthogonaldecompositiontheflowaroundtwodistinctcylinders AT luislferras flowstructuresidentificationthroughproperorthogonaldecompositiontheflowaroundtwodistinctcylinders AT alexandremafonso flowstructuresidentificationthroughproperorthogonaldecompositiontheflowaroundtwodistinctcylinders
_version_	1718412232364130304

Flow Structures Identification through Proper Orthogonal Decomposition: The Flow around Two Distinct Cylinders

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