A turbulence model based on principal components
Literature on turbulence is very wide, providing several models for the power spectral density function of the single-point turbulence components, for the two-point coherence function of the same turbulence component and for the single-point coherence function of different turbulence components. On...
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Veröffentlicht in: | Probabilistic engineering mechanics 2002-10, Vol.17 (4), p.327-335 |
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description | Literature on turbulence is very wide, providing several models for the power spectral density function of the single-point turbulence components, for the two-point coherence function of the same turbulence component and for the single-point coherence function of different turbulence components. On the other hand, no suitable and simple model seems to be available for representing the two-point coherence function of different turbulence components, in particular of the longitudinal and vertical turbulence components, which would be useful for modelling buffeting actions on bridges. The Proper Orthogonal Decomposition provides efficient tools to formulate a new model of the turbulence field based on principal components. Furthermore, it suggests physical principles and defines mathematical rules to establish an appropriate model of the two-point coherence function of the longitudinal and vertical components, completing the statistical model of turbulence. Embedded in a Monte Carlo framework, this new representation can be used to simulate multi-dimensional and multi-variate random turbulence fields. |
doi_str_mv | 10.1016/S0266-8920(02)00016-4 |
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On the other hand, no suitable and simple model seems to be available for representing the two-point coherence function of different turbulence components, in particular of the longitudinal and vertical turbulence components, which would be useful for modelling buffeting actions on bridges. The Proper Orthogonal Decomposition provides efficient tools to formulate a new model of the turbulence field based on principal components. Furthermore, it suggests physical principles and defines mathematical rules to establish an appropriate model of the two-point coherence function of the longitudinal and vertical components, completing the statistical model of turbulence. 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Stresses ; Structural and continuum mechanics ; Turbulence modelling ; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) ; Vibrations and mechanical waves ; Wind engineering</subject><ispartof>Probabilistic engineering mechanics, 2002-10, Vol.17 (4), p.327-335</ispartof><rights>2002 Elsevier Science Ltd</rights><rights>2003 INIST-CNRS</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c368t-83fa413ccb6982c9ca027cfa59eb5af49a161fb99dd316493c0a1b11d967f9483</citedby><cites>FETCH-LOGICAL-c368t-83fa413ccb6982c9ca027cfa59eb5af49a161fb99dd316493c0a1b11d967f9483</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://dx.doi.org/10.1016/S0266-8920(02)00016-4$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,780,784,3550,27924,27925,45995</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=14004256$$DView record in Pascal Francis$$Hfree_for_read</backlink></links><search><creatorcontrib>Solari, G.</creatorcontrib><creatorcontrib>Tubino, F.</creatorcontrib><title>A turbulence model based on principal components</title><title>Probabilistic engineering mechanics</title><description>Literature on turbulence is very wide, providing several models for the power spectral density function of the single-point turbulence components, for the two-point coherence function of the same turbulence component and for the single-point coherence function of different turbulence components. On the other hand, no suitable and simple model seems to be available for representing the two-point coherence function of different turbulence components, in particular of the longitudinal and vertical turbulence components, which would be useful for modelling buffeting actions on bridges. The Proper Orthogonal Decomposition provides efficient tools to formulate a new model of the turbulence field based on principal components. Furthermore, it suggests physical principles and defines mathematical rules to establish an appropriate model of the two-point coherence function of the longitudinal and vertical components, completing the statistical model of turbulence. Embedded in a Monte Carlo framework, this new representation can be used to simulate multi-dimensional and multi-variate random turbulence fields.</description><subject>Applied sciences</subject><subject>Atmospheric turbulence</subject><subject>Buildings. Public works</subject><subject>Computation methods. Tables. Charts</subject><subject>Computational methods in fluid dynamics</subject><subject>Exact sciences and technology</subject><subject>Fluid dynamics</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Physics</subject><subject>Principal component</subject><subject>Proper component</subject><subject>Proper Orthogonal Decomposition</subject><subject>Solid mechanics</subject><subject>Structural analysis. 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subjects | Applied sciences Atmospheric turbulence Buildings. Public works Computation methods. Tables. Charts Computational methods in fluid dynamics Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Physics Principal component Proper component Proper Orthogonal Decomposition Solid mechanics Structural analysis. Stresses Structural and continuum mechanics Turbulence modelling Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...) Vibrations and mechanical waves Wind engineering |
title | A turbulence model based on principal components |
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