A second-order resolvent formulation for the analysis of turbulent flow structures
An attempt to improve the accuracy of resolvent-based predictions by including velocity correlations in the linear model is developed here. Closure assumptions for unresolved nonlinearities are thus pushed back to a higher order. Turbulent channel flow is considered as a test case: response and forc...
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| Format: | Article |
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Académie des sciences
2023-09-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.193/ |
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| author | Chevalier, Quentin Lutz, Lesshafft Cavalieri, André V. G. |
| author_facet | Chevalier, Quentin Lutz, Lesshafft Cavalieri, André V. G. |
| author_sort | Chevalier, Quentin |
| collection | DOAJ |
| description | An attempt to improve the accuracy of resolvent-based predictions by including velocity correlations in the linear model is developed here. Closure assumptions for unresolved nonlinearities are thus pushed back to a higher order. Turbulent channel flow is considered as a test case: response and forcing modes obtained from singular value decomposition of the new resolvent model are compared to Spectral Proper Orthogonal Decomposition (SPOD) modes extracted from a Direct Numerical Simulation (DNS) database. The performance of the approach is also measured against previous resolvent-based models. The new model does not yield significant global improvement, but does improve predictions in some regions. Further work on the method should target the linear modeling of the velocity-pressure gradient correlation tensor. |
| format | Article |
| id | doaj-art-589adb0470d04389bad2a607eb0afb3a |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-589adb0470d04389bad2a607eb0afb3a2025-02-07T13:47:15ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-09-01351G235537110.5802/crmeca.19310.5802/crmeca.193A second-order resolvent formulation for the analysis of turbulent flow structuresChevalier, Quentin0Lutz, Lesshafft1Cavalieri, André V. G.2Laboratoire d’Hydrodynamique, CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, FranceLaboratoire d’Hydrodynamique, CNRS, École polytechnique, Institut Polytechnique de Paris, 91120 Palaiseau, FranceInstituto Tecnológico de Aeronáutica, 12228-900 São José dos Campos, BrazilAn attempt to improve the accuracy of resolvent-based predictions by including velocity correlations in the linear model is developed here. Closure assumptions for unresolved nonlinearities are thus pushed back to a higher order. Turbulent channel flow is considered as a test case: response and forcing modes obtained from singular value decomposition of the new resolvent model are compared to Spectral Proper Orthogonal Decomposition (SPOD) modes extracted from a Direct Numerical Simulation (DNS) database. The performance of the approach is also measured against previous resolvent-based models. The new model does not yield significant global improvement, but does improve predictions in some regions. Further work on the method should target the linear modeling of the velocity-pressure gradient correlation tensor.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.193/Resolvent analysisTurbulenceReduced-order modelingTheoretical fluid mechanicsLinear analysis |
| spellingShingle | Chevalier, Quentin Lutz, Lesshafft Cavalieri, André V. G. A second-order resolvent formulation for the analysis of turbulent flow structures Comptes Rendus. Mécanique Resolvent analysis Turbulence Reduced-order modeling Theoretical fluid mechanics Linear analysis |
| title | A second-order resolvent formulation for the analysis of turbulent flow structures |
| title_full | A second-order resolvent formulation for the analysis of turbulent flow structures |
| title_fullStr | A second-order resolvent formulation for the analysis of turbulent flow structures |
| title_full_unstemmed | A second-order resolvent formulation for the analysis of turbulent flow structures |
| title_short | A second-order resolvent formulation for the analysis of turbulent flow structures |
| title_sort | second order resolvent formulation for the analysis of turbulent flow structures |
| topic | Resolvent analysis Turbulence Reduced-order modeling Theoretical fluid mechanics Linear analysis |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.193/ |
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