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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2512.19274 |
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| _version_ | 1866914214324469760 |
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| author | Cimarelli, A. Marras, N. Niceno, B. Urrecha, Y. Tessier |
| author_facet | Cimarelli, A. Marras, N. Niceno, B. Urrecha, Y. Tessier |
| contents | We propose the use of an unifying paradigm for the assessment and development of closed forms of the coarse-grained Navier-Stokes equations in approaches ranging from the statistical to the scale-resolving ones. It consists in the exact formalism provided by the temporally filtered Navier-Stokes equations. The fundamental idea is that the smoothing action of turbulent stresses can be described as a temporal filtering operator implicitly applied to the solution. Contrary to the average and spatial filtering operators, the temporal filter is an unifying operator smoothly varying within the statistical and scale-resolving realms. The potential of the temporal filtering paradigm is here highlighted by unveiling relevant algebraic properties and by deriving a new class of turbulence closures. A dynamic procedure is derived and shown to provide an unifying closure for both scale-resolving and statistical approaches. Results show that an improved physics is captured. Challenging phenomena such as the laminar to turbulence transition and the dependence of separation and reattachment on free-stream turbulence applied through boundary conditions are captured. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_19274 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Unifying formalism and closures for coarse-grained approaches to turbulence Cimarelli, A. Marras, N. Niceno, B. Urrecha, Y. Tessier Fluid Dynamics We propose the use of an unifying paradigm for the assessment and development of closed forms of the coarse-grained Navier-Stokes equations in approaches ranging from the statistical to the scale-resolving ones. It consists in the exact formalism provided by the temporally filtered Navier-Stokes equations. The fundamental idea is that the smoothing action of turbulent stresses can be described as a temporal filtering operator implicitly applied to the solution. Contrary to the average and spatial filtering operators, the temporal filter is an unifying operator smoothly varying within the statistical and scale-resolving realms. The potential of the temporal filtering paradigm is here highlighted by unveiling relevant algebraic properties and by deriving a new class of turbulence closures. A dynamic procedure is derived and shown to provide an unifying closure for both scale-resolving and statistical approaches. Results show that an improved physics is captured. Challenging phenomena such as the laminar to turbulence transition and the dependence of separation and reattachment on free-stream turbulence applied through boundary conditions are captured. |
| title | Unifying formalism and closures for coarse-grained approaches to turbulence |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2512.19274 |