dorsal/arxiv
View SchemaA LES-Langevin model for turbulence
| Authors | Jean-Philippe Laval, Berengere Dubrulle |
|---|---|
| Categories | |
| ArXiv ID | physics/0602103 |
| URL | https://arxiv.org/abs/physics/0602103 |
| DOI | 10.1140/epjb/e2006-00082-4 |
Abstract
We propose a new model of turbulence for use in large-eddy simulations (LES). The turbulent force, represented here by the turbulent Lamb vector, is divided in two contributions. The contribution including only subfilter fields is deterministically modeled through a classical eddy-viscosity. The other contribution including both filtered and subfilter scales is dynamically computed as solution of a generalized (stochastic) Langevin equation. This equation is derived using Rapid Distortion Theory (RDT) applied to the subfilter scales. The general friction operator therefore includes both advection and stretching by the resolved scale. The stochastic noise is derived as the sum of a contribution from the energy cascade and a contribution from the pressure. The LES model is thus made of an equation for the resolved scale, including the turbulent force, and a generalized Langevin equation integrated on a twice-finer grid. The model is validated by comparison to DNS and is tested against classical LES models for isotropic homogeneous turbulence, based on eddy viscosity. We show that even in this situation, where no walls are present, our inclusion of backscatter through the Langevin equation results in a better description of the flow.
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"abstract": "We propose a new model of turbulence for use in large-eddy simulations (LES).\nThe turbulent force, represented here by the turbulent Lamb vector, is divided\nin two contributions. The contribution including only subfilter fields is\ndeterministically modeled through a classical eddy-viscosity. The other\ncontribution including both filtered and subfilter scales is dynamically\ncomputed as solution of a generalized (stochastic) Langevin equation. This\nequation is derived using Rapid Distortion Theory (RDT) applied to the\nsubfilter scales. The general friction operator therefore includes both\nadvection and stretching by the resolved scale. The stochastic noise is derived\nas the sum of a contribution from the energy cascade and a contribution from\nthe pressure. The LES model is thus made of an equation for the resolved scale,\nincluding the turbulent force, and a generalized Langevin equation integrated\non a twice-finer grid. The model is validated by comparison to DNS and is\ntested against classical LES models for isotropic homogeneous turbulence, based\non eddy viscosity. We show that even in this situation, where no walls are\npresent, our inclusion of backscatter through the Langevin equation results in\na better description of the flow.",
"arxiv_id": "physics/0602103",
"authors": [
"Jean-Philippe Laval",
"Berengere Dubrulle"
],
"categories": [
"physics.flu-dyn",
"physics.comp-ph"
],
"doi": "10.1140/epjb/e2006-00082-4",
"title": "A LES-Langevin model for turbulence",
"url": "https://arxiv.org/abs/physics/0602103"
},
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