A dynamic subgrid–scale eddy viscosity model
Abstract
One major drawback of the eddy viscosity subgrid-scale stress models used in large-eddy simulations is their inability to represent correctly with a single universal constant different turbulent fields in rotating or sheared flows, near solid walls, or in transitional regimes. In the present work a new eddy viscosity model is presented which alleviates many of these drawbacks. The model coefficient is computed dynamically as the calculation progresses rather than input a priori. The model is based on an algebraic identity between the subgrid-scale stresses at two different filtered levels and the resolved turbulent stresses. The subgrid-scale stresses obtained using the proposed model vanish in laminar flow and at a solid boundary, and have the correct asymptotic behavior in the near-wall region of a turbulent boundary layer. The results of large-eddy simulations of transitional and turbulent channel flow that use the proposed model are in good agreement with the direct simulation data.
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The Germano et al. model allows for backscattering, either averaged or localized.
“Third, the model allows for backscattering, either averaged or localized.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [232]
The Germano et al. model is proportional to the cube of the distance from a solid boundary in the near-wall region.
“Second, the model is proportional to the cube of the distance from a solid boundary in the nearwall region.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [232]
In the Germano et al. formulation, resolved turbulent stresses become zero in laminar flow and at solid boundaries.
“First, the resolved turbulent stresses become zero in the case of laminar flow and at solid boundaries.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [232]
Germano et al. proposed a modification to the Smagorinsky model to overcome the arbitrariness of the constant CS.
“Germano et al. [232] proposed a modification to the Smagorinsky model to overcome the arbitrariness of the constant CS .”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [232]
The Germano et al. model is not very sensitive to the ratio between the test and grid filter.
“In addition, the model is not very sensitive to the ratio between the test to the grid filter [232].”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [232]
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Self-citationSubgrid-scale backscatter in turbulent and transitional flows
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Self-citationModel consistency in large eddy simulation of turbulent channel flows
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Subgrid-scale stress modelling based on the square of the velocity gradient tensor
Nicoud, F., & Ducros, F. (1999) · Flow, Turbulence and Combustion · doi:10.1023/a:1009995426001 · Cited by 4,161 · see citing works
A proposed modification of the Germano subgrid–scale closure method
Lilly, D. K. (1992) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858280 · Cited by 4,077 · see citing works
Machine Learning for Fluid Mechanics
Brunton, S. L., Noack, B. R., & Koumoutsakos, P. (2020) · Annual Review of Fluid Mechanics · doi:10.1146/annurev-fluid-010719-060214 · Cited by 3,063 · see citing works
A new dynamic one-equation subgrid-scale model for large eddy simulations
Kim, W.-W., & Menon, S. (1995) · 33rd Aerospace Sciences Meeting and Exhibit · doi:10.2514/6.1995-356 · Cited by 335 · see citing works
Filament-Based Atmospheric Dispersion Model to Achieve Short Time-Scale Structure of Odor Plumes
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Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
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- Authors
- Germano, M., Piomelli, U., Moin, P., & Cabot, W. H.
- Affiliations
- Stanford University (US)
- Venue
- Physics of Fluids A: Fluid Dynamics
- Publisher
- AIP Publishing
- Published
- 1991-07-01
- Volume
- 3
- Issue
- 7
- Pages
- 1760-1765
- ISSN
- 0899-8213 (ISSN-L)
- OpenAlex
- W2074447412
- Cited by
- 7,305
- References
- 13
- Citations by year
- 2026: 219 · 2025: 281 · 2024: 299 · 2023: 324 · 2022: 289 · 2021: 341 · 2020: 328 · 2019: 331 · 2018: 347 · 2017: 277 · 2016: 331 · 2015: 272 · 2014: 274 · 2013: 269 · 2012: 275
- FWCI
- 43.38
- Type
- journal article
- Language
- en
- Update notices
- correction (1991-12-01)
- Open access
- closed
- Locations
- Physics of Fluids A Fluid Dynamics (publishedVersion)
- Topics
- Physical Sciences › Engineering › Computational Mechanics › Fluid Dynamics and Turbulent Flows
- Physical Sciences › Engineering › Computational Mechanics › Computational Fluid Dynamics and Aerodynamics
- Physical Sciences › Engineering › Computational Mechanics › Combustion and flame dynamics
- Keywords
- large eddy simulation, subgrid-scale stress, turbulent boundary layer, near-wall turbulence, laminar flow
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