A proposed modification of the Germano subgrid–scale closure method
Abstract
The subgrid-scale closure method developed by Germano et al. is modified by use of a least squares technique to minimize the difference between the closure assumption and the resolved stresses. This modification removes a source of singularity and is believed to improve the method’s applicability.
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Lilly proposed application of a least square technique to minimize the difference between resolved turbulence stresses and its closure model.
“Lilly [235] proposed the application of a least square technique to minimize the difference between the resolved turbulence stresses and its closure model, trying to minimize the error using a least-square approach.”
From Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review (2022) · cites this paper as [235]
Cites
A dynamic subgrid–scale eddy viscosity model
Germano, M., Piomelli, U., Moin, P., & Cabot, W. H. (1991) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.857955 · Cited by 7,305 · see citing works
A numerical study of three-dimensional turbulent channel flow at large Reynolds numbers
Deardorff, J. W. (1970) · Journal of Fluid Mechanics · doi:10.1017/s0022112070000691 · Cited by 2,007 · see citing works
A dynamic subgrid-scale model for compressible turbulence and scalar transport
Moin, P., Squires, K. D., Cabot, W. H., & Lee, S. (1991) · Physics of Fluids A Fluid Dynamics · doi:10.1063/1.858164 · Cited by 1,570 · see citing works
On the magnitude of the subgrid scale eddy coefficient
Deardorff, J. W. (1971) · Journal of Computational Physics · doi:10.1016/0021-9991(71)90053-2 · Cited by 269 · see citing works
Smagorinsky (1963) · doi:10.1175/1520-0493(1963)091
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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 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
Modeling and Simulation of Photobioreactors with Computational Fluid Dynamics—A Comprehensive Review
Luzi, G., & McHardy, C. (2022) · Energies · doi:10.3390/en15113966 · Cited by 44 · see citing works
- Authors
- Lilly, D. K.
- Affiliations
- Cooperative Institute for Mesoscale Meteorological Studies (US)
- Corresponding author
- Lilly, D. K.
- Venue
- Physics of Fluids A: Fluid Dynamics
- Publisher
- AIP Publishing
- Published
- 1992-03-01
- Volume
- 4
- Issue
- 3
- Pages
- 633-635
- ISSN
- 0899-8213 (ISSN-L)
- OpenAlex
- W2062712788
- Cited by
- 4,077
- References
- 5
- Citations by year
- 2026: 137 · 2025: 175 · 2024: 205 · 2023: 192 · 2022: 173 · 2021: 196 · 2020: 174 · 2019: 218 · 2018: 184 · 2017: 164 · 2016: 186 · 2015: 159 · 2014: 160 · 2013: 144 · 2012: 170
- FWCI
- 32.19
- Type
- journal article
- Language
- en
- 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
- subgrid-scale modeling, turbulence modeling, large eddy simulation
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