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Partially-Averaged Navier-Stokes Model for Turbulence: A Reynolds-Averaged Navier-Stokes to Direct Numerical Simulation Bridging Method
Abstract
A turbulence bridging method purported for any filter-width or scale resolution—fully averaged to completely resolved—is developed. The method is given the name partially averaged Navier-Stokes (PANS) method. In PANS, the model filter width (extent of partial averaging) is controlled through two parameters: the unresolved-to-total ratios of kinetic energy (fk) and dissipation (fε). The PANS closure model is derived formally from the Reynolds-averaged Navier-Stokes (RANS) model equations by addressing the following question: if RANS represents the closure for fully averaged statistics, what is the corresponding closure for partially averaged statistics? The PANS equations vary smoothly from RANS equations to Navier-Stokes (direct numerical simulation) equations, depending on the values of the filter-width control parameters. Preliminary results are very encouraging.
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Citations
Cites
Turbulence: the filtering approach
Germano, M. (1992) · Journal of Fluid Mechanics · doi:10.1017/s0022112092001733 · Cited by 1,141
Detached-Eddy Simulations Past a Circular Cylinder
Travin, A., Shur, M., Strelets, M., & Spalart, P. (2000) · Flow, Turbulence and Combustion · doi:10.1023/a:1009901401183 · Cited by 621
Trends in turbulence treatments
Spalart, P. (2000) · Fluids 2000 Conference and Exhibit · doi:10.2514/6.2000-2306 · Cited by 266
Multiple-time-scale modeling of turbulent flows in one-point closures
Schiestel, R. (1987) · The Physics of Fluids · doi:10.1063/1.866322 · Cited by 159
Cited by
Zhou, Y., Zhao, C., Ji, B., & Bo, H. (2021) · Industrial & Engineering Chemistry Research · doi:10.1021/acs.iecr.0c05470 · Cited by 8
Metadata
- Authors
- Girimaji, S. S.
- Venue
- Journal of Applied Mechanics
- Publisher
- ASME International
- Published
- 2005-11-08
- Volume
- 73
- Issue
- 3
- Pages
- 413-421
- ISSN
- 0021-8936 (ISSN-L)
- 1528-9036
- OpenAlex
- W1967483301
- Cited by
- 531
- References
- 4
- FWCI
- 6.45
- Type
- journal article
- Language
- en
- Open access
- closed
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