Bae, H. J. and Lozano-Durán, A. (2018) DNS-aided explicitly filtered LES of channel flow. Annual Research Briefs . pp. 197-207. PMCID PMC6800716. https://resolver.caltech.edu/CaltechAUTHORS:20210315-113839281
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Abstract
The equations for large-eddy simulation (LES) are formally derived by applying a low-pass filter to the Navier–Stokes (NS) equations (Leonard 1975). However, in most numerical simulations, no explicit filter form is specified, and the computational grid and the low-pass characteristics of the discrete differentiation operators act as an effective implicit filter. The resulting velocity field is then assumed to be representative of the filtered velocity. Although the discrete operators have a low-pass filtering effect, the associated filter acts only in the single spatial direction in which the derivative is applied (Lund 2003); thus each term in the NS equations takes on a different filter form. In addition, numerical errors and the frequency content are uncontrolled for the implicit filter approach, and the solutions are grid dependent (Kravchenko & Moin 2000; Meyers & Sagaut 2007).
Item Type: | Article | |||||||||
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Alternate Title: | DNS-aided explicitly filtered LES | |||||||||
Additional Information: | © 2018 Stanford University. This work was supported by NASA under the Transformative Aeronautics Concepts Program, Grant No. NNX15AU93A. | |||||||||
Group: | GALCIT | |||||||||
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PubMed Central ID: | PMC6800716 | |||||||||
Record Number: | CaltechAUTHORS:20210315-113839281 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210315-113839281 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 108434 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Tony Diaz | |||||||||
Deposited On: | 19 Mar 2021 01:00 | |||||||||
Last Modified: | 19 Mar 2021 20:44 |
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