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Novel Subgrid Modeling of the LES Equations Under Supercritical Pressure

Selle, Laurent C. and Bellan, Josette and Harstad, Kenneth G. (2007) Novel Subgrid Modeling of the LES Equations Under Supercritical Pressure. In: 45th AIAA Aerospace Sciences Meeting and Exhibit. American Institute of Aeronautics and Astronautics , Reston, VA, Art. No. 2007-568. ISBN 978-1-62410-012-3.

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Transitional states obtained from Direct Numerical Simulation (DNS) of a supercritical mixing layer are analyzed for studying small-scale behavior and assessing the ability of Subgrid Scale (SGS) models to duplicate that behavior. Initially, the mixing layer contains a single chemical species in each of the two streams, and a perturbation promotes rollup and a double pairing of the four spanwise vortices initially present. The database encompasses three combinations of chemical species, several perturbation wavelengths and amplitudes, and several initial Reynolds numbers specifically chosen for the sole purpose of achieving transition. The Large Eddy Simulation (LES) equations are derived from the DNS ones through filtering. This filtering leads to two types of additional terms in the LES compared to the DNS equations : SGS fluxes and other terms for which either assumptions or models are necessary. The magnitude of all terms in the LES conservation equations is analyzed on the DNS database, with special attention to terms that could possibly be neglected. It is shown that in contrast to atmospheric-pressure gaseous flows, there are two new terms that must be modeled: one in each of the momentum and the energy equations. Discussed is a model for the momentum-equation additional term. This model performs well at small filter size but deteriorates as the filter size increases, highlighting the necessity of ensuring appropriate grid resolution in LES.

Item Type:Book Section
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Bellan, Josette0000-0001-9218-7017
Additional Information:© 2007 by California Institute of Technology. Published by the American Institute of Aeronautics and Astronautics, Inc., with permission.
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AIAA Paper2007-568
Record Number:CaltechAUTHORS:20200506-071823327
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Official Citation:Novel Subgrid Modeling of the LES Equations Under Supercritical Pressure. Laurent Selle, Josette Bellan, and Kenneth Harstad. 45th AIAA Aerospace Sciences Meeting and Exhibit. January 2007; doi: 10.2514/6.2007-568
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:103013
Deposited By: Tony Diaz
Deposited On:06 May 2020 16:18
Last Modified:16 Nov 2021 18:17

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