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Large Eddy Simulation composition equations for single-phase and two-phase fully multicomponent flows

Bellan, J. and Selle, L. C. (2009) Large Eddy Simulation composition equations for single-phase and two-phase fully multicomponent flows. Proceedings of the Combustion Institute, 32 (2). pp. 2239-2246. ISSN 1540-7489.

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The Large Eddy Simulation (LES) equations for multicomponent (MC) fuel single-phase (SP) flow and two-phase (TP) flow with phase change are derived from the Direct Numerical Simulation (DNS) equations by filtering the DNS equations using a top-hat filter. Additional to the equations solved for singlecomponent (SC) fuels, composition equations enter the formulation. The species composition is represented through a Probability Distribution Function (PDF), and DNS equations for the PDF moments are solved to find the composition. The TP filtered equations contain three categories of subgrid-scale (SGS) terms: (1) SGS–flux terms, (2) filtered source terms (FSTs) and (3) terms representing the ‘LES assumptions’. For SP flows no FSTs exist. The SGS terms in the LES equations must be either shown negligible or modeled. It is shown that for the composition equations, two equivalent forms of the DNS equations lead to two non-equivalent forms of the LES equations. Criteria are proposed to select the form best suited for LES. These criteria are used in conjunction with evaluations based on a DNS database portraying mixing and phase change, and lead to choosing one of the LES forms which satisfies all criteria. It is shown that the LES assumptions lead to additional SGS terms which require modeling. Further considerations are made for reactive flows.

Item Type:Article
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Funding AgencyGrant Number
Donors of The Petroleum Research FundUNSPECIFIED
Air Force Research Laboratory, Wright Patterson Air Force BaseUNSPECIFIED
Subject Keywords:Multicomponent LES equations
Issue or Number:2
Record Number:CaltechAUTHORS:20090702-094013653
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:14486
Deposited By: Lindsay Cleary
Deposited On:03 Aug 2009 20:25
Last Modified:26 Dec 2012 11:03

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