Flow, Turbulence and Combustion

, Volume 72, Issue 1, pp 1–27

Large Eddy Simulation of Premixed Turbulent Combustion Using Ξ Flame Surface Wrinkling Model

Authors

  • G. Tabor
    • School of Engineering, Computer Science and Mathematics, Harrison BuildingUniversity of Exeter
  • H.G. Weller
    • Nabla Ltd.The Mews, Picketts Lodge
Article

DOI: 10.1023/B:APPL.0000014910.06345.fb

Cite this article as:
Tabor, G. & Weller, H. Flow, Turbulence and Combustion (2004) 72: 1. doi:10.1023/B:APPL.0000014910.06345.fb
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Abstract

One commonly-used method for deriving the RANS equations for multicomponent flow is the technique of conditional averaging. In this paper the concept is extended to LES, by introducing the operations of conditional filtering and surface filtering. Properties of the filtered indicator function \(\bar b\) are investigated mathematically and computationally. These techniques are then used to derive conditionally filtered versions of the Navier–Stokes equations which are appropriate for simulating multicomponent flow in LES. Transport equations for the favre-averaged indicator function \(\bar b\) and the unresolved interface properties (the wrinkling and the surface area per unit volume) are also derived. Since the paper is directed towards modelling premixed combustion in the flamelet regime, closure of the equations is achieved by introducing physical models based on the picture of the flame as a wrinkled surface separating burnt and unburnt components of the fluid. This leads to a set of models for premixed turbulent combustion of varying complexity. The results of applying one of this set of models to propagation of a spherical flame in isotropic homogeneous turbulence are analysed.

Large Eddy Simulationpremixed turbulent combustion

Copyright information

© Kluwer Academic Publishers 2004