Mesh convergence for  turbulent combustion

Xiaoxue  Gong; Ying  Xu; Vinay  Mahadeo; Tulin  Kaman; Johan  Larsson; James  Glimm

doi:10.3934/dcds.2016.36.4383

Article Contents

2016, Volume 36, Issue 8: 4383-4402. Doi: 10.3934/dcds.2016.36.4383

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Mesh convergence for turbulent combustion

1.
Department of Applied Mathematics and Statistics, Stony Brook University, Stony Brook, NY 11794-3600
2.
Department of Computer Science, ETH Zurich
3.
Department of Mechanical Engineering, University of Maryland, College Park, MD 20742

Received: May 31, 2015

Revised: September 30, 2015

Published: May 2017

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Abstract

Our central result is a methodology for predicting mesh convergence for three dimensional (3D) turbulent combustion simulations, based on less expensive one dimensional (1D) and two dimensional (2D) simulations. We verify the prediction by comparison to a 3D finite rate chemistry simulation based on a reduced reaction mechanism, and we further verify it by comparison to a completely independent simulation of the same problem. We validate our simulation by comparison to experiment. Additionally, we assess grid requirements for finite rate chemistry with more detailed chemical reaction mechanism. In both cases, the test problem is an engineering scale study of a model scramjet combustor designed by Gamba et al. We find that the mesh requirements are not feasible for finite rate chemistry simulations of engineering scale problems with detailed reaction mechanism, as expected, but these criteria are less severe than the Kolmogorov scale.

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Mathematics Subject Classification: Primary: 76N, 76J.

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