Hydrodynamic instabilities in gaseous detonations: comparison of Euler, Navier–Stokes, and large-eddy simulation

Mahmoudi, Y., Karimi, N. , Deiterding, R. and Emami, S. (2014) Hydrodynamic instabilities in gaseous detonations: comparison of Euler, Navier–Stokes, and large-eddy simulation. Journal of Propulsion and Power, 30(2), pp. 384-396. (doi: 10.2514/1.B34986)

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Abstract

A large-eddy simulation is conducted to investigate the transient structure of an unstable detonation wave in two dimensions and the evolution of intrinsic hydrodynamic instabilities. The dependency of the detonation structure on the grid resolution is investigated, and the structures obtained by large-eddy simulation are compared with the predictions from solving the Euler and Navier–Stokes equations directly. The results indicate that to predict irregular detonation structures in agreement with experimental observations the vorticity generation and dissipation in small scale structures should be taken into account. Thus, large-eddy simulation with high grid resolution is required. In a low grid resolution scenario, in which numerical diffusion dominates, the structures obtained by solving the Euler or Navier–Stokes equations and large-eddy simulation are qualitatively similar. When high grid resolution is employed, the detonation structures obtained by solving the Euler or Navier–Stokes equations directly are roughly similar yet equally in disagreement with the experimental results. For high grid resolution, only the large-eddy simulation predicts detonation substructures correctly, a fact that is attributed to the increased dissipation provided by the subgrid scale model. Specific to the investigated configuration, major differences are observed in the occurrence of unreacted gas pockets in the high-resolution Euler and Navier–Stokes computations, which appear to be fully combusted when large-eddy simulation is employed.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Karimi, Dr Nader
Authors: Mahmoudi, Y., Karimi, N., Deiterding, R., and Emami, S.
College/School:College of Science and Engineering > School of Engineering > Systems Power and Energy
Journal Name:Journal of Propulsion and Power
Publisher:American Institute of Aeronautics and Astronautics
ISSN:0748-4658
ISSN (Online):1533-3876
Copyright Holders:Copyright © 2013 by the American Institute of Aeronautics and Astronautics, Inc
First Published:First published in Journal of Propulsion and Power 30(2):384-396
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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