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Analysis of mild ignition in a shock tube using a highly resolved 3D-LES and high-order shock-capturing schemes

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Abstract

A highly resolved three-dimensional large-eddy simulation (LES) is presented for a shock tube containing a stoichiometric hydrogen–oxygen (\(\hbox {H}_2\)/\(\hbox {O}_2\)) mixture, and the results are compared against experimental results. A parametric study is conducted to test the effects of grid resolution, numerical scheme, and initial conditions before the 3D simulations are presented in detail. An approximate Riemann solver and a high-order interpolation scheme are used to solve the conservation equations of the viscous, compressible fluid and to account for turbulence behind the reflected shock. Chemical source terms are calculated by a finite-rate model. Simultaneous results of pseudo-Schlieren, temperature, pressure, and species are presented. The ignition delay time is predicted in agreement with the experiments by the three-dimensional simulations. The mechanism of mild ignition is analysed by Lagrangian tracer particles, tracking temperature histories of material particles. We observed strongly increased temperatures in the core region away from the end wall, explaining the very early occurrence of mild ignition in this case.

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Acknowledgements

The authors gratefully acknowledge the financial support by DFG Grant KE 1751/8-1, the computing time on magnitUDE granted by the Center for Computational Sciences and Simulation of the Universität of Duisburg-Essen through DFG INST 20876/209-1 FUGG, INST 20876/243-1 FUGG at the Zentrum für Informations- und Mediendienste, and the computing time on the supercomputer HazelHen (ACID 44116). We also want to thank Elaine Oran for inspiring discussions that improved the paper.

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  1. Fluid Dynamics, IVG, University of Duisburg-Essen, Carl-Benz Straße, Duisburg, Germany

    J. T. Lipkowicz, I. Wlokas & A. M. Kempf

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  1. J. T. Lipkowicz
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Correspondence to J. T. Lipkowicz.

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Communicated by D. Zeitoun and A. Higgins.

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Lipkowicz, J.T., Wlokas, I. & Kempf, A.M. Analysis of mild ignition in a shock tube using a highly resolved 3D-LES and high-order shock-capturing schemes. Shock Waves 29, 511–521 (2019). https://doi.org/10.1007/s00193-018-0867-4

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