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On primitive variable behaviour near shocks in ensemble-averaged methods

Braun, N. O. and Gore, R. A. (2018) On primitive variable behaviour near shocks in ensemble-averaged methods. Journal of Turbulence, 19 (10). pp. 868-888. ISSN 1468-5248.

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Models for averaged shock corrugation effects and the impact of turbulent entropy or acoustic modes on the energy equation are presented, for application in Reynolds-Averaged Navier Stokes(RANS) simulations of shock-turbulence interactions. Unlike previous work that has focused the modification of turbulent statistics by the shock, the proposed models are introduced to capture the effects of the turbulence on the profiles of primitive variables - mean density, velocity, and pressure. By producing accurate profiles for the primitive variables, it is shown that the proposed models improve numerical convergence behaviour with mesh refinement about a shock, and introduce the physical effects of shock asphericity in a converging shock geometry. These effects are achieved by local closures to turbulent statistics in the averaged Navier-Stokes equations, and can be applied in conjunction with existing Reynolds stress closures that have been constructed for broader applications beyond shock-turbulence interactions.

Item Type:Article
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Braun, N. O.0000-0002-9710-0686
Additional Information:© 2018 Informa UK Limited, trading as Taylor & Francis Group. Received 10 Oct 2017, Accepted 05 Sep 2018, Published online: 20 Sep 2018. The authors would also like to acknowledge useful discussions with D. Livescu and R. Ristorcelli. No potential conflict of interest was reported by the authors.
Subject Keywords:Turbulence modelling: Reynolds averaged, supersonic turbulent flows, compressible turbulence, Reynolds averaged Navier-stokes
Issue or Number:10
Record Number:CaltechAUTHORS:20181017-151902489
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Official Citation:N. O. Braun & R. A. Gore (2018) On primitive variable behaviour near shocks in ensemble-averaged methods, Journal of Turbulence, 19:10, 868-888, DOI: 10.1080/14685248.2018.1524150
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90310
Deposited By: Tony Diaz
Deposited On:18 Oct 2018 16:43
Last Modified:09 Mar 2020 13:18

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