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Wavelet-based adaptive large-eddy simulation of supersonic channel flow

Published online by Cambridge University Press:  25 August 2020

Giuliano De Stefano Open the ORCID record for Giuliano De Stefano [Opens in a new window] ,
Eric Brown-Dymkoski  and
Oleg V. Vasilyev Open the ORCID record for Oleg V. Vasilyev [Opens in a new window]
Giuliano De Stefano*
Affiliation:
Department of Engineering, University of Campania, Aversa, I-81031, Italy
Eric Brown-Dymkoski
Affiliation:
Space Exploration Technologies Corp. (SpaceX), Hawthorne, CA90250, USA
Oleg V. Vasilyev*
Affiliation:
Adaptive Wavelet Technologies, LLC, Superior, CO80027, USA Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, 125047, Russia
*
†Email addresses for correspondence: giuliano.destefano@unicampania.it, oleg.v.vasilyev@adaptivewavelettechnologies.com, oleg.v.vasilyev@gmail.com
†Email addresses for correspondence: giuliano.destefano@unicampania.it, oleg.v.vasilyev@adaptivewavelettechnologies.com, oleg.v.vasilyev@gmail.com
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Abstract

The wavelet-based adaptive large-eddy simulation method is extended for computational modelling of compressible wall-bounded attached turbulent flows. The wavelet-threshold filtered compressible Navier–Stokes equations are derived. The unclosed terms in the governing equations are approximated by using eddy-viscosity and eddy-conductivity modelling procedures based on the anisotropic minimum-dissipation approach. The proposed filtering procedure is integrated with the adaptive anisotropic wavelet collocation method, which allows for the appropriate mesh stretching in the wall-normal direction. The performance of the method is assessed by conducting adaptive numerical simulations of fully developed supersonic flow in a plane channel with isothermal walls, which represents a well-established benchmark for wall-bounded turbulent compressible flows. The present results demonstrate both the feasibility and the effectiveness of the novel wavelet-based adaptive method in the high-speed compressible regime, showing good agreement with reference numerical solutions.

JFM classification

Turbulent Flows: Compressible turbulence Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence simulation

Information

Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 901 , 25 October 2020 , A13
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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