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Wavelet-based adaptive delayed detached eddy simulations for wall-bounded compressible turbulent flows

Published online by Cambridge University Press:  01 July 2019

Xuan Ge ,
Oleg V. Vasilyev Open the ORCID record for Oleg V. Vasilyev [Opens in a new window]  and
M. Yousuff Hussaini
Xuan Ge
Affiliation:
Florida State University, Tallahassee, FL 32306, USA
Oleg V. Vasilyev*
Affiliation:
Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow 125047, Russia Adaptive Wavelet Technologies, LLC, Superior, CO 80027, USA
M. Yousuff Hussaini
Affiliation:
Florida State University, Tallahassee, FL 32306, USA
*
†Email addresses for correspondence: Oleg.V.Vasilyev@AdaptiveWaveletTechnologies.com, Oleg.V.Vasilyev@gmail.com
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Abstract

A novel wavelet-based adaptive delayed detached eddy simulation (W-DDES) approach for simulations of wall-bounded compressible turbulent flows is proposed. The new approach utilizes anisotropic wavelet-based mesh refinement and its effectiveness is demonstrated for flow simulations using the Spalart–Allmaras DDES model. A variable wavelet thresholding strategy blending two distinct thresholds for the Reynolds-averaged Navier–Stokes (RANS) and large-eddy simulation (LES) regimes is used. A novel mesh adaptation on mean and fluctuating quantities with different wavelet threshold levels is proposed. The new strategy is more accurate and efficient compared to the adaptation on instantaneous quantities using a priori defined uniform thresholds. The effectiveness of the W-DDES method is demonstrated by comparing the results of the W-DDES simulations with results already available in the literature. Supersonic plane channel flow for two different configurations is tested as benchmark wall-bounded flows. Both the accuracy indicated by the threshold and efficiency in terms of degrees of freedom for the novel adaptation strategy are successfully gained compared with the wavelet-based adaptive LES method. Moreover, the newly proposed W-DDES resolves the typical log-layer match issue encountered in the conventional non-adaptive DDES method mainly due to the use of wavelet-based adaptive mesh refinement. The W-DDES capability for simulations of complex turbulent flows is validated by two other flow configurations – a subsonic channel flow with periodic hill constrictions and a supersonic flow over a compression ramp inducing the shock wave–turbulent boundary layer interaction. The current study serves as a crucial step towards construction of a unified wavelet-based adaptive hierarchical RANS/LES modelling framework, capable of performing simulations of varying fidelities from no-modelling direct numerical simulations to full-modelling RANS simulations.

JFM classification

Mathematical Foundations: Computational methods Turbulent Flows: Turbulence modelling Turbulent Flows: Turbulence simulation
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 873 , 25 August 2019 , pp. 1116 - 1157
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Copyright
© 2019 Cambridge University Press 

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