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Analysis of High-order Explicit LES Dynamic Modeling Applied to Airfoil Flows

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Abstract

A high-order low dissipative numerical framework is discussed to tackle simultaneously the modeling of unresolved sub-grid scale flow turbulence and the capturing of shock waves. The flows around two different airfoil profiles are simulated using a Spectral Difference discretisation scheme. First, a transitional, almost incompressible, low Reynolds number flow over a Selig-Donovan 7003 airfoil. Second, a high Reynolds number flow over a RAE2822 airfoil under transonic conditions. These flows feature both laminar and turbulent flow physics and are thus particularly challenging for turbulence sub-grid scale modeling. The accuracy of the recently developed Spectral Element Dynamic Model, specifically capable of detecting spatial under-resolution in high-order flow simulations, is evaluated. Concerning the test in transonic conditions, the additional complexity due to the presence of shock waves has been handled using an artificial viscosity shock-capturing technique based on bulk viscosity. To mitigate the impact of the shock-capturing on turbulence dissipation, it was necessary to combine the high-order modal-type shock detection with a usual sensor measuring the local flow compressibility.

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Acknowledgements

The use of the SD solver originally developed by Antony Jameson’s group at Stanford University is gratefully acknowledged. This work was granted access to the high-performance computing resources of CRIANN.

Funding

The PhD scholarship of the first author is founded by the University of Rouen Normandie. Financial support to the second and third authors was provided by ANR under grant number ANR-18-CE05-0030.

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  1. Normandie Université, CNRS, INSA et Université de Rouen, CORIA UMR6614, 675 Avenue de l’Université, 76801, St. Etienne du Rouvray, France

    Niccolò Tonicello, Guido Lodato & Luc Vervisch

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  1. Niccolò Tonicello
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Tonicello, N., Lodato, G. & Vervisch, L. Analysis of High-order Explicit LES Dynamic Modeling Applied to Airfoil Flows. Flow Turbulence Combust 108, 77–104 (2022). https://doi.org/10.1007/s10494-021-00273-y

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