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Large-Eddy Simulation of Bypass Transition on a Zero-Pressure-Gradient Flat Plate Using the Spectral-Element Dynamic Model

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Abstract

The present paper deals with the large-eddy simulation (LES) of a zero-pressure-gradient smooth flat-plate boundary layer undergoing bypass transition due to the presence of freestream turbulence of intensity around \(3.0\%\). Transition has been achieved by the introduction of synthetic turbulence into the freestream in a manner designed to invoke a behaviour closely resembling that of the ERCOFTAC T3A experiment. We make use of the spectral-element dynamic model (SEDM), implemented within the framework of a high-order spectral-difference solver, to carry out LES upon several sets of computational grids. Furthermore, comparisons against several other well known models such as the WALE and SIGMA model, are performed and presented in addition to implicit-LES (ILES). Our results show that the SEDM inputs relatively minor levels of dissipation into the pre-transitional region. This allows the fluctuating stresses to grow unhindered, until the critical amplitude, required for transition to occur, is reached. Furthermore, within the transitional region, the eddy-viscosity is dominant near the wall and not at the interface between the freestream and boundary layer where the breakdown mechanism predominates. The rapid grid convergence properties of the SEDM, demonstrated in this work, make them well-suited for use in conjunction with other high-order schemes.

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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 HPC resources of IDRIS-CNRS under the allocation i2016-2a7361 made by GENCI (Grand Equipement National de Calcul Intensif). The Haute Normandie Computing center CRIANN is also acknowledged.

Funding

Financial support to the first author was provided by ANR under grant number ANR-14-CE05-0029 and FRAE under grant number 14-CE05-0029-FN. The PhD scholarship of the second author is founded by the University of Rouen Normandie. Financial support to the third author was provided within the framework of the BIOENGINE Project through the European Funds of Regional Development (FEDER) under grant number HN 0002485

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Authors and Affiliations

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

    Guido Lodato, Niccolò Tonicello & Brijesh Pinto

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  1. Guido Lodato
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  2. Niccolò Tonicello
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  3. Brijesh Pinto
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Correspondence to Guido Lodato.

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Lodato, G., Tonicello, N. & Pinto, B. Large-Eddy Simulation of Bypass Transition on a Zero-Pressure-Gradient Flat Plate Using the Spectral-Element Dynamic Model. Flow Turbulence Combust 107, 845–874 (2021). https://doi.org/10.1007/s10494-021-00262-1

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