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Synthetic Freestream Disturbance for the Numerical Reproduction of Experimental Zero-Pressure-Gradient Bypass Transition Test Cases

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Abstract

The present work introduces a means of forcing bypass transition within a zero-pressure-gradient smooth flat-plate boundary layer (ZPGSFPBL), suitable for DNS or LES computations for reproducing experimental datasets. In this type of bypass transition, one of the means of forcing transition within the boundary layer is via the introduction of a specific disturbance along the inflow boundary. Following this principle, the current method, introduces synthetic turbulence, generated by the method of Klein et al. (J. Comput. Phys. 186(2), 652–665, 2003), at the inflow, a certain height above the boundary layer, thereby confining it within the freestream. The principle parameter which dictates the transition behaviour is the height above the boundary layer at which the freestream turbulence is injected. By adjusting this parameter, as well as the integral length-scale and the intensity (either estimated or known a priori from experiments), ILES computations providing good agreement with experimental data sets can be achieved upon a variety of grids. This procedure has been validated upon the ERCOFTAC T3A experimental test case (freestream turbulent intensity of 3%), where good matching is achieved on streamwise quantities like skin-friction coefficient, shape factor, boundary layer thickness and fluctuating velocity growth rates as well as for profiles of mean velocity and fluctuating velocities in the wall-normal direction.

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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 within the framework of the BIOENGINE Project through the European Funds of Regional Development (FEDER) under grant number HN0002485. Financial support to the second author was provided by ANR under grant number ANR-14-CE05-0029 and FRAE under grant number 14-CE05-0029-FN.

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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

    Brijesh Pinto & Guido Lodato

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  1. Brijesh Pinto
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Correspondence to Brijesh Pinto.

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Pinto, B., Lodato, G. Synthetic Freestream Disturbance for the Numerical Reproduction of Experimental Zero-Pressure-Gradient Bypass Transition Test Cases. Flow Turbulence Combust 103, 25–54 (2019). https://doi.org/10.1007/s10494-018-0004-6

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