Global numerical prediction of bursting frequency in turbulent boundary layers

William W. Liou (Department of Mechanical and Aeronatical Engineering, Western Michigan University, Kalamazoo, USA)
Yichuan Fang (Department of Mechanical and Aeronatical Engineering, Western Michigan University, Kalamazoo, USA)
Roy S. Baty (Sandia National Laboratories, Albuquerque, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Publication date: 1 December 2000

Abstract

The frequencies of the bursting events associated with the streamwise coherent structures of spatially developing incompressible turbulent boundary layers were predicted. The structures were modeled as wavelike disturbances associated with the turbulent mean flow using a direct‐resonance theory. Global numerical solutions for the resonant eigenmodes of the Orr‐Sommerfeld and the vertical vorticity equations were developed. The global method involves the use of second and fourth order accurate finite difference formulae for the differential equations as well as the boundary conditions. The predicted resonance frequencies were found to agree very well with previous results using a local shooting technique and measured data.

Keywords

Citation

Liou, W., Fang, Y. and Baty, R. (2000), "Global numerical prediction of bursting frequency in turbulent boundary layers", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 10 No. 8, pp. 862-877. https://doi.org/10.1108/09615530010359148

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Publisher

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MCB UP Ltd

Copyright © 2000, MCB UP Limited

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