Global numerical prediction of bursting frequency in turbulent boundary layers

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.

Citation

Liou, W.W., Fang, Y. and Baty, R.S. (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