Stochastically generated turbulence for wall bounded flows

Richard Jones, Con Doolan, Michael Teubner

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    An efficient stochastic method is applied to the problem of modelling unsteady turbulent velocity fluctuations within a turbulent flat plate boundary layer. White noise is spatially and temporarily convoluted by the time averaged Reynolds stress tensor and dissipation. The convolutions are conducted such that mean turbulent properties are reproduced and the spectral distribution of turbulent kinetic energy closely matches expected profiles. Wall bounded turbulent flow induces elevated levels of broadband aeroacoustic noise, especially near a sharp edge such as an airfoil trailing edge. In practice, the stochastic method of generating turbulent fluctuations may be used directly to produce turbulent noise sources for further aeroacoustic analysis, thus avoiding costly time dependent simulations of the Navier-Stokes equations.

    Original languageEnglish
    Pages (from-to)C541-C554
    Number of pages14
    JournalAustralian and New Zealand Industrial and Applied Mathematics Journal
    Volume51
    Issue numberSUPPL.
    Publication statusPublished - 2009

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