Numerical analysis of an averaged model of turbulent transport near a roughness layer

Article

Strunin, D. V. and Mohammed, F. J.. 2012. "Numerical analysis of an averaged model of turbulent transport near a roughness layer." Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal. 53 (S), pp. C142-C154.
Article Title

Numerical analysis of an averaged model of turbulent transport near a roughness layer

ERA Journal ID43
Article CategoryArticle
AuthorsStrunin, D. V. (Author) and Mohammed, F. J. (Author)
Journal TitleAustralian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal
Journal Citation53 (S), pp. C142-C154
Number of Pages13
Year2012
Place of PublicationCambridge, United Kingdom
ISSN1446-1811
1446-8735
Web Address (URL)http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/5071
Abstract

We formulate and numerically analyse the averaged model of dispersion in turbulent canopy flows. The averaging is carried out across the flow, for example over the river depth. To perform the averaging, we use the general approach suggested by Roberts and co-authors in the late 1980s, which is based on centre manifold theory. We derive an evolution partial differential equation for the depth-averaged concentration, involving first-, second- and higher-order derivatives with respect to the downstream coordinate. The coefficients of the equation are expressed in terms of the parameters characterising the turbulent flow. Preliminary numerical results are demonstrated. In particular, it is shown that the advection and diffusion coefficients coincide with their values obtained earlier for the flow over a smooth bottom in the limit of large depths.

Keywordscentre manifolds; turbulent boundary layer; roughness
ANZSRC Field of Research 2020401213. Turbulent flows
490409. Ordinary differential equations, difference equations and dynamical systems
490109. Theoretical and applied mechanics
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Byline AffiliationsDepartment of Mathematics and Computing
Institution of OriginUniversity of Southern Queensland
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