Numerical analysis of an averaged model of turbulent transport near a roughness layer
Article
Article Title | Numerical analysis of an averaged model of turbulent transport near a roughness layer |
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ERA Journal ID | 43 |
Article Category | Article |
Authors | Strunin, D. V. (Author) and Mohammed, F. J. (Author) |
Journal Title | Australian and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal |
Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal | |
Journal Citation | 53 (S), pp. C142-C154 |
Number of Pages | 13 |
Year | 2012 |
Place of Publication | Cambridge, United Kingdom |
ISSN | 1446-1811 |
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. |
Keywords | centre manifolds; turbulent boundary layer; roughness |
ANZSRC Field of Research 2020 | 401213. Turbulent flows |
490409. Ordinary differential equations, difference equations and dynamical systems | |
490109. Theoretical and applied mechanics | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Department of Mathematics and Computing |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q1q8z/numerical-analysis-of-an-averaged-model-of-turbulent-transport-near-a-roughness-layer
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