Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution
Article
Article Title | Higher-order approximation of contaminant transport equation for turbulent channel flows based on centre manifolds and its numerical solution |
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ERA Journal ID | 1949 |
Article Category | Article |
Authors | Ngo-Cong, D. (Author), Mohammed, F. J. (Author), Strunin, D. V. (Author), Skvortsov, A. T. (Author), Mai-Duy, N. (Author) and Tran-Cong, T. (Author) |
Journal Title | Journal of Hydrology |
Journal Citation | 525, pp. 87-101 |
Number of Pages | 15 |
Year | 2015 |
Publisher | Elsevier |
ISSN | 0022-1694 |
Digital Object Identifier (DOI) | https://doi.org/10.1016/j.jhydrol.2015.03.038 |
Abstract | The contaminant transport process governed by the advection–diffusion equation plays an important role in modelling industrial and environmental flows. In this article, our aim is to accurately reduce the 2-D advection–diffusion equation governing the dispersion of a contaminant in a turbulent open channel flow to its 1-D approximation. The 1-D model helps to quickly estimate the horizontal size of contaminant clouds based on the values of the model coefficients. We derive these coefficients analytically and investigate numerically the model convergence. The derivation is based on the centre manifold theory to |
Keywords | contaminant transport; turbulent dispersion; open channel flow; centre manifolds; integrated radial basis functions; high-order approximation |
ANZSRC Field of Research 2020 | 490303. Numerical solution of differential and integral equations |
490399. Numerical and computational mathematics not elsewhere classified | |
Public Notes | Files associated with this item cannot be displayed due to copyright restrictions. |
Byline Affiliations | Computational Engineering and Science Research Centre |
Department of Defence, Australia | |
Institution of Origin | University of Southern Queensland |
https://research.usq.edu.au/item/q329v/higher-order-approximation-of-contaminant-transport-equation-for-turbulent-channel-flows-based-on-centre-manifolds-and-its-numerical-solution
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