Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method

Mohammed, F. J. and Ngo-Cong, D. and Strunin, D. V. and Mai-Duy, N. and Tran-Cong, T. (2014) Modelling dispersion in laminar and turbulent flows in an open channel based on centre manifolds using 1D-IRBFN method. Applied Mathematical Modelling, 38 (14). pp. 3672-3691. ISSN 0307-904X

[img]
Preview
Text (Submitted Version)
AMM-paper.pdf

Download (749Kb) | Preview

Abstract

Centre manifold method is an accurate approach for analytically constructing an advection-diffusion equation (and even more accurate equations involving higher-order derivatives) for the depth-averaged concentration of substances in channels. This paper presents a direct numerical verification of this method with examples of the dispersion in laminar and turbulent flows in an open channel with a smooth bottom. The one-dimensional integrated
radial basis function network (1D-IRBFN) method is used as a numerical approach to obtain a numerical solution for the original two-dimensional (2-D) advection-diffusion equation. The 2-D solution is depth-averaged and compared with the solution of the 1-D equation derived using the centre manifolds. The numerical results show that the 2-D and 1-D solutions are in good agreement both for the laminar flow and turbulent flow. The maximum depth-averaged concentrations for the 1-D and 2-D models gradually converge to each other, with their velocities becoming practically equal. The obtained numerical results also demonstrate that the longitudinal diffusion
can be neglected compared to the advection.


Statistics for USQ ePrint 24903
Statistics for this ePrint Item
Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: © 2014 Elsevier Inc. Published version deposited in accordance with the copyright policy of the publisher.
Faculty / Department / School: Current - Faculty of Health, Engineering and Sciences - School of Agricultural, Computational and Environmental Sciences
Date Deposited: 18 Jun 2014 00:06
Last Modified: 08 Mar 2017 05:17
Uncontrolled Keywords: dispersion; open channel flow; centre manifolds; integrated radial basis function; numerical method
Fields of Research : 09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
01 Mathematical Sciences > 0102 Applied Mathematics > 010207 Theoretical and Applied Mechanics
01 Mathematical Sciences > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970105 Expanding Knowledge in the Environmental Sciences
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
Identification Number or DOI: 10.1016/j.apm.2013.12.007
URI: http://eprints.usq.edu.au/id/eprint/24903

Actions (login required)

View Item Archive Repository Staff Only