The MIIS Eprints Archive

Time domain simulations of dynamic river networks

Lange, Tony and Banda, M. K. and Ngnotchouye, J.-M. T. (2008) Time domain simulations of dynamic river networks. [Study Group Report]



The problem of simulating a river network is considered. A river network is considered to comprise of rivers, dams/lakes as well as weirs. We suggest a numerical approach with specific features that enable the correct representation of these assets. For each river the flow of water is described by the shallow water equations which is a system of hyperbolic partial differential equations and at the junctions of the rivers, suitable coupling conditions, viewed as interior boundary conditions are used to couple the dynamics. A different model for the dams is also presented. Numerical test cases are presented which show that the model is able to reproduce the expected dynamics of the system.

Other aspects of the modelling such as rainfall, run-off, overflow/flooding, evaporation, absorption/seepage, bed-slopes, bed friction have not been incorporated in the model due to their specific nature.

Item Type:Study Group Report
Problem Sectors:None/Other
Study Groups:Mathematics in Industry Study Groups in South Africa > MISGSA 2008: University of the Witwatersrand (Jan 28-Feb 1, 2008)
Company Name:Optin, Optimal and Intelligent Solutions
ID Code:291
Deposited By: Dr Kamel Bentahar
Deposited On:18 Mar 2010 16:57
Last Modified:29 May 2015 19:54

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