eprintid: 291 rev_number: 9 eprint_status: archive userid: 7 dir: disk0/00/00/02/91 datestamp: 2010-03-18 16:57:50 lastmod: 2015-05-29 19:54:50 status_changed: 2010-03-18 16:57:50 type: report metadata_visibility: show item_issues_count: 0 creators_name: Lange, Tony creators_name: Banda, M. K. creators_name: Ngnotchouye, J.-M. T. corp_creators: Tony Lange title: Time domain simulations of dynamic river networks ispublished: pub subjects: other studygroups: misgsa5 companyname: Optin, Optimal and Intelligent Solutions full_text_status: public abstract: 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. date: 2008 related_url_url: http://web.wits.ac.za/NewsRoom/Conferences/MISGSA2009/Outcomes.htm citation: Lange, Tony and Banda, M. K. and Ngnotchouye, J.-M. T. (2008) Time domain simulations of dynamic river networks. [Study Group Report] document_url: http://miis.maths.ox.ac.uk/miis/291/1/timedomainsimulations.pdf