A numerical model for simulating sediment routing in shallow water flow

Diplôme Thèse A numerical model for simulating sediment routing in shallow water flow eng 2015-10-20 author Zia Haseeb 745030 director Castelltort Sébastien 0000-0002-6405-4038 761351 director Simpson Guy 653721 10.13097/archive-ouverte/unige:81865 urn:nbn:ch:unige-818659 Sc. 4855 The last few decades have seen significant efforts to model erosion, transport and deposition of sediment in flowing surface water. A wide variety of models, ranging from simple empirical models to highly sophisticated physically-based models have been presented. This thesis aims to present a physically realistic but simple model to simulate sediment routing. The model uses shallow water equations for hydrodynamics, while it is coupled with sediment conservation and transport laws to enable modification of the underlying substrate. To solve the model, I present a straightforward Riemann-solver free approach, based on the explicit non-oscillatory central differencing (NOC) scheme. The used central approach becomes excessively diffusive when applied to highly nonlinear advection problems. In this thesis, I present a correction to reduce such numerical dissipation. To test the accuracy and robustness of the scheme, I present a number of test cases and the results are compared with analytical solutions and laboratory experiments. Shallow water equations Morphodynamics Numerical modelling Erosion Deposition Dewey 550 42 Département des sciences de la Terre 154 false 672 Earth Surface Dynamics 2599c9d7-8e8b-462b-988c-ad59f6ede069 Thesis Public thesis.pdf 18851798 application/pdf openAccess Faculté des sciences / Section des sciences de la Terre et de l'Environnement / Département des sciences de la Terre

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Zia, Haseeb