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Bathymetry Development and Flow Analyses Using Two-Dimensional Numerical Modeling Approach for Lake Victoria

1
Department of Sustainable Development, Environmental Science and Engineering, Division of Resources, Energy and Infrastructure, KTH Royal Institute of Technology, 10044 Stockholm, Sweden
2
Department of Mathematics, Makerere University, Kampala 7062, Uganda
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Author to whom correspondence should be addressed.
Fluids 2019, 4(4), 182; https://doi.org/10.3390/fluids4040182
Received: 27 June 2019 / Revised: 2 October 2019 / Accepted: 5 October 2019 / Published: 10 October 2019
This study explored two-dimensional (2D) numerical hydrodynamic model simulations of Lake Victoria. Several methods were developed in Matlab to build the lake topography. Old depth soundings taken in smaller parts of the lake were combined with more recent extensive data to produce a smooth topographical model. The lake free surface numerical model in the COMSOL Multiphysics (CM) software was implemented using bathymetry and vertically integrated 2D shallow water equations. Validated by measurements of mean lake water level, the model predicted very low mean flow speeds and was thus close to being linear and time invariant, allowing long-time simulations with low-pass filtered inflow data. An outflow boundary condition allowed an accurate simulation to achieve the lake’s steady state level. The numerical accuracy of the linear measurement of lake water level was excellent. View Full-Text
Keywords: methods of lake bathymetry; shallow water equations; lake hydrodynamics; numerical accuracy; steady-state analysis; water-level validation methods of lake bathymetry; shallow water equations; lake hydrodynamics; numerical accuracy; steady-state analysis; water-level validation
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Paul, S.; Oppelstrup, J.; Thunvik, R.; Magero, J.M.; Ddumba Walakira, D.; Cvetkovic, V. Bathymetry Development and Flow Analyses Using Two-Dimensional Numerical Modeling Approach for Lake Victoria. Fluids 2019, 4, 182.

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