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

Authors: Seema Paul; Jesper Oppelstrup; Roger Thunvik; John Mango Magero; David Ddumba Walakira; Vladimir Cvetkovic;

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

Abstract

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.

QC 20191106. QC 20200129

PhD project

Country
Sweden
Related Organizations
Subjects by Vocabulary

Microsoft Academic Graph classification: Multiphysics Flow (psychology) Inflow Mean flow Bathymetry Shallow water equations Geomorphology Numerical analysis Free surface Geology

Library of Congress Subject Headings: lcsh:Thermodynamics lcsh:QC310.15-319 lcsh:QC120-168.85 lcsh:Descriptive and experimental mechanics

Keywords

methods of lake bathymetry; shallow water equations; lake hydrodynamics; numerical accuracy; steady-state analysis; water-level validation, steady-state analysis, Vattenteknik, water-level validation, Fluid Flow and Transfer Processes, QC120-168.85, shallow water equations, numerical accuracy, Mechanical Engineering, Water Engineering, Condensed Matter Physics, lake hydrodynamics, Descriptive and experimental mechanics, methods of lake bathymetry, Thermodynamics, QC310.15-319

47 references, page 1 of 5

Kayombo, S.; Jorgensen, S.E. Lake Victoria: Experiance and Lessons Learned Brief. Available online: https://iwlearn.net/documents/5979 (accessed on 8 October 2019).

Cheruiyot, C. Review of Estimation of Pollution Load To Lake Victoria. Eur. Sci. J. 2014, 10, 1857-7881.

Pacini, G.; Covelli, P. Application of a Two-dimensional Hydrodynamic Model for Shallow Waters to the Orbetello Lagoon. In Proceedings of the 5th International Conference on Hydroinformatics, Cardi , UK, 1-5 July 2002; Volume 3.

Curtarelli, M.P.; Alcântara, E.; Rennó, C.D.; Assireu, A.T.; Bonnet, M.P.; Stech, J.L. Modeling the surface circulation and thermal structure of a tropical reservoir using three-dimensional hydrodynamic lake model and remote-sensing data. Water Environ. J. 2014, 28, 516-525. [CrossRef] Song, Y.; Semazzi, F.H.M.; Xie, L.; Ogallo, L.J. A coupled regional climate model for the Lake Victoria Basin of East Africa. Int. J. Climatol. 2004, 24, 57-75. [CrossRef]

6. Anyah, R.O.; Semazzi, F.H.M. Simulation of the sensitivity of Lake Victoria basin climate to lake surface temperatures. Theor. Appl. Climatol. 2004, 79, 55-69. [CrossRef]

7. Richard, O.A.; Fredrick, S.; Lian, X. Hydrodynamic Characteristics of Lake Victoria Based on Idealized 3D Lake Model Simulations; Monthly Weather Review, Center for Environmental Prediction, Department of Environmental Sciences, Rutgers University: Trenton, NJ, USA, 2006; pp. 1-30.

8. Fowler, H.; Ekström, M. Multi-model ensemble estimates of climate change impacts on UK seasonal rainfall extremes. Int. J. Clim. 2009, 416, 385-416. [CrossRef]

9. Nyamweya, C.; Desjardins, C.; Sigurdsson, S.; Tomasson, T.; Taabu-Munyaho, A.; Sitoki, L.; Stefansson, G. Simulation of Lake Victoria Circulation Patterns Using the Regional Ocean Modeling System (ROMS). PLoS ONE 2016, 11, e0151272. [CrossRef] [PubMed] [OpenAIRE]

10. Damsgaard, J.-K. NCC Strategic Plan; Technical Report; NOAA-Great Lakes Environmental Research Laboratory: Ann Arbor, MI, USA, 2012; p. 40.

11. Kendall, R.L. An Ecological History of the Lake Victoria Basin. Ecol. Soc. Am. 2016, 39, 121-176. [CrossRef]

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Top 10%
Average
Average
gold