journal article·2022-11-16Open access

Flood Prediction with Two-Dimensional Shallow Water Equations: A Case Study of Tongo-Bassa Watershed in Cameroon

Alain Joel Elong, Ling Zhou, Bryan Karney, Haoyu Fang, Yun Cao, Steve L. Zeh Assam

Applied Sciences· Volume 12· Issue 22

Abstract

As a result of urbanization, combined with the anthropogenic effects of climate change, natural events such as floods are showing increasingly adverse impacts on human existence. This study proposes a new model, based on shallow water equations, that is able to predict these floods and minimize their impacts. The first-order finite volume method (FVM), the Harten Lax and van Leer (HLL) scheme, and the monotone upwind scheme for conservation laws (MUSCL) are applied in the model. In addition, a virtual boundary cell approach is adopted to achieve a monotonic solution for both interior and boundary cells and flux computations at the boundary cells. The model integrates the infiltration parameters recorded in the area, as well as the Manning coefficient specific to each land-cover type of the catchment region. The results provided were mapped to highlight the potential flood zones and the distribution of water heights throughout the catchment region at any given time, as well as that at the outlet. It has been observed that when standard infiltration and the Manning parameters were selected, the floodable surface increased, as expected, with the increasing rainfall intensity and duration of the simulation. With sufficient infiltration, only a portion of the water tends to stagnate and flow off on the surface toward the outlet. A sensitivity analysis of certain parameters, such as rainfall data and the final infiltration coefficient in the lower watershed of the littoral region, was conducted; the results show that the model simulates well the general character of water flow in the watershed. Finally, the model’s validation using field-collected parameters during the flood of 25 July 2017 and 18 to 22 July 2016 in the Grand Ouaga basin in Burkina reveals Nash–Sutcliffe values of 0.7 and 0.73, respectively.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Flood Risk Assessment and Management · Hydrology and Watershed Management Studies · Urban Stormwater Management Solutions

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

College of Water Conservancy and Hydropower Engineering, Hohai University, Nanjing 210098, China

College of Water Conservancy and Hydropower Engineering, Hohai University and Yangtze Institute for Conservation and Development, 1 Xikang Road, Nanjing 210098, China

Department of Civil Engineering, University of Toronto, 35 St. George St., Toronto, ON M5S 1A4, Canada

College of Harbour Coastal and Offshore Engineering, Hohai University, Nanjing 210098, China

Funding

National Natural Science Foundation of China · Fok Ying Tong Education Foundation · China Scholar Council

References (49)

Show source-provided references
1. Hydraulic impacts on urban drainage systems due to changes in rainfall caused by climatic change10.1061/(ASCE)HE.1943-5584.0000406 ↗
2. Identification and quantification of the hydrological impacts of imperviousness in urban catchments: A review10.1016/j.jenvman.2011.01.018 ↗
3. Understanding, management and modelling of urban hydrology and its consequences for receiving waters: A state of the art10.1016/j.advwatres.2012.09.001 ↗
4. The impacts of climate change and urbanization on drainage in Helsingborg, Sweden: Combined sewer system10.1016/j.jhydrol.2007.05.028 ↗
5. United Nations Development program (UNDP) (2007). Adapting to the Inevitable: National Action and International Cooperation, Human Development Report. Available online: http://hdr.undp.org/sites/default/files/hdr_20072008_fr.pdf.
6. Descroix, L., Guichard, F., Grippa, M., Lambert, L., Panthou, G., Mahé, G., Gal, L., Dardel, C., Quantin, G., and Kergoat, L. (2018). Evolution of surface hydrology in the Sahelo-Sudanian strip: An updated review. Water, 10.10.3390/w10060748 ↗
7. National Institution for Transforming India (NITI) Aayog (2022, October 10). Report of the Committee Constituted for Formulation of Strategy for Flood Management Works in Entire Country and River Management Activities and Works Related to Border Areas (2021–26), Available online: https://www.niti.gov.in/sites/default/files/2021-03/Flood-Report.pdf.
8. IGPCC (2007). Climate Change 2007: Synthesis Report, IPCC. Available online: https://www.ipcc.ch/site/assets/uploads/2018/02/ar4_syr_fr.pdf.
9. The 2011 Brisbane Floods: Causes, Impacts and Implications
10. Pitt, M. (2008). The Pitt Review: Learning Lessons from the 2007 Floods, The Cabinet Office.
11. Benfield, A. (2012). Thailand Floods Event Recap Report 2011, Wiley. Available online: http://thoughtleadership.aonbenfield.com/Documents/20120314_impact_forecasting_thailand_flood_event_recap.pdf.
12. Mississippi River Commission (2011). MR & T Flood Report, Mississippi River Commission.
13. Flash flood occurrences since the 17th century in steep drainage basins in southern Italy10.1007/s00267-012-9935-1 ↗
14. Erpicum, S., Dewals, B., Archambeau, P., Detrembleur, S., and Pirotton, M. (2008, January 3–5). Detailed 2D numerical modeling for flood extension forecasting. Proceedings of the 4th International Conference on Fluvial Hydraulics, Izmir, Turkey.
15. The problem of annual occurrences of floods in Accra: An integration of hydrological, economic and political perspectives
16. The shallow water equations: An example of hyperbolic system
17. Saint-Venant, A.B. (1871). Theory and General Equations of the Non-Permanent Movement of Running Waters, Reports of the Sessions of the Academy of Sciences.
18. Dam-break flood forecasting in Piemonte region, northwest Italy10.1007/BF00421995 ↗
19. A method for optimum layout design of concrete gravity dams
20. Simulation of the Sella Zerbino catastrophic Dam Break
21. Bozkus, Z. (2009, January 6–10). Failure Analysis for Cinarcik Dam. Proceedings of the IV National Water Engineering Symposium, Istanbul, Turkey. (In Turkish).
22. Dam-Breach Hydrograph Modelling: An Innovative Semi-Analytical Approach10.1007/s11269-012-0046-9 ↗
23. A numerical model for flooding and drying of irregular domains10.1002/fld.285 ↗
24. Two-Dimensional Numerical Modeling of Dam-Break Flows over Natural Terrain Using a Central Explicit Scheme10.1016/j.advwatres.2011.07.007 ↗
25. Flood wave modeling based on a two-dimensional modified wave propagation algorithm coupled to a full-pipe network solver10.1061/(ASCE)HY.1943-7900.0000515 ↗
26. An integrated evacuation model for highly developed urban areas10.2166/wst.2005.0051 ↗
27. Description of the Tous Dam break case study (Spain)10.1080/00221686.2007.9521832 ↗
28. Modelling floods in a dense urban area using 2D shallow water equations10.1016/j.jhydrol.2005.11.026 ↗
29. Comparing various methods of building representation for 2D flood modeling in built-up areas10.1007/s11269-014-0702-3 ↗
30. Comparison of 1D and 2D hydraulic Models for Floods Simulation on the Medjerda Riverin Tunisia
31. An Operational Forecasting System for Flash Floods in Mountainous Areas in Taiwan10.3390/w11102100 ↗
32. An Operational High-Performance Forecasting System for City-Scale Pluvial Flash Floods in the Southwestern Plain Areas of Taiwan10.3390/w13040405 ↗
33. Benedini, M., and Tsakiris, G. (2013). Water Quality Modelling for Rivers and Streams, Springer.10.1007/978-94-007-5509-3 ↗
34. A numerical algorithm and Visualization Software for Flood simulation in Urban Area: A Case Study of West Jakarta, Indonesia
35. Yamaguchi, S.T., and Ikeda, I. (2008, January 6–8). Rapid Flood Simulation Software for Personal Computer with Dynamic Domain Defining Method. Proceedings of the 4th International Symposium of Flood Defense: Managing Flood Risk, Reliability and Vulnerability, Toronto, ON, Canada.
36. A second-order Finite Volume Method for pipe flow with column10.1016/j.jher.2016.11.004 ↗
37. Maugeri, A. (2012). Capabilities of a Coupled 1D/2D Model for Flood Inundation Simulation, Columbia Water Center.
38. Audusse, E. (2004). Hyperbolic Models and Numerical Analysis for Shallow Water Flows. [Doctoral Thesis, Pierre and Marie Curie University].
39. Gnenakantanhan, C., Babacar, L., Fowe, T., Adjadi, M.L., and Harouna, K. (2020). Urban Flood Modeling Using 2D Shallow-Water Equations in Ouagadougou, Burkina Faso. Water, 12.10.3390/w12082120 ↗
40. Toro, E.F. (2009). The HLL and HLLC Riemann Solvers. Riemann Solvers and Numerical Methods for Fluid Dynamics, Springer.10.1007/b79761 ↗
41. River flow forecasting through conceptual models, I: A discussion of principles10.1016/0022-1694(70)90255-6 ↗
42. Quality of Groundwater in shallow Aquifers of a Paddy Dominated Agricultural River Basin, Kerala, India
43. Ministry of Urban Planning and Housing of Cameroon (MUPHC) (2022, October 10). Urban Development and Poverty reduction Strategy: City of Douala and its Greater Urban Area. Final Report, December 2009, 0828 Rapport CDS final-141209-15.12.09-JG. Available online: https://knowledge-uclga.org/IMG/pdf/development_strategy_of_the_city_of_douala_and_its_metropolitan_area.pdf.
44. Regnoult, M. (1986). Geological Synthesis of Cameroon, DMG.
45. Origin of Mineralization of Groundwater in the Tongo Bassa Watershed (Douala-Cameroon)
46. Arcement, G.J., and Schneider, V.R. (1989). Guide for Selecting Manning’s Roughness Coefficients for Natural Channels and Flood Plains, US Geological Survey.
47. Pit, R., Lantrip, J., Harrison, R., Henry, C.L., and Xue, D. (1999). Infiltration through Disturbed Urban Soils and Compost-Amended Soil Effects on Runoff Quality and Quantity, National Risk Management Research Laboratory.
48. Hingray, B., Picouet, C., and Musy, A. (2009). Hydrologie. A Science for the Engineer, PPUR Polytechnics and Universities Press. [2nd ed.].
49. Vidal, J.P. (2005). Assistance with the calibration of numerical models in river hydraulics—Contributions of artificial intelligence. [Ph.D. Thesis, The National Polytechnic Institute of Toulouse-France].