Analisis Numerik Aliran Banjir 1D dengan Shallow Water Equations untuk Identifikasi Batas Kapasitas Sungai Gunung Nago
DOI:
10.29303/jm.v8i3.13279Published:
2026-09-30Downloads
Abstract
Flooding is a common environmental problem in river basins due to increased rainfall and runoff from surrounding areas. One of the main causes of flooding is lateral flow entering the riverbed, increasing its discharge and depth. In this study, we analyzed the influence of lateral flow on changes in water depth and determined the river's capacity before flooding occurred in the Mount Nago River basin. Numerical analysis of one-dimensional flow using Shallow Water Equations (SWE) was performed using the Lax–Friedrichs explicit finite difference method. Numerical simulations were performed by varying the lateral flow discharge in certain segments of the river basin and applying flood hydrograph boundary conditions upstream. The simulation results showed that increasing lateral flow caused a significant increase in water depth. The river was still able to accommodate lateral flow up to a certain value, but when the lateral flow exceeded the cross-sectional capacity, the water level exceeded the riverbank height and caused flooding. The results of this study indicate that the SWE model is quite effective in predicting flood potential and can be used as an initial basis for flood mitigation planning and river environmental management.
Keywords:
lateral flow river flood aquatic environment flood mitigation hydrodynamic modelReferences
(IPCC), I. P. on C. C. (2023). Climate Change 2021 – The Physical Science Basis: Working Group I Contribution to the Sixth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge University Press. https://doi.org/DOI: 10.1017/9781009157896
Bates, P. D., Horritt, M. S., & Fewtrell, T. J. (2010). A Simple Inertial Formulation of the Shallow Water Equations for Efficient Two-Dimensional Flood Inundation Modelling. Journal of Hydrology, 387(1–2), 33–45. https://doi.org/10.1016/j.jhydrol.2010.03.027
Brunner, G. W. (2016). HEC-RAS River Analysis System Hydraulic Reference Manual Version 5.0. US Army Corps of Engineers. https://www.hec.usace.army.mil/software/hec-ras/documentation/HEC-RAS_5.0_Reference_Manual.pdf
Chow, V. Te. (1959). Open-Channel Hydraulics. McGraw-Hill Book Company.
Chow, V. Te, Maidment, D. R., & Mays, L. W. (1988). Applied Hydrology. McGraw-Hill.
Costabile, P., Costanzo, C., Ferraro, D., & Macchione, F. (2020). Performances of the New HEC-RAS Version 5 for 2-D Hydrodynamic-Based Rainfall-Runoff Simulations at Basin Scale. Water, 12(9). https://doi.org/10.3390/w12092326
Cunge, J. A., Holly, F. M., & Verwey, A. (1980). Practical Aspects of Computational River Hydraulics. Pitman Publishing Ltd.
Karneni, S., Djali, N., & Mizwar, Z. (2016). PERENCANAAN BENDUNG TETAP GUNUNG NAGO KOTA PADANG. Abstract of Undergraduate Research, Faculty of Civil and Planning Engineering, Bung Hatta University, 1(2).
Lax, P. D., & Friedrichs, K. O. (1954). On the Numerical Solution of Hyperbolic Partial Differential Equations. Communications on Pure and Applied Mathematics, 7(1), 159–193. https://doi.org/10.1002/cpa.3160070112
LeVeque, R. J. (2002). Finite Volume Methods for Hyperbolic Problems. Cambridge University Press. https://doi.org/10.1017/CBO9780511791253
Raming, I., Mangiri, I., Mujiyarti, A., Suciati, R., Syafitri, M., Wulandari, R. A., & Mushalifah, M. (2022). Solusi Numeris Persamaan Saint Venant pada Lateral Flow Aliran Terbuka di Kanal Sempaja. Jurnal Ilmiah Matematika, 1(1), 115–127. http://download.garuda.kemdikbud.go.id/article.php?article=3401216&val=29848
Sanders, B., Schubert, J., & Detwiler, R. (2010). ParBreZo: A parallel, unstructured grid, Godunov-type, shallow-water code for high-resolution flood inundation modeling at the regional scale. Advances in Water Resources - ADV WATER RESOUR, 33. https://doi.org/10.1016/j.advwatres.2010.07.007
Toro, E. (2009). Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction. In Riemann Solvers and Numerical Methods for Fluid Dynamics. https://doi.org/10.1007/b79761
Ward, P. J., Winsemius, H. C., Kuzma, S., Bierkens, M. F. P., Bouwman, A., Moel, H. De, Loaiza, A. D., Eilander, D., Englhardt, J., Gilles, E., Gebremedhin, E., Iceland, C., Kooi, H., Ligtvoet, W., Muis, S., Scussolini, P., Sutanudjaja, E. H., Beek, R. Van, Bemmel, B., … Luo, T. (2020). Aqueduct floods methodology. World Resources Institute, (January), 1–28. https://www.wri.org/research/aqueduct-floods-methodology%0Awww.wri.org/publication/aqueduct-floods-methodology
Xia, J., Falconer, R., Lin, B., & Tan, G. (2011). Modelling flash flood risk in urban areas. Water Management, 164, 267–282. https://doi.org/10.1680/wama.2011.164.6.267
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