Landslide Modeling with the Savage-Hutter Approach Using the Finite Volume Method
DOI:
https://doi.org/10.35335/computational.v14i4.285Keywords:
Finite Volume Method, Landslide, Peniraman Hill, Savage-HutterAbstract
Landslides are one of the most frequent disasters in Indonesia and have a major impact on the environment and society. This study focuses on modeling the dynamics of landslides in Peniraman Hill, West Kalimantan, using the Savage-Hutter (SH) model solved through the finite volume method (FVM) and the Harten-Lax-van Leer flux scheme. (HLL), supported by the Courant–Friedrichs–Lewy (CFL) method to maintain stable conditions. This study aims to apply the model to real conditions and assess the effectiveness of the numerical approach in describing the movement of land masses. Simulations were conducted on Slopes 1 and 3 which are at risk of landslides due to their soil stability, with three variations of the soil friction angle to see how changes in these parameters affect the flow mechanism and sliding distance. The results show that the soil friction angle is a factor that influences landslide behavior. Decreasing the value makes the landslide move faster and cover a wider area in all parts of the topography. The initial maximum velocity of Slope 1 ranges from ~12–17 m/s with a range of around ~18 meters, while on Slope 3 it reaches ~20–27 m/s with a range of up to ~23.5 meters. Slope 3 consistently produces faster movement and longer sliding distance. Overall, the combination of the SH model with the FVM method and the HLL scheme controlled by CFL conditions has proven to be effective, stable, and capable of representing landslide dynamics. The research results can be an important basis for risk analysis and disaster mitigation strategy planning in the environment around Peniraman Hill to establish exclusion zones and design high load-bearing structures in the potential landslide reach area of ~23.5 meters
References
Ancey, C. (2001). Dry Granular Flows Down An Inclined Channel: Experimental Investigations On The Frictional-Collisional Regime. Phys. Rev. E, 65(1), 11304. https://doi.org/10.1103/PhysRevE.65.011304
Bollermann, A., Chen, G., Kurganov, A., & Noelle, S. (2013). A Well-Balanced Reconstruction of Wet/Dry Fronts for the Shallow Water Equations. J. Sci. Comput., 56(2), 267–290. https://doi.org/10.1007/s10915-012-9677-5
Campos, F., Sepúlveda, M., Abarca, R., & Issler, D. (2023). Study of Avalanche Models Using Well-Balanced Finite Volume Schemes. Obras y Proyectos, 63, 54–63. https://doi.org/doi.org/10.21703/0718-281320233306
Fan, Y., Ma, D., & Sun, X. (2022). Numerical Investigation of the Landslide and Its Surge: A Case Study of the Gongjiafang Landslide in the Three Gorges Reservoir Area. Geofluids, 2022, 13. https://doi.org/10.1155/2022/3800053
Fois, M., Gatti, F., de Falco, C., & Formaggia, L. (2025). A Comparative Analysis of Mesh-Based and Particle-Based Numerical Methods for Landslide Run-Out Simulations. Computers & Fluids, 295, 106641. https://doi.org/https://doi.org/10.1016/j.compfluid.2025.106641
Garres-Díaz, J., Fernández-Nieto, E. D., Mangeney, A., & Morales de Luna, T. (2021). A Weakly Non-hydrostatic Shallow Model for Dry Granular Flows. Journal of Scientific Computing, 86(2), 25. https://doi.org/10.1007/s10915-020-01377-9
Hutchinson, M. F. (1989). A New Procedure for Gridding Elevation and Stream Line Data with Automatic Removal of Spurious Pits. Journal of Hydrology, 106(3), 211–232. https://doi.org/https://doi.org/10.1016/0022-1694(89)90073-5
Ikrima, U., Purwoko, B., & Syafrianto, M. K. (2021). Analisa Kestabilan Lereng pada Bukit Peniraman dengan Menggunakan Metode Stereografis. JeLAST : Jurnal Teknik Kelautan , PWK , Sipil, Dan Tambang, 8(2), 1–9. https://doi.org/10.26418/jelast.v8i2.49427
LeVeque, R. J. (2012). Finite Volume Methods and Software for Hyperbolic Problems. NSF Award. 16732. https://ui.adsabs.harvard.edu/abs/2012nsf
Li, R., & Zhang, X. (2020). A Finite Volume Scheme for Savage-Hutter Equations on Unstructured Grids. Numerical Mathematics, 13(2), 479–496. https://doi.org/10.4208/NMTMA.OA-2019-0080
Liu, W., Hu, Y., He, S., Zhou, J., & Chen, K. (2021). A Numerical Study of the Critical Threshold for Landslide Dam Formation Considering Landslide and River Dynamics. Frontiers in Earth Science, 9(May), 1–11. https://doi.org/10.3389/feart.2021.651887
Ludica, Alifanda Pinkan Gunawan, P. H., & Rohmawati, A. A. (2018). Simulasi Pergerakan Runtuhan Longsor Menggunakan Model Savage-Hutter Dengan Finite Volume Method. E-Jurnal Matematika, 7(2), 88. https://doi.org/10.24843/mtk.2018.v07.i02.p189
Magdalena, I., Hariz, A. A. A., Farid, M., & Kusuma, M. S. B. (2021). Numerical Studies Using Staggered Finite Volume For Dam Break Flow With An Obstacle Through Different Geometries. Results in Applied Mathematics, 12. https://doi.org/10.1016/j.rinam.2021.100193
Overduin, J., & Henry, R. C. (2020). Physics and the Pythagorean Theorem. 1–10. http://arxiv.org/abs/2005.10671
Savage, S. B., & Hutter, K. (1989). The Motion Of A Finite Mass Of Granular Material Down A Rough Incline. Journal of Fluid Mechanics, 199(2697), 177–215. https://doi.org/10.1017/S0022112089000340
Serrano-Pacheco, A., Murillo, J., & García-Navarro, P. (2009). A Finite Volume Method For The Simulation Of The Waves Generated By Landslides. Journal of Hydrology, 373(3–4), 273–289. https://doi.org/https://doi.org/10.1016/j.jhydrol.2009.05.003
Shah, A., Zafar, M. N., Du, Y., & Yuan, L. (2024). Numerical Solution of the Savage – Hutter Equations for Granular Avalanche Flow using the Discontinuous Galerkin Method. https://doi.org/doi.org/10.48550/arXiv.2205.05161
Sun, W., & Wang, Y. (2024). Modeling Phase Separation in Grain-Fluid Mixture Flows by a Depth-Averaged Approach With Dilatancy Effects. Journal of Geophysical Research: Earth Surface, 129(12). https://doi.org/https://doi.org/10.1029/2023JF007416
Toro, E. F. (2009). Riemann Solvers And Numerical Methods For Fluid Dynamics: A Practical Introduction. https://doi.org/10.1007/b79761
Toro, E. F. (2019). The HLLC Riemann solver. Shock Waves, 29. https://doi.org/10.1007/s00193-019-00912-4
Wahyuzi, R., Muslim, D., Zakaria, Z., Sukiyah, E., & Sophian, R. I. (2024). Potensi Longsor Akibat Aktivitas Penambangan Ilegal di Kecamatan Sungai Durian, Kabupaten Kotabaru. Jurnal Teknologi Mineral Dan Batubara, 20(2), 65–76. https://doi.org/10.30556/jtmb.vol20.no2.2024.1567
Wang, M., & Zhang, X. (2022). A High – Order WENO Scheme Based on Different Numerical Fluxes for the Savage – Hutter Equations. Mathematics, 10(1482), 1–18. https://doi.org/doi.org/10.3390/math10091482
Wijaya, A. H., Fajriyanto, Novianti, T. C., & Rahmadi, E. (2024). Pemetaan Daerah Bahaya Tanah Longsor Di Kecamatan Balik Bukit Kabupaten Lampung Barat Dengan Metode Weighted Overlay. Journal Of Plano Studies, 1(2), 62–71. https://doi.org/10.36982/jops.v1i2.4904
Wu, Y., Wang, Z., Zhao, Y., Li, X., & Wang, Y. (2025). Flow-pile interaction for landslides: Fluid simulation model. Journal of Rock Mechanics and Geotechnical Engineering. https://doi.org/ttps://doi.org/10.1016/j.jrmge.2025.05.009.
Zafar, M. N., Dutykh, D., Sabatier, P., Banjan, M., & Kim, J. (2024). Numerical Reconstruction of Landslide Paleotsunami Using Geological Records in Alpine Lake Aiguebelette. Journal of Geophysical Research: Solid Earth, 129(5), e2023JB028629. https://doi.org/https://doi.org/10.1029/2023JB028629
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