Articles | Volume 15, issue 3
https://doi.org/10.5194/nhess-15-671-2015
https://doi.org/10.5194/nhess-15-671-2015
Research article
 | 
30 Mar 2015
Research article |  | 30 Mar 2015

Modelling rapid mass movements using the shallow water equations in Cartesian coordinates

S. Hergarten and J. Robl

Related authors

Old orogen – young topography: lithological contrasts controlling erosion and relief formation in the Bohemian Massif
Jörg Christian Robl, Fabian Dremel, Kurt Stüwe, Stefan Hergarten, Christoph von Hagke, and Derek Fabel
EGUsphere, https://doi.org/10.5194/egusphere-2024-3256,https://doi.org/10.5194/egusphere-2024-3256, 2024
Short summary
A simple model for faceted topographies at normal faults based on an extended stream-power law
Stefan Hergarten
Earth Surf. Dynam., 12, 1315–1327, https://doi.org/10.5194/esurf-12-1315-2024,https://doi.org/10.5194/esurf-12-1315-2024, 2024
Short summary
Modeling the formation of toma hills based on fluid dynamics with a modified Voellmy rheology
Stefan Hergarten
Earth Surf. Dynam., 12, 1193–1203, https://doi.org/10.5194/esurf-12-1193-2024,https://doi.org/10.5194/esurf-12-1193-2024, 2024
Short summary
MinVoellmy v1: a lightweight model for simulating rapid mass movements based on a modified Voellmy rheology
Stefan Hergarten
Geosci. Model Dev., 17, 781–794, https://doi.org/10.5194/gmd-17-781-2024,https://doi.org/10.5194/gmd-17-781-2024, 2024
Short summary
Scaling between volume and runout of rock avalanches explained by a modified Voellmy rheology
Stefan Hergarten
Earth Surf. Dynam., 12, 219–229, https://doi.org/10.5194/esurf-12-219-2024,https://doi.org/10.5194/esurf-12-219-2024, 2024
Short summary

Related subject area

Other Hazards (e.g., Glacial and Snow Hazards, Karst, Wildfires Hazards, and Medical Geo-Hazards)
The Avalanche Terrain Exposure Scale (ATES) v.2
Grant Statham and Cam Campbell
Nat. Hazards Earth Syst. Sci., 25, 1113–1137, https://doi.org/10.5194/nhess-25-1113-2025,https://doi.org/10.5194/nhess-25-1113-2025, 2025
Short summary
Review article: A scoping review of human factors in avalanche decision-making
Audun Hetland, Rebecca A. Hetland, Tarjei Tveito Skille, and Andrea Mannberg
Nat. Hazards Earth Syst. Sci., 25, 929–948, https://doi.org/10.5194/nhess-25-929-2025,https://doi.org/10.5194/nhess-25-929-2025, 2025
Short summary
A quantitative module of avalanche hazard – comparing forecaster assessments of storm and persistent slab avalanche problems with information derived from distributed snowpack simulations
Florian Herla, Pascal Haegeli, Simon Horton, and Patrick Mair
Nat. Hazards Earth Syst. Sci., 25, 625–646, https://doi.org/10.5194/nhess-25-625-2025,https://doi.org/10.5194/nhess-25-625-2025, 2025
Short summary
Modelling current and future forest fire susceptibility in north-eastern Germany
Katharina H. Horn, Stenka Vulova, Hanyu Li, and Birgit Kleinschmit
Nat. Hazards Earth Syst. Sci., 25, 383–401, https://doi.org/10.5194/nhess-25-383-2025,https://doi.org/10.5194/nhess-25-383-2025, 2025
Short summary
The effect of propagation saw test geometries on critical cut length
Bastian Bergfeld, Karl W. Birkeland, Valentin Adam, Philipp L. Rosendahl, and Alec van Herwijnen
Nat. Hazards Earth Syst. Sci., 25, 321–334, https://doi.org/10.5194/nhess-25-321-2025,https://doi.org/10.5194/nhess-25-321-2025, 2025
Short summary

Cited articles

An, H. and Yu, S.: Well-balanced shallow water flow simulation on quadtree cut cell grids, Adv. Water Resour., 39, 60–70, https://doi.org/10.1016/j.advwatres.2012.01.003, 2012.
Berger, M. J., George, D. L., LeVeque, R. J., and Mandli, K. T.: The GeoClaw software for depth-averaged flows with adaptive refinement, Adv. Water Resour., 34, 1195–1206, https://doi.org/10.1016/j.advwatres.2011.02.016, 2011.
Bouchut, F. and Westdickenberg, M.: Gravity driven shallow water models for arbitrary topography, Commun. Math. Sci., 2, 359–389, 2004.
Bühler, Y., Christen, M., Kowalski, J., and Bartelt, P.: Sensitivity of snow avalanche simulations to digital elevation model quality and resolution, Ann. Glaciol., 52, 72–80, https://doi.org/10.3189/172756411797252121, 2011.
Christen, M., Kowalski, J., and Bartelt, P.: RAMMS: Numerical simulation of dense snow avalanches in three-dimensional terrain, Cold Reg. Sci. Technol., 63, 1–14, https://doi.org/10.1016/j.coldregions.2010.04.005, 2010.
Download
Short summary
Snow avalanches and debris flows are abundant natural hazards in mountainous regions. Numerical models describing rapid mass movements are essential for hazard studies and mitigation strategies, but only a few software tools are available for this purpose. This paper presents a new method using the shallow water equations widely applied to lakes and oceans. It introduces appropriate correction terms for steep terrain and can be implemented in a variety of fluid-dynamics software packages.
Share
Altmetrics
Final-revised paper
Preprint