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

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
A simple model for faceted topographies at normal faults based on an extended stream-power law
Stefan Hergarten
EGUsphere, https://doi.org/10.5194/egusphere-2024-336,https://doi.org/10.5194/egusphere-2024-336, 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
The concept of event-size-dependent exhaustion and its application to paraglacial rockslides
Stefan Hergarten
Nat. Hazards Earth Syst. Sci., 23, 3051–3063, https://doi.org/10.5194/nhess-23-3051-2023,https://doi.org/10.5194/nhess-23-3051-2023, 2023
Short summary

Related subject area

Other Hazards (e.g., Glacial and Snow Hazards, Karst, Wildfires Hazards, and Medical Geo-Hazards)
Glide-snow avalanches: a mechanical, threshold-based release area model
Amelie Fees, Alec van Herwijnen, Michael Lombardo, Jürg Schweizer, and Peter Lehmann
Nat. Hazards Earth Syst. Sci., 24, 3387–3400, https://doi.org/10.5194/nhess-24-3387-2024,https://doi.org/10.5194/nhess-24-3387-2024, 2024
Short summary
Improving fire severity prediction in south-eastern Australia using vegetation-specific information
Kang He, Xinyi Shen, Cory Merow, Efthymios Nikolopoulos, Rachael V. Gallagher, Feifei Yang, and Emmanouil N. Anagnostou
Nat. Hazards Earth Syst. Sci., 24, 3337–3355, https://doi.org/10.5194/nhess-24-3337-2024,https://doi.org/10.5194/nhess-24-3337-2024, 2024
Short summary
How hard do avalanche practitioners tap during snow stability tests?
Håvard B. Toft, Samuel V. Verplanck, and Markus Landrø
Nat. Hazards Earth Syst. Sci., 24, 2757–2772, https://doi.org/10.5194/nhess-24-2757-2024,https://doi.org/10.5194/nhess-24-2757-2024, 2024
Short summary
A large-scale validation of snowpack simulations in support of avalanche forecasting focusing on critical layers
Florian Herla, Pascal Haegeli, Simon Horton, and Patrick Mair
Nat. Hazards Earth Syst. Sci., 24, 2727–2756, https://doi.org/10.5194/nhess-24-2727-2024,https://doi.org/10.5194/nhess-24-2727-2024, 2024
Short summary
A glacial lake outburst flood risk assessment for the Phochhu river basin, Bhutan
Tandin Wangchuk and Ryota Tsubaki
Nat. Hazards Earth Syst. Sci., 24, 2523–2540, https://doi.org/10.5194/nhess-24-2523-2024,https://doi.org/10.5194/nhess-24-2523-2024, 2024
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.
Altmetrics
Final-revised paper
Preprint