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

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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.
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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.
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