Bartelt, P., Buser, O., Vera Valero, C., and Bühler, Y.: Configurational energy and the formation of mixed flowing/powder snow and ice avalanches, Ann. Glaciol., 57, 179–188,
https://doi.org/10.3189/2016AoG71A464, 2016.
a,
b,
c,
d,
e,
f,
g,
h,
i,
j,
k
Bouchut, F. and Westdickenberg, M.: Gravity driven shallow water models for arbitrary topography, Commun. Math. Sci., 2, 359–389, 2004.
a,
b
Bouchut, F., Mangeney-Castelnau, A., Perthame, B., and Vilotte, J.-P.: A new model of Saint Venant and Savage–Hutter type for gravity driven shallow water flows, C. R. Math., 336, 531–536,
https://doi.org/10.1016/S1631-073X(03)00117-1, 2003.
a,
b
Boyer, F., Guazzelli, É., and Pouliquen, O.: Unifying suspension and granular rheology, Phys. Rev. Lett., 107, 188301,
https://doi.org/10.1103/PhysRevLett.107.188301, 2011.
a,
b,
c,
d
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.
a,
b
Denlinger, R. P. and Iverson, R. M.: Granular avalanches across irregular three-dimensional terrain: 1. Theory and computation, J. Geophys. Res.-Earth, 109, F01014,
https://doi.org/10.1029/2003JF000085, 2004.
a
Eglit, M., Yakubenko, A., and Zayko, J.: A review of Russian snow avalanche models–from analytical solutions to novel 3D models, Geosciences, 10, 77,
https://doi.org/10.3390/geosciences10020077, 2020.
a,
b
ESI-OpenCFD team: ESI OpenCFD Release OpenFOAM® v2312,
https://www.openfoam.com/news/main-news/openfoam-v2312, last access: 18 August 2024. a
Ferziger, J. H. and Peric, M.: Computational methods for fluid dynamics, Springer, 3rd Edn., ISBN 3-540-42074-6, 2002.
a,
b,
c,
d
Fischer, J.-T., Kowalski, J., and Pudasaini, S. P.: Topographic curvature effects in applied avalanche modeling, Cold Reg. Sci. Technol., 74, 21–30,
https://doi.org/10.1016/j.coldregions.2012.01.005, 2012.
a
Fischer, J.-T., Kofler, A., Wolfgang, F., Granig, M., and Kleemayr, K.: Multivariate parameter optimization for computational snow avalanche simulation in 3d terrain, J. Glaciol., 61, 875–888,
https://doi.org/10.3189/2015JoG14J168, 2015.
a,
b,
c,
d,
e
Garcés, A., González, Á., Tamburrino, A., and Montserrat, S.: faDebrisFOAM validation using field data surveyed in Crucecita (Chile) alluvial fan for the event of 13th May 2017, in: E3S Web of Conferences, 415, p. 02007,
https://doi.org/10.1051/e3sconf/202341502007, 2023.
a
George, D. L., Iverson, R. M., and Cannon, C. M.: New methodology for computing tsunami generation by subaerial landslides: Application to the 2015 Tyndall Glacier landslide, Alaska, Geophys. Res. Lett., 44, 7276–7284,
https://doi.org/10.1002/2017GL074341, 2017.
a
Hagemeier, T., Hartmann, M., and Thévenin, D.: Practice of vehicle soiling investigations: A review, Int. J. Multiphas. Flow, 37, 860–875,
https://doi.org/10.1016/j.ijmultiphaseflow.2011.05.002, 2011.
a
Heerema, C. J., Talling, P. J., Cartigny, M. J., Paull, C. K., Bailey, L., Simmons, S. M., Parsons, D. R., Clare, M. A., Gwiazda, R., Lundsten, E., Anderson, K., Maier, K. L., Xu, J. P., Sumner, E. J., Rosenberger, K., Gales, J., McGann, M., Carter, L., and Pope, E.: What determines the downstream evolution of turbidity currents?, Earth Planet. Sc. Lett., 532, 116023,
https://doi.org/10.1016/j.epsl.2019.116023, 2020.
a
Hergarten, S. and Robl, J.: Modelling rapid mass movements using the shallow water equations in Cartesian coordinates, Nat. Hazards Earth Syst. Sci., 15, 671–685,
https://doi.org/10.5194/nhess-15-671-2015, 2015.
a
Huber, A., Kofler, A., Rauter, M., Fischer, J.-T., and Adams, M. S.: Simulation of dense snow avalanches with open source software, in: Proceedings of the International Snow Science Workshop, Innsbruck, Austria,
https://arc.lib.montana.edu/snow-science/item/2643 (last access: 18 August 2024), 2018. a
Issler, D., Jenkins, J. T., and McElwaine, J. N.: Comments on avalanche flow models based on the concept of random kinetic energy, J. Glaciol., 64, 148–164,
https://doi.org/10.1017/jog.2017.62, 2018.
a,
b,
c
Iverson, R. M. and George, D. L.: A depth-averaged debris-flow model that includes the effects of evolving dilatancy. I. Physical basis, Proc. Roy. Soc. Lond. A, 470, 2170,
https://doi.org/10.1098/rspa.2013.0819, 2014.
a,
b
Jasak, H.: Error analysis and estimation for the finite volume method with applications to fluid flows, Ph.D. thesis, Imperial College, University of London,
https://www.researchgate.net/publication/230605842_Error_Analysis_and_Estimation_for_the_Finite_Volume_Method_With_Applications_to_Fluid_Flows (last access: 18 August 2024), 1996.
a,
b
Jóhannesson, T., Gauer, P., Issler, P., and Lied, K.: The design of avalanche protection dams. Recent practical and theoretical developments, No. EUR 23339 in Climate Change and Natural Hazard Research Series 2, ISBN 978-92-79-08885-8, 2009.
a,
b,
c
Juretić, F.: cfMesh User Guide, Creative Fields, Zagreb,
https://cfmesh.com/wp-content/uploads/2015/09/User_Guide-cfMesh_v1.1.pdf (last access: 18 August 2024), 2015. a
Köhler, A., McElwaine, J., and Sovilla, B.: GEODAR data and the flow regimes of snow avalanches, J. Geophys. Res.-Earth, 123, 1272–1294,
https://doi.org/10.1002/2017JF004375, 2018.
a
LeVeque, R. J.: Finite volume methods for hyperbolic problems, vol. 31, Cambridge University Press, 2002. a
Løvholt, F., Pedersen, G., Harbitz, C. B., Glimsdal, S., and Kim, J.: On the characteristics of landslide tsunamis, Philos. T. Roy. Soc. A, 373, 20140376,
https://doi.org/10.1098/rsta.2014.0376, 2015.
a
Lucas, A., Mangeney, A., and Ampuero, J. P.: Frictional velocity-weakening in landslides on Earth and on other planetary bodies, Nat. Commun., 5, 1–9,
https://doi.org/10.1038/ncomms4417, 2014.
a
Mergili, M., Fischer, J.-T., Krenn, J., and Pudasaini, S. P.: r.avaflow v1, an advanced open-source computational framework for the propagation and interaction of two-phase mass flows, Geosci. Model Dev., 10, 553–569,
https://doi.org/10.5194/gmd-10-553-2017, 2017.
a
Oesterle, F.: Eiskar-Avalanche event January 2019 (german), Technischer Bericht/Nachrechung, Wildbach- und Lawinenverbauung – Fachzentrum Geologie und Lawinen, 2019.
a,
b,
c,
d
Parker, G., Fukushima, Y., and Pantin, H. M.: Self-accelerating turbidity currents, J. Fluid Mech., 171, 145–181,
https://doi.org/10.1017/S0022112086001404, 1986.
a,
b,
c,
d,
e,
f,
g,
h,
i,
j,
k,
l,
m,
n,
o,
p,
q,
r,
s,
t,
u,
v,
w,
x,
y,
z,
aa,
ab,
ac
Pitman, E. B., Nichita, C. C., Patra, A., Bauer, A., Sheridan, M., and Bursik, M.: Computing granular avalanches and landslides, Phys. Fluids, 15, 3638–3646,
https://doi.org/10.1063/1.1614253, 2003.
a
Pudasaini, S. P., Wang, Y., and Hutter, K.: Rapid motions of free-surface avalanches down curved and twisted channels and their numerical simulation, Philos. T. Roy. Soc. Lond. A, 363, 1551–1571,
https://doi.org/10.1098/rsta.2005.1595, 2005.
a
Rastello, M., Rastello, F., Bellot, H., Ousset, F., Dufour, F., and Meier, L.: Size of snow particles in a powder-snow avalanche, J. Glaciol., 57, 151–156,
https://doi.org/10.3189/002214311795306637, 2011.
a
Rauter, M.: The compressible granular collapse in a fluid as a continuum: validity of a Navier-Stokes model with
μ(J),
ϕ(J)-rheology, J. Fluid Mech., 915, A87,
https://doi.org/10.1017/jfm.2021.107, 2021.
a,
b,
c,
d,
e,
f,
g
Rauter, M.: OpenFOAM Avalanche Module Repository,
https://develop.openfoam.com/Community/avalanche, last access: 18 August 2024. a
Rauter, M. and Tuković, Ž.: A finite area scheme for shallow granular flows on three-dimensional surfaces, Comput. Fluids, 166, 184–199,
https://doi.org/10.1016/j.compfluid.2018.02.017, 2018.
a,
b,
c,
d,
e,
f,
g
Rauter, M., Fischer, J.-T., Fellin, W., and Kofler, A.: Snow avalanche friction relation based on extended kinetic theory, Nat. Hazards Earth Syst. Sci., 16, 2325–2345,
https://doi.org/10.5194/nhess-16-2325-2016, 2016.
a,
b,
c,
d
Rauter, M., Kofler, A., Huber, A., and Fellin, W.: faSavageHutterFOAM 1.0: depth-integrated simulation of dense snow avalanches on natural terrain with OpenFOAM, Geosci. Model Dev., 11, 2923–2939,
https://doi.org/10.5194/gmd-11-2923-2018, 2018.
a,
b,
c,
d,
e,
f,
g,
h,
i,
j,
k,
l,
m,
n
Rauter, M., Viroulet, S., Gylfadóttir, S. S., Fellin, W., and Løvholt, F.: Granular porous landslide tsunami modelling–the 2014 Lake Askja flank collapse, Nat. Commun., 13, 678,
https://doi.org/10.1038/s41467-022-28296-7, 2022.
a,
b
Salm, B., Burkard, A., and Gubler, H. U.: Berechnung von Fliesslawinen: eine Anleitung für Praktiker mit Beispielen, Tech. rep., WSL Institut für Schnee-und Lawinenforschung SLF, Davos,
https://www.dora.lib4ri.ch/wsl/islandora/object/wsl%3A26106 (last access: 18 August 2024), 1990. a
Sampl, P. and Zwinger, T.: Avalanche simulation with SAMOS, Ann. Glaciol., 38, 393–398,
https://doi.org/10.3189/172756404781814780, 2004.
a,
b,
c,
d,
e,
f,
g
Savage, S. B. and Hutter, K.: The motion of a finite mass of granular material down a rough incline, J. Fluid Mech., 199, 177–215,
https://doi.org/10.1017/S0022112089000340, 1989.
a,
b,
c,
d,
e,
f,
g,
h
Savage, S. B. and Hutter, K.: The dynamics of avalanches of granular materials from initiation to runout. Part I: Analysis, Acta Mech., 86, 201–223,
https://doi.org/10.1007/BF01175958, 1991.
a,
b,
c
Shimizu, H. A.: Numerical Simulations of Dome-Collapse Pyroclastic Density Currents Using faSavageHutterFOAM: Application to the 3 June 1991 Eruption of Unzen Volcano, Japan, J. Disaster Res., 17, 768–778,
https://doi.org/10.20965/jdr.2022.p0768, 2022.
a
Sovilla, B., McElwaine, J. N., and Louge, M. Y.: The structure of powder snow avalanches, C. R. Phys., 16, 97–104,
https://doi.org/10.1016/j.crhy.2014.11.005, 2015.
a,
b,
c
Steinkogler, W., Gaume, J., Löwe, H., Sovilla, B., and Lehning, M.: Granulation of snow: From tumbler experiments to discrete element simulations, J. Geophys. Res.-Earth, 120, 1107–1126,
https://doi.org/10.1002/2014JF003294, 2015a.
a
Steinkogler, W., Sovilla, B., and Lehning, M.: Thermal energy in dry snow avalanches, The Cryosphere, 9, 1819–1830,
https://doi.org/10.5194/tc-9-1819-2015, 2015b.
a
Turner, J.: Turbulent entrainment: the development of the entrainment assumption, and its application to geophysical flows, J. Fluid Mech., 173, 431–471,
https://doi.org/10.1017/S0022112086001222, 1986.
a,
b,
c,
d
Vescovi, D., di Prisco, C., and Berzi, D.: From solid to granular gases: the steady state for granular materials, Int. J. Numer. Anal. Met., 37, 2937–2951,
https://doi.org/10.1002/nag.2169, 2013.
a
Viroulet, S., Baker, J., Edwards, A., Johnson, C. G., Gjaltema, C., Clavel, P., and Gray, J.: Multiple solutions for granular flow over a smooth two-dimensional bump, J. Fluid Mech., 815, 77–116,
https://doi.org/10.1017/jfm.2017.41, 2017.
a
