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A series of two-phase models for grain–fluid flows with dilatancy
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Granular-fluid avalanches: the role of vertical structure and velocity shear
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Mixing-phase model for shear-induced contractive/dilative effects in unsteady water-sediment mixture flows
Efficient Finite Difference WENO Scheme for Hyperbolic Systems with Non-conservative Products
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Recasting an operator splitting solver into a standard finite volume flux-based algorithm. The case of a Lagrange-projection-type method for gas dynamics
Efficient Alternative Finite Difference WENO Schemes for Hyperbolic Systems with Non-conservative Products
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A central-upwind scheme for two-phase shallow granular flow model
Hossam A. Nabwey, Shahid Mehmood, Saqib Zia, Asad Rehman, Muhammad Ashraf and A.M. Rashad Alexandria Engineering Journal 82 291 (2023) https://doi.org/10.1016/j.aej.2023.09.079
Particle-size segregation in self-channelized granular flows
A Depth‐Averaged Description of Submarine Avalanche Flows and Induced Surface Waves
W. Sun, X. Meng, Y. Wang, S. S. Hsiau and Z. You Journal of Geophysical Research: Earth Surface 128(4) (2023) https://doi.org/10.1029/2022JF006893
An overview of debris-flow mathematical modelling
Mario Germán Trujillo-Vela, Alfonso Mariano Ramos-Cañón, Jorge Alberto Escobar-Vargas and Sergio Andrés Galindo-Torres Earth-Science Reviews 232 104135 (2022) https://doi.org/10.1016/j.earscirev.2022.104135
A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior
Numerical Approximation of Hyperbolic Systems of Conservation Laws
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Grain‐energy release governs mobility of debris flow due to solid–liquid mass release
Zhixian Cao, Ji Li, Alistair Borthwick, Qingquan Liu and Gareth Pender Earth Surface Processes and Landforms 45(12) 2912 (2020) https://doi.org/10.1002/esp.4939
Well-Balanced High-Order Finite Volume Methods for Systems of Balance Laws
Multilayer models for shallow two-phase debris flows with dilatancy effects
J. Garres-Díaz, F. Bouchut, E.D. Fernández-Nieto, A. Mangeney and G. Narbona-Reina Journal of Computational Physics 419 109699 (2020) https://doi.org/10.1016/j.jcp.2020.109699
Re-evaluating efficiency of first-order numerical schemes for two-layer shallow water systems by considering different eigenvalue solutions
The Lituya Bay landslide-generated mega-tsunami – numerical simulation and sensitivity analysis
José Manuel González-Vida, Jorge Macías, Manuel Jesús Castro, Carlos Sánchez-Linares, Marc de la Asunción, Sergio Ortega-Acosta and Diego Arcas Natural Hazards and Earth System Sciences 19(2) 369 (2019) https://doi.org/10.5194/nhess-19-369-2019
A depth-averaged two-phase model for fluvial sediment-laden flows over erodible beds
A depth‐averaged two‐phase model for debris flows over erodible beds
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Granular flows in a rotating drum and on an inclined plane: Analytical and numerical solutions
A discrete Boltzmann equation model for two-phase shallow granular flows
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A quasi single-phase model for debris flows and its comparison with a two-phase model
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A new solver for granular avalanche simulation: Indoor experiment verification and field scale case study
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Non-Hydrostatic Free Surface Flows
Oscar Castro-Orgaz and Willi H. Hager Advances in Geophysical and Environmental Mechanics and Mathematics, Non-Hydrostatic Free Surface Flows 563 (2017) https://doi.org/10.1007/978-3-319-47971-2_6
A space–time CESE scheme for shallow water magnetohydrodynamics equations with variable bottom topography
M. Rehan Saleem, Saqib Zia and Shamsul Qamar Journal of the Brazilian Society of Mechanical Sciences and Engineering 39(5) 1563 (2017) https://doi.org/10.1007/s40430-016-0678-4
Coupled Model of Two‐phase Debris Flow, Sediment Transport and Morphological Evolution
A two-phase two-layer model for fluidized granular flows with dilatancy effects
François Bouchut, Enrique D. Fernández-Nieto, Anne Mangeney and Gladys Narbona-Reina Journal of Fluid Mechanics 801 166 (2016) https://doi.org/10.1017/jfm.2016.417
Adaptation of f-wave finite volume methods to the Boonkasame–Milewski non-Boussinesq two-layer shallow interfacial sloshing equations coupled to the vessel motion
Effects of coarse grain size distribution and fine particle content on pore fluid pressure and shear behavior in experimental debris flows
Roland Kaitna, Marisa C. Palucis, Bereket Yohannes, Kimberly M. Hill and William E. Dietrich Journal of Geophysical Research: Earth Surface 121(2) 415 (2016) https://doi.org/10.1002/2015JF003725
A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems
A two-phase shallow debris flow model with energy balance
F. Bouchut, E.D. Fernández-Nieto, A. Mangeney and G. Narbona-Reina ESAIM: Mathematical Modelling and Numerical Analysis 49(1) 101 (2015) https://doi.org/10.1051/m2an/2014026
Numerical modeling of the Mount Meager landslide constrained by its force history derived from seismic data
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Weak-strong uniqueness for measure-valued solutions of some compressible fluid models
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TITAN2F: a pseudo-3-D model of 2-phase debris flows
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Nonhydrostatic granular flow over 3-D terrain: New Boussinesq-type gravity waves?
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Simulation of Initiation, Transport, and Deposition of Granular Avalanches: Current Progress and Future Challenges
Advances in Numerical Simulation in Physics and Engineering
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Novel Numerical Approach for 1D Variable Density Shallow Flows over Uneven Rigid and Erodible Beds
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. I. Physical basis
Richard M. Iverson and David L. George Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470(2170) 20130819 (2014) https://doi.org/10.1098/rspa.2013.0819
The space–time CE/SE method for solving single and two-phase shallow flow models
A depth-averaged debris-flow model that includes the effects of evolving dilatancy. II. Numerical predictions and experimental tests
David L. George and Richard M. Iverson Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470(2170) 20130820 (2014) https://doi.org/10.1098/rspa.2013.0820
High‐resolution bathymetry reveals contrasting landslide activity shaping the walls of the Mid‐Atlantic Ridge axial valley
Mathilde Cannat, Anne Mangeney, Hélène Ondréas, Yves Fouquet and Alain Normand Geochemistry, Geophysics, Geosystems 14(4) 996 (2013) https://doi.org/10.1002/ggge.20056
A two-phase model for dry density-varying granular flows
Two phase simulations of glacier lake outburst flows
E. Bruce Pitman, Abani K. Patra, Dinesh Kumar, Kouichi Nishimura and Jiro Komori Journal of Computational Science 4(1-2) 71 (2013) https://doi.org/10.1016/j.jocs.2012.04.007