ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

A depth‐averaged two‐phase model for debris flows over erodible beds

Ji Li, Zhixian Cao, Kaiheng Hu, Gareth Pender and Qingquan Liu
Earth Surface Processes and Landforms 43 (4) 817 (2018)
DOI: 10.1002/esp.4283
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Two-dimensional Dynamics Simulation of Two-phase Debris Flow

Wei LIU, Siming HE and Chaojun OUYANG
Acta Geologica Sinica - English Edition 91 (5) 1873 (2017)
DOI: 10.1111/1755-6724.13416
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A closure-independent Generalized Roe solver for free-surface, two-phase flows over mobile bed

Giorgio Rosatti and Lorenzo Begnudelli
Journal of Computational Physics 255 362 (2013)
DOI: 10.1016/j.jcp.2013.08.020
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Computational Challenges in the Geosciences

D. L. George
The IMA Volumes in Mathematics and its Applications, Computational Challenges in the Geosciences 156 25 (2013)
DOI: 10.1007/978-1-4614-7434-0_2
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Sinuous gullies on Mars: Frequency, distribution, and implications for flow properties

N. Mangold, A. Mangeney, V. Migeon, et al.
Journal of Geophysical Research 115 (E11) (2010)
DOI: 10.1029/2009JE003540
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A two-phase model for numerical simulation of debris flows

S. He, W. Liu, C. Ouyang and X. Li
Natural Hazards and Earth System Sciences Discussions 2 (3) 2151 (2014)
DOI: 10.5194/nhessd-2-2151-2014
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TITAN2F: a pseudo-3-D model of 2-phase debris flows

G. Córdoba, M. F. Sheridan and E. B. Pitman
Natural Hazards and Earth System Sciences Discussions 3 (6) 3789 (2015)
DOI: 10.5194/nhessd-3-3789-2015
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A two-phase SPH model for debris flow propagation

M. Pastor, A. Yague, M.M. Stickle, D. Manzanal and P. Mira
International Journal for Numerical and Analytical Methods in Geomechanics 42 (3) 418 (2018)
DOI: 10.1002/nag.2748
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Advances in Numerical Simulation in Physics and Engineering

Enrique D. Fernández-Nieto and Paul Vigneaux
SEMA SIMAI Springer Series, Advances in Numerical Simulation in Physics and Engineering 3 51 (2014)
DOI: 10.1007/978-3-319-02839-2_2
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Recent Advances in Modeling Landslides and Debris Flows

Xiannan Meng and Yongqi Wang
Springer Series in Geomechanics and Geoengineering, Recent Advances in Modeling Landslides and Debris Flows 119 (2015)
DOI: 10.1007/978-3-319-11053-0_11
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A Numerical Model for the Analysis of Rapid Landslide Motion

Teuku Faisal Fathani, Djoko Legono and Dwikorita Karnawati
Geotechnical and Geological Engineering 35 (5) 2253 (2017)
DOI: 10.1007/s10706-017-0241-9
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The space–time CE/SE method for solving single and two-phase shallow flow models

Shamsul Qamar, Saqib Zia and Waqas Ashraf
Computers & Fluids 96 136 (2014)
DOI: 10.1016/j.compfluid.2014.03.015
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A new solver for granular avalanche simulation: Indoor experiment verification and field scale case study

XiaoLiang Wang and JiaChun Li
Science China Physics, Mechanics & Astronomy 60 (12) (2017)
DOI: 10.1007/s11433-017-9093-y
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Shallow two-component gravity-driven flows with vertical variation

Julia Kowalski and Jim N. McElwaine
Journal of Fluid Mechanics 714 434 (2013)
DOI: 10.1017/jfm.2012.489
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Tsunami modelling with adaptively refined finite volume methods

Randall J. LeVeque, David L. George and Marsha J. Berger
Acta Numerica 20 211 (2011)
DOI: 10.1017/S0962492911000043
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A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers

Marica Pelanti, François Bouchut and Anne Mangeney
Journal of Computational Physics 230 (3) 515 (2011)
DOI: 10.1016/j.jcp.2010.10.001
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An exponential time-differencing method for monotonic relaxation systems

Peder Aursand, Steinar Evje, Tore Flåtten, Knut Erik Teigen Giljarhus and Svend Tollak Munkejord
Applied Numerical Mathematics 80 1 (2014)
DOI: 10.1016/j.apnum.2014.01.003
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Nonhydrostatic granular flow over 3-D terrain: New Boussinesq-type gravity waves?

Oscar Castro-Orgaz, Kolumban Hutter, Juan V. Giraldez and Willi H. Hager
Journal of Geophysical Research: Earth Surface 120 (1) 1 (2015)
DOI: 10.1002/2014JF003279
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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)
DOI: 10.1002/ggge.20056
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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)
DOI: 10.1016/j.jocs.2012.04.007
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ADER schemes on unstructured meshes for nonconservative hyperbolic systems: Applications to geophysical flows

Michael Dumbser, Manuel Castro, Carlos Parés and Eleuterio F. Toro
Computers & Fluids 38 (9) 1731 (2009)
DOI: 10.1016/j.compfluid.2009.03.008
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Discrete element modeling of debris-avalanche impact on earthfill barriers

Diana Salciarini, Claudio Tamagnini and Pietro Conversini
Physics and Chemistry of the Earth, Parts A/B/C 35 (3-5) 172 (2010)
DOI: 10.1016/j.pce.2009.05.002
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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)
DOI: 10.1002/2015JF003725
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A Physics-Based Emulator for the Simulation of Geophysical Mass Flows

Asif Mahmood, Robert L. Wolpert and E. Bruce Pitman
SIAM/ASA Journal on Uncertainty Quantification 3 (1) 562 (2015)
DOI: 10.1137/130909445
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A general two-phase debris flow model

Shiva P. Pudasaini
Journal of Geophysical Research: Earth Surface 117 (F3) n/a (2012)
DOI: 10.1029/2011JF002186
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A Simple Extension of the Osher Riemann Solver to Non-conservative Hyperbolic Systems

Michael Dumbser and Eleuterio F. Toro
Journal of Scientific Computing 48 (1-3) 70 (2011)
DOI: 10.1007/s10915-010-9400-3
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Two-dimensional simulation of debris flows over mobile bed: Enhancing the TRENT2D model by using a well-balanced Generalized Roe-type solver

Giorgio Rosatti and Lorenzo Begnudelli
Computers & Fluids 71 179 (2013)
DOI: 10.1016/j.compfluid.2012.10.006
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Weak-strong uniqueness for measure-valued solutions of some compressible fluid models

Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda and Emil Wiedemann
Nonlinearity 28 (11) 3873 (2015)
DOI: 10.1088/0951-7715/28/11/3873
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On weak solutions to the 2D Savage–Hutter model of the motion of a gravity-driven avalanche flow

Eduard Feireisl, Piotr Gwiazda and Agnieszka Świerczewska-Gwiazda
Communications in Partial Differential Equations 41 (5) 759 (2016)
DOI: 10.1080/03605302.2015.1127968
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Modelling and numerical simulation of two-phase debris flows

Xiannan Meng and Yongqi Wang
Acta Geotechnica 11 (5) 1027 (2016)
DOI: 10.1007/s11440-015-0418-4
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Application of a SPH depth-integrated model to landslide run-out analysis

M. Pastor, T. Blanc, B. Haddad, et al.
Landslides 11 (5) 793 (2014)
DOI: 10.1007/s10346-014-0484-y
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Numerical modeling of the Mount Meager landslide constrained by its force history derived from seismic data

L. Moretti, K. Allstadt, A. Mangeney, et al.
Journal of Geophysical Research: Solid Earth 120 (4) 2579 (2015)
DOI: 10.1002/2014JB011426
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A depth-averaged two-phase model for fluvial sediment-laden flows over erodible beds

Ji Li, Zhixian Cao, Honglu Qian, Qingquan Liu and Gareth Pender
Advances in Water Resources 129 338 (2019)
DOI: 10.1016/j.advwatres.2017.08.014
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The Lituya Bay landslide-generated mega-tsunami – numerical simulation and sensitivity analysis

José Manuel González-Vida, Jorge Macías, Manuel Jesús Castro, et al.
Natural Hazards and Earth System Sciences 19 (2) 369 (2019)
DOI: 10.5194/nhess-19-369-2019
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Modelling shallow debris flows of the Coulomb-mixture type over temporally varying topography

Y. C. Tai and C. Y. Kuo
Natural Hazards and Earth System Sciences 12 (2) 269 (2012)
DOI: 10.5194/nhess-12-269-2012
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A kinetic flux-vector splitting method for single-phase and two-phase shallow flows

Saqib Zia and Shamsul Qamar
Computers & Mathematics with Applications 67 (6) 1271 (2014)
DOI: 10.1016/j.camwa.2014.01.015
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Advances in Hydroinformatics

Ilaria Fent, Sylvie Van Emelen and Sandra Soares-Frazão
Springer Water, Advances in Hydroinformatics 1133 (2018)
DOI: 10.1007/978-981-10-7218-5_78
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Granular and particle-laden flows: from laboratory experiments to field observations

R Delannay, A Valance, A Mangeney, O Roche and P Richard
Journal of Physics D: Applied Physics 50 (5) 053001 (2017)
DOI: 10.1088/1361-6463/50/5/053001
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Stabilizing local boundary conditions for two-dimensional shallow water equations

Ben Mansour Dia and Jesper Oppelstrup
Advances in Mechanical Engineering 10 (3) 168781401772695 (2018)
DOI: 10.1177/1687814017726953
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Well-Balanced High-Order Finite Volume Methods for Systems of Balance Laws

Manuel J. Castro and Carlos Parés
Journal of Scientific Computing 82 (2) (2020)
DOI: 10.1007/s10915-020-01149-5
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Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects

E. D. Fernández-Nieto
Springer Proceedings in Mathematics & Statistics, Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects 199 15 (2017)
DOI: 10.1007/978-3-319-57397-7_2
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Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues

M.J. Castro, T. Morales de Luna and C. Parés
Handbook of Numerical Analysis, Handbook of Numerical Methods for Hyperbolic Problems - Applied and Modern Issues 18 131 (2017)
DOI: 10.1016/bs.hna.2016.10.002
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A simple two-phase method for the simulation of complex free surface flows

Michael Dumbser
Computer Methods in Applied Mechanics and Engineering 200 (9-12) 1204 (2011)
DOI: 10.1016/j.cma.2010.10.011
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A Well-Balanced Path-Integral f-Wave Method for Hyperbolic Problems with Source Terms

Randall J. LeVeque
Journal of Scientific Computing 48 (1-3) 209 (2011)
DOI: 10.1007/s10915-010-9411-0
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The GeoClaw software for depth-averaged flows with adaptive refinement

Marsha J. Berger, David L. George, Randall J. LeVeque and Kyle T. Mandli
Advances in Water Resources 34 (9) 1195 (2011)
DOI: 10.1016/j.advwatres.2011.02.016
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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)
DOI: 10.1051/m2an/2014026
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A two-phase model for dry density-varying granular flows

L.T. Sheng, Y.C. Tai, C.Y. Kuo and S.S. Hsiau
Advanced Powder Technology 24 (1) 132 (2013)
DOI: 10.1016/j.apt.2012.04.001
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Numerical Treatment of the Loss of Hyperbolicity of the Two-Layer Shallow-Water System

M. J. Castro-Díaz, E. D. Fernández-Nieto, J. M. González-Vida and C. Parés-Madroñal
Journal of Scientific Computing 48 (1-3) 16 (2011)
DOI: 10.1007/s10915-010-9427-5
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A Hydrodynamic-Based Robust Numerical Model for Debris Hazard and Risk Assessment

Yongde Kang, Jingming Hou, Yu Tong and Baoshan Shi
Sustainability 13 (14) 7955 (2021)
DOI: 10.3390/su13147955
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Asymptotic analysis of the eigenstructure of the two-layer model and a new family of criteria for evaluating the model hyperbolicity

L. Sarno, Y. Wang, Y.-C. Tai, R. Martino and A. Carravetta
Advances in Water Resources 154 103966 (2021)
DOI: 10.1016/j.advwatres.2021.103966
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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)
DOI: 10.1098/rspa.2013.0819
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Numerical simulation of mud-flows impacting structures

Massimo Greco, Cristiana Di Cristo, Michele Iervolino and Andrea Vacca
Journal of Mountain Science 16 (2) 364 (2019)
DOI: 10.1007/s11629-018-5279-5
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A well-posed multilayer model for granular avalanches with μ(I) rheology

L. Sarno, Y.-C. Tai, Y. Wang and M. Oberlack
Physics of Fluids 33 (10) 103319 (2021)
DOI: 10.1063/5.0065697
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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)
DOI: 10.1016/j.jcp.2020.109699
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Exponential stability of shallow water equations with arbitrary time dependent action

Ben Mansour Dia
International Journal of Dynamics and Control 2 (3) 247 (2014)
DOI: 10.1007/s40435-014-0056-y
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Some considerations on numerical schemes for treating hyperbolicity issues in two-layer models

L. Sarno, A. Carravetta, R. Martino, M.N. Papa and Y.-C. Tai
Advances in Water Resources 100 183 (2017)
DOI: 10.1016/j.advwatres.2016.12.014
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A well-balanced path conservative SPH scheme for nonconservative hyperbolic systems with applications to shallow water and multi-phase flows

Giulia Rossi, Michael Dumbser and Aronne Armanini
Computers & Fluids 154 102 (2017)
DOI: 10.1016/j.compfluid.2017.05.034
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A quasi single-phase model for debris flows and its comparison with a two-phase model

Chun-chen Xia, Ji Li, Zhi-xian Cao, Qing-quan Liu and Kai-heng Hu
Journal of Mountain Science 15 (5) 1071 (2018)
DOI: 10.1007/s11629-018-4886-5
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Collocation Methods for High-Order Well-Balanced Methods for Systems of Balance Laws

Irene Gómez-Bueno, Manuel Jesús Castro Díaz, Carlos Parés and Giovanni Russo
Mathematics 9 (15) 1799 (2021)
DOI: 10.3390/math9151799
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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)
DOI: 10.1017/jfm.2016.417
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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)
DOI: 10.1007/s40430-016-0678-4
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Adaptation of f-wave finite volume methods to the Boonkasame–Milewski non-Boussinesq two-layer shallow interfacial sloshing equations coupled to the vessel motion

Hamid Alemi Ardakani
European Journal of Mechanics - B/Fluids 60 33 (2016)
DOI: 10.1016/j.euromechflu.2016.04.012
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Solving two-phase shallow granular flow equations with a well-balanced NOC scheme on multiple GPUs

Jian Zhai, Wei Liu and Li Yuan
Computers & Fluids 134-135 90 (2016)
DOI: 10.1016/j.compfluid.2016.04.032
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Coupled Model of Two-phase Debris Flow, Sediment Transport and Morphological Evolution

Siming HE, Chaojun OUYANG, Wei LIU and Dongpo WANG
Acta Geologica Sinica - English Edition 90 (6) 2206 (2016)
DOI: 10.1111/1755-6724.13031
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A Class of Computationally Fast First Order Finite Volume Solvers: PVM Methods

M. J. Castro Díaz and E. Fernández-Nieto
SIAM Journal on Scientific Computing 34 (4) A2173 (2012)
DOI: 10.1137/100795280
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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)
DOI: 10.1002/esp.4939
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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)
DOI: 10.1007/978-3-319-47971-2_6
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Numerical simulation of the 30–45 ka debris avalanche flow of Montagne Pelée volcano, Martinique: from volcano flank collapse to submarine emplacement

Morgane Brunet, Laurent Moretti, Anne Le Friant, et al.
Natural Hazards 87 (2) 1189 (2017)
DOI: 10.1007/s11069-017-2815-5
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Discontinuous Galerkin method for solving incompressible two-phase shallow granular flow model

Muhammad Rehan Saleem, Ubaid Ahmed Nisar and Shamsul Qamar
Advances in Mechanical Engineering 11 (9) 168781401987490 (2019)
DOI: 10.1177/1687814019874908
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Granular flows in a rotating drum and on an inclined plane: Analytical and numerical solutions

Xiannan Meng, Yongqi Wang, Feng Feng, Chun Wang and Yunlai Zhou
Physics of Fluids 30 (10) 106605 (2018)
DOI: 10.1063/1.5045308
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A depth-averaged two-phase model for debris flows over fixed beds

Ji Li, Zhixian Cao, Kaiheng Hu, Gareth Pender and Qingquan Liu
International Journal of Sediment Research 33 (4) 462 (2018)
DOI: 10.1016/j.ijsrc.2017.06.003
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Analytical implementation of Roe solver for two-layer shallow water equations with accurate treatment for loss of hyperbolicity

Nino Krvavica, Miran Tuhtan and Gordan Jelenić
Advances in Water Resources 122 187 (2018)
DOI: 10.1016/j.advwatres.2018.10.017
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Savage-Hutter model for avalanche dynamics in inclined channels: Analytical solutions

Narcisse Zahibo, Efim Pelinovsky, Tatiana Talipova and Irina Nikolkina
Journal of Geophysical Research 115 (B3) B03402 (2010)
DOI: 10.1029/2009JB006515
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Re-evaluating efficiency of first-order numerical schemes for two-layer shallow water systems by considering different eigenvalue solutions

Nino Krvavica
Advances in Water Resources 137 103508 (2020)
DOI: 10.1016/j.advwatres.2020.103508
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A new efficient formulation of the HLLEM Riemann solver for general conservative and non-conservative hyperbolic systems

Michael Dumbser and Dinshaw S. Balsara
Journal of Computational Physics 304 275 (2016)
DOI: 10.1016/j.jcp.2015.10.014
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A regularization strategy for modeling mixed-sediment river morphodynamics

Víctor Chavarrías, Guglielmo Stecca, Annunziato Siviglia and Astrid Blom
Advances in Water Resources 127 291 (2019)
DOI: 10.1016/j.advwatres.2019.04.001
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Modeling Shallow Over-Saturated Mixtures on Arbitrary Rigid Topography

I. Luca, C. Y. Kuo, K. Hutter and Y. C. Tai
Journal of Mechanics 28 (3) 523 (2012)
DOI: 10.1017/jmech.2012.62
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Edwige Godlewski and Pierre-Arnaud Raviart
118 627 (2021)
DOI: 10.1007/978-1-0716-1344-3_7
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Novel Numerical Approach for 1D Variable Density Shallow Flows over Uneven Rigid and Erodible Beds

Luca Cozzolino, Luigi Cimorelli, Carmine Covelli, Renata Della Morte and Domenico Pianese
Journal of Hydraulic Engineering 140 (3) 254 (2014)
DOI: 10.1061/(ASCE)HY.1943-7900.0000821
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A fifth order WENO scheme for numerical simulation of shallow granular two-phase flow model

Omar Rabbani, Saqib Zia and Asad Rehman
Advances in Mechanical Engineering 13 (9) 168781402110452 (2021)
DOI: 10.1177/16878140211045240
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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)
DOI: 10.1098/rspa.2013.0820
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Geometrically intrinsic modeling of shallow water flows

Elena Bachini and Mario Putti
ESAIM: Mathematical Modelling and Numerical Analysis 54 (6) 2125 (2020)
DOI: 10.1051/m2an/2020031
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A mathematical framework for modelling rock–ice avalanches

Stefania Sansone, D. Zugliani and G. Rosatti
Journal of Fluid Mechanics 919 (2021)
DOI: 10.1017/jfm.2021.348
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Simulation of Initiation, Transport, and Deposition of Granular Avalanches: Current Progress and Future Challenges

Roger P. Denlinger
Procedia IUTAM 10 363 (2014)
DOI: 10.1016/j.piutam.2014.01.031
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A GPU-accelerated Efficient Simulation Tool (EST) for 2D variable-density mud/debris flows over non-uniform erodible beds

S. Martínez-Aranda, J. Murillo and P. García-Navarro
Engineering Geology 296 106462 (2022)
DOI: 10.1016/j.enggeo.2021.106462
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Well-Balanced High-Order Discontinuous Galerkin Methods for Systems of Balance Laws

Ernesto Guerrero Fernández, Cipriano Escalante and Manuel J. Castro Díaz
Mathematics 10 (1) 15 (2021)
DOI: 10.3390/math10010015
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The space–time CESE scheme for shallow water equations incorporating variable bottom topography and horizontal temperature gradients

M. Rehan Saleem, Saqib Zia, Waqas Ashraf, Ishtiaq Ali and Shamsul Qamar
Computers & Mathematics with Applications 75 (3) 933 (2018)
DOI: 10.1016/j.camwa.2017.10.021
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Pressure-Tight and Non-stiff Volume Penalization for Compressible Flows

Julius Reiss
Journal of Scientific Computing 90 (3) (2022)
DOI: 10.1007/s10915-021-01747-x
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A discrete Boltzmann equation model for two-phase shallow granular flows

Michele La Rocca, Andrea Montessori, Pietro Prestininzi and Lakshmanan Elango
Computers & Mathematics with Applications 75 (8) 2814 (2018)
DOI: 10.1016/j.camwa.2018.01.010
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A Quasi-Single-Phase Model for Debris Flows Incorporating Non-Newtonian Fluid Behavior

Chunchen Xia and Haoyong Tian
Water 14 (9) 1369 (2022)
DOI: 10.3390/w14091369
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Formation of dry granular fronts and watery tails in debris flows

Xiannan Meng, C.G. Johnson and J.M.N.T. Gray
Journal of Fluid Mechanics 943 (2022)
DOI: 10.1017/jfm.2022.400
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Shallow Water Hydro-Sediment-Morphodynamic Equations for Fluvial Processes

Zhixian Cao, Chunchen Xia, Gareth Pender and Qingquan Liu
Journal of Hydraulic Engineering 143 (5) (2017)
DOI: 10.1061/(ASCE)HY.1943-7900.0001281
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High-order well-balanced methods for systems of balance laws: a control-based approach

Irene Gómez-Bueno, Manuel J. Castro and Carlos Parés
Applied Mathematics and Computation 394 125820 (2021)
DOI: 10.1016/j.amc.2020.125820
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Two-Dimensional Two-Phase Depth-Integrated Model for Transients over Mobile Bed

Cristiana Di Cristo, Massimo Greco, Michele Iervolino, Angelo Leopardi and Andrea Vacca
Journal of Hydraulic Engineering 142 (2) (2016)
DOI: 10.1061/(ASCE)HY.1943-7900.0001024
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A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer–Nunziato model

Friedemann Kemm, Elena Gaburro, Ferdinand Thein and Michael Dumbser
Computers & Fluids 204 104536 (2020)
DOI: 10.1016/j.compfluid.2020.104536
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A Predictor–corrector scheme for simulation of two-phase granular flows over a moved bed with a variable topography

Kamel Mohamed, Slah Sahmim and Mahmoud A.E. Abdelrahman
European Journal of Mechanics - B/Fluids 96 39 (2022)
DOI: 10.1016/j.euromechflu.2022.07.001
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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)
DOI: 10.1016/j.earscirev.2022.104135
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A two-layer model for the intrusion of two-phase debris flow into a river

Wei Liu and Siming He
Quarterly Journal of Engineering Geology and Hydrogeology 51 (1) 113 (2018)
DOI: 10.1144/qjegh2017-071
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Solving geophysical flow problems in Luxembourg: SPH constitutive review

Kennedy C Onyelowe, Evangelin Ramani Sujatha, Frank I Aneke and Ahmed M Ebid
Cogent Engineering 9 (1) (2022)
DOI: 10.1080/23311916.2022.2122158
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Implicit and semi-implicit well-balanced finite-volume methods for systems of balance laws

I. Gómez-Bueno, S. Boscarino, M.J. Castro, C. Parés and G. Russo
Applied Numerical Mathematics 184 18 (2023)
DOI: 10.1016/j.apnum.2022.09.016
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