Abstract
Geophysical hazards, such as avalanches, debris flows and submarine landslides, involve rapid and large mass movement of granular solids, water and air as a multi-phase system. The momentum transfer between the discrete and continuous phases significantly affect the dynamics of the movement. This study aims to understand the ability of continuum models in capturing the micro - mechanism of granular flow dynamics. Most macroscopic models are able to capture simple mechanical behaviours, however the complex physical mechanisms that occur at the grain scale, such as hydrodynamic instabilities, the formation of clusters, collapse, and transport, have largely been ignored. In this study, to understand the evolution of immersed granular flows, Material Point Method (MPM), a hybrid Lagrangian and Eulerian approach is used to describe the continuum behaviour of granular flow dynamics, while the micro-mechanics is captured using Discrete Element Method coupled with the Lattice Boltzmann Method (LBM) for fluid grain interactions. The effect of hydrodynamic forces and hydroplaning on the run-out evolution is analysed by comparing the mechanism of energy dissipation and flow evolution in dry and immersed granular flows.
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References
Bardenhagen, S.G., J.U. Brackbill, and D. Sulsky. 2000. The material-point method for granular materials. Computer Methods in Applied Mechanics and Engineering 187 (3–4): 529–541.
Cambou, B., M. Jean, and F. Radjaï. 2009. Micromechanics of granular materials. Wiley-ISTE.
Denlinger, R.P., and R.M. Iverson. 2001. Flow of variably fluidized granular masses across three-dimensional terrain, ii: Numerical predictions and experimental tests. Journal Geophysical Research 106 (B1): 553–566.
He, X., and L.-S. Luo. 1997. Theory of the lattice Boltzmann method: From the Boltzmann equation to the lattice Boltzmann equation. Physical Review E 56 (6): 6811–6817. https://doi.org/10.1103/PhysRevE.56.6811.
Kumar, K., K. Soga, and J.-Y. Delenne. 2012. Granular flows in fluid. In Discrete element modelling of particulate media, ed. C.-Y. Wu. Cambridge: Royal Society of Chemistry. http://doi.org/10.1039/9781849735032.
Lajeunesse, E., J.B. Monnier, and G.M. Homsy. 2005. Granular slumping on a horizontal surface. Physics of Fluids 17 (10).
Lube, G., H.E. Huppert, R.S.J. Sparks, and A. Freundt. 2005. Collapses of two-dimensional granular columns. Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 72 (4): 1–10.
Luding, S. 2008. Cohesive, frictional powders: Contact models for tension. Granular Matter 10 (4): 235–246. https://doi.org/10.1007/s10035-008-0099-x.
Pitman, E.B., and L. Le. 2005. A two-fluid model for avalanche and debris flows. Philosophical Transactions: Mathematical, Physical and Engineering Sciences 363 (1832): 1573–1601.
Soga, K., E. Alonso, A. Yerro, K. Kumar, and S. Bandara. 2016. Trends in large-deformation analysis of landslide mass movements with particular emphasis on the material point method. G{é}otechnique 66 (3): 248–273. article.
Soundararajan, K.K. 2015. Multi-scale multiphase modelling of granular flows. Ph.D. thesis, University of Cambridge.
Staron, L., and E.J. Hinch. 2007. The spreading of a granular mass: Role of grain properties and initial conditions. Granular Matter 9 (3–4): 205–217.
Sulsky, D., Z. Chen, and H.L. Schreyer. 1994. A particle method for history-dependent materials. Computer Methods in Applied Mechanics and Engineering 118 (1–2): 179–196.
Topin, V., F. Dubois, Y. Monerie, F. Perales, and A. Wachs. 2011. Micro-rheology of dense particulate flows: Application to immersed avalanches. Journal of Non-Newtonian Fluid Mechanics 166 (1–2): 63–72.
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Kumar, K., Soga, K. (2019). Large Deformation Modelling in Geomechanics. In: Ilamparuthi, K., Robinson, R. (eds) Geotechnical Design and Practice. Developments in Geotechnical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-0505-4_21
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DOI: https://doi.org/10.1007/978-981-13-0505-4_21
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