SunR. and XiaoH., Diffusion-based coarse graining in hybrid continuum-discrete solvers: Applications in CFD-DEM, International Journal of Multiphase Flow, vol. 72, pp. 233–247, 2015.
WeerasekaraN. S., PowellM. S., ClearyP. W., TavaresL. M., EvertssonM., MorrisonR. D., et al., The contribution of DEM to the science of comminution, Powder Technology, vol. 248, pp. 3–4, 2013.
ZhuH. P., ZhouZ. Y., YangR. Y., and YuA. B., Discrete particle simulation of particulate systems: Theoretical developments, Chemical Engineering Science, vol. 62, pp. 3378–3396, 2007.
CampbellC. S., Computer Simulation of Rapid Granular Flows, in Proceedings of the U.S. National Congress of Applied Mechanics, 1986, pp. 327–338.
YamadaY. and SakaiM., Lagrangian-Lagrangian simulations of solid-liquid flows in a bead mill, Powder Technology, vol. 239, pp. 105–114, 2013.
TsujiY., KawaguchiT., and TanakaT., Discrete particle simulation of two-dimensional fluidized bed, Powder Technology, vol. 77, pp. 79–87, 1993.
ChuK. W., WangB., YuA. B., and VinceA., CFD-DEM modelling of multiphase flow in dense medium cyclones, Powder Technology, vol. 193, pp. 235–247, 2009.
ChuK. W. and YuA. B., Numerical simulation of complex particle-fluid flows, Powder Technology, vol. 179, pp. 104–114, 2008.
KawaguchiT., TanakaT., and TsujiY., Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models), Powder Technology, vol. 96, pp. 129–138, 1998.
RobinsonM., RamaioliM., and LudingS., Fluid-particle flow simulations using two-way-coupled mesoscale SPH-DEM and validation, International Journal of Multiphase Flow, vol. 59, pp. 121–134, 2014.
PotapovA. V., HuntM. L., and CampbellC. S., Liquid-solid flows using smoothed particle hydrodynamics and the discrete element method, Powder Technology, vol. 116, pp. 204–213, 2001.
MonaghanJ. J., An introduction to SPH, Computer Physics Communications, vol. 48, pp. 89–96, 1988.
MonaghanJ. J., Smoothed particle hydrodynamics, Annual Review of Astronomy and Astrophysics, vol. 30, pp. 543–574, 1992.
SinnottM., ClearyP.W., and MorrisonR. D., Slurry flow in a tower mill, Minerals Engineering, vol. 24, pp. 152–159, 2011.
GaoD. and HerbstJ. A., Alternative ways of coupling particle behaviour with fluid dynamics in mineral processing, International Journal of Computational Fluid Dynamics, vol. 23, pp. 109–118, 2009.
ClearyP. W., Prediction of coupled particle and fluid flows using DEM and SPH, Minerals Engineering, vol. 73, pp. 85–99, 2015.
ChuK. W., KuangS. B., YuA. B., and VinceA., Particle scale modelling of the multiphase flow in a dense medium cyclone: Effect of fluctuation of solids flowrate, Minerals Engineering, vol. 33, pp. 34–45, 2012.
SunX., SakaiM., and YamadaY., Three-dimensional simulation of a solid-liquid flow by the DEM-SPH method, Journal of Computational Physics, vol. 248, pp. 147–176, 2013.
DehnenW. and AlyH., Improving convergence in smoothed particle hydrodynamics simulations without pairing instability, Monthly Notices of the Royal Astronomical Society, vol. 425, pp. 1068–1082, 2012.
BelytschkoT., GuoY., LiuW. K., and XiaoS. P., A unified stability analysis of meshless particle methods, International Journal for Numerical Methods in Engineering, vol. 48, pp. 1359–1400, 2000.
SulskyD., ChenZ., and SchreyerH. L., A particle method for history-dependent materials, Computer Methods in Applied Mechanics and Engineering, vol. 118, pp. 179–196, 1994.
LianY., ZhangF., LiuY., and ZhangX., Material point method and its applications, Advances in Mechanics, vol. 43, pp. 237–264, 2013.
BandaraS. and SogaK., Coupling of soil deformation and pore fluid flow using material point method, Computers and Geotechnics, vol. 63, pp. 199–214, 2015.
LiuP., LiuY., ZhangX., and GuanY., Investigation on high-velocity impact of micron particles using material point method, International Journal of Impact Engineering, vol. 75, pp. 241–254, 2015.
ZhangH. W., WangK. P., and ChenZ., Material point method for dynamic analysis of saturated porous media under external contact/impact of solid bodies, Computer Methods in Applied Mechanics and Engineering, vol. 198, pp. 1456–1472, 2009.
York IiA. R., SulskyD., and SchreyerH. L., Fluid-membrane interaction based on the material point method, International Journal for Numerical Methods in Engineering, vol. 48, pp. 901–924, 2000.
Mackenzie-HelnweinP., ArduinoP., ShinW., MooreJ. A., and MillerG. R., Modeling strategies for multiphase drag interactions using the material point method, International Journal for Numerical Methods in Engineering, vol. 83, pp. 295–322, 2010.
ZhangD. Z., ZouQ., VanderHeydenW. B., and MaX., Material point method applied to multiphase flows, Journal of Computational Physics, vol. 227, pp. 3159–3173, 2008.
TranL. T., KimJ., and BerzinsM., Solving time-dependent PDEs using the material point method, a case study from gas dynamics, International Journal for Numerical Methods in Fluids, vol. 62, pp. 709–732, 2010.
ChenZ., ShenL., MaiY. W., and ShenY. G., A bifurcation-based decohesion model for simulating the transition from localization to decohesion with the MPM, Zeitschrift fur Angewandte Mathematik und Physik, vol. 56, pp. 908–930, 2005.
GanY., ChenZ., and Montgomery-SmithS., Improved material point method for simulating the zona failure response in piezo-assisted intracytoplasmic sperm injection, Computer Modeling in Engineering and Sciences, vol. 73, pp. 45–75, 2011.
ZhangX., SzeK. Y., and MaS., An explicit material point finite element method for hypervelocity impact, International Journal for Numerical Methods in Engineering, vol. 66, pp. 689–706, 2006.
MaoS., Material point method and adaptive meshing applied to fluid-structure interaction (FSI) problems, in American Society of Mechanical Engineers, Fluids Engineering Division (Publication) FEDSM, 2013.
JiangS., ChenZ., SewellT. D., and GanY., Multiscale simulation of the responses of discrete nanostructures to extreme loading conditions based on the material point method, Computer Methods in Applied Mechanics and Engineering, vol. 297, pp. 219–238, 2015.
JinZ., YuanY., and SongM., Interior Ballistics: Beijing Institute of Technology Press, 1992.
BrennenC. E., Fundamentals of Multiphase Flows: Cambridge University Press, 2005.
KawaguchiT., TanakaT., and TsujiY., Numerical simulation of two-dimensional fluidized beds using DEM (The case of spouted bed: Comparison between 2-D model and 3-D model), Nippon Kikai Gakkai Ronbunshu, B Hen/Transactions of the Japan Society of Mechanical Engineers, Part B, vol. 61, pp. 3169–3175, 1995.
ErgunS., Fluid flow through packed columns, Chemical Engineering and Processing, vol. 48, pp. 89–94, 1952.
AndersonT. B. and JacksonR., A fluid mechanical description of fluidized beds: Equations of motion, Industrial and Engineering Chemistry Fundamentals, vol. 6, pp. 527–539, 1967.
CundallP. A. and StrackO. D. L., A discrete numerical model for granular assemblies, Geotechnique, vol. 29, pp. 47–65, 1979.
WenC. Y. and YuY. H., Mechanics of fluidization, A.I.Ch.E. Series, vol. 62, pp. 100–111, 1966.
BuzziO., PedrosoD. M., and GiacomlnlA., Caveats on the implementation of the generalized material point method, Computer Modeling in Engineering and Sciences, vol. 31, pp. 85–106, 2008.
MastC. M., Mackenzie-HelnweinP., ArduinoP., MillerG. R., and ShinW., Mitigating kinematic locking in the material point method, Journal of Computational Physics, vol. 231, pp. 5351–5373, 2012.
MartinJ. and MoyceW., An experimental study of the collapse of liquid columns on a rigid horizontal plane, Philosophical Transactions of the Royal Society of London, vol. 244, pp. 312–324, 1952.
HumphreyW., DalkeA., and SchultenK., VMD – Visual molecular dynamics, Journal of Molecular Graphics, vol. 14, pp. 33–38, 1996.