Skip to main content
    • Aa
    • Aa

Combined MPM-DEM for Simulating the Interaction Between Solid Elements and Fluid Particles

  • Youqing Yang (a1) (a2), Pengtao Sun (a3) and Zhen Chen (a1)

How to effectively simulate the interaction between fluid and solid elements of different sizes remains to be challenging. The discrete element method (DEM) has been used to deal with the interactions between solid elements of various shapes and sizes, while the material point method (MPM) has been developed to handle the multiphase (solid-liquid-gas) interactions involving failure evolution. A combined MPM-DEM procedure is proposed to take advantage of both methods so that the interaction between solid elements and fluid particles in a container could be better simulated. In the proposed procedure, large solid elements are discretized by the DEM, while the fluid motion is computed using the MPM. The contact forces between solid elements and rigid walls are calculated using the DEM. The interaction between solid elements and fluid particles are calculated via an interfacial scheme within the MPM framework. With a focus on the boundary condition effect, the proposed procedure is illustrated by representative examples, which demonstrates its potential for a certain type of engineering problems.

Corresponding author
*Corresponding author. Email addresses:, (Y. Yan), (P. Sun), (Z. Chen)
Linked references
Hide All

This list contains references from the content that can be linked to their source. For a full set of references and notes please see the PDF or HTML where available.

[1] R. Sun and H. Xiao , Diffusion-based coarse graining in hybrid continuum-discrete solvers: Applications in CFD-DEM, International Journal of Multiphase Flow, vol. 72, pp. 233247, 2015.

[2] N. S. Weerasekara , M. S. Powell , P. W. Cleary , L. M. Tavares , M. Evertsson , R. D. Morrison , et al., The contribution of DEM to the science of comminution, Powder Technology, vol. 248, pp. 34, 2013.

[3] H. P. Zhu , Z. Y. Zhou , R. Y. Yang , and A. B. Yu , Discrete particle simulation of particulate systems: Theoretical developments, Chemical Engineering Science, vol. 62, pp. 33783396, 2007.

[5] Y. Yamada and M. Sakai , Lagrangian-Lagrangian simulations of solid-liquid flows in a bead mill, Powder Technology, vol. 239, pp. 105114, 2013.

[6] Y. Tsuji , T. Kawaguchi , and T. Tanaka , Discrete particle simulation of two-dimensional fluidized bed, Powder Technology, vol. 77, pp. 7987, 1993.

[7] K. W. Chu , B. Wang , A. B. Yu , and A. Vince , CFD-DEM modelling of multiphase flow in dense medium cyclones, Powder Technology, vol. 193, pp. 235247, 2009.

[8] K. W. Chu and A. B. Yu , Numerical simulation of complex particle-fluid flows, Powder Technology, vol. 179, pp. 104114, 2008.

[9] T. Kawaguchi , T. Tanaka , and Y. Tsuji , 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. 129138, 1998.

[10] M. Robinson , M. Ramaioli , and S. Luding , Fluid-particle flow simulations using two-way-coupled mesoscale SPH-DEM and validation, International Journal of Multiphase Flow, vol. 59, pp. 121134, 2014.

[11] A. V. Potapov , M. L. Hunt , and C. S. Campbell , Liquid-solid flows using smoothed particle hydrodynamics and the discrete element method, Powder Technology, vol. 116, pp. 204213, 2001.

[12] J. J. Monaghan , An introduction to SPH, Computer Physics Communications, vol. 48, pp. 8996, 1988.

[13] J. J. Monaghan , Smoothed particle hydrodynamics, Annual Review of Astronomy and Astrophysics, vol. 30, pp. 543574, 1992.

[14] M. Sinnott , P.W. Cleary , and R. D. Morrison , Slurry flow in a tower mill, Minerals Engineering, vol. 24, pp. 152159, 2011.

[15] D. Gao and J. A. Herbst , Alternative ways of coupling particle behaviour with fluid dynamics in mineral processing, International Journal of Computational Fluid Dynamics, vol. 23, pp. 109118, 2009.

[16] P. W. Cleary , Prediction of coupled particle and fluid flows using DEM and SPH, Minerals Engineering, vol. 73, pp. 8599, 2015.

[17] K. W. Chu , S. B. Kuang , A. B. Yu , and A. Vince , Particle scale modelling of the multiphase flow in a dense medium cyclone: Effect of fluctuation of solids flowrate, Minerals Engineering, vol. 33, pp. 3445, 2012.

[18] X. Sun , M. Sakai , and Y. Yamada , Three-dimensional simulation of a solid-liquid flow by the DEM-SPH method, Journal of Computational Physics, vol. 248, pp. 147176, 2013.

[19] W. Dehnen and H. Aly , Improving convergence in smoothed particle hydrodynamics simulations without pairing instability, Monthly Notices of the Royal Astronomical Society, vol. 425, pp. 10681082, 2012.

[20] T. Belytschko , Y. Guo , W. K. Liu , and S. P. Xiao , A unified stability analysis of meshless particle methods, International Journal for Numerical Methods in Engineering, vol. 48, pp. 13591400, 2000.

[21] D. Sulsky , Z. Chen , and H. L. Schreyer , A particle method for history-dependent materials, Computer Methods in Applied Mechanics and Engineering, vol. 118, pp. 179196, 1994.

[23] S. Bandara and K. Soga , Coupling of soil deformation and pore fluid flow using material point method, Computers and Geotechnics, vol. 63, pp. 199214, 2015.

[24] P. Liu , Y. Liu , X. Zhang , and Y. Guan , Investigation on high-velocity impact of micron particles using material point method, International Journal of Impact Engineering, vol. 75, pp. 241254, 2015.

[25] H. W. Zhang , K. P. Wang , and Z. Chen , 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. 14561472, 2009.

[26] A. R. York Ii , D. Sulsky , and H. L. Schreyer , Fluid-membrane interaction based on the material point method, International Journal for Numerical Methods in Engineering, vol. 48, pp. 901924, 2000.

[28] D. Z. Zhang , Q. Zou , W. B. VanderHeyden , and X. Ma , Material point method applied to multiphase flows, Journal of Computational Physics, vol. 227, pp. 31593173, 2008.

[30] Z. Chen , L. Shen , Y. W. Mai , and Y. G. Shen , 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. 908930, 2005.

[32] X. Zhang , K. Y. Sze , and S. Ma , An explicit material point finite element method for hypervelocity impact, International Journal for Numerical Methods in Engineering, vol. 66, pp. 689706, 2006.

[34] S. Jiang , Z. Chen , T. D. Sewell , and Y. Gan , 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. 219238, 2015.

[39] T. B. Anderson and R. Jackson , A fluid mechanical description of fluidized beds: Equations of motion, Industrial and Engineering Chemistry Fundamentals, vol. 6, pp. 527539, 1967.

[40] P. A. Cundall and O. D. L. Strack , A discrete numerical model for granular assemblies, Geotechnique, vol. 29, pp. 4765, 1979.

[43] C. M. Mast , P. Mackenzie-Helnwein , P. Arduino , G. R. Miller , and W. Shin , Mitigating kinematic locking in the material point method, Journal of Computational Physics, vol. 231, pp. 53515373, 2012.

[44] J. Martin and W. Moyce , 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. 312324, 1952.

[45] W. Humphrey , A. Dalke , and K. Schulten , VMD – Visual molecular dynamics, Journal of Molecular Graphics, vol. 14, pp. 3338, 1996.

Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Communications in Computational Physics
  • ISSN: 1815-2406
  • EISSN: 1991-7120
  • URL: /core/journals/communications-in-computational-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *



Full text views

Total number of HTML views: 0
Total number of PDF views: 25 *
Loading metrics...

Abstract views

Total abstract views: 124 *
Loading metrics...

* Views captured on Cambridge Core between 27th March 2017 - 21st July 2017. This data will be updated every 24 hours.