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

Part of: Basic methods in fluid mechanics Coupling of solid mechanics with other effects

Published online by Cambridge University Press:  27 March 2017

Youqing Yang ,
Pengtao Sun  and
Zhen Chen
Youqing Yang*
Affiliation:
Department of Civil & Environmental Engineering, University of Missouri, Columbia, MO 65211, USA Department of Technology Development, Me Global Inc., Minneapolis, MN 55421, USA
Pengtao Sun*
Affiliation:
Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, NV 89154, USA
Zhen Chen*
Affiliation:
Department of Civil & Environmental Engineering, University of Missouri, Columbia, MO 65211, USA
*
*Corresponding author. Email addresses:[email protected], [email protected] (Y. Yan), [email protected] (P. Sun), [email protected] (Z. Chen)
*Corresponding author. Email addresses:[email protected], [email protected] (Y. Yan), [email protected] (P. Sun), [email protected] (Z. Chen)
*Corresponding author. Email addresses:[email protected], [email protected] (Y. Yan), [email protected] (P. Sun), [email protected] (Z. Chen)
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Abstract

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.

Keywords

Multiphase flowsolid-fluid interactionmaterial point method (MPM)discrete element method (DEM)

MSC classification

Secondary: 65Z05: Applications to physics 76M28: Particle methods and lattice-gas methods 74F10: Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
Type
Research Article
Information
Communications in Computational Physics , Volume 21 , Issue 5 , May 2017 , pp. 1258 - 1281
Copyright
Copyright © Global-Science Press 2017 

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References

[1] Sun, R. and Xiao, H., Diffusion-based coarse graining in hybrid continuum-discrete solvers: Applications in CFD-DEM, International Journal of Multiphase Flow, vol. 72, pp. 233–247, 2015.Google Scholar
[2] Weerasekara, N. S., Powell, M. S., Cleary, P. W., Tavares, L. M., Evertsson, M., Morrison, R. D., et al., The contribution of DEM to the science of comminution, Powder Technology, vol. 248, pp. 3–4, 2013.Google Scholar
[3] Zhu, H. P., Zhou, Z. Y., Yang, R. Y., and Yu, A. B., Discrete particle simulation of particulate systems: Theoretical developments, Chemical Engineering Science, vol. 62, pp. 3378–3396, 2007.Google Scholar
[4] Campbell, C. S., Computer Simulation of Rapid Granular Flows, in Proceedings of the U.S. National Congress of Applied Mechanics, 1986, pp. 327–338.Google Scholar
[5] Yamada, Y. and Sakai, M., Lagrangian-Lagrangian simulations of solid-liquid flows in a bead mill, Powder Technology, vol. 239, pp. 105–114, 2013.Google Scholar
[6] Tsuji, Y., Kawaguchi, T., and Tanaka, T., Discrete particle simulation of two-dimensional fluidized bed, Powder Technology, vol. 77, pp. 79–87, 1993.CrossRefGoogle Scholar
[7] Chu, K. W., Wang, B., Yu, A. B., and Vince, A., CFD-DEM modelling of multiphase flow in dense medium cyclones, Powder Technology, vol. 193, pp. 235–247, 2009.Google Scholar
[8] Chu, K. W. and Yu, A. B., Numerical simulation of complex particle-fluid flows, Powder Technology, vol. 179, pp. 104–114, 2008.Google Scholar
[9] Kawaguchi, T., Tanaka, T., and Tsuji, Y., 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.Google Scholar
[10] Robinson, M., Ramaioli, M., and Luding, S., Fluid-particle flow simulations using two-way-coupled mesoscale SPH-DEM and validation, International Journal of Multiphase Flow, vol. 59, pp. 121–134, 2014.Google Scholar
[11] Potapov, A. V., Hunt, M. L., and Campbell, C. S., Liquid-solid flows using smoothed particle hydrodynamics and the discrete element method, Powder Technology, vol. 116, pp. 204–213, 2001.Google Scholar
[12] Monaghan, J. J., An introduction to SPH, Computer Physics Communications, vol. 48, pp. 89–96, 1988.Google Scholar
[13] Monaghan, J. J., Smoothed particle hydrodynamics, Annual Review of Astronomy and Astrophysics, vol. 30, pp. 543–574, 1992.Google Scholar
[14] Sinnott, M., Cleary, P.W., and Morrison, R. D., Slurry flow in a tower mill, Minerals Engineering, vol. 24, pp. 152–159, 2011.Google Scholar
[15] Gao, D. and Herbst, J. 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.CrossRefGoogle Scholar
[16] Cleary, P. W., Prediction of coupled particle and fluid flows using DEM and SPH, Minerals Engineering, vol. 73, pp. 85–99, 2015.Google Scholar
[17] Chu, K. W., Kuang, S. B., Yu, A. B., and Vince, A., 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.Google Scholar
[18] Sun, X., Sakai, M., and Yamada, Y., Three-dimensional simulation of a solid-liquid flow by the DEM-SPH method, Journal of Computational Physics, vol. 248, pp. 147–176, 2013.Google Scholar
[19] Dehnen, W. and Aly, H., Improving convergence in smoothed particle hydrodynamics simulations without pairing instability, Monthly Notices of the Royal Astronomical Society, vol. 425, pp. 1068–1082, 2012.Google Scholar
[20] Belytschko, T., Guo, Y., Liu, W. K., and Xiao, S. P., A unified stability analysis of meshless particle methods, International Journal for Numerical Methods in Engineering, vol. 48, pp. 1359–1400, 2000.Google Scholar
[21] Sulsky, D., Chen, Z., and Schreyer, H. L., A particle method for history-dependent materials, Computer Methods in Applied Mechanics and Engineering, vol. 118, pp. 179–196, 1994.Google Scholar
[22] Lian, Y., Zhang, F., Liu, Y., and Zhang, X., Material point method and its applications, Advances in Mechanics, vol. 43, pp. 237–264, 2013.Google Scholar
[23] Bandara, S. and Soga, K., Coupling of soil deformation and pore fluid flow using material point method, Computers and Geotechnics, vol. 63, pp. 199–214, 2015.Google Scholar
[24] Liu, P., Liu, Y., Zhang, X., and Guan, Y., Investigation on high-velocity impact of micron particles using material point method, International Journal of Impact Engineering, vol. 75, pp. 241–254, 2015.CrossRefGoogle Scholar
[25] Zhang, H. W., Wang, K. P., and Chen, Z., 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.Google Scholar
[26] York Ii, A. R., Sulsky, D., and Schreyer, H. L., Fluid-membrane interaction based on the material point method, International Journal for Numerical Methods in Engineering, vol. 48, pp. 901–924, 2000.Google Scholar
[27] Mackenzie-Helnwein, P., Arduino, P., Shin, W., Moore, J. A., and Miller, G. 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.CrossRefGoogle Scholar
[28] Zhang, D. Z., Zou, Q., VanderHeyden, W. B., and Ma, X., Material point method applied to multiphase flows, Journal of Computational Physics, vol. 227, pp. 3159–3173, 2008.Google Scholar
[29] Tran, L. T., Kim, J., and Berzins, M., 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.Google Scholar
[30] Chen, Z., Shen, L., Mai, Y. W., and Shen, Y. 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.Google Scholar
[31] Gan, Y., Chen, Z., and Montgomery-Smith, S., 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.Google Scholar
[32] Zhang, X., Sze, K. Y., and Ma, S., An explicit material point finite element method for hypervelocity impact, International Journal for Numerical Methods in Engineering, vol. 66, pp. 689–706, 2006.CrossRefGoogle Scholar
[33] Mao, S., 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.Google Scholar
[34] Jiang, S., Chen, Z., Sewell, T. D., and Gan, Y., 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.Google Scholar
[35] Jin, Z., Yuan, Y., and Song, M., Interior Ballistics: Beijing Institute of Technology Press, 1992.Google Scholar
[36] Brennen, C. E., Fundamentals of Multiphase Flows: Cambridge University Press, 2005.Google Scholar
[37] Kawaguchi, T., Tanaka, T., and Tsuji, Y., 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.Google Scholar
[38] Ergun, S., Fluid flow through packed columns, Chemical Engineering and Processing, vol. 48, pp. 89–94, 1952.Google Scholar
[39] Anderson, T. B. and Jackson, R., A fluid mechanical description of fluidized beds: Equations of motion, Industrial and Engineering Chemistry Fundamentals, vol. 6, pp. 527–539, 1967.Google Scholar
[40] Cundall, P. A. and Strack, O. D. L., A discrete numerical model for granular assemblies, Geotechnique, vol. 29, pp. 47–65, 1979.Google Scholar
[41] Wen, C. Y. and Yu, Y. H., Mechanics of fluidization, A.I.Ch.E. Series, vol. 62, pp. 100–111, 1966.Google Scholar
[42] Buzzi, O., Pedroso, D. M., and Giacomlnl, A., Caveats on the implementation of the generalized material point method, Computer Modeling in Engineering and Sciences, vol. 31, pp. 85–106, 2008.Google Scholar
[43] Mast, C. M., Mackenzie-Helnwein, P., Arduino, P., Miller, G. R., and Shin, W., Mitigating kinematic locking in the material point method, Journal of Computational Physics, vol. 231, pp. 5351–5373, 2012.Google Scholar
[44] Martin, J. and Moyce, W., 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.Google Scholar
[45] Humphrey, W., Dalke, A., and Schulten, K., VMD – Visual molecular dynamics, Journal of Molecular Graphics, vol. 14, pp. 33–38, 1996.Google Scholar