Computational modeling of free-surface slurry flow problems using particle simulation method

Chong-bin Zhao , Sheng-lin Peng , Liang-ming Liu , B. E. Hobbs , A. Ord

Journal of Central South University ›› 2013, Vol. 20 ›› Issue (6) : 1653 -1660.

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Journal of Central South University ›› 2013, Vol. 20 ›› Issue (6) : 1653 -1660. DOI: 10.1007/s11771-013-1659-8
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Computational modeling of free-surface slurry flow problems using particle simulation method

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Abstract

The particle simulation method is used to solve free-surface slurry flow problems that may be encountered in several scientific and engineering fields. The main idea behind the use of the particle simulation method is to treat granular or other materials as an assembly of many particles. Compared with the continuum-mechanics-based numerical methods such as the finite element and finite volume methods, the movement of each particle is accurately described in the particle simulation method so that the free surface of a slurry flow problem can be automatically obtained. The major advantage of using the particle simulation method is that only a simple numerical algorithm is needed to solve the governing equation of a particle simulation system. For the purpose of illustrating how to use the particle simulation method to solve free-surface flow problems, three examples involving slurry flow on three different types of river beds have been considered. The related particle simulation results obtained from these three examples have demonstrated that: 1) The particle simulation method is a promising and useful method for solving free-surface flow problems encountered in both the scientific and engineering fields; 2) The shape and irregular roughness of a river bed can have a significant effect on the free surface morphologies of slurry flow when it passes through the river bed.

Keywords

particle simulation / free surface / slurry flow / numerical method

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Chong-bin Zhao, Sheng-lin Peng, Liang-ming Liu, B. E. Hobbs, A. Ord. Computational modeling of free-surface slurry flow problems using particle simulation method. Journal of Central South University, 2013, 20(6): 1653-1660 DOI:10.1007/s11771-013-1659-8

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References

[1]

RamaswamyB, KawaharaM. Lagrangian finite-element analysis applied to viscous free-surface fluid flow [J]. International Journal for Numerical Methods in Fluids, 1987, 7(9): 953-984

[2]

MuttinF, CoupezT, BelletM, ChenotJ L. Lagrangian finite-element analysis of time-dependent free-surface flow using an automatic remeshing technique: Application to metal casting [J]. International Journal for Numerical Methods in Engineering, 1993, 36(12): 2001-2015

[3]

SoulaimaniA, SaadY. An arbitrary Lagrangian-Eulerian finite element method for solving three-dimensional free surface flows [J]. Computer Methods in Applied Mechanics and Engineering, 1998, 162(1/2/3/4): 70-106

[4]

PetersonR C, JimackP K, KelmansonM A. The solution of two-dimensional free-surface problems using automatic mesh generation [J]. International Journal for Numerical Methods in Fluids, 1999, 31(6): 937-960

[5]

ScardovelliR, ZaleskiS. Direct numerical simulation of free-surface and interfacial flow [J]. Annual Review of Fluid Mechanics, 1999, 31(1): 567-603

[6]

BradfordS F, KatopodesN D. Finite volume model for nonlevel basin irrigation [J]. Journal of Irrigation and Drainage Engineering, 2001, 127(4): 216-223

[7]

SethianJ A, SmerekaP. Level set methods for fluid interfaces [J]. Annual Review of Fluid Mechanics, 2003, 35(1): 341-372

[8]

OlssonE, KreissG. A conservative level set method for two phase flow [J]. Journal of Computational Physics, 2005, 210(1): 225-246

[9]

HirtC W, NicholsB D. Volume of fluid (VOF) method for dynamics of free boundaries [J]. Journal of Computational Physics, 1981, 39(1): 201-221

[10]

MuzaferijaS, PericM. Computation of free-surface flows using the finite-volume method and moving grids [J]. Numerical Heat Transfer Part B, 1997, 32(4): 369-384

[11]

AshgrizN, BarbatT, WangG. A computational Lagrangian-Eulerian advection remap for free surface flows [J]. International Journal for Numerical Methods in Fluids, 2004, 44(1): 1-32

[12]

DarbandiM, TorabiS O, SaadatM, DaghighiY, JarrahbashiD. A moving-mesh finite-volume method to solve free-surface seepage problem in arbitrary geometries [J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2007, 31(14): 1609-1629

[13]

ItascaC GParticle flow code in two dimensions (Theory and background) [M], 1999Minneapolis, USAItasca Consulting Group95

[14]

ZhaoC, NishiyamaT, MurakamiA. Numerical modeling of spontaneous crack generation in brittle materials using the particle simulation method [J]. Engineering Computations, 2006, 23(5/6): 566-584

[15]

ZhaoC, HobbsB E, OrdA, HornbyP, PengS, LiuL. Particle simulation of spontaneous crack generation problems in large-scale quasi-static systems [J]. International Journal for Numerical Methods in Engineering, 2007, 69(11): 2302-2329

[16]

ZhaoC, HobbsB E, OrdA, PengS, LiuL. An upscale theory of particle simulation for two-dimensional quasi-static problems [J]. International Journal for Numerical Methods in Engineering, 2007, 72(4): 397-421

[17]

ZhaoC, HobbsB E, OrdA, PengS. Particle simulation of spontaneous crack generation associated with the laccolithic type of magma intrusion processes [J]. International Journal for Numerical Methods in Engineering, 2008, 75(10): 1172-1193

[18]

PotyondyD O, CundallP A. A bonded-particle model for rock [J]. International Journal of Rock Mechanics and Mining sciences, 2004, 41(18): 1329-1364

[19]

ZhaoC. Computational simulation of frictional drill-bit movement in cemented granular materials [J]. Finite Elements in Analysis and Design, 2011, 106(8): 236-243

[20]

ZhaoC, HobbsB E, OrdA, HornbyP, PengS, LiuL. Effective loading algorithm associated with the explicit dynamic relaxation method for simulating static problems [J]. Journal of Central South University of Technology, 2009, 16(1): 125-130

[21]

GerhartP M, GrossR J, HochsteinJ IFundamentals of fluid mechanics [M], 1992New YorkAddison-Wesley Publishing Company916-917

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