Skip to main content

Advances in Computational Modelling of Multi-Physics in Particle-Fluid Systems

  • Chapter
  • First Online:
Particle-Based Methods

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 25))

Abstract

The current work presents the recent advances in computational modelling strategies for effective simulations of multi physics involving fluid, thermal and magnetic interactions in particle systems. The numerical procedures presented comprise the Discrete Element Method for simulating particle dynamics; the Lattice Boltzmann Method for modelling the mass and velocity field of the fluid flow; the Discrete Thermal Element Method and the Thermal Lattice Boltzmann Method for solving the temperature field. The coupling of the fields is realised through hydrodynamic and magnetic interaction force terms. Selected numerical examples are provided to illustrate the applicability of the proposed approach.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Aidun, C.K., Lu, Y., Ding, E.G., Direct analysis of particulate suspensions with inertia using the discrete Boltzmann equation. Journal of Fluid Mechanics, 373:287–311, 1998.

    Article  MATH  Google Scholar 

  2. Chen, S., Doolen, G., Lattice Boltzmann method for fluid flows. Annual Review of FluidMechanics, 30:329–364, 1998.

    Article  MathSciNet  Google Scholar 

  3. Clercx, H., Bossis, G.,Many-body electrostatic interactions in electrorheological fluids. Physical Review E, 48(4):2721–2738, 1993.

    Article  Google Scholar 

  4. Cook, B.K.,Noble, D.R.,Williams, J.R., A direct simulationmethod for particle-fluid systems. International Journal for Engineering Computations, 21(2-4):151–168, 2004.

    Article  MATH  Google Scholar 

  5. Cundall, P.A., Strack, O.D.L., A discrete numerical model for granular assemblies. Géotechnique, 29:47–65, 1979.

    Article  Google Scholar 

  6. Feng, Y.T., Owen, D.R.J., An augmented spatial digital tree algorithm for contact detection in computational mechanics. International Journal for Numerical Methods in Engineering 55:556–574, 2002.

    Article  Google Scholar 

  7. Feng, Y.T., Han, K., Owen, D.R.J., Some computational issues on numerical simulation of particulate systems. In Proceedings of the FifthWorld Congress on Computational Mechanics, H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner (eds.), 2002.

    Google Scholar 

  8. Feng, Y.T., Han, K., Owen, D.R.J., Filling domains with disks: An advancing front approach. International Journal for Numerical Methods in Engineering, 56:699–713, 2003.

    Article  MATH  Google Scholar 

  9. Feng, Y.T., Han, K., Owen, D.R.J., An advancing front packing of polygons, ellipses and spheres. In Proceedings of the Third International Conference on Discrete Element Methods, B.K. Cook and R.P. Jensen (eds.), pp. 93–98, 2002.

    Google Scholar 

  10. Feng, Y.T., Owen, D.R.J., A 2D polygon/polygon contact model: Algorithmic aspects. International Journal for Engineering Computations, 21:265–277, 2004.

    Article  MATH  Google Scholar 

  11. Feng, Y.T., Han, K., Owen, D.R.J., An energy based polyhedron-to-polyhedron contact model. In Proceeding of 3rd MIT Conference of Computational Fluid and Solid Mechanics, MIT, USA, 14–17 June, 2005.

    Google Scholar 

  12. Feng, Y.T., On the central difference algorithm in discrete element modeling of impact. International Journal for Numerical Methods in Engineering, 64(14):1959–1980, 2005.

    Article  MATH  Google Scholar 

  13. Feng, Y.T., Han, K., Owen, D.R.J., Coupled lattice Boltzmann method and discrete element modelling of particle transport in turbulent fluid flows: Computational issues. International Journal for Numerical Methods in Engineering, 72(9):1111–1134, 2007.

    Article  MATH  MathSciNet  Google Scholar 

  14. Feng, Y.T., Han, K., Li, C.F., Owen, D.R.J., Discrete thermal element modelling of heat conduction in particle systems: Basic Formulations. Journal of Computational Physics, 227:5072–5089, 2008.

    Article  MATH  Google Scholar 

  15. Feng, Y.T., Han, K., Owen, D.R.J., Discrete thermal element modelling of heat conduction in particle systems: Pipe-network model and transient analysis. Powder Technology, 193(3):248–256, 2009

    Article  Google Scholar 

  16. Feng, Y.T., Han, K., Owen, D.R.J., Combined three-dimensional Lattice Boltzmann Method and Discrete Element Method for modelling fluid-particle interactions with experimental validation. International Journal for Numerical Methods in Engineering, 81(2):229–245, 2010.

    MATH  MathSciNet  Google Scholar 

  17. Han, K., Peric, D., Crook, A.J.L., Owen, D.R.J., Combined finite/discrete element simulation of shot peening process. Part I: Studies on 2D interaction laws. International Journal for Engineering Computations, 17(5):593–619, 2000.

    Google Scholar 

  18. Han, K., Peric, D., Owen, D.R.J., Yu, J., Combined finite/discrete element simulation of shot peening process. Part II: 3D interaction laws. International Journal for Engineering Computations, 17(6/7):683–702, 2000.

    Google Scholar 

  19. Han, K., Feng, Y.T., Owen, D.R.J., Sphere packing with a geometric based compression algorithm. Powder Technology, 155(1):33–41, 2005.

    Article  Google Scholar 

  20. Han, K., Feng, Y.T., Owen, D.R.J., Polygon-based contact resolution for superquadrics. International Journal for Numerical Methods in Engineering, 66:485–501, 2006.

    Article  MATH  Google Scholar 

  21. Han, K., Feng, Y.T., Owen, D.R.J., Numerical simulations of irregular particle transport in turbulent flows using coupled LBM-DEM. Computer Modeling in Engineering & Science, 18(2):87–100, 2007.

    MATH  MathSciNet  Google Scholar 

  22. Han, K., Feng, Y.T., Owen, D.R.J., Performance comparisons of tree based and cell based contact detection algorithms. International Journal for Engineering Computations, 24(2):165–181, 2007.

    Article  MATH  MathSciNet  Google Scholar 

  23. Han, K., Feng, Y.T., Owen, D.R.J., Modelling of Magnetorheological Fluids with Combined Lattice Boltzmann and Discrete Element Approach. Communications in Computional Physics, 7(5):1095–1117, 2010.

    Google Scholar 

  24. Han, K., Feng, Y.T., Owen, D.R.J., Three dimensional modelling and simulation of magnetorheological fluids. International Journal for Engineering Computations, Published Online: June 28, 2010.

    Google Scholar 

  25. He, X., Chen, S., Doolen, G.R., A novel thermal model for the lattice Boltzmann method in imcompressible limit. Journal of Computational Physics, 146:282–300, 1998.

    Article  MATH  MathSciNet  Google Scholar 

  26. Keaveny, E.E.,Maxey,M.R.,Modeling the magnetic interactions between paramagnetic beads in magnetorheological fluids. Journal of Computational Physics, 227:9554–9571, 2008.

    Article  MATH  MathSciNet  Google Scholar 

  27. Klingenberg, D., van Swol, F., Zukoski, C., The small shear rate response of electrorheological suspensions. II. Extension beyond the point-dipole limit. Journal of Chemical Physics, 94(9):6170–6178, 1991.

    Google Scholar 

  28. Ladd, A., Numerical simulations of fluid particulate suspensions via a discretized Boltzmann equation (Parts I & II). Journal of Fluid Mechanics, 271:285–339, 1994.

    Article  MATH  MathSciNet  Google Scholar 

  29. Ladd, A., Verberg, R., Lattice-Boltzmann simulations of particle-fluid suspensions. Journal of Statistical Physics, 104(5/6):1191–1251, 2001.

    Article  MATH  MathSciNet  Google Scholar 

  30. Noble, D., Torczynski, J., A lattice Boltzmann method for partially saturated cells. International Journal of Modern Physics C, 9:1189–1201, 1998.

    Article  Google Scholar 

  31. Munjiza, A., Andrews, K.R.F., NBS contact detection algorithm for bodies of similar size. International Journal for Numerical Methods in Engineering, 43:131–149, 1998.

    Article  MATH  Google Scholar 

  32. Perkins, E., Williams, J.R., A fast contact detection algorithm insensitive to object sizes. International Journal for Engineering Computations, 12:185–201, 1995.

    Article  Google Scholar 

  33. Qian, Y., d’Humieres, D., Lallemand, P., Lattice BGK models for Navier–Stokes equation. Europhys. Lett. 17:479–484, 1992.

    Google Scholar 

  34. Smagorinsky, J., General circulation model of the atmosphere. Weather Rev., 99–164, 1963.

    Google Scholar 

  35. Stratton, J.A., Electromagnetic Theory, First Edition. McGraw-Hill Book Company, 1941.

    Google Scholar 

  36. Chen, H., Kandasamy, S., Orszag, S., Shock, R., Succi, S., Yakhot, V., Extended Boltzmann kinetic equation for turbulent flows. Science, 301:633–636, 2003

    Article  Google Scholar 

  37. Williams, J.R., O’Connor, R., A linear complexity intersection algorithm for discrete element simulation of arbitrary geometries. International Journal for Engineering Computations, 12:185–201, 1995.

    Article  Google Scholar 

  38. Yu, H., Girimaji, S., Luo, L., DNS and LES of decaying isotropic turbulence with and without frame rotation using lattice Boltzmann method. Journal of Computational Physics, 209:599–616, 2005.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Y. T. Feng .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer Science+Business Media B.V.

About this chapter

Cite this chapter

Feng, Y.T., Han, K., Owen, D.R.J. (2011). Advances in Computational Modelling of Multi-Physics in Particle-Fluid Systems. In: Oñate, E., Owen, R. (eds) Particle-Based Methods. Computational Methods in Applied Sciences, vol 25. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0735-1_2

Download citation

  • DOI: https://doi.org/10.1007/978-94-007-0735-1_2

  • Published:

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0734-4

  • Online ISBN: 978-94-007-0735-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics