Skip to main content
    • Aa
    • Aa
  • Get access
    Check if you have access via personal or institutional login
  • Cited by 287
  • Cited by
    This article has been cited by the following publications. This list is generated based on data provided by CrossRef.

    Aponte-Rivera, Christian and Zia, Roseanna N. 2016. Simulation of hydrodynamically interacting particles confined by a spherical cavity. Physical Review Fluids, Vol. 1, Issue. 2,

    Bülow, F. Hamberger, P. Nirschl, H. and Dörfler, W. 2016. A scalable parallel Stokesian Dynamics method for the simulation of colloidal suspensions. Computer Physics Communications, Vol. 204, p. 107.

    Chiricotto, Mara Melchionna, Simone Derreumaux, Philippe and Sterpone, Fabio 2016. Hydrodynamic effects on β-amyloid (16-22) peptide aggregation. The Journal of Chemical Physics, Vol. 145, Issue. 3, p. 035102.

    Dastanpour, Ramin and Rogak, Steven N. 2016. The effect of primary particle polydispersity on the morphology and mobility diameter of the fractal agglomerates in different flow regimes. Journal of Aerosol Science, Vol. 94, p. 22.

    Harshe, Yogesh M. and Lattuada, Marco 2016. Universal Breakup of Colloidal Clusters in Simple Shear Flow. The Journal of Physical Chemistry B, Vol. 120, Issue. 29, p. 7244.

    Koo, Sangkyun 2016. Large-scale calculation of hydrodynamic transport properties for random suspensions of hard-sphere particles. Korean Journal of Chemical Engineering, Vol. 33, Issue. 8, p. 2298.

    Lieu, Uyen Tu and Harada, Shusaku 2016. Restructuring capability of non-fractal aggregate in simple shear flow. Advanced Powder Technology, Vol. 27, Issue. 4, p. 1037.

    Lisicki, Maciej Cichocki, Bogdan and Wajnryb, Eligiusz 2016. Near-wall diffusion tensor of an axisymmetric colloidal particle. The Journal of Chemical Physics, Vol. 145, Issue. 3, p. 034904.

    Peters, François Ghigliotti, Giovanni Gallier, Stany Blanc, Frédéric Lemaire, Elisabeth and Lobry, Laurent 2016. Rheology of non-Brownian suspensions of rough frictional particles under shear reversal: A numerical study. Journal of Rheology, Vol. 60, Issue. 4, p. 715.

    Saad, E I 2016. Interactions of two slip spheres moving side by side in a viscous fluid. Fluid Dynamics Research, Vol. 48, Issue. 1, p. 015502.

    Satoh, Akira 2016. Encyclopedia of Surface and Colloid Science, Third Edition.

    Wang, Mu and Brady, John F. 2016. Spectral Ewald Acceleration of Stokesian Dynamics for polydisperse suspensions. Journal of Computational Physics, Vol. 306, p. 443.

    Yan, Weiwei Liu, Yang and Fu, Bingmei 2016. LBM simulations on the influence of endothelial SGL structure on cell adhesion in the micro-vessels. Computers & Mathematics with Applications,

    Bollinger, Jonathan A. Jain, Avni and Truskett, Thomas M. 2015. How Local and Average Particle Diffusivities of Inhomogeneous Fluids Depend on Microscopic Dynamics. The Journal of Physical Chemistry B, Vol. 119, Issue. 29, p. 9103.

    Brewer, Damien D. and Kumar, Satish 2015. Dynamic simulation of sediment films of Yukawa-stabilized particles. Physical Review E, Vol. 91, Issue. 2,

    Bülow, F. Nirschl, H. and Dörfler, W. 2015. On the settling behaviour of polydisperse particle clouds in viscous fluids. European Journal of Mechanics - B/Fluids, Vol. 50, p. 19.

    Chow, Edmond and Skolnick, Jeffrey 2015. Effects of confinement on models of intracellular macromolecular dynamics. Proceedings of the National Academy of Sciences, Vol. 112, Issue. 48, p. 14846.

    Chubynsky, Mykyta V. and Slater, Gary W. 2015. Electrophoresis of Heteropolymers. Effect of Stiffness. Macromolecules, Vol. 48, Issue. 16, p. 5899.

    Ding, E. J. 2015. Lattice Boltzmann Stokesian dynamics. Physical Review E, Vol. 92, Issue. 5,

    Długosz, Maciej and Antosiewicz, Jan M. 2015. Toward an Accurate Modeling of Hydrodynamic Effects on the Translational and Rotational Dynamics of Biomolecules in Many-Body Systems. The Journal of Physical Chemistry B, Vol. 119, Issue. 26, p. 8425.

  • Journal of Fluid Mechanics, Volume 180
  • July 1987, pp. 21-49

Dynamic simulation of hydrodynamically interacting particles

  • L. Durlofsky (a1), J. F. Brady (a1) and G. Bossis (a2)
  • DOI:
  • Published online: 01 April 2006

A general method for computing the hydrodynamic interactions among N suspended particles, under the condition of vanishingly small particle Reynolds number, is presented. The method accounts for both near-field lubrication effects and the dominant many-body interactions. The many-body hydrodynamic interactions reproduce the screening characteristic of porous media and the ‘effective viscosity’ of free suspensions. The method is accurate and computationally efficient, permitting the dynamic simulation of arbitrarily configured many-particle systems. The hydrodynamic interactions calculated are shown to agree well with available exact calculations for small numbers of particles and to reproduce slender-body theory for linear chains of particles. The method can be used to determine static (i.e. configuration specific) and dynamic properties of suspended particles that interact through both hydrodynamic and non-hydrodynamic forces, where the latter may be any type of Brownian. colloidal, interparticle or external force. The method is also readily extended to dynamically simulate both unbounded and bounded suspensions.

Recommend this journal

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

Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *