Hauptseminar Theorie und Simulation der weichen Materie SS 2013/Hydrodynamic Interactions

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Hydrodynamic Interactions
Udo Höfel
Felix Höfling


  • Stokes equation for incompressible Newtonian fluids
  • Stokes problem: mobility of a suspended sphere
  • Oseen- and Rotne–Prager tensors
  • Faxén theorem and method of reflections
  • general multipole expansion
  • sketch of simulation methods


  • J. Dhont: An Introduction to Dynamics of Colloids (Elsevier, Amsterdam, 1996).
  • M. Reichert: Hydrodynamic Interactions in Colloidal and Biological Systems (Dissertation, Universität Konstanz, 2006) Link
  • J. Rotne and S. Prager, Variational Treatment of Hydrodynamic Interaction in Polymers, J. Chem. Phys. 50, 4831 (1969) Link
  • B. Cichocki, B. U. Felderhof, K. Hinsen, E. Wajnryb, and J. Bławzdziewicz, Friction and mobility of many spheres in Stokes flow,

J. Chem. Phys. 100, 3780 (1994) Link

  • M. Kopp and F. Höfling, GPU-accelerated simulation of colloidal suspensions with direct hydrodynamic interactions, Eur. Phys. J. Special Topics 210, 101 (2012) Link
  • D. L. Ermak and J. A. McCammon, Brownian dynamics with hydrodynamic interactions, J. Chem. Phys. 69, 1352 (1978) Link
  • A. J. Banchio and J. F. Brady, Accelerated Stokesian dynamics: Brownian motion, J. Chem. Phys. 118, 10323 (2003) Link