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Periodic fundamental solution of the linear Navier-Stokes equations

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  • Cichocki, B.
  • Felderhof, B.U.

Abstract

We derive expressions for the periodic fundamental solution of the linear Navier-Stokes equations for point sources located at the lattice points of a simple cubic lattice. We cast the solution, which was first found by Hasimoto, in a form suitable for fast numerical computation. The proposed algorithm is useful for computer simulations of fluid suspensions with periodic boundary conditions.

Suggested Citation

  • Cichocki, B. & Felderhof, B.U., 1989. "Periodic fundamental solution of the linear Navier-Stokes equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 19-27.
    • Handle: RePEc:eee:phsmap:v:159:y:1989:i:1:p:19-27
    DOI: 10.1016/0378-4371(89)90145-3
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    References listed on IDEAS

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    1. Smith, E.R. & Snook, I.K. & Van Megen, W., 1987. "Hydrodynamic interactions in Brownian dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 143(3), pages 441-467.
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    Cited by:

    1. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.

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    1. Wajnryb, E. & Szymczak, P. & Cichocki, B., 2004. "Brownian dynamics: divergence of mobility tensor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 339-358.
    2. Felderhof, B.U., 1989. "Hydrodynamic interactions in suspensions with periodic boundary conditions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 159(1), pages 1-18.
    3. Snook, I.K. & Briggs, K.M. & Smith, E.R., 1997. "Hydrodynamic interactions and some new periodic structures in three particle sediments," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 240(3), pages 547-559.

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