ON THE APPLICATION OF A NOVEL ALGORITHM TO HYDRODYNAMIC DIFFUSION AND VELOCITY FLUCTUATIONS IN SEDIMENTING SYSTEMS

Wolfgang Kalthoff, Stefan Schwarzer, Gerald Ristow and Hans J. Herrmann
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Wolfgang Kalthoff: ICA 1, Universität Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany
Stefan Schwarzer: ICA 1, Universität Stuttgart, Pfaffenwaldring 27, D-70569 Stuttgart, Germany
Gerald Ristow: Fachbereich Physik, Philipps-Universität Marburg, 35032 Marburg, Germany
Hans J. Herrmann: LPMMH, ESPCI, 10 rue Vauquelin, 75231 Paris Cedex 05, France

International Journal of Modern Physics C (IJMPC), 1996, vol. 07, issue 04, 543-561

Abstract: We present a numerical method to deal efficiently with large numbers of particles in incompressible fluids. The interactions between particles and fluid are taken into account by a physically motivated ansatz based on locally defined drag forces. We demonstrate the validity of our approach by performing numerical simulations of sedimenting non-Brownian spheres in two spatial dimensions and compare our results with experiments. Our method reproduces qualitatively important aspects of the experimental findings, in particular the strong anisotropy of the hydrodynamic bulk self-diffusivities.

Keywords: Sedimentation; Multiphase Flow; Navier–Stokes Equation; Fluid Dynamics; Granular Material; Molecular Dynamics (search for similar items in EconPapers)
Date: 1996
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DOI: 10.1142/S0129183196000466

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