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Application of Tunable-Slip Boundary Conditions in Particle-Based Simulations

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High Performance Computing in Science and Engineering ‘14

Abstract

Compared to macroscopic systems, fluids on the micro- and nanoscales have a larger surface-to-volume ratio, thus the boundary condition becomes crucial in determining the fluid properties. No-slip boundary condition has been applied successfully to wide ranges of macroscopic phenomena, but its validity in microscopic scale is questionable. A more realistic description is that the flow exhibits slippage at the surface, which can be characterized by a Navier slip length. We present a tunable-slip method by implementing Navier boundary condition in particle-based computer simulations (Dissipative Particle Dynamics as an example). To demonstrate the validity and versatility of our method, we have investigated two model systems: (i) the flow past a patterned surface with alternating no-slip/partial-slip stripes and (ii) the diffusion of a spherical colloidal particle.

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Acknowledgements

We thank the HLRS Stuttgart for a generous grant of computer time on HERMIT. This research was supported by the DFG through the SFB TR6, SFB 985, SFB 1066, and by RAS through its priority program “Assembly and Investigation of Macromolecular Structures of New Generations”.

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Authors and Affiliations

  1. Institut für Physik, Johannes Gutenberg-Universität Mainz, Staudingerweg 7, D-55099, Mainz, Germany

    Jiajia Zhou & Friederike Schmid

  2. Institut für Computerphysik, Universität Stuttgart, Allmandring 3, 70569, Stuttgart, Germany

    Jens Smiatek

  3. A.N. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Science, 31 Leninsky Prospect, 119071, Moscow, Russia

    Evgeny S. Asmolov & Olga I. Vinogradova

  4. Central Aero-Hydrodynamic Institute, 140180, Zhukovsky, Moscow region, Russia

    Evgeny S. Asmolov

  5. Institute of Mechanics, M.V. Lomonosov Moscow State University, 119991, Moscow, Russia

    Evgeny S. Asmolov

  6. Department of Physics, M.V. Lomonosov Moscow State University, 119991, Moscow, Russia

    Olga I. Vinogradova

  7. DWI – Leibniz Institute for Interactive Materials, RWTH Aachen, Forckenbeckstraße 50, 52056, Aachen, Germany

    Olga I. Vinogradova

Authors
  1. Jiajia Zhou
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  2. Jens Smiatek
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  3. Evgeny S. Asmolov
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  4. Olga I. Vinogradova
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  5. Friederike Schmid
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Corresponding author

Correspondence to Jiajia Zhou .

Editor information

Editors and Affiliations

  1. Zentrum für Informationsdienste und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Dresden, Germany

    Wolfgang E. Nagel

  2. Abteilung für Angewandte Mathematik, Universität Freiburg, Freiburg, Germany

    Dietmar H. Kröner

  3. HöchstleistungsrechenzentrumStuttgart (HLRS), Universität Stuttgart, Stuttgart, Germany

    Michael M. Resch

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Zhou, J., Smiatek, J., Asmolov, E.S., Vinogradova, O.I., Schmid, F. (2015). Application of Tunable-Slip Boundary Conditions in Particle-Based Simulations. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘14. Springer, Cham. https://doi.org/10.1007/978-3-319-10810-0_2

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