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Particle Dynamics Simulations Of The Navier–Stokes Flow With Hard Disks

Author

Listed:
  • TATSUYA ISHIWATA

    (Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • TERUYOSHI MURAKAMI

    (Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • SATOSHI YUKAWA

    (Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

  • NOBUYASU ITO

    (Department of Applied Physics, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan)

Abstract

Flow simulation with a particle dynamics method is studied. The fluid is made of hard particles which obey the Newtonian equations of motion and the collisions between particles are elastic, that is, energy and momentum are conserved. The viscosity appears autonomously together with the local equilibrium state. When a particle collides with a nonslip boundary, a new velocity is given randomly from the thermal distribution if the wall is isothermal, or a random reflection angle is selected if the wall is adiabatic. Shear viscosity is estimated from simulations of plane Poiseuille flow together with the confirmation that the system obeys the Navier–Stokes equation. Flows past a cylinder are also simulated. Depending on the Reynolds number up to 106, flow patterns are properly reproduced, and Kármán vortex shedding is observed. The estimated values of drag coefficient show quantitative agreement with experiments.

Suggested Citation

  • Tatsuya Ishiwata & Teruyoshi Murakami & Satoshi Yukawa & Nobuyasu Ito, 2004. "Particle Dynamics Simulations Of The Navier–Stokes Flow With Hard Disks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(10), pages 1413-1424.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:10:n:s0129183104006820
    DOI: 10.1142/S0129183104006820
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