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Simulating anisotropic flows with isotropic lattice models via coordinate and velocity transformation

Author

Listed:
  • Zimeng Wang

    (Bharti School of Engineering, Laurentian University, Sudbury, Ontario, P3E 2C6, Canada)

  • Junfeng Zhang

    (Bharti School of Engineering, Laurentian University, Sudbury, Ontario, P3E 2C6, Canada)

Abstract

We propose a rectangular lattice Boltzmann model for anisotropic flows based on coordinate and velocity transformation. Unlike other existing rectangular models which tuned the lattice Boltzmann algorithm to fit the rectangular or cuboid lattice grids, here we apply the general lattice Boltzmann method to solve the transformed system over regular square lattice grids. The method is tested with simulations of representative anisotropic flows, including flows in narrow straight and wavy channels, the Taylor–Green vortex flow, and the flow through an elliptical particle array. These simulations show that in general our method produces satisfactory results; however, the aspect ratio ay is limited to relatively large values (≥0.5). The effects of ay on simulation accuracy and stability have been carefully examined, and a possible remedy to improve these concerns has been proposed. The method and analysis could be useful for future development of more robust and practical anisotropic lattice Boltzmann models for realistic simulations.

Suggested Citation

  • Zimeng Wang & Junfeng Zhang, 2019. "Simulating anisotropic flows with isotropic lattice models via coordinate and velocity transformation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 30(10), pages 1-16, October.
    • Handle: RePEc:wsi:ijmpcx:v:30:y:2019:i:10:n:s0129183119410018
    DOI: 10.1142/S0129183119410018
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