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Taylor Series Expansion And Least Squares-Based Lattice Boltzmann Method: Three-Dimensional Formulation And Its Applications

Author

Listed:
  • C. SHU

    (Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge, Crescent, Singapore 117576, Singapore)

  • X. D. NIU

    (Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge, Crescent, Singapore 117576, Singapore)

  • Y. T. CHEW

    (Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge, Crescent, Singapore 117576, Singapore)

Abstract

The two-dimensional form of the Taylor series expansion- and least square-based lattice Boltzmann method (TLLBM) was recently presented by Shuet al.8TLLBM is based on the standard lattice Boltzmann method (LBM), Taylor series expansion and the least square optimization. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. In this paper, TLLBM is extended to the three-dimensional case. The resultant form keeps the same features as the two-dimensional one. The present form is validated by its application to simulate the three-dimensional lid-driven cavity flow at Re=100, 400 and 1000. Very good agreement was achieved between the present results and those of Navier–Stokes solvers.

Suggested Citation

  • C. Shu & X. D. Niu & Y. T. Chew, 2003. "Taylor Series Expansion And Least Squares-Based Lattice Boltzmann Method: Three-Dimensional Formulation And Its Applications," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(07), pages 925-944.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:07:n:s0129183103005133
    DOI: 10.1142/S0129183103005133
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    Cited by:

    1. Saleh A. Bawazeer & Saleh S. Baakeem & Abdulmajeed A. Mohamad, 2022. "Integrating a Stabilized Radial Basis Function Method with Lattice Boltzmann Method," Mathematics, MDPI, vol. 10(3), pages 1-16, February.

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