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A fractional step lattice Boltzmann method for simulating high Reynolds number flows

Author

Listed:
  • Shu, C.
  • Niu, X.D.
  • Chew, Y.T.
  • Cai, Q.D.

Abstract

A fractional step lattice Boltzmann scheme is presented to greatly improve the stability of the lattice Boltzmann method (LBM) in modelling incompressible flows at high Reynolds number. This method combines the good features of the conventional LBM and the fractional step technique. Through the fractional step, the flow at an extreme case of infinite Reynolds number (inviscid flow) can be effectively simulated. In addition, the non-slip boundary condition can be directly implemented.

Suggested Citation

  • Shu, C. & Niu, X.D. & Chew, Y.T. & Cai, Q.D., 2006. "A fractional step lattice Boltzmann method for simulating high Reynolds number flows," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 72(2), pages 201-205.
    • Handle: RePEc:eee:matcom:v:72:y:2006:i:2:p:201-205
    DOI: 10.1016/j.matcom.2006.05.014
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    Cited by:

    1. Krivovichev, Gerasim V., 2018. "Linear Bhatnagar–Gross–Krook equations for simulation of linear diffusion equation by lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 102-119.
    2. Krivovichev, Gerasim V., 2019. "Stability analysis of body force action models used in the single-relaxation-time single-phase lattice Boltzmann method," Applied Mathematics and Computation, Elsevier, vol. 348(C), pages 25-41.

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