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Lattice boltzmann method on composite grids

Lin1, Lai

  • 1Department of Mechanical Engineering and Iowa Institute of Hydraulic Research, The University of Iowa, Iowa City, Iowa 52242-1527, USA.

Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
|November 23, 2000
PubMed
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A novel composite block-structured lattice Boltzmann method efficiently simulates 2D incompressible fluid flows. This approach uses local grid refinement for accurate results and significant computational savings.

Area of Science:

  • Computational Fluid Dynamics
  • Numerical Methods
  • Fluid Mechanics

Background:

  • Simulating incompressible fluid flows requires efficient numerical methods.
  • Local grid refinement is crucial for capturing complex flow features accurately.
  • Existing methods may face challenges in balancing accuracy and computational cost.

Purpose of the Study:

  • To propose a composite block-structured lattice Boltzmann method (LBM) for 2D incompressible fluid flow simulations.
  • To enable efficient local grid refinement within the LBM framework.
  • To reduce computational cost while maintaining high accuracy.

Main Methods:

  • Developed a composite grid structure with a coarse base grid and one or more fine grids.
  • Implemented a two-stage simulation process: initial coarse grid run followed by simultaneous multi-grid advancement.

Related Experiment Videos

  • Utilized base grid solutions to provide boundary conditions for fine grids at interfaces.

    • Main Results:

    • The method successfully simulated the lid-driven cavity flow.
    • Results showed excellent agreement with benchmark data and finite-volume Reynolds-averaged Navier–Stokes (RANS) model.
    • Demonstrated significant savings in CPU time compared to traditional methods.

    Conclusions:

    • The composite block-structured LBM is an effective method for accurate 2D incompressible flow simulation.
    • The approach offers substantial computational efficiency through local grid refinement.
    • This method provides a viable alternative for complex fluid dynamics problems.