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Lattice-boltzmann model with sub-grid-scale boundary conditions

Verberg1, Ladd

  • 1Chemical Engineering Department, University of Florida, Gainesville, Florida 32611-6005, USA.

Physical Review Letters
|October 4, 2000
PubMed
Summary

A novel lattice-Boltzmann method accurately handles solid-fluid boundaries below grid spacing. This approach uses fluid volume fractions for second-order accuracy on complex geometries like porous media.

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Area of Science:

  • Computational fluid dynamics
  • Mesoscopic fluid dynamics

Background:

  • Accurate simulation of fluid flow requires precise handling of solid-fluid boundaries.
  • Existing methods struggle with sub-grid scale boundaries and complex geometries.

Purpose of the Study:

  • To develop a lattice-Boltzmann method (LBM) for incorporating solid-fluid boundary conditions at sub-grid scales.
  • To achieve second-order accuracy for arbitrary boundary positions and orientations.

Main Methods:

  • Introduced a continuous fluid volume fraction parameter at each grid node.
  • Developed new LBM rules based on this parameter.
  • Ensured conservation of mass and momentum.

Main Results:

  • Achieved second-order accuracy for solid-fluid boundaries independent of grid alignment.
  • Demonstrated applicability to irregular geometries, including porous media.
  • Validated conservation properties of the new boundary rules.

Conclusions:

  • The developed lattice-Boltzmann method effectively integrates sub-grid scale solid-fluid boundary conditions.
  • The fluid volume fraction approach offers a robust solution for complex geometries.
  • The method conserves mass and momentum, enhancing simulation fidelity.

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