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Lattice Boltzmann method on unstructured grids: further developments.

S Ubertini1, G Bella, S Succi

  • 1Dipartimento di Ingegneria Meccanica, Universita' di Roma, Tor Vergata, Viale del Politecnico, 1, 00133, Roma, Italy.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 26, 2003
PubMed
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This study advances the finite-volume lattice Boltzmann method on unstructured grids, demonstrating its robustness against grid distortions and introducing new open boundary conditions for flow simulations.

Area of Science:

  • Computational fluid dynamics
  • Numerical analysis
  • Fluid mechanics

Background:

  • The finite-volume lattice Boltzmann method (FVLBM) is a powerful tool for simulating fluid flows.
  • Existing formulations often struggle with complex geometries and boundary conditions.
  • Robustness against grid distortions and handling of open boundaries are critical for practical applications.

Purpose of the Study:

  • To present further developments of the FVLBM on unstructured grids.
  • To demonstrate the method's tolerance to significant grid distortions.
  • To introduce and validate novel boundary conditions for open boundary flows.

Main Methods:

  • Developed an enhanced finite-volume lattice Boltzmann formulation.
  • Employed unstructured grids to assess geometric flexibility.

Related Experiment Videos

  • Implemented and tested new open boundary conditions.
  • Conducted numerical simulations for channel and driven cavity flows.

    • Main Results:

    • The FVLBM formulation tolerates significant grid distortions without introducing appreciable numerical viscosity.
    • Second-order accuracy in mesh size is maintained despite grid distortions.
    • The proposed boundary conditions effectively handle open boundary flow scenarios.
    • Numerical results validate the theoretical predictions and method's capabilities.

    Conclusions:

    • The developed FVLBM on unstructured grids offers high robustness and accuracy.
    • The new open boundary conditions expand the applicability of FVLBM to a wider range of flow problems.
    • This work contributes to more reliable and versatile CFD simulations.