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Hybrid lattice Boltzmann method for multiphase flows.

Thomas Gregorczyk1, Song Zhao1, Pierre Boivin1

  • 1M2P2, Centrale Med, CNRS, Aix Marseille Univ, Marseille, France.

Physical Review. E
|September 16, 2025
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Summary
This summary is machine-generated.

A new hybrid method combines lattice Boltzmann and finite volume schemes for multiphase flow simulation. This approach accurately models fluid behavior, including complex liquid jet breakup phenomena.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow simulation
  • Numerical methods

Background:

  • Accurate simulation of multiphase flows is crucial in various engineering applications.
  • Existing methods often face challenges in capturing complex interface dynamics and phase transitions.
  • A unified approach for mass, momentum, and phase field evolution is needed.

Purpose of the Study:

  • To introduce a novel hybrid numerical method for simulating multiphase flows.
  • To couple a lattice Boltzmann method (LBM) with a finite volume scheme (FVS).
  • To validate the proposed method for diverse flow regimes.

Main Methods:

  • A hybrid approach solving mean mass and momentum using LBM.
  • An order parameter (phase indicator) solved by a classical FVS.
  • LBM scheme adapted with equilibrium formulation and macroscopic reconstructions.
  • Analytical consistency confirmation and validation on canonical cases.

Main Results:

  • The hybrid scheme demonstrates analytical consistency.
  • Successful simulation of 2D liquid jet breakup across various regimes.
  • Observed phenomena include dripping, sinuous breakup, and atomization.

Conclusions:

  • The hybrid LBM-FVS method is a robust tool for multiphase flow simulation.
  • The approach accurately captures complex interface dynamics and breakup mechanisms.
  • This method offers a promising avenue for advanced fluid dynamics research.