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Interface-capturing lattice Boltzmann equation model for two-phase flows.

Qin Lou1, Zhaoli Guo1

  • 1State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 14, 2015
PubMed
Summary
This summary is machine-generated.

This study introduces an interface-capturing lattice Boltzmann equation (LBE) model for two-phase flows. The model accurately captures interfaces by adjusting the Courant-Friedrichs-Lewy (CFL) number, improving upon standard LBE models.

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Area of Science:

  • Computational Fluid Dynamics
  • Multiphase Flow Modeling

Background:

  • Standard lattice Boltzmann equation (LBE) models often exhibit interface errors in two-phase flows.
  • Accurate interface capturing is crucial for simulating complex fluid phenomena.

Purpose of the Study:

  • To propose a novel interface-capturing LBE model for two-phase flows.
  • To enhance interface accuracy and reduce errors compared to existing models.

Main Methods:

  • Employed a Lax-Wendroff propagation scheme for adjustable Courant-Friedrichs-Lewy (CFL) number.
  • Utilized a specialized equilibrium distribution function to decouple relaxation time from CFL number.
  • Derived a theoretical expression for chemical potential gradient.

Main Results:

  • The proposed LBE model accurately captures interfaces by decreasing the CFL number.
  • Chemical potential gradient is shown to be proportional to the square of the CFL number.
  • Numerical tests confirm the model's effectiveness in 1D, 2D, and 3D simulations.

Conclusions:

  • The developed LBE model provides accurate interface capturing in two-phase flows.
  • The model overcomes limitations of standard LBE methods regarding interface errors.
  • Suitable CFL number selection ensures sharp interface resolution.