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Lattice Boltzmann interface capturing method for incompressible flows.

H W Zheng1, C Shu, Y T Chew

  • 1Department of Mechanical Engineering, National University of Singapore, 119260 Singapore.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
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This study introduces a new lattice Boltzmann method for capturing interfaces in incompressible flows. The method naturally captures interfaces by minimizing free energy, offering a simpler alternative to traditional techniques.

Area of Science:

  • Computational Fluid Dynamics
  • Fluid Mechanics
  • Numerical Analysis

Background:

  • Traditional interface tracking methods like Volume of Fluid (VOF) and level set methods often require complex interface reconstruction.
  • Existing lattice Boltzmann methods may necessitate specific properties, such as isotropic fourth-order lattice tensors, limiting their applicability.
  • Accurate and efficient simulation of incompressible flows with interfaces is crucial in various scientific and engineering disciplines.

Purpose of the Study:

  • To propose a novel lattice Boltzmann interface capturing method for incompressible flows.
  • To demonstrate that the proposed method naturally captures interfaces by minimizing a free energy functional.
  • To validate the method's performance and compare it with established techniques like VOF and level set methods.

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Main Methods:

  • A lattice Boltzmann interface capturing method is developed, utilizing free energy minimization for natural interface capture.
  • The method employs a D2Q5 (two-dimensional, five-velocity model) discrete velocity model, avoiding the need for isotropic lattice tensor properties.
  • Interface profiles for flat interfaces and coexistence curves are analytically determined.

Main Results:

  • The proposed method successfully captures interfaces without requiring explicit interface reconstruction.
  • Numerical simulations confirm the method's effectiveness, showing excellent performance in test cases.
  • The method generates very sharp interfaces, outperforming or matching traditional methods in accuracy.

Conclusions:

  • The developed lattice Boltzmann method provides an effective and easily implementable approach for interface capturing in incompressible flows.
  • Minimizing free energy offers a robust mechanism for natural interface representation, simplifying the simulation process.
  • The method's ability to generate sharp interfaces and its independence from restrictive tensor properties make it a valuable tool for fluid dynamics research.