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Lattice Boltzmann method for interface capturing.

Hong Liang1, Runlong Wang1, Yikun Wei2

  • 1Department of Physics, Hangzhou Dianzi University, Hangzhou 310018, China.

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|March 18, 2023
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Summary
This summary is machine-generated.

This study introduces an accurate lattice Boltzmann method for immiscible multiphase flow, improving interface capturing for complex simulations. The novel approach enhances numerical accuracy, particularly for thin interfaces in fluid dynamics.

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Area of Science:

  • Computational fluid dynamics
  • Numerical analysis
  • Multiphase flow modeling

Background:

  • Accurate phase interface tracking is crucial for modeling immiscible multiphase flow systems.
  • Existing methods may face challenges in maintaining accuracy, especially at small interface scales.

Purpose of the Study:

  • To propose an accurate interface-capturing lattice Boltzmann method based on a modified Allen-Cahn equation (ACE).
  • To enhance the numerical accuracy of multiphase flow simulations, particularly for interface dynamics.

Main Methods:

  • Developed a modified Allen-Cahn equation (ACE) using a conservative formulation relating signed-distance function and order parameter.
  • Incorporated a specialized forcing term into the lattice Boltzmann equation to accurately recover the target ACE.
  • Applied the method to simulate Zalesak's disk rotation, single vortex, and deformation field problems.

Main Results:

  • The proposed lattice Boltzmann method accurately captures phase interfaces.
  • Demonstrated superior numerical accuracy compared to existing lattice Boltzmann models for conservative ACE.
  • The method shows particular effectiveness at small interface-thickness scales.

Conclusions:

  • The developed interface-capturing lattice Boltzmann method offers enhanced accuracy for multiphase flow modeling.
  • This approach provides a robust tool for simulating complex fluid dynamics problems with sharp interfaces.