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Multicomponent lattice Boltzmann equation method with a discontinuous hydrodynamic interface.

T J Spencer1, I Halliday1

  • 1Materials and Engineering Research Institute, Sheffield Hallam University, Sheffield S1 1WB, United Kingdom.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 4, 2014
PubMed
Summary
This summary is machine-generated.

This study introduces a stable and efficient method for multicomponent lattice Boltzmann equation (MCLB) simulations, resolving unphysical scales in fluid interfaces. The new approach accurately captures continuum interfacial physics without external forces, improving simulation accuracy.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow simulation
  • Mesoscopic fluid dynamics

Background:

  • The multicomponent lattice Boltzmann equation (MCLB) method is used for simulating fluid flow.
  • A key challenge in MCLB is the introduction of unphysical scales due to the finite width of fluid-fluid interfaces.
  • Existing methods may require complex implementations or external force distributions.

Purpose of the Study:

  • To present a practical, robust, and computationally efficient solution to address unphysical scales in MCLB simulations.
  • To develop a method applicable to any MCLB variant using a continuous phase field for immiscible fluids.
  • To generate continuum interfacial physics, including the Laplace law and no-traction conditions, without external forces.

Main Methods:

  • A novel MCLB simulation method is proposed, building upon the ideas of Kim and Pitsch.
  • The method utilizes low-order interpolation for stability and accuracy.
  • It avoids external force distributions, relying on intrinsic phase field dynamics to generate interfacial physics.

Main Results:

  • The developed method is stable, accurate, computationally efficient, and easy to implement.
  • It successfully generates continuum interfacial physics, such as the Laplace law and no-traction conditions.
  • Performance was quantified by comparing the minimum feasible capillary number against established MCLB techniques.

Conclusions:

  • The proposed method offers a significant improvement for MCLB simulations of fluid flow with interfaces.
  • It provides a computationally efficient and accurate way to handle interfacial phenomena in multiphase flow.
  • This approach simplifies the analysis and implementation of MCLB for various applications.