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Color-gradient lattice Boltzmann model for immiscible fluids with density contrast.

A Subhedar1

  • 1Department of Chemical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.

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Summary
This summary is machine-generated.

We developed a new lattice Boltzmann model for immiscible fluids with large density differences. This model allows independent control of interface mobility, improving simulations of complex fluid dynamics.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow modeling
  • Numerical methods

Background:

  • Lattice Boltzmann methods are effective for simulating fluid dynamics.
  • Modeling immiscible fluids with large density contrasts presents challenges.
  • Existing color-gradient models have limitations in controlling interface properties.

Purpose of the Study:

  • To present a novel color-gradient-based lattice Boltzmann model for immiscible fluids with large density contrasts.
  • To enable independent specification of interface mobility.
  • To provide a unified framework for deriving governing equations.

Main Methods:

  • Utilizing a modified velocity-based equilibrium distribution function.
  • Employing a recursive representation of the lattice Boltzmann equation.
  • Analyzing the segregation operator to derive emergent color dynamics.

Main Results:

  • The model successfully simulates immiscible fluids with large density ratios.
  • Interface mobility can be specified independently of the fluid density ratio.
  • The emergent color dynamics obey the locally conservative Allen-Cahn equation.
  • Demonstrated capability through benchmarks including Rayleigh-Taylor instability and capillary intrusion.

Conclusions:

  • The proposed lattice Boltzmann model offers enhanced control over interface properties.
  • It provides a robust framework for simulating complex multiphase flows.
  • The model is suitable for a wide range of fluid dynamics problems involving immiscible fluids.