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We developed a multiple-relaxation-time (MRT) chromodynamic multicomponent lattice Boltzmann equation (MCLBE) scheme for simulating immiscible fluid flow. This novel approach verifies the utility of MRT chromodynamic MCLBE for complex fluid dynamics simulations.

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Area of Science:

  • Computational fluid dynamics
  • Multiphase flow simulation
  • Lattice Boltzmann methods

Background:

  • Simulating isothermal, immiscible fluid flow with significant density differences presents challenges.
  • Existing methods require robust numerical schemes to ensure accuracy and stability.
  • The multiple-relaxation-time (MRT) collision model offers potential benefits for such simulations.

Purpose of the Study:

  • To develop and verify a novel multiple-relaxation-time (MRT), chromodynamic, multicomponent lattice Boltzmann equation (MCLBE) scheme.
  • To assess the scheme's ability to accurately simulate isothermal, immiscible fluid flow with a density contrast.
  • To validate the compliance of the developed MCLBE MRT scheme with fundamental fluid dynamics conditions.

Main Methods:

  • Development of an MRT chromodynamic MCLBE scheme based on Lishchuk's method and d'Ortona et al.'s segregation.
  • Application of the scheme to simulate isothermal, immiscible fluid flow with varying density contrasts.
  • Creation of analytical benchmarking flows to test kinematic conditions like mutual impenetrability and continuous traction.

Main Results:

  • The developed MRT chromodynamic MCLBE scheme successfully simulates isothermal, immiscible fluid flow with density contrasts.
  • The scheme demonstrates compliance with the kinematic condition of mutual impenetrability.
  • The scheme adheres to the continuous traction condition, validated through analytical benchmarking.

Conclusions:

  • The developed MRT chromodynamic MCLBE scheme is a verifiable and effective tool for simulating complex fluid flows.
  • The findings support the utility of MRT chromodynamic MCLBE for accurately modeling large density difference fluid systems.
  • This work validates the scheme against established methods and fundamental physical principles.