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Color-gradient lattice Boltzmann model for immiscible fluids with density contrast
1Department of Chemical Engineering, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.
Physical Review. E
|November 18, 2022
Summary
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.
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.
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