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Lattice Boltzmann equation method for multiple immiscible continuum fluids.

T J Spencer¹, I Halliday, C M Care

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|January 15, 2011

Summary

This summary is machine-generated.

This study introduces a new computational model for simulating multiple immiscible fluids, enhancing stability and accuracy for complex fluid dynamics. The improved algorithm offers a physically grounded and computationally efficient approach to fluid segregation and interfacial tension.

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Area of Science:

Computational Fluid Dynamics
Multiphase Flow
Statistical Mechanics

Background:

Existing models for multiple immiscible fluids often rely on empirical parameters for contact behavior.
Previous methods for simulating immiscible fluids faced limitations in computational efficiency and artifact reduction.
Accurate simulation of interfacial phenomena is crucial for understanding complex fluid systems.

Purpose of the Study:

To generalize a two-component algorithm for simulating N>2 mutually immiscible fluids in the isothermal continuum regime.
To develop a physically grounded model that removes empiricism in contact behavior and enhances computational advantages.
To provide a stable and computationally efficient method for modeling multiphase fluid systems with independent interfacial tensions.

Main Methods:

Extension of a two-component algorithm to N>2 immiscible fluids using a simplified fluid-fluid segregation.
Implementation of an analytic interface-inducing force distribution for improved physical foundations.
Utilized forced multi-relaxation-time lattice Boltzmann method for enhanced stability and parameter range in simulations.

Main Results:

The generalized model accurately describes N>2 immiscible fluids with independent interfacial tensions.
The new method is computationally faster, artifact-free, and symmetric for any number of fluids.
Steady-state properties of the multiple interface model show good agreement with theoretical predictions, particularly for multidrop systems.

Conclusions:

The developed algorithm provides a robust, physically sound, and computationally efficient framework for simulating multiphase flows.
The model successfully eliminates empiricism in contact behavior, offering a more reliable approach to interfacial phenomena.
The enhanced stability and parameter range make it suitable for complex simulations, including multidrop systems.