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An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

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Published on: December 4, 2017

Multirelaxation-time interaction-potential-based lattice Boltzmann model for two-phase flow.

Zhao Yu¹, Liang-Shih Fan

¹Department of Chemical and Biomolecular Engineering, The Ohio State University, Columbus, Ohio 43210, USA.

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

|January 15, 2011

Summary

This summary is machine-generated.

This study introduces a multirelaxation-time (MRT) lattice Boltzmann model (LBM) to improve numerical stability in low-viscosity two-phase flows. The enhanced MRT-LBM successfully simulates challenging scenarios like air bubbles in water, overcoming limitations of traditional methods.

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Area of Science:

Computational fluid dynamics
Multiphase flow modeling

Background:

Lattice Boltzmann Method (LBM) is widely used for fluid dynamics simulations.
Traditional LBM faces numerical instability issues in two-phase flows with low viscosities.
Existing methods struggle with simulating phenomena involving both low viscosity and high surface tension.

Purpose of the Study:

To develop a numerically stable Lattice Boltzmann Method for two-phase flows at low viscosities.
To enhance the simulation accuracy and stability of gas-liquid interfaces.
To investigate the feasibility of the new model for simulating complex multiphase phenomena.

Main Methods:

Development of a multirelaxation-time (MRT) lattice Boltzmann model (LBM).
Incorporation of an interaction potential approach and a general force term into the MRT collision operator.
Implementation of advanced force formulations using multirange potentials.
Conducting 2D equilibrium tests and 3D simulations of buoyant rise of gas bubbles.

Main Results:

The MRT-LBM significantly enhances numerical stability, reducing the lowest stable viscosity by an order of magnitude compared to single relaxation time LBM.
Spurious velocities at the gas-liquid interface are substantially decreased by tuning relaxation parameters.
Successfully simulated millimeter air bubbles in water, a previously challenging scenario.
Simulated bubble dynamics show satisfactory agreement with experimental data and empirical correlations.

Conclusions:

The developed MRT-LBM offers superior numerical stability for two-phase flows with low viscosities.
This advanced LBM technique overcomes limitations of traditional methods for simulating complex interfacial phenomena.
The model is validated by successful simulation of air bubbles in water, demonstrating its potential for broader applications in multiphase flow research.