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Related Experiment Video

Updated: Jun 8, 2026

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Improved axisymmetric lattice Boltzmann scheme.

Q Li¹, Y L He, G H Tang

¹National Key Laboratory of Multiphase Flow in Power Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China.

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

|September 28, 2010

Summary

This study introduces a new lattice Boltzmann scheme for fluid dynamics simulations. The improved method simplifies calculations for incompressible axisymmetric flows and accurately handles boundary conditions.

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Area of Science:

Computational Fluid Dynamics
Numerical Methods
Fluid Mechanics

Background:

The Lattice Boltzmann Method (LBM) is a powerful numerical technique for simulating fluid flow.
Standard LBM schemes can be complex to implement, especially for specific flow geometries like axisymmetric flows.
Handling singularities, such as those at the axis of symmetry, poses a challenge in LBM simulations.

Purpose of the Study:

To propose an improved lattice Boltzmann scheme tailored for incompressible axisymmetric flows.
To develop a scheme that retains the core principles of the standard LBM while offering enhanced simplicity and robustness.
To address the singularity issue at the axis without compromising the ease of boundary condition treatment inherent to LBM.

Main Methods:

The proposed scheme utilizes the single-particle density distribution function within the LBM framework.
A simplified source term, devoid of velocity gradient terms, is incorporated for ease of implementation.
The scheme is designed to effectively manage the singularity problem at the axis of symmetry.

Main Results:

The improved lattice Boltzmann scheme was validated through simulations of several benchmark problems.
Simulated flows included Hagen-Poiseuille flow, three-dimensional Womersley flow, and lid-driven rotational flow in cylindrical cavities.
Numerical results demonstrated excellent agreement with analytical solutions and previously reported findings.

Conclusions:

The developed lattice Boltzmann scheme offers a simplified and effective approach for simulating incompressible axisymmetric flows.
The scheme successfully handles the singularity at the axis, preserving the LBM's advantage in boundary condition treatment.
This improved method provides a robust and accurate tool for computational fluid dynamics research.