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Related Experiment Video

Updated: Jun 29, 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

Axisymmetric lattice Boltzmann method.

Jian Guo Zhou¹

¹Department of Engineering, University of Liverpool, Liverpool L69 3GQ, United Kingdom.

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

|October 15, 2008

Summary

This summary is machine-generated.

A novel lattice Boltzmann method is presented for incompressible axisymmetric flows. This efficient model naturally incorporates additional terms, simplifying simulations of complex fluid dynamics phenomena.

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Area of Science:

Computational fluid dynamics
Numerical analysis

Background:

Axisymmetric flows present unique challenges in computational fluid dynamics.
Existing numerical methods may lack efficiency or natural handling of source/sink terms in these flows.

Purpose of the Study:

To develop a lattice Boltzmann method (LBM) for incompressible axisymmetric flows.
To incorporate force and source/sink terms into the LBM framework for enhanced applicability.

Main Methods:

Development of a lattice Boltzmann equation incorporating force and source/sink terms.
Application of Chapman-Enskog expansion to recover macroscopic equations.
Verification through two numerical simulations.

Main Results:

The developed LBM naturally incorporates necessary terms consistent with the equation's dimensions.
Macroscopic equations for incompressible axisymmetric flows are correctly recovered.
The model demonstrates simplicity and efficiency, comparable to Navier-Stokes with added terms.

Conclusions:

The proposed lattice Boltzmann method offers a simple and efficient approach for incompressible axisymmetric flows.
The method's natural incorporation of terms makes it suitable for complex physical phenomena in axisymmetric flows.
Numerical simulations confirm the method's validity and effectiveness.