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Related Experiment Video

Updated: Jan 11, 2026

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

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

Published on: December 4, 2017

Integer lattice gas with a sampling collision operator for the fluctuating Navier-Stokes equation.

Noah Seekins¹, Alexander J Wagner¹

¹North Dakota State University, Department of Physics, Fargo, North Dakota 58108, USA.

Physical Review. E

|November 18, 2025

Summary

Integer lattice gas methods offer an alternative to lattice Boltzmann methods, retaining correlations that impact bulk viscosity. A new sampling collision operator enhances computational efficiency.

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Area of Science:

Computational physics
Fluid dynamics

Background:

Lattice Boltzmann methods are widely used for fluid dynamics simulations.
Integer lattice gas methods present a potential alternative with distinct properties.

Purpose of the Study:

To evaluate the one-dimensional Blommel integer lattice gas as an alternative to lattice Boltzmann methods.
To analyze the impact of correlations in integer lattice gas on fluid properties like bulk viscosity.

Main Methods:

Comparison of the one-dimensional Blommel integer lattice gas with entropic lattice Boltzmann methods.
Analysis of a decaying sine wave to study bulk viscosity dependence on correlations.
Introduction of a sampling collision operator to improve computational efficiency.

Main Results:

The one-dimensional Blommel integer lattice gas closely approximates the Boltzmann limit of entropic lattice Boltzmann methods.
Integer lattice gas exhibits additional correlations, precluding a well-defined Boltzmann limit.
Bulk viscosity can be significantly influenced by these correlations beyond the Boltzmann limit.

Conclusions:

Integer lattice gas methods are a promising alternative to lattice Boltzmann methods.
The presence of correlations in integer lattice gas offers unique advantages for specific simulations.
The developed sampling collision operator enhances computational efficiency, making integer lattice gas methods competitive.