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Updated: Dec 28, 2025

The Diffusion of Passive Tracers in Laminar Shear Flow

The Diffusion of Passive Tracers in Laminar Shear Flow

Published on: May 1, 2018

Lattice Boltzmann model for weakly compressible flows.

Praveen Kumar Kolluru¹, Mohammad Atif¹, Manjusha Namburi¹

¹Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur, Bangalore 560064, India.

Physical Review. E

|February 20, 2020

Summary

This summary is machine-generated.

We developed an energy-conserving lattice Boltzmann model for simulating weakly compressible flows. This new model accurately captures sound speed, viscous heating, and heat flux dynamics in various acoustic and thermal flow scenarios.

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Area of Science:

Computational Fluid Dynamics
Thermodynamics
Acoustics

Background:

Lattice Boltzmann methods are widely used for fluid simulations.
Existing models may not fully conserve energy or accurately capture thermal effects.
Simulating weakly compressible flows with thermal phenomena requires robust numerical approaches.

Purpose of the Study:

To introduce a novel energy-conserving lattice Boltzmann model.
To simulate weakly compressible flows using a crystallographic lattice.
To validate the model's accuracy in acoustic and thermal flow scenarios.

Main Methods:

Development of an energy-conserving lattice Boltzmann model.
Utilizing a crystallographic lattice structure for the model.
Theoretical analysis of model requirements and construction methodology.
Simulation of acoustics, thermal, and thermoacoustic flows.

Main Results:

The model conserves energy throughout the simulations.
Accurate recovery of the isentropic sound speed was demonstrated.
The model successfully captured viscous heating and heat flux dynamics.
Simulations showed good agreement with theoretical predictions for various flow types.

Conclusions:

The proposed lattice Boltzmann model provides an accurate and energy-conserving approach for simulating weakly compressible flows.
The model's ability to handle thermal effects and acoustics makes it suitable for complex fluid dynamics problems.
This work advances the application of lattice Boltzmann methods in thermal-fluid sciences.