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A Computational Modeling Approach to Investigate the Influence of Hyperthermia on the Tumor Microenvironment

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Published on: December 1, 2023

Multiple-relaxation-time model for the correct thermohydrodynamic equations.

Lin Zheng¹, Baochang Shi, Zhaoli Guo

¹National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, People's Republic of China.

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

|October 15, 2008

Summary

This summary is machine-generated.

A new lattice Boltzmann equation (LBE) model addresses thermal flow challenges. This advanced model accurately simulates complex flows, overcoming limitations in existing methods for better thermal fluid dynamics research.

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Area of Science:

Computational Fluid Dynamics
Thermal Engineering
Numerical Methods

Background:

Traditional lattice Boltzmann equation (LBE) models struggle with thermal flows, particularly concerning fixed Prandtl numbers and viscous dissipation in the energy equation.
These limitations hinder accurate simulations of complex thermal phenomena involving heat generation and work transfer.

Purpose of the Study:

To develop a novel coupled lattice Boltzmann equation (LBE) model capable of handling thermal flows with viscous heat dissipation and compression work.
To overcome the inherent limitations of existing LBE models in accurately representing the Prandtl number and viscous dissipation effects.

Main Methods:

A multiple-relaxation-time lattice Boltzmann equation (LBE) model was developed and coupled to account for thermal effects.
The model was validated using benchmark thermal flow cases: 2D Couette flow, thermal Poiseuille flow, and natural convection in a square cavity.

Main Results:

The proposed LBE model successfully simulated thermal flows with viscous heat dissipation and compression work.
Numerical results demonstrated excellent agreement with analytical solutions and established numerical data for the tested flow cases.
The model effectively resolved issues related to fixed Prandtl numbers and viscous dissipation in the energy equation.

Conclusions:

The developed coupled LBE model offers a robust and accurate approach for simulating complex thermal flows.
This advancement provides a valuable tool for researchers in computational fluid dynamics and thermal engineering.
The model's ability to overcome previous limitations signifies an improvement in LBE-based thermal flow simulations.