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Thermal lattice Boltzmann equation for low Mach number flows: decoupling model
Zhaoli Guo1, Chuguang Zheng, Baochang Shi
1National Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, People's Republic of China. zlguo@hust.edu.cn
Summary
A new lattice Boltzmann model accurately simulates low Mach number thermal flows, incorporating viscous dissipation and compression work. This method provides reliable results for complex fluid dynamics problems.
Area of Science:
- Computational Fluid Dynamics
- Thermal Physics
- Numerical Methods
Background:
- Traditional methods struggle with low Mach number thermal flows involving viscous dissipation and compression.
- The double-distribution-function framework offers potential for enhanced modeling.
- Accurate simulation of these flows is crucial for various engineering applications.
Purpose of the Study:
- To propose a novel lattice Boltzmann model for low Mach number thermal flows.
- To incorporate viscous dissipation and compression work within the double-distribution-function framework.
- To validate the model's accuracy and applicability.
Main Methods:
- Development of a lattice Boltzmann model using the double-distribution-function approach.
- Definition of a total energy distribution function based on a velocity distribution function.
- Derivation of the evolution equation from the continuous Boltzmann equation.
- Kinetic modeling for decoupled hydrodynamic and energy equations.
Main Results:
- A lattice Boltzmann equation model with clear physics and simple structure was obtained.
- Numerical simulations of thermal Poiseuille flow showed good agreement with analytical solutions.
- Natural convection in a square cavity also yielded results consistent with prior studies.
Conclusions:
- The proposed lattice Boltzmann model is effective for simulating low Mach number thermal flows.
- The model accurately captures the effects of viscous dissipation and compression work.
- This approach offers a robust and reliable tool for thermal flow simulations.
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