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Lattice Boltzmann model for axisymmetric thermal flows
1National Key Laboratory of Multiphase Flow in Power Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2009
Summary
A new thermal lattice Boltzmann (LB) model simplifies axisymmetric thermal flow simulations. This double-distribution-function LB method offers enhanced numerical stability for incompressible flows.
Area of Science:
- Computational fluid dynamics
- Thermal transport phenomena
- Numerical methods
Background:
- Lattice Boltzmann (LB) methods are increasingly used for fluid dynamics simulations.
- Existing axisymmetric thermal LB models can be complex.
- The double-distribution-function LB method offers superior numerical stability.
Purpose of the Study:
- To present a simplified thermal lattice Boltzmann (LB) model for axisymmetric thermal flows.
- To validate the model's performance against established solutions.
- To demonstrate the model's applicability to specific thermal flow problems.
Main Methods:
- Development of a double-distribution-function thermal LB model for axisymmetric flows.
- Implementation of the model in the incompressible limit.
- Numerical simulations of thermally developing laminar flow in circular ducts.
- Numerical simulations of natural convection in a coaxial vertical cylinder annulus.
Main Results:
- The proposed LB model is simpler than existing axisymmetric thermal LB models.
- The model retains the inherent advantages of the standard LB method.
- Simulations show good agreement with analytical solutions for duct flows and natural convection.
Conclusions:
- The presented thermal LB model is a viable and simplified approach for axisymmetric thermal flows.
- The model's accuracy and stability are confirmed through benchmark simulations.
- This work contributes to the advancement of computational thermal fluid dynamics.
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