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Phase-field-based lattice Boltzmann model for axisymmetric multiphase flows.
1State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan 430074, China.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 24, 2015
Summary
A new phase-field lattice Boltzmann (LB) model simplifies axisymmetric multiphase flow simulations. This model accurately captures interfaces and flow dynamics, validated by extensive numerical experiments.
Area of Science:
- Computational Fluid Dynamics
- Multiphase Flow Modeling
- Phase-Field Methods
Background:
- Lattice Boltzmann (LB) methods are effective for simulating fluid dynamics.
- Axisymmetric multiphase flows present unique modeling challenges.
- Existing LB models for axisymmetric flows can be complex.
Purpose of the Study:
- To develop a simplified phase-field-based lattice Boltzmann model for axisymmetric multiphase flows.
- To accurately describe multiphase flow behavior in an axisymmetric coordinate system.
- To overcome limitations of previous axisymmetric LB multiphase models.
Main Methods:
- Incorporation of modified equilibrium distribution functions into LB evolution equations.
- Addition of simplified source terms accounting for axisymmetric effects.
- Chapman-Enskog analysis to derive governing equations (axisymmetric Cahn-Hilliard and Navier-Stokes).
Main Results:
- The proposed model successfully describes multiphase flows in axisymmetric coordinates.
- Numerical experiments demonstrate accurate interface capturing.
- Results align well with analytical solutions and experimental data for various flow scenarios.
Conclusions:
- The developed LB model offers a simpler and effective approach for axisymmetric multiphase flows.
- The model's accuracy is validated across diverse numerical simulations.
- This work provides a robust tool for studying complex multiphase phenomena.
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