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Modified lattice Boltzmann model for axisymmetric flows.
1School of Mathematics, Cardiff University, Cardiff, CF24 4AG, United Kingdom.
Summary
This study introduces a modified lattice Boltzmann model for axisymmetric flows. The model accurately incorporates source terms, enhancing Navier-Stokes equation analysis in cylindrical coordinates.
Area of Science:
- Computational Fluid Dynamics
- Fluid Mechanics
- Numerical Analysis
Background:
- Axisymmetric flows are crucial in various engineering applications.
- Existing lattice Boltzmann models face challenges in accurately simulating axisymmetric flows.
- The Navier-Stokes equations in cylindrical coordinates require specific treatment for axisymmetric terms.
Purpose of the Study:
- To develop a modified lattice Boltzmann model for simulating axisymmetric flows.
- To accurately incorporate source terms into the model's evolution equation.
- To ensure the model correctly represents axisymmetric contributions in Navier-Stokes equations.
Main Methods:
- Utilizing a two-dimensional, nine-velocity lattice-Bhatnagar-Gross-Krook fluid model.
Main Results:
- A modified lattice Boltzmann model capable of simulating axisymmetric flows is presented.
- The incorporated source term accurately accounts for axisymmetric effects.
- The model successfully furnishes additional axisymmetric contributions in Navier-Stokes equations.
Conclusions:
- The developed model provides an effective numerical tool for axisymmetric flow simulations.
- The Chapman-Enskog analysis ensures the physical accuracy of the incorporated source term.
- This work advances the application of lattice Boltzmann methods to complex flow geometries.