Lattice Boltzmann modeling of fluid-particle interaction based on a two-phase mixture representation

Area of Science:

• Computational physics
• Fluid dynamics
• Multiphase flow

Background:

• Simulating fluid-particle interactions is crucial for understanding complex multiphase systems.
• Existing models often struggle with particle-particle contact and lack rigorous derivation.

Purpose of the Study:

• To develop a novel lattice Boltzmann model for accurate fluid-particle interaction simulation.
• To ensure the model is second-order accurate and handles complex particle configurations.

Main Methods:

• Derivation of a lattice Boltzmann model for a two-phase mixture.
• Implementation of a partially saturated type scheme without viscosity-dependent parameters.
• Development of a scheme for intersecting particles within a single cell.

Main Results:

• The derived scheme achieves second-order accuracy in space and time, including body forces.
• The model successfully simulates scenarios with particles in contact or close proximity.
• Validation against benchmark problems shows good performance.

Conclusions:

• The proposed lattice Boltzmann model provides a robust and accurate method for fluid-particle interaction.
• The scheme's ability to handle intersecting particles enhances its applicability in complex simulations.
• The validated performance confirms its suitability for diverse fluid dynamics problems.