Finite-volume versus streaming-based lattice Boltzmann algorithm for fluid-dynamics simulations: A one-to-one...

Area of Science:

• Computational Fluid Dynamics
• Fluid Mechanics
• Numerical Analysis

Background:

• The lattice Boltzmann (LB) method is a powerful tool for fluid simulations.
• Standard LB algorithms can be computationally intensive.
• Developing efficient and accurate discretization methods is crucial for advancing LB simulations.

Purpose of the Study:

• To present a novel finite-volume (FV) discretization for the LB equation.
• To systematically compare the FV method's accuracy and computational cost against the standard streaming LB algorithm.
• To evaluate the suitability of FV methods for fluid dynamics LB simulations, especially in complex flow regimes.

Main Methods:

• Finite-volume (FV) discretization applied to the lattice Boltzmann (LB) equation.
• Comparative analysis of FV-LB versus standard streaming LB algorithms.
• Simulation of high-Rayleigh number convective flows with wall grid refinement.

Main Results:

• The FV method demonstrates high accuracy with limited computational cost.
• Successful simulation of turbulent convective flows using the FV-LB algorithm.
• FV method shows promise for realistic fluid dynamics LB simulations.

Conclusions:

• The presented FV discretization is an accurate and computationally efficient alternative for LB simulations.
• FV methods are suitable for complex fluid dynamics problems, including turbulent thermal convection.
• Wall grid refinement in FV-LB enhances simulation capabilities for challenging flow scenarios.