Regularized fluctuating lattice Boltzmann model.

Area of Science:

• Computational Fluid Dynamics
• Statistical Mechanics
• Mesoscale & Nanoscale Physics

Background:

• Lattice Boltzmann methods are crucial for simulating fluid dynamics.
• Incorporating thermal fluctuations is essential for mesoscale and nanoscale phenomena.
• Existing models often struggle with thermodynamic consistency and stability.

Purpose of the Study:

• To introduce a novel regularized fluctuating lattice Boltzmann model (Reg-FLBM) for the D3Q27 lattice.
• To ensure thermodynamic consistency by adhering to the fluctuation-dissipation theorem.
• To enhance stability and accuracy in simulating thermal fluctuations.

Main Methods:

• Utilized Hermite-based projections to incorporate thermal fluctuations.
• Employed a recursive regularization framework for thermodynamic consistency.
• Optimized implementation for large-scale parallel simulations on GPU-accelerated architectures.

Main Results:

• The Reg-FLBM demonstrates improved stability compared to conventional BGK-FLBM.
• Achieved accurate description of thermal fluctuations and thermodynamic consistency.
• Enabled efficient large-scale simulations for mesoscale and nanoscale fluid systems.

Conclusions:

• The Reg-FLBM offers a robust and accurate approach for simulating fluctuation-driven phenomena.
• The model's GPU optimization facilitates systematic investigations in microfluidics and nanofluidics.
• This advancement is key for understanding complex fluid behaviors at small scales.