Regularized Fluctuating Lattice Boltzmann Model

TL;DR

This paper presents a regularized fluctuating lattice Boltzmann model that incorporates thermal fluctuations with improved stability and accuracy, suitable for large-scale GPU simulations of mesoscale and nanoscale fluids.

Contribution

The paper introduces a thermodynamically consistent regularized fluctuating lattice Boltzmann model for the D3Q27 lattice, enhancing stability and fluctuation accuracy over traditional methods.

Findings

Enhanced stability compared to BGK-FLBM.

Accurate modeling of thermal fluctuations.

Optimized for GPU-accelerated large-scale simulations.

Abstract

We introduce a regularized fluctuating lattice Boltzmann model (Reg-FLBM) for the D3Q27 lattice, which incorporates thermal fluctuations through Hermite-based projections to ensure compliance with the fluctuation-dissipation theorem. By leveraging the recursive regularization framework, the model achieves thermodynamic consistency for both hydrodynamic and ghost modes. Compared to the conventional single-relaxation-time BGK-FLBM, the Reg-FLBM provides improved stability and a more accurate description of thermal fluctuations. The implementation is optimized for large-scale parallel simulations on GPU-accelerated architectures, enabling systematic investigation of fluctuation-driven phenomena in mesoscale and nanoscale fluid systems.