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arXiv · 2507.08820

Regularized Fluctuating Lattice Boltzmann Model

Marco Lauricella·Andrea Montessori·Adriano Tiribocchi·Sauro Succi
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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.

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Marco Lauricella, Andrea Montessori, Adriano Tiribocchi, Sauro Succi. 2025-06-29. Regularized Fluctuating Lattice Boltzmann Model. https://doi.org/10.1063/5.0288232

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