Ghost-Mode Filtered Fluctuating Lattice Boltzmann Method
Abstract
Fluctuating lattice Boltzmann solvers are widely employed to model mesoscopic fluid behavior in soft-matter systems, including colloidal suspensions and dilute polymer solutions. Despite their utility, these methods can lose accuracy and stability when non-hydrodynamic modes interfere with the dynamics, especially in single--relaxation-time schemes. Here, we introduce a ghost-mode filtered fluctuating lattice Boltzmann method (GMF-FLBM) for the D3Q27 lattice, obtained by selectively eliminating the propagation of the ghost deterministic content while preserving the necessary stochastic forcing. We show, over a broad range of relaxation times, that GMF-FLBM recovers the amplitudes of equilibrium fluctuations with a comparable accuracy as a fully regularized high-order formulation, while requiring only minor adjustments to the conventional BGK collision framework.
Keywords
Cite
@article{arxiv.2601.03806,
title = {Ghost-Mode Filtered Fluctuating Lattice Boltzmann Method},
author = {Marco Lauricella and Andrea Montessori and Adriano Tiribocchi and Sauro Succi},
journal= {arXiv preprint arXiv:2601.03806},
year = {2026}
}
Comments
9 pages,3 figures, 2 tables