Ghost-Mode Filtered Fluctuating Lattice Boltzmann Method

Fuente: arXiv
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Main Authors: Lauricella, Marco, Montessori, Andrea, Tiribocchi, Adriano, Succi, Sauro
Format: Preprint
Published: 2026
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author Lauricella, Marco
Montessori, Andrea
Tiribocchi, Adriano
Succi, Sauro
author_facet Lauricella, Marco
Montessori, Andrea
Tiribocchi, Adriano
Succi, Sauro
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03806
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Ghost-Mode Filtered Fluctuating Lattice Boltzmann Method
Lauricella, Marco
Montessori, Andrea
Tiribocchi, Adriano
Succi, Sauro
Soft Condensed Matter
Fluid Dynamics
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.
title Ghost-Mode Filtered Fluctuating Lattice Boltzmann Method
topic Soft Condensed Matter
Fluid Dynamics
url https://arxiv.org/abs/2601.03806