Regularized Fluctuating Lattice Boltzmann Model
arXiv:2507.08820 · doi:10.1063/5.0288232
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.
12 pages, 3 figures
References in corpus (28)
- Canonical sampling through velocity-rescaling
- Accurate sampling using Langevin dynamics
- Steady-state hydrodynamic instabilities of active liquid crystals: Hybrid lattice Boltzmann simulations
- Efficient kinetic method for fluid simulation beyond the Navier-Stokes equation
- Fluctuating lattice Boltzmann
- Recursive regularization step for high-order lattice Boltzmann methods
- Statistical Mechanics of the Fluctuating Lattice Boltzmann Equation
- Stochastic thermostats: comparison of local and global schemes
- Interaction Pressure Tensor for a class of Multicomponent Lattice Boltzmann models
- A multi-component discrete Boltzmann model for nonequilibrium reactive flows
- Lattice-Boltzmann Hydrodynamics of Anisotropic Active Matter
- Entropic Lattice Boltzmann Model for Charged Leaky Dielectric Multiphase Fluids in Electrified Jets
- Hydrodynamic behavior of the Pseudo-Potential lattice Boltzmann method for interfacial flows
- Novel non-equilibrium steady states in multiple emulsions
- The crucial role of adhesion in the transmigration of active droplets through interstitial orifices
- Fluctuating Multicomponent Lattice Boltzmann Model
- A fluctuating lattice-Boltzmann method with improved Galilean invariance
- LBsoft: a parallel open-source software for simulation of colloidal systems
- Mesoscale modelling of soft flowing crystals
- A Fluctuating Lattice Boltzmann Method for the Diffusion Equation
- Integer Lattice Gas with Monte Carlo collision operator recovers the entropic lattice Boltzmann method with Poisson distributed fluctuations
- Lightweight Lattice Boltzmann
- Large fluctuations in non-ideal coarse-grained systems
- Lattice Boltzmann Multicomponent Model for Direct-Writing Printing
- Consistent lattice Boltzmann model for reactive mixtures
- A sharp interface approach for wetting dynamics of coated droplets and soft particles
- Lattice Boltzmann Simulations of Non-Equilibrium Fluctuations in a Non-Ideal Binary Mixture
- Comparison of effective and stable Langevin dynamics integrators