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Ghost-mode filtered fluctuating lattice Boltzmann method
M Lauricella1, A Montessori2, A Tiribocchi3
1Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 19, 00185 Rome, Italy.
The Journal of Chemical Physics
|May 20, 2026
Summary
A new ghost-mode filtered fluctuating lattice Boltzmann method (GMF-FLBM) improves accuracy and stability for soft-matter fluid simulations. This method effectively filters non-hydrodynamic modes, enhancing simulation reliability.
Area of Science:
- Computational physics
- Fluid dynamics
- Soft-matter science
Background:
- Fluctuating lattice Boltzmann solvers are essential for mesoscopic fluid modeling in soft-matter systems.
- Accuracy and stability issues arise from non-hydrodynamic modes, particularly in single-relaxation-time schemes.
Purpose of the Study:
- To introduce a ghost-mode filtered fluctuating lattice Boltzmann method (GMF-FLBM) for the D3Q27 lattice.
- To address the accuracy and stability limitations of existing methods.
Main Methods:
- Developed GMF-FLBM by selectively eliminating ghost deterministic content propagation.
- Preserved essential stochastic forcing within the D3Q27 lattice Boltzmann framework.
- Evaluated performance across a broad range of relaxation times.
Main Results:
- GMF-FLBM demonstrated comparable accuracy to high-order formulations in recovering equilibrium fluctuation amplitudes.
- The method requires only minor modifications to the standard BGK collision framework.
- Improved stability and accuracy were observed, especially when non-hydrodynamic modes are present.
Conclusions:
- GMF-FLBM offers a robust and accurate approach for simulating soft-matter fluid dynamics.
- The method provides a practical improvement over conventional fluctuating lattice Boltzmann solvers.
- This advancement facilitates more reliable mesoscopic simulations of complex fluids.
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