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Increasing stability and accuracy of the lattice Boltzmann scheme: recursivity and regularization

2015/05/26 by Orestis Malaspinas, Malaspinas, Orestis · 4 citations
Engineering · #Aerosol Filtration and Electrostatic Precipitation #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Lattice Boltzmann Simulation Studies

paper · pdf · doi:10.48550/arxiv.1505.06900

openalex publication_date 2015/05/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the present paper a lattice Boltzmann scheme is presented which exhibits an increased stability and accuracy with respect to standard single- or multi-relaxation-time (MRT) approaches. The scheme is based on a single-relaxation-time model where a special regularization procedure is applied. This regularization is based on the fact that, for a-thermal flows, there exists a recursive way to express the velocity distribution function at any order (in the Hermite series sense) in terms of the density, velocity, and stress tensor. A linear stability analysis is conducted which shows enhanced dispersion/dissipation relations with respect to existing models. The model is then validated on two (one 2D and one 3D) moderately high Reynolds number simulations (Re∼ 1000) at moderate Mach numbers (Ma∼ 0.5). In both cases the results are compared with an MRT model and an enhanced accuracy and stability is shown by the present model.

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