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Increasing stability and accuracy of the lattice Boltzmann scheme: recursivity and regularization
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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 ($\mathrm{Re}\sim 1000$) at moderate Mach numbers ($\mathrm{Ma}\sim 0.5$). In both cases the results are compared with an MRT model and an enhanced accuracy and stability is shown by the present model.
Forward citations
Cited by 4 Pith papers
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A local geometric ghost-node wetting boundary condition for conservative Allen-Cahn lattice Boltzmann simulations imposes contact angles accurately and matches droplet spreading, impact, and orifice-passage benchmarks.
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accLB: A High-Performance Lattice Boltzmann Code for Multiphase Turbulence on Multi-Gpu Architectures
accLB is a multi-GPU lattice Boltzmann code that reaches more than 150 GLUPS and reproduces single-phase and bubble-laden HIT energy spectra.
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