Consistent multiple-relaxation-time lattice Boltzmann method for the volume averaged Navier-Stokes equations
<|reference_start|>Consistent multiple-relaxation-time lattice Boltzmann method for the volume averaged Navier-Stokes equations: This paper develops a novel multi-relaxation-time (MRT) lattice Boltzmann method (LBM) for solving the volume averaged Navier-Stokes equations (VANSE). Different from the approach given in [1], this method is rooted in the widely-adopted density equilibrium distribution, which provides possibility for simulating scenarios where fluid compressibility cannot be ignored, e.g., thermal and multiphase flows. The Chapman-Enskog analysis is presented to confirm the consistency of this scheme at macroscopic level. Some numerical experiments further demonstrate that it achieves second-order convergence and exhibits better numerical performance over previous schemes as reported [2-4].<|reference_end|>
@article{liu2024consistent,
    title={Consistent multiple-relaxation-time lattice Boltzmann method for the
  volume averaged Navier-Stokes equations},
    author={Yang Liu, Xuan Zhang, Jingchun Min, Xiaomin Wu},
    journal={arXiv preprint arXiv:2409.02964},
    year={2024},
    archivePrefix={arXiv},
    eprint={2409.02964},
    primaryClass={physics.flu-dyn cs.NA math.NA}
}