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Moment‐based boundary conditions for straight on‐grid boundaries in three‐dimensional lattice Boltzmann simulations
Author(s) -
Krastins Ivars,
Kao Andrew,
Pericleous Koulis,
Reis Timothy
Publication year - 2020
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4856
Subject(s) - lattice boltzmann methods , grid , boundary value problem , mathematics , moment (physics) , hpp model , boundary (topology) , collision , lattice (music) , mathematical analysis , geometry , physics , mechanics , classical mechanics , computer science , computer security , reynolds number , turbulence , acoustics
Summary In this article, moment‐based boundary conditions for the lattice Boltzmann method are extended to three dimensions. Boundary conditions for velocity and pressure are explicitly derived for straight on‐grid boundaries for the D3Q19 lattice. The method is compared against the bounce‐back scheme using both single and two relaxation time collision schemes. The method is verified using classical benchmark test cases. The results show very good agreement with the data found in the literature. It is confirmed from the results that the derived moment‐based boundary scheme is of second‐order accuracy in grid spacing and does not produce numerical slip, and therefore offers a transparent way of accurately prescribing velocity and pressure boundaries that are aligned with grid points in three‐dimensional.