Abstract
The accuracy of the Moment Method for imposing no-slip boundary conditions in the lattice Boltzmann algorithm is investigated numerically using lid-driven cavity flow. Boundary conditions are imposed directly upon the hydrodynamic moments of the lattice Boltzmann equations, rather than the distribution functions, to ensure the constraints are satisfied precisely at grid points. Both single and multiple relaxation time models are applied. The results are in excellent agreement with data obtained from state-of-the-art numerical methods and are shown to converge with second order accuracy in grid spacing.
DOI
10.1515/meceng-2017-0004
Publication Date
2017-03-01
Publication Title
Archive of Mechanical Engineering
Volume
64
Issue
1
Publisher
Walter de Gruyter GmbH
ISSN
2300-1895
Embargo Period
2024-11-22
First Page
57
Last Page
74
Recommended Citation
Mohammed, S., & Reis, T. (2017) 'Using the Lid-Driven Cavity Flow to Validate Moment-Based Boundary Conditions for the Lattice Boltzmann Equation', Archive of Mechanical Engineering, 64(1), pp. 57-74. Walter de Gruyter GmbH: Available at: https://doi.org/10.1515/meceng-2017-0004
