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.
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