On-node lattices construction using partial Gauss–Hermite quadrature for the lattice Boltzmann method

Ye Huanfeng^{1, †}, Gan Zecheng², Kuang Bo¹, Yang Yanhua^{1, 3}

The profiles of equilibrium distributions f α eq as a function of U: (a) lattice {−5, −2, −1, 1, 2, 4} with a lattice constant c=0.3816; (b) lattice {0, ±2, ±5} with a lattice constant c=0.3442. The label on a curve is its corresponding v α . The intervals of U between vertical dashed lines are lattices positivity ranges.