In this work, we investigate two issues that are important to computational e ciency and reliability in uid dynamics applications of the lattice Boltzmann equation (LBE): (1) Computational stability and accuracy of di erent lattice Boltzmann models and (2) the treatment of the boundary conditions on curved solid boundaries and their 3-D implementations. Three athermal 3-D LBE models (D3Q15, D3Q...