  Numerical simulation results of basic exactly solvable fluid flows using the
previously proposed Lattice Boltzmann Method (LBM) formulated on a general
curvilinear coordinate system are presented. As was noted in the theoretical
work of H. Chen, such curvilinear Lattice Boltzmann Method preserves a
fundamental one-to-one exact advection feature in producing minimal numerical
diffusion, as the Cartesian lattice Boltzmann model. As we numerically show,
the new model converges to exact solutions of basic fluid flows with the
increase of grid resolution in the presence of both natural curvilinear
geometry and/or grid non-uniform contraction, both for near equilibrium and
non-equilibrium LBM parameter choices.
