Abstract: The computational dispersion properties of Arakawa A-E, Z and Eliassen grids, based on the linear swallow-water equations, are analyzed in terms of frequency and group velocity characteristics respectively for irresoluble and resoluble models. The horizontal scale ranges in which wrong group velocities will result in for every grid are pointed out. It is shown that for the resoluble model, Z, C and Eliassen grids are the best in dispersion characteristics among all grids considered and for the irresoluble model, B grids are the best.