The Courant number, CR is defined as follows:
(6.7)
where Dt is the time step, Ds is the grid spacing in one of the horizontal directions and c is the celerity of the barotropic wave given by
(6.8)
As the barotropic information (about surface elevations and velocities) in the computational grid travels at a speed corresponding to the celerity, the Courant number actually expresses how many grid points the information moves in one time step.