We point out one problem of the grid advection schemes when used in wa
ve models in coastal areas. The deficiency of the schemes is investiga
ted by means of the 'third' generation WAM wave model, in which the wa
ve energy is advected by a first order upwind scheme. Two similar, alt
ernative modifications of this scheme are analyzed, the second of whic
h is shown to solve most of the problems encountered with advection al
ong the co-ordinate axes. (C) 1998 Elsevier Science B.V. All rights re
served.