1. Introduction. There has appeared in the oceanographic literature a series of articles in which the response of a three-dimensional ocean to a distribution of surface wind-stress has been investigated under the assumption that the vertical velocity may be entirely neglected in considering the vertical distribution of horizontal flow (hereafter referred to as the w = 0 assumption). The resulting circulation contains features that are contradictory to the flow in more orthodox models....
Robinson, A. R.. 1964. "On the arbitrary suppression of vertical motion in wind-driven oceanic models." Journal of Marine Research 22, (2). https://elischolar.library.yale.edu/journal_of_marine_research/1026