Abstract

Abstract This paper extends previous work by Davies (1976a), solving the three-dimensional hydrodynamic equations for tides and storm surges using an expansion of B-splines, by allowing depth variation of vertical eddy viscosity and studying the influence of such variation on vertical current structure. The effect of changes in the surface and the bottom eddy viscosities upon current profile, for wind-driven motion in a rectangular basin, is examined in detail. A no-slip bottom boundary condition is used, a logarithmic current profile then being obtained close to the sea bed. The dependence of vertical and horizontal circulations on eddy viscosity is also considered.

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