Abstract
Abstract Dynamical equations are formulated for a three-layered model designed to represent the motion of a stratified shelf sea. The motion in each layer is considered to be three-dimensional with density and vertical eddy viscosity prescribed in each. Continuity of current and shear stress is satisfied across the internal interfaces. A spectral method is developed for solving the equations in which horizontal components of current are expanded through the vertical within each layer in terms of a set of eigenfunctions. The time-varying horizontal distributions of surface elevation, interfacial elevation and current may be determined from a two-dimensional numerical time-stepping procedure—based on the dynamical equations transformed by vertical integration.
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