Coupled Shallow Water Flow and Transport Models: A Look at the Vertical Equations and B oundary Conditions

Randall Kolar, Clint Dawson & Randall Kolar
Most prominent three-dimensional (3D) shallow water models invoke the Boussinesq and hydrostatic approximation to reduce the dimensionality of the problem and simplify the governing equations. Furthermore, a scaling analysis allows the problem to be decomposed into external and internal mode solutions, which allows a computationally-efficient sequential solution procedure. More specifically, the depth-averaged continuity equation is first solved for the free surface elevation, and the 3D momentum equation (subject to the assumptions above) is then solved...
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