Abstract
Environmental hydrodynamics is typically characterized by free-surface hydrostatic flows. Within such a framework a set of simplified models are derived from the Reynolds averaged Navier–Stokes equations under various simplifying assumptions. Numerically, a simple method for the 1D open channel flow is derived first. This method is then extended to the 2D_{xz} laterally averaged model and to the 2D_{xy} vertically averaged model. Next, a semi-implicit method for the 3D model is described and discussed.
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