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A numerical flow model, HIVEL2D, has been developed as a tool to evaluate high-velocity channels. HIVEL2D is a depth-averaged, two-dimensional flow model designed specifically for flow fields that contain supercritical and subcritical regimes as well as the transitions between the regimes. The model is a finite element description of the two-dimensional shallow-water equations in conservative form. Provided in this report are a description of the numerical flow model and illustrative examples of typical high-velocity flow fields that the model is capable of simulating. Model verification is obtained by comparison of simulation results with data obtained from flume studies. Model assumptions and limitations are also discussed. Finite element method, Numerical model, Petrov-Galerkin, High-velocity channels, Oblique standing waves, Subcritical flow, Hydraulic jump(strong shock), Weak shocks, Supercritical flow.