Godunov-type solution of curvilinear shallow-water equations

This paper presents details of a second-order accurate Godunov-type numeric al model of the two-dimensional conservative hyperbolic shallow-water equat ions written in a nonorthogonal curvilinear matrix form and discretized usi ng finite volumes. Roe's flux function is used for the convection terms, an d a nonlinear limiter is applied to prevent spurious oscillations. Validati on tests include frictionless rectangular and circular dam-breaks, an obliq ue hydraulic jump, jet-forced flow in a circular basin, and vortex shedding from a vertical surface-piercing cylinder. The results indicate that the m odel accurately simulates sharp fronts, a flow discontinuity between subcri tical and supercritical conditions, recirculation in a basin, and unsteady wake flows.