Godunov-Type Solution of Curvilinear Shallow-Water Equations
Publication: Journal of Hydraulic Engineering
Volume 126, Issue 11
Abstract
This paper presents details of a second-order accurate Godunov-type numerical model of the two-dimensional conservative hyperbolic shallow-water equations written in a nonorthogonal curvilinear matrix form and discretized using finite volumes. Roe's flux function is used for the convection terms, and a nonlinear limiter is applied to prevent spurious oscillations. Validation tests include frictionless rectangular and circular dam-breaks, an oblique hydraulic jump, jet-forced flow in a circular basin, and vortex shedding from a vertical surface-piercing cylinder. The results indicate that the model accurately simulates sharp fronts, a flow discontinuity between subcritical and supercritical conditions, recirculation in a basin, and unsteady wake flows.
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Information & Authors
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Published In
Journal of Hydraulic Engineering
Volume 126 • Issue 11 • November 2000
Pages: 827 - 836
History
Received: Mar 2, 1999
Published online: Nov 1, 2000
Published in print: Nov 2000
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