Numerical Solution of the Two-Dimensional Unsteady Dam Break
Christopher Zoppou and Stephen Roberts
Abstract:
A numerical model for the solution of the two-dimensional dam break problem
is described. The model which is based on a second-order approximate Riemann
solver with a van Leer type limiter is used to solve the shallow water wave
equation on a Cartesian grid. The shallow water equations include source
terms which account for resistance to the flow and the influence of the bed
slope. The wetting and drying process is also considered. The model is
verified by comparing the model output with documented results. Very good
agreement has been achieved in the verification phase. A simple example of
the collapse of a water supply reservoir in a narrow valley is used to
demonstrate the capability of the model. The model is shown to be stable and
robust. It is capable of resolving shocks, handling complex geometry,
including the influence of steep bed slopes and simulating the wetting and
drying process.
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