Models of Dam‐Break Flow in R‐T Space

Abstract
The method of characteristics is applied to numerical integration of the shallow water equations written in r‐t coordinates. Instant failure of a dam, between vertical walls which either converge or diverge, is then simulated. Comparisons are made with the Ritter and Stoker solutions for parallel walls and different initial depths downstream, including the associated positive surge. Physical model test results confirm general expectations that converging walls create deeper and faster flows downstream and vice versa. Composite wall arrangements are tested, and comparison also is made with the simulation of dam‐break flow in a contracting channel by Marshall and Menendez.

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