TWO‐DIMENSIONAL DIFFUSION‐PROBABILISTIC MODEL OF A SLOW DAM BREAK1

Abstract
A two‐dimensional model of a dam‐break flood wave is developed by simplifying the St. Venant equations to eliminate local acceleration and inertial terms and combining the simplified equations with continuity to form a diffusion type partial differential equation. This model is cascaded with a two point probability estimate scheme to account for uncertainty in the dam break flood hydrograph and channel roughness. The development and application of the probabilistic model is the main contribution of this paper. The approach is applied to a hypothetical dam break of Long Valley Dam on the Owens River above Bishop, California.

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