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TWO‐DIMENSIONAL DIFFUSION‐PROBABILISTIC MODEL OF A SLOW DAM BREAK 1
Author(s) -
Guymon G. L.,
Hromadka T. V.
Publication year - 1986
Publication title -
jawra journal of the american water resources association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.957
H-Index - 105
eISSN - 1752-1688
pISSN - 1093-474X
DOI - 10.1111/j.1752-1688.1986.tb01882.x
Subject(s) - hydrograph , dam break , probabilistic logic , flood myth , partial differential equation , diffusion , embankment dam , shallow water equations , channel (broadcasting) , mathematics , acceleration , hydrology (agriculture) , geology , geotechnical engineering , computer science , statistics , mathematical analysis , levee , geography , physics , computer network , archaeology , classical mechanics , thermodynamics
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.