Limitations of Saint Venant Equations to Model Flood Waves

by David R. Basco, Old Dominion Univ, Norfolk, VA, USA,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

Abstract: The subject of this paper is in direct contrast to all previously known research efforts. Previous effort has focused on simplified forms of Saint Venant using approximate routing models stemming from truncated versions of the momentum and continuity equations (e. g. Fread, 1983). Here, the equations are extended to include streamline curvature effects. A numerical model is developed and comparison made of solitary waves using both equation systems in discrete, analog form. Numerical results are also compared with experimental measurements by the Waterways Experiment Station (USAE, 1961) of dam-break generated flood waves. Preliminary criteria are presented to determine when flood waves require analysis by the more general equation system.

Subject Headings: Wave equations | Solitary waves | Water waves | Floods | Numerical models | Numerical methods | Hydrologic models | Curvature

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