Nonhomogeneous Terms in the Unsteady Flow Equations: Modeling Aspectsby Chintu Lai, US Geological Survey, Reston, VA, USA,
Raymond W. Schaffranek, US Geological Survey, Reston, VA, USA,
Robert A. Baltzer, US Geological Survey, Reston, VA, USA,
Abstract: A study is in progress to identify the relative significance, effects, and benefits attributable to the use of one-dimensional, unsteady, open-channel, flow-simulation models employing a variety of nonhomogeneous terms in their equation formulations. Nonhomogeneous terms being analyzed include those representing bed slope, frictional resistance, nonprismatic channel geometry, lateral flow, and (surface) wind stress. After an initial theoretical discussion, the results of a set of numerical experiments are presented that demonstrate cause-and-effect relationships and intercomparisons achieved by neglect or improper treatment of important nonhomogeneous terms. Preliminary results of this study are discussed and presented in this paper, both in the form of qualitative considerations and quantitative tabular findings. These results are expected to yield a definitive set of guidelines and suggestions useful to model engineers.
Subject Headings: Homogeneity | Stress analysis | Channel flow | Unsteady flow | Mathematical models | Water flow | Model analysis | Hydraulic models
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