Numerical Experiments on Instability in Unsteady Flow Modelingby Chin-lien Yen, Natl Taiwan Univ, Taiwan,
Ming-hsi Hsu, Natl Taiwan Univ, Taiwan,
Abstract: The problem of numerical instability in modeling unsteady open-channel flows is investigated using the technique of numerical experiments. The model is based on the one-dimensional de Saint Venant equations with a four-point nonlinear finite difference implicit scheme. The series of numerical experiments conducted has lead to establishment of a relationship between the spatial interval required for stability and other factors, which include boundary conditions, cross-sectional variation and peak inflow Froude number.
Subject Headings: Numerical methods | Numerical models | Open channel flow | Unsteady flow | Numerical analysis | One-dimensional flow | Hydraulic models | Froude number
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