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Numerical Experiments on Instability in Unsteady Flow Modeling

by Chin-lien Yen, Natl Taiwan Univ, Taiwan,
Ming-hsi Hsu, Natl Taiwan Univ, Taiwan,



Document Type: Proceeding Paper

Part of: Hydraulic Engineering

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 models | Numerical methods | Unsteady flow | Open channel flow | Numerical analysis | Mathematical models | Finite difference method

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