Higher-Order Methods for Transient Free-Surface Flows

by Robert J. Fennema, Washington State Univ, Albrook, Hydraulics Lab, Pullman, WA, USA,
M. Hanif Chaudhry, Washington State Univ, Dep of Civil, & Environmental Engineering, Pullman, WA, USA,

Document Type: Proceeding Paper

Part of: Water for Resource Development


One-dimensional transient free-surface flows in open channels are described by a set of quasi-linear hyperbolic partial differential equations, called the Saint-Venant equations. Numerical methods are used to integrate these equations. For this purpose, three new second-order accurate explicit finite-difference methods - MacCormack's scheme, Lambda scheme, and Gabutti scheme - are presented. The ability of these methods to simulate steep-fronted waves and conserve mass are compared with the implicit box scheme.

Subject Headings: One-dimensional flow | Fluid flow | Transient flow | Free flow | Flow simulation | Finite difference method | Differential equations | Wave equations

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