✦ LIBER ✦

A split-characteristic based finite element model for the shallow water equations

✍ Scribed by O. C. Zienkiewicz; P. Ortiz

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 895 KB
Volume: 20
Category: Article
ISSN: 0271-2091
DOI: 10.1002/fld.1650200823

No coin nor oath required. For personal study only.

✦ Synopsis

A new algorithm for the solution of the shallow water equations is introduced. The formulation is founded on a suitable operator-splitting procedure for which a characteristic-based rational form of including balancing dissipation terms is achieved.

In the semi-explicit form the method circumvents the requirement of a critical time step given in terms of the wave celerity, which is restrictive for the analysis of long-wave propagation in shallow waters.

In this work the robustness of the algorithm is illustrated for transient shallow water problems and for some supercritical flows, where the choice of an algorithm with optimal diffusion properties is manifest.

📜 SIMILAR VOLUMES

Improved finite element forms for the sh

Improved finite element forms for the shallow-water wave equations

✍ R. T. Williams; O. C. Zienkiewicz 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 1014 KB

A time-splitting method for the three-di

A time-splitting method for the three-dimensional shallow water equations

✍ E. D. De Goede 📂 Article 📅 1991 🏛 John Wiley and Sons 🌐 English ⚖ 874 KB

Finite element solution of the shallow w

Finite element solution of the shallow water equations by a quasi-direct decomposition procedure

✍ J. Goussebaile; F. Hecht; G. Labadie; L. Reinhart 📂 Article 📅 1984 🏛 John Wiley and Sons 🌐 English ⚖ 1014 KB

COMPARISON OF H AND P FINITE ELEMENT APP

COMPARISON OF H AND P FINITE ELEMENT APPROXIMATIONS OF THE SHALLOW WATER EQUATIONS

✍ R. A. Walters; E. J. Barragy 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 498 KB 👁 2 views

A p-type finite element scheme is introduced for the three-dimensional shallow water equations with a harmonic expansion in time. The wave continuity equation formulation is used which decouples the problem into a Helmholtz equation for surface elevation and a momentum equation for horizontal veloci

Two-dimensional dispersion analyses of f

Two-dimensional dispersion analyses of finite element approximations to the shallow water equations

✍ J. H. Atkinson; J. J. Westerink; R. A. Luettich Jr 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 397 KB 👁 2 views

## Abstract Dispersion analysis of discrete solutions to the shallow water equations has been extensively used as a tool to define the relationships between frequency and wave number and to determine if an algorithm leads to a dual wave number response and near 2Δ__x__ oscillations. In this paper,

Continuous, discontinuous and coupled di

Continuous, discontinuous and coupled discontinuous–continuous Galerkin finite element methods for the shallow water equations

✍ Clint Dawson; Joannes J. Westerink; Jesse C. Feyen; Dharhas Pothina 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 273 KB