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Improved application of the HLLE Riemann solver for the shallow water equations with source terms

✍ Scribed by I. Delis, A.

Publisher
John Wiley and Sons
Year
2002
Tongue
English
Weight
369 KB
Volume
19
Category
Article
ISSN
1069-8299

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✦ Synopsis

Abstract

The present work addresses the numerical prediction of shallow water flows with the application of the HLLE approximate Riemann solver. This Riemann solver has several desirable properties, such as, ease of implementation, satisfaction of entropy conditions, high shock resolution and positivity preservation. A corrected upwind discretization of the source terms is applied, in conjunction with the HLLE solver, following some resent developments presented in the literature. Numerical results are obtained for a series of one‐dimensional test cases by means of the proposed model and compared with analytical solutions or solutions presented in the literature. Strong numerical evidence shows that the proposed model implementation is accurate, robust, conservative and highly stable in capturing strong gradients and discontinuities in transcritical flows, as well as calculating dry areas (vacuum), and is a reliable model for one‐dimensional (steady and unsteady) practical applications in hydraulics engineering. Copyright © 2003 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

A hybrid numerical method for the shallo
A hybrid numerical method for the shallow water equations with source term
✍ Tze-Jang Chen; Charlie H. Cooke 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 292 KB 👁 2 views

In coastal oceanography there is interest in problems modeled by the shallow water equations, where variations in channel depth are accounted for by the presence of source terms. A numerical treatment for the solution of such problems is presented here, in terms of a hybrid approach, which combines