2003•International Journal for Numerical Methods in FluidsRequires access

A flux‐splitting solver for shallow water equations with source terms

Tomás Chacón Rebollo, Enrique D. Fernández-Nieto, Macarena Gómez Mármol

Abstract

Abstract This paper introduces a stable flux‐splitting solver for one‐dimensional (1D) shallow water equations. This solver is specifically designed to satisfy a strengthened consistency condition for stationary solutions that ensures the stability and accuracy of the scheme. It applies to channels with variable depth and width, including terms modelling friction at bottom and vertical walls. Some numerical tests by comparison to both analytical solutions and experimental measurements show the good performances of the scheme. Copyright © 2003 John Wiley & Sons, Ltd.

About this research paper

What this paper is about

Why it matters

OpenAlex reports 27 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Solver, Shallow water equations, Consistency (knowledge bases), Flux (metallurgy), Applied mathematics, Stability (learning theory), Mathematics, Variable (mathematics)