Accessibility navigation


Flux difference splitting for open channel flows

Glaister, P. (1993) Flux difference splitting for open channel flows. International Journal of Numerical Methods for Fluids, 16 (7). pp. 629-654. ISSN 1097-0363

Full text not archived in this repository.

To link to this article DOI: 10.1002/fld.1650160706

Abstract/Summary

A finite difference scheme based on flux difference splitting is presented for the solution of the one-dimensional shallow-water equations in open channels, together with an extension to two-dimensional flows. A linearized problem, analogous to that of Riemann for gas dynamics, is defined and a scheme, based on numerical characteristic decomposition, is presented for obtaining approximate solutions to the linearized problem. The method of upwind differencing is used for the resulting scalar problems, together with a flux limiter for obtaining a second-order scheme which avoids non-physical, spurious oscillations. The scheme is applied to a one-dimensional dam-break problem, and to a problem of flow in a river whose geometry induces a region of supercritical flow. The scheme is also applied to a two-dimensional dam-break problem. The numerical results are compared with the exact solution, or other numerical results, where available.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:15654
Uncontrolled Keywords:Shallow-water equations; Subcritical and supercritical flows; Open channels
Publisher:Wiley

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation