Prediction of supercritical flow in open channelsGlaister, P. (1992) Prediction of supercritical flow in open channels. Computers & Mathematics with Applications, 24 (7). pp. 69-75. ISSN 0898-1221 Full text not archived in this repository. It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1016/0898-1221(92)90155-B Abstract/SummaryA finite difference scheme based on flux difference splitting is presented for the solution of the one-dimensional shallow water equations in open channels. A linearised 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 linearised 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 problem of flow in a river whose geometry induces a region of supercritical flow.
Altmetric Deposit Details University Staff: Request a correction | Centaur Editors: Update this record |