Skip Navigation


IMA Journal of Applied Mathematics Advance Access originally published online on October 24, 2007
IMA Journal of Applied Mathematics 2008 73(1):254-273; doi:10.1093/imamat/hxm049
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
73/1/254    most recent
hxm049v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Similar articles in ISI Web of Science
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Binder, B. J.
Right arrow Articles by Vanden-Broeck, J.-M.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Influence of rapid changes in a channel bottom on free-surface flows

B. J. Binder

School of Mathematical Sciences, University of Adelaide, Adelaide 5005, Australia

F. Dias

Centre de Mathématiques et de Leurs Applications, Ecole Normale Supérieure de Cachan, UniverSud, 61 Avenue President Wilson, F-94230 Cachan, France

J.-M. Vanden-Broeck{dagger}

School of Mathematics, University of East Anglia, Norwich NR4 7TJ, UK

{dagger} Email: j.vanden-broeck{at}uea.ac.uk. Present address: Department of Mathematics, University College London, Gover Street, London WC1E 6BT, UK

Received on January 26, 2007; Accepted on June 1, 2007

Two-dimensional non-linear free-surface flows in a channel bounded below by an uneven bottom with rapid changes are considered. Numerical solutions are computed by a boundary integral equation method similar to that first introduced by King & Bloor (1987, J. Fluid Mech., 182, 193–208). Free-surface flows past localized disturbances, steps and sluice gates are calculated. In addition, weakly non-linear solutions are discussed.

Keywords: free-surface flow; boundary integral equation method; potential flow.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.