Kesserwani, G. (2013) Topography discretization techniques for Godunov-type shallow water numerical models: a comparative study. Journal of Hydraulic Research , 51 (4). pp. 351-367. ISSN 0022-1686
Abstract
This paper compares various topography discretization approaches for Godunov-type shallow water numerical models. Many different approaches have emerged popular with Godunov-type water wave models. To date, literature lacks an investigative study distinguishing their pros and the cons, and assessing their reliability relating to issues of practical interest. To address this gap, this work reviews and assesses five standard topography discretization methods that consist of the Upwind, the surface gradient method (SGM), the mathematically balanced set of the SWE (Etta-SWE), the hydrostatic reconstruction technique (Hydr-Rec) and the RKDG2 model. The study further considers mix-mode approaches that incorporate wetting and drying together with the topography discretization. Steady and transient hydraulic tests are employed to measure the performance of the approaches relating to the issues of mesh size, topography’s differentiability, accuracy-order of the numerical scheme, and impact of wetting and drying.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2013 Taylor and Francis. Reproduced in accordance with the publisher's self-archiving policy. |
Keywords: | Godunov-type schemes, topography discretization methods, comparisons, wetting and drying, steady and transient flows |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Dr Georges Kesserwani |
Date Deposited: | 09 Apr 2013 08:49 |
Last Modified: | 04 Jul 2014 12:00 |
Published Version: | http://dx.doi.org/10.1080/00221686.2013.796574 |
Status: | Published |
Publisher: | Taylor & Francis |
Refereed: | Yes |
Identification Number: | 10.1080/00221686.2013.796574 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:75383 |