Kesserwani, G. and Liang, Q. (2012) Locally limited and fully conserved RKDG2 shallow water solutions with wetting and drying. Journal of Scientific Computing, 50 (1). 120 - 144.
Abstract
This work extends a well-balanced second-order Runge-Kutta discontinuous Galerkin (RKDG2) scheme to provide conservative simulations for shallow flows involving wetting and drying over irregular topographies with friction effects. For this purpose, a wetting and drying technique designed originally for a finite volume (FV) scheme is improved and implemented, which includes the discretization of friction source terms via a splitting implicit integration approach. Another focus of this work is to design a fully conserved RKDG2 scheme to provide conservative solutions for both mass and momentum through a local slope limiting process. Several steady and transient benchmark tests with/without friction effects are simulated to validate the new solver and demonstrate the effects of different slope limiting processes, i.e. globally and locally slope limiting processes.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2012. Springer Verlag. This is an author produced version of a paper subsequently published in Journal of Scientific Computing . Uploaded in accordance with the publisher's self-archiving policy |
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: | Symplectic Sheffield |
Date Deposited: | 04 Jun 2014 08:23 |
Last Modified: | 13 Apr 2017 09:17 |
Published Version: | http://dx.doi.org/10.1007/s10915-011-9476-4 |
Status: | Published |
Publisher: | Springer Verlag |
Identification Number: | 10.1007/s10915-011-9476-4 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:79216 |