Caviedes-Voullième, D. and Kesserwani, G. (2015) Benchmarking a multiresolution discontinuous Galerkin shallow water model: Implications for Computational hydraulics. Advances in Water Resources, 86 (Part A). pp. 14-31. ISSN 0309-1708
Abstract
Numerical modelling of wide ranges of different physical scales, which are involved in Shallow Water (SW) problems, has been a key challenge in computational hydraulics. Adaptive meshing techniques have been commonly coupled with numerical methods in an attempt to address this challenge. The combination of MultiWavelets (MW) with the Runge-Kutta Discontinuous Galerkin (RKDG) method offers a new philosophy to readily achieve mesh adaptivity driven by the local variability of the numerical solution, and without requiring more than one threshold value set by the user. However, the practical merits and implications of the MWRKDG, in terms of how far it contributes to address the key challenge above, are yet to be explored. This work systematically explores this, through the verification and validation of the MWRKDG for selected steady and transient benchmark tests, which involves the features of real SW problems. Our findings reveal a practical promise of the SW-MWRKDG solver, in terms of efficient and accurate mesh-adaptivity, but also suggest further improvement in the SWRKDG reference scheme to better intertwine with, and harness the prowess of, the MW-based adaptivity.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Editors: |
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Copyright, Publisher and Additional Information: | © 2015 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Shallow water equations; Discontinuous Galerkin; Multiwavelets; Mesh adaptivity; Automated multiresolution modelling; Practical considerations |
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: | 30 Oct 2015 13:52 |
Last Modified: | 30 Oct 2015 13:52 |
Published Version: | http://dx.doi.org/10.1016/j.advwatres.2015.09.016 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.advwatres.2015.09.016 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:90651 |