Kesserwani, G., Caviedes-Voullième, D., Gerhard, N. et al. (1 more author) (2015) Multiwavelet discontinuous Galerkin h-adaptive shallow water model. Computer Methods in Applied Mechanics and Engineering, 294. 56 - 71. ISSN 0045-7825
Abstract
This paper presents a Godunov-type numerical formulation that is local, conservative and scalable in both accuracy and resolution. The keystone of the framework is to recast a local multi-resolution discontinuous Galerkin formulation and, combine it with multiwavelets (MWDG) to adaptively determine local resolution level by manipulating multiwavelet coefficients driven by one threshold value set by the user. Recent advances in discontinuous Galerkin modelling of the shallow water equations with topography source term are directly transferred to the MWDG framework. The adaptive MWDG model is tested for simulation of transient and steady shallow flow test cases demonstrating ability to model compound flows with appropriate level resolutions, and with comparable predictive quality as uniform mesh counterpart corresponding to highest resolution available.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | Copyright 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). |
Keywords: | Resolution adaptability; Discontinuous Galerkin; Multiwavelets; Shallow water flow |
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 Sep 2015 13:10 |
Last Modified: | 30 Sep 2015 13:10 |
Published Version: | http://dx.doi.org/10.1016/j.cma.2015.05.016 |
Status: | Published |
Publisher: | Elsevier |
Refereed: | Yes |
Identification Number: | 10.1016/j.cma.2015.05.016 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:88542 |