Kesserwani, G. orcid.org/0000-0003-1125-8384, Ayog, J.L. orcid.org/0000-0003-3930-1882, Sharifian, M.K. et al. (1 more author) (2023) Shallow-flow velocity predictions using discontinuous Galerkin solutions. Journal of Hydraulic Engineering, 149 (5). ISSN 0733-9429
Abstract
Numerical solvers of the two-dimensional (2D) shallow water equations (2D-SWE) can be an efficient option to predict spatial distribution of velocity fields in quasi-steady flows past or throughout hydraulic engineering structures. A second-order finite-volume (FV2) solver spuriously elongates small-scale recirculating eddies within its predictions, unless sustained by an artificial eddy viscosity, while a third-order finite-volume (FV3) solver can distort the eddies within its predictions. The extra complexity in a second-order discontinuous Galerkin (DG2) solver leads to significantly reduced error dissipation and improved predictions at a coarser resolution, making it a viable contender to acquire velocity predictions in shallow flows. This paper analyses this predictive capability for a grid-based, open source DG2 solver with reference to FV2 or FV3 solvers for simulating velocity magnitude and direction at the submeter scale. The simulated predictions are assessed against measured velocity data for four experimental test cases. The results consistently indicate that the DG2 solver is a competitive choice to efficiently produce more accurate velocity distributions for the simulations dominated by smooth flow regions.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2023 American Society of Civil Engineers. This is an author-produced version of a paper subsequently published in Journal of Hydraulic Engineering. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Spatial distribution; Two-dimensional flow; Hydraulic structures; Velocity distribution; Finite volume method; Fluid velocity; Hydraulic engineering; Eddy (fluid dynamics) |
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: | 14 Mar 2023 09:57 |
Last Modified: | 12 Jan 2024 15:35 |
Status: | Published |
Publisher: | American Society of Civil Engineers (ASCE) |
Refereed: | Yes |
Identification Number: | 10.1061/jhend8.hyeng-13244 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:197348 |