A stable scheme of the Curvilinear Shallow Water Equations with no-penetration and far-field boundary conditions

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dc.contributor.authorReindorf, Nartey Borkor
dc.contributor.authorSvärd, Magnus
dc.contributor.authorAmoako-Yirenkyi, Peter
dc.contributor.orcid0000-0002-5721-4638
dc.date.accessioned2025-01-14T10:11:01Z
dc.date.available2025-01-14T10:11:01Z
dc.date.issued2023-11-23
dc.descriptionThis article is published by Elsevier 2023 and is also available at https://doi.org/10.1016/j.compfluid.2023.106136
dc.description.abstractThis paper presents a stable and highly accurate numerical tool for computing river flows in urban areas, which is a first step towards a numerical tool for flood predictions. We start with the (linearized) well-posedness analysis by Ghader and Nordström (2014), where far-field boundary conditions were proposed and extend their analysis to include wall boundaries. Specifically, we employed high-order Summation-by-parts (SBP) finite-difference operators to construct a scheme for the Shallow Water Equations. We also developed a stable SBP scheme with Simultaneous Approximation Terms that impose far-field and wall boundaries. Finally, we extended the schemes and their stability proofs to non-Cartesian domains. To demonstrate the strength of the schemes, we performed computations for problems with exact solutions to obtain second, third, and fourth (2, 3, 4) convergence rates. Finally, we applied the 4𝑡ℎ-order scheme to steady river channels, the canal (or floodcontrol channel simulations), and dam-break problems. The results show that the imposition of the boundary conditions is stable, and the far-field boundaries cause no visible reflections at the boundaries.
dc.description.sponsorshipKNUST
dc.identifier.citationR.N. Borkor et al.
dc.identifier.urihttps://doi.org/10.1016/j.compfluid.2023.106136
dc.identifier.urihttps://ir.knust.edu.gh/handle/123456789/16073
dc.language.isoen
dc.publisherElsevier
dc.titleA stable scheme of the Curvilinear Shallow Water Equations with no-penetration and far-field boundary conditions
dc.typeArticle
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