dc.contributor.author
Beisiegel, Nicole
dc.contributor.author
Vater, Stefan
dc.contributor.author
Behrens, Jörn
dc.contributor.author
Dias, Frédéric
dc.date.accessioned
2020-06-23T11:26:17Z
dc.date.available
2020-06-23T11:26:17Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/27697
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-27451
dc.description.abstract
Numerical simulations based on solving the 2D shallow water equations using a discontinuous Galerkin (DG) discretisation have evolved to be a viable tool for many geophysical applications. In the context of flood modelling, however, they have not yet been methodologically studied to a large extent. Systematic model testing is non-trivial as no comprehensive collection of numerical test cases exists to ensure the correctness of the implementation. Hence, the first part of this manuscript aims at collecting test cases from the literature that are generally useful for storm surge modellers and can be used to benchmark codes. On geographic scale, hurricane storm surge can be interpreted as a localised phenomenon making it ideally suited for adaptive mesh refinement (AMR). Past studies employing dynamic AMR have exclusively focused on nested meshes. For that reason, we have developed a DG storm surge model on a triangular and dynamically adaptive mesh. In order to increase computational efficiency, the refinement is driven by physics-based refinement indicators capturing major model sensitivities. Using idealised numerical test cases, we demonstrate the model’s ability to correctly represent all source terms and reproduce known variability of coastal flooding with respect to hurricane characteristics such as size and approach speed. Finally, the adaptive mesh significantly reduces computing time with no effect on storm waves measured at discrete wave gauges just off the coast which shows the model’s potential for use as a robust simulation tool for real-time predictions.
en
dc.rights.uri
https://creativecommons.org/licenses/by/4.0/
dc.subject
Storm surges
en
dc.subject
Discontinuous Galerkin
en
dc.subject
Adaptive mesh refinement
en
dc.subject
Shallow water equations
en
dc.subject.ddc
500 Naturwissenschaften und Mathematik::500 Naturwissenschaften::500 Naturwissenschaften und Mathematik
dc.title
An adaptive discontinuous Galerkin method for the simulation of hurricane storm surge
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation.doi
10.1007/s10236-020-01352-w
dcterms.bibliographicCitation.journaltitle
Ocean Dynamics
dcterms.bibliographicCitation.pagestart
641
dcterms.bibliographicCitation.pageend
666
dcterms.bibliographicCitation.volume
70
dcterms.bibliographicCitation.url
https://doi.org/10.1007/s10236-020-01352-w
refubium.affiliation
Mathematik und Informatik
refubium.resourceType.isindependentpub
no
dcterms.accessRights.openaire
open access
dcterms.isPartOf.eissn
1616-7228
dcterms.isPartOf.zdb
2063267-8