An Adaptive Discontinuous Galerkin Method for the Simulation of Hurricane Storm Surge

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Nicole Beisiegel, Stefan Vater, Jörn Behrens, Frederic Dias


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. 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 models 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 unstructured mesh significantly reduces computing time with no effect on storm waves measured at discrete wave gauges just off the coast which shows the models capability for use as a robust simulation tool for real-time predictions.



Applied Mathematics, Other Applied Mathematics, Physical Sciences and Mathematics



Published: 2019-09-09 06:58

Last Updated: 2020-01-22 07:45

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GNU Lesser General Public License (LGPL) 2.1

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