Repository: Freie Universit├Ąt Berlin, Math Department

Well-Balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes

Vater, S. and Behrens, J. (2014) Well-Balanced Inundation Modeling for Shallow-Water Flows with Discontinuous Galerkin Schemes. In: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems. Springer Proceedings in Mathematics & Statistics, 78 . Springer, pp. 965-973. ISBN 978-3-319-05590-9; Online: 978-3-319-05591-6

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Official URL: https://doi.org/10.1007/978-3-319-05591-6

Abstract

Modeling coastal inundation for tsunami and storm surge hazard mitigation is an important application of geoscientific numerical modeling. While the complex topography demands for robust and locally accurate schemes, computational parallel efficiency and discrete conservation properties of the scheme are required. In order to meet these requirements, Runge-Kutta discontinuous Galerkin numerical methods are attractive. However, maintaining conservation and well-balancedness of these schemes with wetting/drying boundary conditions poses a challenge. We address this issue by a local nondestructive modification of the flux computation at boundary cells, which maintains accuracy, conservation and well-balancedness. The development can be viewed as a specialized flux limiter, which proves its usefulness with three different test cases for inundation simulation.

Item Type:Book Section
Additional Information:FVCA 7, Berlin, June 2014
Uncontrolled Keywords:Discontinuous Galerkin Bottom Topography Shallow Water Equation Discontinuous Galerkin Method Discontinuous Galerkin Scheme
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:2416
Deposited By: Ulrike Eickers
Deposited On:27 Feb 2020 13:27
Last Modified:27 Feb 2020 13:27

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