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Adaptive modelling of two-dimensional shallow water flows with wetting and drying
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Dedner, Andreas, Kröner, Dietmar and Shokina, Nina (2011) Adaptive modelling of two-dimensional shallow water flows with wetting and drying. Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol.115 . pp. 1-15. doi:10.1007/978-3-642-17770-5_1 ISSN 1612-2909.
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Official URL: http://dx.doi.org/10.1007/978-3-642-17770-5_1
Abstract
The current work is done in the framework of the BMBF (Bundesministerium für Bildung und Forschung - the Federal Ministry of Education and Research) project AdaptHydroMod - Adaptive Hydrological Modelling with Application in Water Industry [1], which is devoted to the development of generic adaptive approach to modelling of coupled hydrological processes: surface and groundwater flows. The surface water flow is modelled by the two-dimensional shallow water equations and the surface flow - by the Richards equation. The implementation is based within DUNE - the Distributed and Unified Numerics Environment [14]. The surface flow, on which we focus in the presented paper, is numerically solved using the Runge-Kutta discontinuous Galerkin method [10] with modifications to render the scheme well-balanced and for handling correctly possible wetting and drying processes. The newly developed limiter [12] is used for the stabilization of the method. The validation of the code is done using several test problems with known exact solutions. The problem with a mass source term, which is a first step to the coupled simulation of the surface and groundwater flows, is solved numerically.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Notes on Numerical Fluid Mechanics and Multidisciplinary Design | ||||
| Publisher: | Springer | ||||
| ISSN: | 1612-2909 | ||||
| Book Title: | Computational Science and High Performance Computing IV | ||||
| Official Date: | 2011 | ||||
| Dates: |
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| Volume: | Vol.115 | ||||
| Page Range: | pp. 1-15 | ||||
| DOI: | 10.1007/978-3-642-17770-5_1 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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