Tovar, E. and Guermond, J-L. and Popov, B. and Kees, C. and Dimakopoulos, A. (2020) Explicit Relaxation Technique for Solving the Green-Naghdi Equations for Dispersive Waves. In: Ocean Sciences Meeting 2020, 16-21 February 2020, San Diego, USA.
Full text not available from this repository.Abstract
We introduce a relaxation technique for solving the Green-Naghdi equations for dispersive waves. We propose a numerical method that is explicit in time and uses continuous finite elements for the approximation in space. The numerical method is compatible with dry states and is provably positivity preserving under a CFL condition. The method is then numerically validated against manufactured solutions and is illustrated by comparison with laboratory experiments. We highlight some coastal engineering applications of the model such as tsunami and storm surge waves propagation over complex topographies. We show the robustness and reproducibility of the method by also implementing it in the open source software Proteus, which is developed at the U.S. Army Engineer Research and Development Center.
| Item Type: | Conference or Workshop Item (Poster) |
|---|---|
| Subjects: | Maritime > General |
| Divisions: | Maritime |
| Depositing User: | Helen Stevenson |
| Date Deposited: | 02 Dec 2020 15:41 |
| Last Modified: | 02 Dec 2020 15:41 |
| URI: | http://eprints.hrwallingford.com/id/eprint/1445 |
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