Abstract
We introduce a new stabilized high-order and unstructured numerical model for modeling fully nonlinear and dispersive water waves. The model is based on a nodal spectral element method of arbitrary order in space and a σ-transformed formulation due to Cai, Langtangen, Nielsen and Tveito (1998). In the present paper we use a single layer of quadratic (in 2D) and prismatic (in 3D) elements. The model has been stabilized through a combination of over-integration of the Galerkin projections and a mild modal filter. We present numerical tests of nonlinear waves serving as a proof-of-concept validation for this new high-order model. The model is shown to exhibit exponential convergence even for very steep waves and there is a good agreement to analytic and experimental data.
| Original language | English |
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| Title of host publication | Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016 |
| Number of pages | 8 |
| Volume | 2016-January |
| Publisher | International Society of Offshore & Polar Engineers |
| Publication date | 2016 |
| Pages | 661-668 |
| ISBN (Electronic) | 9781880653883 |
| Publication status | Published - 2016 |
| Externally published | Yes |
| Event | 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 - Rhodes, Greece Duration: 26 Jun 2016 → 1 Jul 2016 |
Conference
| Conference | 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 |
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| Country/Territory | Greece |
| City | Rhodes |
| Period | 26/06/2016 → 01/07/2016 |
| Sponsor | et al., ExxonMobil, International Society of Offshore and Polar Engineers (ISOPE), Korea Research Institute of Ships and Ocean Engineering (KRISO), Shanghai Jiao Tong University, SK Innovation |
Keywords
- Fully nonlinear wave propagation
- High-order
- Potential flow equation
- Spectral element method
- Unstructured mesh