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.
| Originalsprog | Engelsk |
|---|---|
| Titel | Proceedings of the 26th International Ocean and Polar Engineering Conference, ISOPE 2016 |
| Antal sider | 8 |
| Vol/bind | 2016-January |
| Forlag | International Society of Offshore & Polar Engineers |
| Publikationsdato | 2016 |
| Sider | 661-668 |
| ISBN (Elektronisk) | 9781880653883 |
| Status | Udgivet - 2016 |
| Udgivet eksternt | Ja |
| Begivenhed | 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 - Rhodes, Grækenland Varighed: 26 jun. 2016 → 1 jul. 2016 |
Konference
| Konference | 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016 |
|---|---|
| Land/Område | Grækenland |
| By | Rhodes |
| Periode | 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 |