| Autor: |
Akkerman, I., Meijer, J. H. A., Eikelder, M. ten |
| Rok vydání: |
2019 |
| Předmět: |
|
| Zdroj: |
Ocean Engineering (2020) |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.1016/j.oceaneng.2020.107114 |
| Popis: |
This paper presents a novel variational formulation to simulate linear free-surface flow. The variational formulation is suitable for higher-order finite elements and higher-order and higher-continuity shape functions as employed in Isogeometric Analysis (IGA). The novel formulation combines the interior and free-surface problems in one monolithic formulation. This leads to exact energy conservation and superior performance in terms of accuracy when compared to a traditional segregated formulation. This is confirmed by the numerical computation of traveling waves in a periodic domain and a three-dimensional sloshing problem. The isogeometric approach shows significant improved performance compared to traditional finite elements. Even on very coarse quadratic NURBS meshes the dispersion error is virtually absent. |
| Databáze: |
arXiv |
| Externí odkaz: |
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