Abstract
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.
Original language | English |
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Article number | 107114 |
Number of pages | 16 |
Journal | Ocean Engineering |
Volume | 201 |
DOIs | |
Publication status | Published - 2020 |
Bibliographical note
Accepted Author ManuscriptKeywords
- Finite elements
- Isogeometric analysis
- Linear waves
- Potential flow