Isogeometric analysis of linear free-surface potential flow

OCEAN ENGINEERING

卷:201

Article

Akkerman, I¹  Meijer, J. H. A.¹  ten Eikelder, M. F. P.¹ 

[1] Delft Univ Technol, Mech Maritime & Mat Engn Dept, Delft, Netherlands

关键词: Isogeometric analysis;    Potential flow;    Linear waves;    Finite elements;   

DOI  :  10.1016/j.oceaneng.2020.107114

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free