Isogeometric analysis of linear free-surface potential flow
I. Akkerman (TU Delft - Ship Hydromechanics and Structures)
J. H.A. Meijer (Student TU Delft)
Marco F.P. Eikelder (TU Delft - Ship Hydromechanics and Structures)
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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.
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