Isogeometric analysis of linear free-surface potential flow

I. Akkerman*, J. H.A. Meijer, M. F.P.ten Eikelder

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

5 Citations (Scopus)
5 Downloads (Pure)


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 languageEnglish
Article number107114
Number of pages16
JournalOcean Engineering
Publication statusPublished - 2020

Bibliographical note

Accepted Author Manuscript


  • Finite elements
  • Isogeometric analysis
  • Linear waves
  • Potential flow


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