A finite element model of interaction between viscous free surface waves and submerged cylinders

G Zhu, AGL Borthwick*, RE Taylor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


This paper describes the simulation of the Row of a viscous incompressible Newtonian liquid with a free surface. The Navier-Stokes equations are formulated using a streamline upwind Petrov-Galerkin scheme, and solved on a Q-tree-based finite element mesh that adapts to the moving free surface of the liquid. Special attention is given to fitting the mesh correctly to the free surface and solid wall boundaries. Fully non-linear free surface boundary conditions are implemented. Test cases include sloshing free surface motions in a rectangular tank and progressive waves over submerged cylinders. (C) 2001 Elsevier Science Ltd. AH rights reserved.

Original languageEnglish
Pages (from-to)989-1008
Number of pages20
JournalOcean Engineering
Issue number8
Publication statusPublished - Aug 2001


  • viscous
  • free surface
  • waves
  • submerged cylinder
  • hierarchical meshes
  • finite element method

Cite this