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

  • Zhu G
  • Borthwick A
  • Eatock Taylor R
  • 3


    Mendeley users who have this article in their library.
  • N/A


    Citations of this article.


This paper describes the simulation of the flow 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.

Author-supplied keywords

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

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document


  • G Zhu

  • A G L Borthwick

  • R Eatock Taylor

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free