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

✍ Scribed by Gang Zhu; Alistair G.L. Borthwick; Rodney Eatock Taylor

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 495 KB
Volume: 28
Category: Article
ISSN: 0029-8018
DOI: 10.1016/s0029-8018(00)00046-9

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✦ Synopsis

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.

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