Abstract
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 language | English |
|---|---|
| Pages (from-to) | 989-1008 |
| Number of pages | 20 |
| Journal | Ocean Engineering |
| Volume | 28 |
| Issue number | 8 |
| Publication status | Published - Aug 2001 |
Keywords
- viscous
- free surface
- waves
- submerged cylinder
- hierarchical meshes
- finite element method
- VOLUME
- FLOWS