Arbitrary Lagrangian-Eulerian formulation for fluid-rigid body interaction

Author (s): Sarrate, J., Huerta, A. and Donéa, J.
Journal: Computer Methods in Applied Mechanics and Engineering

Volume: 190, Issues 24, 25
Pages: 3171 – 3188
Date: 2001

A new formulation for two-dimensional fluid-rigid body interaction problems is developed. In particular, vortex-induced oscillations of a rigid body in viscous incompressible flow are studied. The incompressible Navier-Stokes equations are
used to describe the motion of the fluid, while it is assumed that the rigid body is mounted on a system consisting of a spring and a dashpot. An arbitrary Lagrangian-Eulerian formulation (ALE) is used in order to account for large boundary motion. A general formulation for the coupled problem is obtained by uncoupling the translation motion of the body from its rotational motion and developing a specific algorithm to efficiently handle the nonlinear dependence of the rotations. This general formulation can be easily applied to multi-body problems. Two numerical examples involving either translations and rotations are presented as an illustration of the proposed methodologies for fluid-rigid body interaction.



author = "Sarrate, J.;Huerta, A. and Don\'ea, J.",
title = "Arbitrary Lagrangian–Eulerian formulation for fluid–rigid body interaction ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "190",
number = "24–25",
pages = "3171 - 3188",
year = "2001",
doi = "http://dx.doi.org/10.1016/S0045-7825(00)00387-X",