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
Abstract:
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.
Bibtex:
@article{2001-CMAME-SHD, 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", }