# Dynamic fluid–structure interaction using finite volume unstructured mesh procedures

Slone, A.K., Pericleous, K., Bailey, C. and Cross, M. (2002) *Dynamic fluid–structure interaction using finite volume unstructured mesh procedures.* Computers & Structures, 80 (5-6). pp. 371-390. ISSN 0045-7949 (doi:10.1016/S0045-7949(01)00177-8)

## Abstract

A three-dimensional finite volume, unstructured mesh (FV-UM) method for dynamic fluid–structure interaction (DFSI) is described. Fluid structure interaction, as applied to flexible structures, has wide application in diverse areas such as flutter in aircraft, wind response of buildings, flows in elastic pipes and blood vessels. It involves the coupling of fluid flow and structural mechanics, two fields that are conventionally modelled using two dissimilar methods, thus a single comprehensive computational model of both phenomena is a considerable challenge. Until recently work in this area focused on one phenomenon and represented the behaviour of the other more simply. More recently, strategies for solving the full coupling between the fluid and solid mechanics behaviour have been developed. A key contribution has been made by Farhat et al. [Int. J. Numer. Meth. Fluids 21 (1995) 807] employing FV-UM methods for solving the Euler flow equations and a conventional finite element method for the elastic solid mechanics and the spring based mesh procedure of Batina [AIAA paper 0115, 1989] for mesh movement.

In this paper, we describe an approach which broadly exploits the three field strategy described by Farhat for fluid flow, structural dynamics and mesh movement but, in the context of DFSI, contains a number of novel features:

• a single mesh covering the entire domain,

• a Navier–Stokes flow,

• a single FV-UM discretisation approach for both the flow and solid mechanics procedures,

• an implicit predictor–corrector version of the Newmark algorithm,

• a single code embedding the whole strategy.

Item Type: | Article |
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Uncontrolled Keywords: | fluid structure interaction, finite volume, transient structural dynamics, geometric conservation law, Newmark algorithm |

Subjects: | Q Science > QA Mathematics |

School / Department / Research Groups: | School of Computing & Mathematical Sciences > Centre for Numerical Modelling & Process Analysis > Computational Science & Engineering Group School of Computing & Mathematical Sciences School of Computing & Mathematical Sciences > Department of Mathematical Sciences |

Related URLs: | |

Last Modified: | 09 Dec 2011 17:24 |

URI: | http://gala.gre.ac.uk/id/eprint/5969 |

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