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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 85
Edited by: B.H.V. Topping
Paper 62

A Partitioned Approach for the Solution of Three-Dimensional Time-Dependent Incompressible Fluid-Structure Interaction

C. Wood, A.J. Gil, O. Hassan and J. Bonet

Civil and Computational Engineering Centre, School of Engineering, University of Wales Swansea, United Kingdom

Full Bibliographic Reference for this paper
C. Wood, A.J. Gil, O. Hassan, J. Bonet, "A Partitioned Approach for the Solution of Three-Dimensional Time-Dependent Incompressible Fluid-Structure Interaction", in B.H.V. Topping, (Editor), "Proceedings of the Fifteenth UK Conference of the Association of Computational Mechanics in Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 62, 2007. doi:10.4203/ccp.85.62
Keywords: coupled systems, partitioned analysis, fluid-structure interaction, Arbitrary Lagrangian-Eulerian (ALE) formulations, multiphysics, parallel computation.

This paper introduces a novel fully coupled 3D solver for the analysis of unsteady fluid-structure interaction. In contrast to monolithical approaches [3] the methodology presented here can be framed within the so-called partitioned schemes [1]. Therefore a partitioned time marching algorithm is developed for the solution of the time-dependent coupled discretised problem. Accurate coupling of both fields is achieved through a conservative interpolation scheme at the fluid-structure interface. The three-dimensional unsteady incompressible fluid is solved using an implicit dual time stepping technique with an explicit multi-stage Runga-Kutta time stepping in pseudo time and ALE formulation for the moving boundaries [2]. Analogously, a finite element dynamic analysis of the structure is carried out with a numerical strategy combining the implicit Newmark time integration algorithm with a Newton-Raphson second order optimisation method. A benchmark problem is presented, results of which show close correspondence with the literature. A three-dimensional biomedical application of this algorithm is applied to a ruptured arterial aneurysm for normal and hypertensive blood pressures.

C.A Felippa, K.C. Park and C. Farhat, "Partitioned anlaysis of coupled mechanical systems", Computer Methods in Applied Mechanics and Engineering, 190, 3247-3270, 2001. doi:10.1016/S0045-7825(00)00391-1
A.J. Gil, Z. Zhang, O. Hassan and K. Morgan, "A parallel unsteady multigrid DES algorithm for the solution of 3D incompressible flows on unstructured grids", Journal of Aerospace Engineering, 19, 271-280, 2006. doi:10.1061/(ASCE)0893-1321(2006)19:4(271)
B. Hübner, E. Walhorn and D. Dinkler, "A monolithic approach to fluid-structure interaction using space-time finite elements", Computer Methods in Applied Mechanics and Engineering, 193, 2087-2104, 2004. doi:10.1016/j.cma.2004.01.024

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