Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 90, Issue 12, Pages 1529-1548Publisher
WILEY-BLACKWELL
DOI: 10.1002/nme.4252
Keywords
fluid-structure interaction; arbitrary Lagrangian-Eulerian; velocity-linked formulation; convergence characteristics; blood flow
Funding
- Priority Research Centers through the National Research Foundation (NRF) [0420-20100115]
- NRF
- Ministry of Education, Science, and Technology [R01-2006-000-11122-0, 2009-0079936]
- National Research Foundation of Korea [2009-0079936, R01-2006-000-11122-0] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)
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A velocity-linked algorithm for solving unsteady fluidstructure interaction (FSI) problems in a fully coupled manner is developed using the arbitrary LagrangianEulerian method. The P2/P1 finite element is used to spatially discretize the incompressible NavierStokes equations and structural equations, and the generalized- a method is adopted for temporal discretization. Common velocity variables are employed at the fluidstructure interface for the strong coupling of both equations. Because of the velocity-linked formulation, kinematic compatibility is automatically satisfied and forcing terms do not need to be calculated explicitly. Both the numerical stability and the convergence characteristics of an iterative solver for the coupled algorithm are investigated by solving the FSI problem of flexible tube flows. It is noteworthy that the generalized- a method with small damping is free from unstable velocity fields. However, the convergence characteristics of the coupled system deteriorate greatly for certain Poisson's ratios so that direct solvers are essential for these cases. Furthermore, the proposed method is shown to clearly display the advantage of considering FSI in the simulation of flexible tube flows, while enabling much larger time-steps than those adopted in some previous studies. This is possible through the strong coupling of the fluid and structural equations by employing common primitive variables. Copyright (C) 2012 John Wiley & Sons, Ltd.
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