Abstract
Fluid-structure interaction problems arise in many application fields such as flows around elastic structures or blood flow problems in arteries. The method presented in this paper for solving such a problem is based on a reduction to an equation at the interface, involving the so-called Steklov-Poincaré operators. This interface equation is solved by a Newton-like iteration. One step of the Newton-like iteration requires the solution of several decoupled linear subproblems in the structural and the fluid domains. These subproblems are spatially discretized by a finite element method on hybrid meshes. For the time discretization implicit first-order methods are used for both subproblems. The discretized equations are solved by algebraic multigrid methods.
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References
Deparis, S., Discacciati, M., Fourestey, G., Quarteroni, A.: Fluid-structure algorithms based on Steklov-Poincaré operators. J. Comput. Methods Appl. Mech. Engrg. 105, 5799–5812 (2006)
Fernández, M.A., Moubachir, M.: A Newton method using exact Jacobians for solving fluid-structure coupling. J. Comput. and Struct. 83(2-3), 127–142 (2005)
Reitzinger, S.: Algebraic Multigrid Methods for Large Scale Finite Element Equations. PhD thesis, Johannes Kepler Unversity Linz (2001)
Wabro, M.: Algebraic Multigrid Methods for the Numerical Solution of the Incompressible Navier-Stokes Equations. PhD thesis, Johannes Kepler Unversity Linz (2003)
Yang, H.: Numerical Simulations of Fluid-structure Interaction Problems on Hybrid Meshes with Algebraic Multigrid Methods. PhD thesis, Johannes Kepler Unversity Linz (in preparation) (2009)
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Yang, H., Zulehner, W. (2010). Numerical Simulation of Fluid-Structure Interaction Problems on Hybrid Meshes with Algebraic Multigrid Methods. In: Lirkov, I., Margenov, S., Waśniewski, J. (eds) Large-Scale Scientific Computing. LSSC 2009. Lecture Notes in Computer Science, vol 5910. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12535-5_12
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DOI: https://doi.org/10.1007/978-3-642-12535-5_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12534-8
Online ISBN: 978-3-642-12535-5
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