Fluid-Structure Interaction: Acceleration of Strong Coupling by Preconditioning of the Fixed-Point Iteration

M. R. Dörfel () and B. Simeon ()
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M. R. Dörfel: Technische Universität München, Chair of Numerical Analysis
B. Simeon: Technische Universität Kaiserslautern, Department of Mathematics

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 741-749 from Springer

Abstract: Abstract This contribution focuses on partitioned solution approaches in fluid-structure interaction problems. Depending on certain physical parameters of fluid and structure, the fixed-point iteration that is mostly used to strongly couple the different solvers in each time step is susceptible to deceleration. We present a method that is able to overcome this effect by a specific preconditioning of the fixed-point iteration. Thus, the full convergence order of the underlying time-discretisation schemes is preserved. As computational example, a benchmark problem from hemodynamics is considered where this effect has a particularly strong influence. It turns out that, though a single step of the preconditioned iteration is more expensive, the overall gain in efficiency can be significant.

Keywords: Acceleration Method; Linear Multistep Method; Standard Iteration; Specific Precondition; Standard Lagrangian Multiplier (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_78

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DOI: 10.1007/978-3-642-33134-3_78

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