Fluid-Structure Interaction: Acceleration of Strong Coupling by Preconditioning of the Fixed-Point Iteration
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.
KeywordsAcceleration Method Linear Multistep Method Standard Iteration Specific Precondition Standard Lagrangian Multiplier
The first author was supported by Deutsche Forschungsgemeinschaft (DFG) through the TUM International Graduate School of Science and Engineering (IGSSE) within Project 2-11. This support is gratefully acknowledged.
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