Abstract
The advantages of an unsteady implicit partitioned Fluid-Structure Interaction Scheme are, especially for large time step sizes, accompanied by a high number of inner iterations needed. This work investigates the use of extrapolation techniques in between time steps to obtain a smaller number of inner iterations. In contrast to previous works not only the structural displacement but also the fluid field variables are considered for extrapolation. The different extrapolation approaches are compared within a numerical benchmark.
Highlights
In solving partitioned Fluid-Structure Interaction (FSI) problems, the implicit approach has shown great advantages in terms of time step restrictions and stability
In this article the extrapolation of forces acting on the structure at the FSI boundary in order to accelerate unsteady implicit partitioned FSI computations is described and examined
Numerical tests based on an FSI Benchmark show the superior performance of the force extrapolation for different time step sizes
Summary
In solving partitioned Fluid-Structure Interaction (FSI) problems, the implicit approach has shown great advantages in terms of time step restrictions and stability. When exploiting its ability to use large time steps, a main challenge of this approach is to reduce the number of FSI iterations within every time step. This challenge has been investigated by numerous people. Methods working on acceleration within individual time steps and methods integrating several time steps The former include, among others, adaptive under-relaxation of Aitken type as in [13, 6, 5, 14, 15, 9], reduced order modeling [13], steepest descent methods [5], or vector extrapolation [6]
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