Numerical Benchmarking of fluid-structure Interaction between an elastic Object and laminar incompressible Flow


We describe new benchmark settings for the rigorous evaluation of different methods for fluid-structure interaction problems. The configurations consist of laminar imcompressible channel flow around an elastic object which results in self-induced oscillations of the structure. Moreover, characteristic flow quantities and corresponding plots are provided for a quantitative comparison.


The main purpose of this benchmark proposal is to describe specific configurations which shall help in future to test and to compare different numerical methods and code implementations for the fluid-structure interaction (FSI) problem. In particular, the various coupling mechanisms, ranging from partitioned, weakly coupled approaches to fully coupled, monolithic schemes are of high interest. Moreover, it shall be possible to examine the quality of different discretization schemes (FEM, FV, FD, LBM, resp., beam, shell, volume elements), and the robustness and numerical efficiency of the integrated solver components shall be a further aspect. This new benchmark is based on the older successful flow around cylinder setting developed in [TurekSchaefer1996] for incompressible laminar flow and on the setup in [Wall98]. Similar to these older configurations we consider the fluid to be incompressible and in the laminar regime. The structure is allowed to be compressible, and the deformations of the structure should be significant. The overall setup of the interaction problem is such that the solid object with elastic part is submerged in a channel flow. Then, self induced oscillations in the fluid and the deformable part of the structure are obtained so that characteristic physical quantities and plots for the time-dependent results can be provided.