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Daily Overview |
| Session | |
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Num3: Numerical Mathematics and Scientific Computing Location: A703 Session Chair: Stefan Frei | |
| Presentation 4 | |
A proposal for numerically benchmarking fluid-structure-contact interaction 1: INRIA Paris, France; 2: University of Konstanz, Germany; 3: Leibniz University Hannover, Germany; 4: Charles University, Czech Republic In this talk, we show progress on a mechanism to systematically evaluate the performance of numerical schemes and software packages on their abilities to create correct contacts and bounces. The benchmark we propose consists in the free fall of a deformable elastic ball inside a viscous incompressible fluid coupled through no-slip boundary condition. The expectation is that this ball bounces off the ground. Given the singular circumstances, which pose mathematical-numerical challenges, we decided for a setting with minimal complexity to ease immitations. Hence it is within the two dimensional space, but with a deformable elastic solid. This is actually critically for a rebound as non-deformable elastic solids would not bounce inside fluids. For this fluid-structure-contact interaction benchmark five independent groups with independent numerical discretizations, solution schemes, and codes have contributed and compared their numerical findings. In this talk, we explain two methods in more detail, namely fully Eulerian fluid-structure using a ghost-penalty cut finite element approach and fluid-structure interaction in arbitrary Lagrangian-Eulerian coordinates. Several quantities of interest like the motion of the center of mass, the contact time, the energy loss (due to dissipation), and some more have been collected on several refinement scales in space and time by each group in order to substaniate the benchmark setting. Finally, we finish with a summary of successes obtained so far and ongoing challenges in designing such a fluid-structure-contact interaction benchmark. | |



