Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Falling balls in a viscous fluid with contact: Comparing numerical
  simulations with experimental data   We evaluate a number of different finite element approaches for
fluid-structure (contact) interaction problems against data from physical
experiments. For this we take the data from experiments by Hagemeier [Mendeley
Data, doi: 10.17632/mf27c92nc3.1]. This consists of trajectories of single
particles falling through a highly viscous fluid and rebounding off the bottom
fluid tank wall. The resulting flow is in the transitional regime between
creeping and turbulent flows. This type of configuration is particularly
challenging for numerical methods due to the large change of the fluid domain
and the contact between the wall and particle. In the numerical simulations we
consider both rigid body and linear elasticity models for the falling
particles. In the first case, we compare results obtained with the well
established Arbitrary Lagrangian Eulerian (ALE) approach and a moving domain
CutFEM method together with a simple and common approach for contact avoidance.
For the full fluid-structure interaction (FSI) problem with contact, we use a
fully Eulerian approach in combination with a unified FSI-contact treatment
using Nitsche's method. For higher computational efficiency we use the
geometrical symmetry of the experimental set up to reformulate the FSI system
into two spatial dimensions. Finally, we show full three dimensional ALE
computations to study the effects of small perturbations in the initial state
of the particle to investigate deviations from a perfectly vertical fall
observed in the experiment. The methods are implemented in open-source finite
element libraries and the results are made freely available to aide
reproducibility.

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The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas