New publication on two-way-coupled fluid/beam interaction
26 January 2024
Our new article entitled "A fully coupled regularized mortar-type finite element approach for embedding one-dimensional fibers into three-dimensional fluid flow" has been published as an open-access paper in Wiley's International Journal for Numerical Methods in Engineering.
In this contribution, Dr. Nora Hagmeyer, Dr. Matthias Mayr and Prof. Alexander Popp extend our prior work on one-way coupling of beams embedded into three-dimensional incompressible fluid flow to the case of strong two-way coupling, i.e. accounting for bi-directional coupling between fibers and flow field. In particular, this article studies two different acceleration techniques for the partitioned solver, namely Aitken acceleration and a Matrix-Free Newton-Krylov solver. While the former is easier to implement, the latter demonstrates faster convergence and improved robustness. The proposed coupling algorithms enable the mixed-dimensional modeling and simulation of slender and flexible fibers interacting with fluid flow -- from a single fiber up to thousands of independent fibers.
See also our other publications on mixed-dimensional modeling at our institute:
- One-way coupled fluid-beam interaction: Capturing the effect of embedded slender bodies on global fluid flow and vice versa
- A mortar-type finite element approach for embedding 1D beams into 3D solid volumes
- Consistent coupling of positions and rotations for embedding 1D Cosserat beams into 3D solid volumes
- Computational challenges in mixed-dimensional beam/solid coupling
Hagmeyer N., Mayr M., Popp A. (2024): A fully coupled regularized mortar-type finite element approach for embedding one-dimensional fibers into three-dimensional fluid flow. International Journal for Numerical Methods in Engineering, DOI (Open Access) 
, arXiv 
