arXiv Computer Science
arXiv Computer Science
Preprint
3 years ago

Fluid-beam interaction: Capturing the effect of embedded slender bodies on global fluid flow and vice versa. (arXiv:2104.09844v1 [cs.CE])

Nora Hagmeyer, Matthias Mayr, Ivo Steinbrecher, Alexander Popp
This work addresses research questions arising from the application of geometrically exact beam theory in the context of fluid-structure interaction (FSI). Geometrically exact beam theory has proven to be a computationally efficient way to model the behavior of slender structures while leading to rather well-posed problem descriptions. In particular, we propose a mixed-dimensional embedded finite element approach for the coupling of one-dimensional geometrically exact beam equations to a three-dimensional background fluid mesh, referred to as fluid-beam interaction (FBI) in analogy to the well-established notion of FSI. Here, the fluid is described by the incompressible isothermal Navier-Stokes equations for Newtonian fluids. In particular, we present algorithmic aspects regarding the solution of the resulting one-way coupling schemes and, through selected numerical examples, analyze their suitability not only as stand-alone methods but also for an extension to a full two-way coupling scheme.

Publisher URL: http://arxiv.org/abs/2104.09844

DOI: arXiv:2104.09844v1

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