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A parallel solver for vortex-induced vibrations at zero mass ratio — arXiv:2609.31477

Source: arXiv (en)
Original: https://arxiv.org/abs/2609.31477
License (as archived): CC0-1.0
Archived: 2026-10-08T03:48:12.958Z
SHA-256 of the archived text: 7d9ee16b352d3f33e3d5dbf61a4b85c423f2f645174df7cddd17ab320999695e
Stable URL of this page: https://metraipolis.com/documento/dc_a4b375aeee35

How to cite

A parallel solver for vortex-induced vibrations at zero mass ratio — arXiv:2609.31477 — arXiv (en), https://arxiv.org/abs/2609.31477 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_a4b375aeee35 (Metraipolis archive dc_a4b375aeee35, sha256 7d9ee16b352d3f33e3d5dbf61a4b85c423f2f645174df7cddd17ab320999695e)

BibTeX

@misc{dca4b375aeee35,
  title = {A parallel solver for vortex-induced vibrations at zero mass ratio — arXiv:2609.31477},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2609.31477},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_a4b375aeee35; sha256 7d9ee16b352d3f33e3d5dbf61a4b85c423f2f645174df7cddd17ab320999695e},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2609.31477. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We present a parallel strategy for the study of the vortex-induced vibrations (VIV) of a rigid, massless cylinder mounted on translational springs, in two and three dimensions. Without mass or damping, its motion is governed solely by the fluid forces and the spring restoring force, and is an immediate response to the flow. We focus on low spring stiffness, yielding high reduced velocity and maximal oscillation amplitude. A monolithic finite element method in an arbitrary Lagrangian-Eulerian framework with implicit time stepping is proposed, solving the fluid flow, cylinder dynamics, and mesh motion simultaneously. Mesh movement is modelled with a linear elastic pseudo-solid with variable Lamé coefficients, and the no-slip condition on the cylinder is enforced with a Lagrange multiplier coupled to the position degrees of freedom; three strategies are explored to enforce this force-position coupling in a distributed framework. To the best of our knowledge, this work is the first to propose a distributed solver for three-dimensional fluid-structure interaction at zero mass ratio. The solver is verified with manufactured solutions, and exhibits second-order accuracy in time. A numerical study of two- and three-dimensional VIV for Reynolds numbers from 100 to 300 reproduces the VIV responses obtained in previous two-dimensional studies, and predicts nonperiodic 3D oscillations starting at $Re = 300$. Using the direct solver MUMPS, the proposed method scales to up to 768 compute cores.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-09-28 in physics.comp-ph).
Categorie arXiv: Fluid Dynamics (physics.flu-dyn) ; Computational Physics (physics.comp-ph).
Pagina del lavoro: https://arxiv.org/abs/2609.31477 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-08T03:15:40.822Z dalla pagina https://arxiv.org/catchup/physics.comp-ph/2026-09-28?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).