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On stability and relaxation techniques for partitioned fluid-structure interaction simulations

Lorentzon, Johan LU and Revstedt, Johan LU (2022) In Engineering Reports 4(10).
Abstract
The stability of relaxation techniques has been studied for strongly coupled fluid-structure interaction (FSI) with application to a cantilever immersed in channel flow. The fluid is governed by Navier–Stokes equations for incompressible flow condition using turbulence modeling, and the solid is governed by the equation of motion with compressible material modeling. The applied kinematic description is Lagrangian for the solid and Eulerian for the fluid. The coupling of the state solvers is achieved by the Arbitrary Lagrange–Euler procedure, which involves a mesh motion solver, and the FSI procedure is stabilized by relaxation. It is shown that the stability can be related to the frequency shift caused by FSI, and they follow the same rate... (More)
The stability of relaxation techniques has been studied for strongly coupled fluid-structure interaction (FSI) with application to a cantilever immersed in channel flow. The fluid is governed by Navier–Stokes equations for incompressible flow condition using turbulence modeling, and the solid is governed by the equation of motion with compressible material modeling. The applied kinematic description is Lagrangian for the solid and Eulerian for the fluid. The coupling of the state solvers is achieved by the Arbitrary Lagrange–Euler procedure, which involves a mesh motion solver, and the FSI procedure is stabilized by relaxation. It is shown that the stability can be related to the frequency shift caused by FSI, and they follow the same rate for the shape factor of the structure with an offset. The results correlate well to theoretical results and show that all relaxations fail for sufficient high-frequency shift for given mesh resolution. We also propose a continuation technique to stabilize the solution near the instability region, which improves efficiency and can be integrated easily for the black-box FSI solution procedure. (Less)
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
FSI, LES, Partitioned, Relaxation, Stability
in
Engineering Reports
volume
4
issue
10
pages
19 pages
publisher
Wiley
external identifiers
  • scopus:85138846104
ISSN
2577-8196
DOI
10.1002/eng2.12514
language
English
LU publication?
yes
id
6db9aee8-a4e6-4d17-aace-73c999f51775
date added to LUP
2022-05-26 12:20:41
date last changed
2023-04-05 16:43:39
@article{6db9aee8-a4e6-4d17-aace-73c999f51775,
  abstract     = {{The stability of relaxation techniques has been studied for strongly coupled fluid-structure interaction (FSI) with application to a cantilever immersed in channel flow. The fluid is governed by Navier–Stokes equations for incompressible flow condition using turbulence modeling, and the solid is governed by the equation of motion with compressible material modeling. The applied kinematic description is Lagrangian for the solid and Eulerian for the fluid. The coupling of the state solvers is achieved by the Arbitrary Lagrange–Euler procedure, which involves a mesh motion solver, and the FSI procedure is stabilized by relaxation. It is shown that the stability can be related to the frequency shift caused by FSI, and they follow the same rate for the shape factor of the structure with an offset. The results correlate well to theoretical results and show that all relaxations fail for sufficient high-frequency shift for given mesh resolution. We also propose a continuation technique to stabilize the solution near the instability region, which improves efficiency and can be integrated easily for the black-box FSI solution procedure.}},
  author       = {{Lorentzon, Johan and Revstedt, Johan}},
  issn         = {{2577-8196}},
  keywords     = {{FSI; LES; Partitioned; Relaxation; Stability}},
  language     = {{eng}},
  month        = {{04}},
  number       = {{10}},
  publisher    = {{Wiley}},
  series       = {{Engineering Reports}},
  title        = {{On stability and relaxation techniques for partitioned fluid-structure interaction simulations}},
  url          = {{http://dx.doi.org/10.1002/eng2.12514}},
  doi          = {{10.1002/eng2.12514}},
  volume       = {{4}},
  year         = {{2022}},
}