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

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 sol...

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Main Authors: Johan Lorentzon, Johan Revstedt
Format: Article
Language:English
Published: Wiley 2022-10-01
Series:Engineering Reports
Subjects:
Online Access:https://doi.org/10.1002/eng2.12514
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author Johan Lorentzon
Johan Revstedt
author_facet Johan Lorentzon
Johan Revstedt
author_sort Johan Lorentzon
collection DOAJ
description 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.
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spelling doaj.art-23a7a3b80767493c9ea8fb14d008ea152022-12-22T03:36:57ZengWileyEngineering Reports2577-81962022-10-01410n/an/a10.1002/eng2.12514On stability and relaxation techniques for partitioned fluid‐structure interaction simulationsJohan Lorentzon0Johan Revstedt1Department of Theoretical Chemistry Lund University Lund SwedenDepartment of Energy Sciences, LTH Lund University Lund SwedenAbstract 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.https://doi.org/10.1002/eng2.12514FSILESpartitionedrelaxationstability
spellingShingle Johan Lorentzon
Johan Revstedt
On stability and relaxation techniques for partitioned fluid‐structure interaction simulations
Engineering Reports
FSI
LES
partitioned
relaxation
stability
title On stability and relaxation techniques for partitioned fluid‐structure interaction simulations
title_full On stability and relaxation techniques for partitioned fluid‐structure interaction simulations
title_fullStr On stability and relaxation techniques for partitioned fluid‐structure interaction simulations
title_full_unstemmed On stability and relaxation techniques for partitioned fluid‐structure interaction simulations
title_short On stability and relaxation techniques for partitioned fluid‐structure interaction simulations
title_sort on stability and relaxation techniques for partitioned fluid structure interaction simulations
topic FSI
LES
partitioned
relaxation
stability
url https://doi.org/10.1002/eng2.12514
work_keys_str_mv AT johanlorentzon onstabilityandrelaxationtechniquesforpartitionedfluidstructureinteractionsimulations
AT johanrevstedt onstabilityandrelaxationtechniquesforpartitionedfluidstructureinteractionsimulations