A fixed-grid b-spline finite element technique for fluid-structure interaction

SUMMARYWe present a fixed‐grid finite element technique for fluid–structure interaction problems involving incompressible viscous flows and thin structures. The flow equations are discretised with isoparametric b‐spline basis functions defined on a logically Cartesian grid. In addition, the previous...

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Veröffentlicht in:International journal for numerical methods in fluids Jg. 74; H. 9; S. 623 - 660
Hauptverfasser: Rüberg, T., Cirak, F.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Chichester, UK John Wiley & Sons, Ltd 30.03.2014
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Schlagworte:
b-splines
Basis functions
Computational fluid dynamics
Finite element method
finite elements
Fluid flow
Fluid-structure interaction
Fluids
isogeometric analysis
Mathematical analysis
Mathematical models
Navier-Stokes
pressure-correction method
ISSN:0271-2091, 1097-0363
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Zusammenfassung:SUMMARYWe present a fixed‐grid finite element technique for fluid–structure interaction problems involving incompressible viscous flows and thin structures. The flow equations are discretised with isoparametric b‐spline basis functions defined on a logically Cartesian grid. In addition, the previously proposed subdivision‐stabilisation technique is used to ensure inf–sup stability. The beam equations are discretised with b‐splines and the shell equations with subdivision basis functions, both leading to a rotation‐free formulation. The interface conditions between the fluid and the structure are enforced with the Nitsche technique. The resulting coupled system of equations is solved with a Dirichlet–Robin partitioning scheme, and the fluid equations are solved with a pressure–correction method. Auxiliary techniques employed for improving numerical robustness include the level‐set based implicit representation of the structure interface on the fluid grid, a cut‐cell integration algorithm based on marching tetrahedra and the conservative data transfer between the fluid and structure discretisations. A number of verification and validation examples, primarily motivated by animal locomotion in air or water, demonstrate the robustness and efficiency of our approach. Copyright © 2013 John Wiley & Sons, Ltd. We present a fixed‐grid finite element technique for fluid‐structure interaction problems involving incompressible viscous flows and thin structures. The flow equations are discretised using isoparametric b‐spline basis functions defined on a logically Cartesian grid. The beam equations are discretised with b‐splines, and the shell equations with subdivision basis functions, both leading to a rotation‐free formulation.
Bibliographie:ark:/67375/WNG-ZL6GBGXQ-M
istex:9DC58CF2B1337974E11C00D871ECC1A1EC3E8F60
ArticleID:FLD3864
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:0271-2091
1097-0363
DOI:10.1002/fld.3864