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Quasi-Newton methods for partitioned simulation of fluid-structure interaction reviewed in the generalized Broyden framework

Nicolas Delaissé (UGent) , Toon Demeester (UGent) , Robby Haelterman (UGent) and Joris Degroote (UGent)
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Abstract
Fluid-structure interaction simulations can be performed in a partitioned way, by coupling a flow solver with a structural solver. However, Gauss–Seidel iterations between these solvers without additional stabilization efforts will converge slowly or not at all under common conditions such as an incompressible fluid and a high added mass. Quasi-Newton methods can then stabilize and accelerate the coupling iterations, while still using the solvers as black boxes and only accessing data at the fluid–structure interface. In this review, the IQN-ILS, IQN-MVJ, IBQN-LS, MVQN, IQN-IMVLS and IQN-ILSM methods are reformulated in the generalized Broyden framework to illustrate their similarities and differences. Also related coupling techniques are reviewed and a performance comparison is provided where available.
Keywords
Applied Mathematics, fluid-structure interaction, quasi-Newton, partitioned, least-squares, multi-vector, Broyden, Anderson, ALGORITHMS, SOLVERS, FLOW, COMPRESSIBILITY, IMPLEMENTATION, CONVERGENCE, EFFICIENCY, STABILITY, HEART, 3D

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MLA
Delaissé, Nicolas, et al. “Quasi-Newton Methods for Partitioned Simulation of Fluid-Structure Interaction Reviewed in the Generalized Broyden Framework.” ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, vol. 30, 2023, pp. 3271–300, doi:10.1007/s11831-023-09907-y.
APA
Delaissé, N., Demeester, T., Haelterman, R., & Degroote, J. (2023). Quasi-Newton methods for partitioned simulation of fluid-structure interaction reviewed in the generalized Broyden framework. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, 30, 3271–3300. https://doi.org/10.1007/s11831-023-09907-y
Chicago author-date
Delaissé, Nicolas, Toon Demeester, Robby Haelterman, and Joris Degroote. 2023. “Quasi-Newton Methods for Partitioned Simulation of Fluid-Structure Interaction Reviewed in the Generalized Broyden Framework.” ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING 30: 3271–3300. https://doi.org/10.1007/s11831-023-09907-y.
Chicago author-date (all authors)
Delaissé, Nicolas, Toon Demeester, Robby Haelterman, and Joris Degroote. 2023. “Quasi-Newton Methods for Partitioned Simulation of Fluid-Structure Interaction Reviewed in the Generalized Broyden Framework.” ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING 30: 3271–3300. doi:10.1007/s11831-023-09907-y.
Vancouver
1.
Delaissé N, Demeester T, Haelterman R, Degroote J. Quasi-Newton methods for partitioned simulation of fluid-structure interaction reviewed in the generalized Broyden framework. ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING. 2023;30:3271–300.
IEEE
[1]
N. Delaissé, T. Demeester, R. Haelterman, and J. Degroote, “Quasi-Newton methods for partitioned simulation of fluid-structure interaction reviewed in the generalized Broyden framework,” ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING, vol. 30, pp. 3271–3300, 2023.
@article{01GXRMX0V70A3W5T1BG1V8GY5W,
  abstract     = {{Fluid-structure interaction simulations can be performed in a partitioned way, by coupling a flow solver with a structural solver. However, Gauss–Seidel iterations between these solvers without additional stabilization efforts will converge slowly or not at all under common conditions such as an incompressible fluid and a high added mass. Quasi-Newton methods can then stabilize and accelerate the coupling iterations, while still using the solvers as black boxes and only accessing data at the fluid–structure interface. In this review, the IQN-ILS, IQN-MVJ, IBQN-LS, MVQN, IQN-IMVLS and IQN-ILSM methods are reformulated in the generalized Broyden framework to illustrate their similarities and differences. Also related coupling techniques are reviewed and a performance comparison is provided where available.}},
  author       = {{Delaissé, Nicolas and Demeester, Toon and Haelterman, Robby and Degroote, Joris}},
  issn         = {{1134-3060}},
  journal      = {{ARCHIVES OF COMPUTATIONAL METHODS IN ENGINEERING}},
  keywords     = {{Applied Mathematics,fluid-structure interaction,quasi-Newton,partitioned,least-squares,multi-vector,Broyden,Anderson,ALGORITHMS,SOLVERS,FLOW,COMPRESSIBILITY,IMPLEMENTATION,CONVERGENCE,EFFICIENCY,STABILITY,HEART,3D}},
  language     = {{eng}},
  pages        = {{3271--3300}},
  title        = {{Quasi-Newton methods for partitioned simulation of fluid-structure interaction reviewed in the generalized Broyden framework}},
  url          = {{http://doi.org/10.1007/s11831-023-09907-y}},
  volume       = {{30}},
  year         = {{2023}},
}

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