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Partitioned solution of the unsteady adjoint equations for a strongly coupled fluid-structure interaction problem

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Abstract
Unsteady fluid-structure interaction (FSI) simulations are often time-consuming. As a result, the number of simulations has to be limited in optimisation studies and therefore gradient-based optimisation methods are generally preferred. When the number of optimisation parameters is high, the adjoint equations of the unsteady FSI problem need to be solved to obtain the required gradient at a cost (almost) independent of the number of parameters. In this work, a framework is presented to solve both the forward and the adjoint problem in a partitioned way, which means that the flow equations and the structural equations are solved separately. As an illustration, a one-dimensional example is solved, namely the flow of an incompressible fluid in a straight elastic tube. Due to the strong interaction between the fluid and the structure, quasi-Newton coupling iterations are applied to stabilise the partitioned solution of both the forward and the adjoint problem.
Keywords
gradient, quasi-Newton, adjoint, fluid-structure interaction, partitioned

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Chicago
Degroote, Joris, Majid Hojjat, Electra Stavropoulou, Roland Wüchner, and Kai-Uwe Bletzinger. 2012. “Partitioned Solution of the Unsteady Adjoint Equations for a Strongly Coupled Fluid-structure Interaction Problem.” In 6th European Congress on Computational Methods in Applied Sciences and Engineering, Proceedings, ed. J Eberhardsteiner, 1–18.
APA
Degroote, Joris, Hojjat, M., Stavropoulou, E., Wüchner, R., & Bletzinger, K.-U. (2012). Partitioned solution of the unsteady adjoint equations for a strongly coupled fluid-structure interaction problem. In J. Eberhardsteiner (Ed.), 6th European Congress on Computational Methods in Applied Sciences and Engineering, Proceedings (pp. 1–18). Presented at the 6th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS - 2012).
Vancouver
1.
Degroote J, Hojjat M, Stavropoulou E, Wüchner R, Bletzinger K-U. Partitioned solution of the unsteady adjoint equations for a strongly coupled fluid-structure interaction problem. In: Eberhardsteiner J, editor. 6th European Congress on Computational Methods in Applied Sciences and Engineering, Proceedings. 2012. p. 1–18.
MLA
Degroote, Joris, Majid Hojjat, Electra Stavropoulou, et al. “Partitioned Solution of the Unsteady Adjoint Equations for a Strongly Coupled Fluid-structure Interaction Problem.” 6th European Congress on Computational Methods in Applied Sciences and Engineering, Proceedings. Ed. J Eberhardsteiner. 2012. 1–18. Print.
@inproceedings{3099855,
  abstract     = {Unsteady fluid-structure interaction (FSI) simulations are often time-consuming. As a result, the number of simulations has to be limited in optimisation studies and therefore gradient-based optimisation methods are generally preferred. When the number of optimisation parameters is high, the adjoint equations of the unsteady FSI problem need to be solved to obtain the required gradient at a cost (almost) independent of the number of parameters. In this work, a framework is presented to solve both the forward and the adjoint problem in a partitioned way, which means that the flow equations and the structural equations are solved separately. As an illustration, a one-dimensional example is solved, namely the flow of an incompressible fluid in a straight elastic tube. Due to the strong interaction between the fluid and the structure, quasi-Newton coupling iterations are applied to stabilise the partitioned solution of both the forward and the adjoint problem.},
  author       = {Degroote, Joris and Hojjat, Majid and Stavropoulou, Electra and Wüchner, Roland and Bletzinger, Kai-Uwe},
  booktitle    = {6th European Congress on Computational Methods in Applied Sciences and Engineering, Proceedings},
  editor       = {Eberhardsteiner, J},
  isbn         = {9783950248180},
  keywords     = {gradient,quasi-Newton,adjoint,fluid-structure interaction,partitioned},
  language     = {eng},
  location     = {Vienna, Austria},
  pages        = {1--18},
  title        = {Partitioned solution of the unsteady adjoint equations for a strongly coupled fluid-structure interaction problem},
  year         = {2012},
}