Field-to-field coupled fluid structure interaction: a reduced order model study
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The standard Fluid-Structure Interaction (fsi) coupling, that uses as unknowns velocity and pressure for the fluid and displacements for the solid, is compared against two novel types of coupling, the first one a three-field coupling (velocity-pressure-stress/displacement-pressure-stress) introduced by the authors in a recent work, and a two-field coupling (velocity-pressure/displacement-pressure) introduced in this paper, in this way completing our set of Field to Field (f2f) equations, all stabilized by means of the Variational Multi-Scale (vms) method using dynamic and orthogonal subscales. The solid two-field fsi coupling formulation is benchmarked statically and dynamically. Proper Orthogonal Decomposition (pod) is applied to all three fsi formulations to obtain reduced basis and asses their performance in a reduced space. Numerical tests are shown comparing all three formulations. By correctly resolving the Cauchy stress tensor, the three-field fsi coupling proves to provide more accurate results in both Full Order Model (fom) and Reduced Order Model (rom) spaces than its counterparts for a similar number of degrees of freedom, making it a reliable formulation. f2f pairing appears to be beneficial, providing more accurate results in all cases shown; mixed pairing with a three-field formulation in the solid appears to produce very precise results as well.
This is the peer reviewed version of the following article: Tello, A, Codina, R. Field‐to‐field coupled fluid structure interaction: A reduced order model study. Int J Numer Methods Eng. 2021; 122: 53– 81. https://doi.org/10.1002/nme.6525, which has been published in final form at https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.6525. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.
CitationTello, A.; Codina, R. Field-to-field coupled fluid structure interaction: a reduced order model study. "International journal for numerical methods in engineering", 2021, vol. 122, núm. 1, p. 53-81.
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