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Field‐to‐field coupled fluid structure interaction: A reduced order model study.

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Title: Field‐to‐field coupled fluid structure interaction: A reduced order model study.
Authors: Tello, Alexis1 (AUTHOR), Codina, Ramon1,2 (AUTHOR) ramon.codina@upc.edu
Source: International Journal for Numerical Methods in Engineering. Jan2021, Vol. 122 Issue 1, p53-81. 29p.
Subjects: Fluid-structure interaction, Proper orthogonal decomposition, Strains & stresses (Mechanics), Degrees of freedom, Fluid pressure, Reduced-order models
Abstract: Summary: 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. [ABSTRACT FROM AUTHOR]
Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Field‐to‐field coupled fluid structure interaction: A reduced order model study.
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  Data: <searchLink fieldCode="AR" term="%22Tello%2C+Alexis%22">Tello, Alexis</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Codina%2C+Ramon%22">Codina, Ramon</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> ramon.codina@upc.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+for+Numerical+Methods+in+Engineering%22">International Journal for Numerical Methods in Engineering</searchLink>. Jan2021, Vol. 122 Issue 1, p53-81. 29p.
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  Data: <searchLink fieldCode="DE" term="%22Fluid-structure+interaction%22">Fluid-structure interaction</searchLink><br /><searchLink fieldCode="DE" term="%22Proper+orthogonal+decomposition%22">Proper orthogonal decomposition</searchLink><br /><searchLink fieldCode="DE" term="%22Strains+%26+stresses+%28Mechanics%29%22">Strains & stresses (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Degrees+of+freedom%22">Degrees of freedom</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+pressure%22">Fluid pressure</searchLink><br /><searchLink fieldCode="DE" term="%22Reduced-order+models%22">Reduced-order models</searchLink>
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  Data: Summary: 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. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of International Journal for Numerical Methods in Engineering is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
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      – Type: doi
        Value: 10.1002/nme.6525
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 29
        StartPage: 53
    Subjects:
      – SubjectFull: Fluid-structure interaction
        Type: general
      – SubjectFull: Proper orthogonal decomposition
        Type: general
      – SubjectFull: Strains & stresses (Mechanics)
        Type: general
      – SubjectFull: Degrees of freedom
        Type: general
      – SubjectFull: Fluid pressure
        Type: general
      – SubjectFull: Reduced-order models
        Type: general
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      – TitleFull: Field‐to‐field coupled fluid structure interaction: A reduced order model study.
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            NameFull: Tello, Alexis
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            NameFull: Codina, Ramon
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          Dates:
            – D: 15
              M: 01
              Text: Jan2021
              Type: published
              Y: 2021
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              Value: 122
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            – TitleFull: International Journal for Numerical Methods in Engineering
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