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Stabilization of an open-source finite-volume solver for viscoelastic fluid flows.

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Title: Stabilization of an open-source finite-volume solver for viscoelastic fluid flows.
Authors: Pimenta, F.1 fpimenta@fe.up.pt, Alves, M.A.1 mmalves@fe.up.pt
Source: Journal of Non-Newtonian Fluid Mechanics. Jan2017, Vol. 239, p85-104. 20p.
Subjects: Finite volume method, Viscoelasticity, Reynolds number, Analytical solutions, Fluid dynamics
Abstract: In this work, we modify the viscoelastic solver available in the OpenFOAM ® toolbox (Favero et al., 2010), in order to improve its stability for differential-type constitutive equations. The Oldroyd-B constitutive equation is solved using the log-conformation approach and the high-resolution schemes used to discretize the convective terms are handled with a component-wise and deferred correction approach. The pressure-velocity coupling is ensured using the SIMPLEC algorithm, and a new stress-velocity coupling term is also introduced. We demonstrate that the new solver is second-order accurate, both in space and time, by assessing the performance in problems with known analytical solution and using Richardson's extrapolation. The solver is further tested on the 4:1 planar contraction benchmark problem using an Oldroyd-B fluid ( β  = 1/9) at low Reynolds number flow conditions ( Re = 0.01), considering a wide range of Deborah numbers, 0 ≤ De ≤ 12. A good agreement with reference works is observed at low De, as well as with an in-house viscoelastic flow solver. At higher De , the vortex dynamics is essentially controlled by the singularity region in the re-entrant corner of the contraction, revealing a significant dependence of the numerical results on the mesh resolution. The corner vortex dynamics is also analyzed, from the flow startup at several De , providing new accurate data on the transient behavior of this problem. In summary, this work provides a robust open-source solver for viscoelastic flows, as well as new data on an old problem, which has still open questions and challenges. [ABSTRACT FROM AUTHOR]
Copyright of Journal of Non-Newtonian Fluid Mechanics is the property of Elsevier B.V. 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.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 120754971
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  Data: Stabilization of an open-source finite-volume solver for viscoelastic fluid flows.
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  Data: <searchLink fieldCode="AR" term="%22Pimenta%2C+F%2E%22">Pimenta, F.</searchLink><relatesTo>1</relatesTo><i> fpimenta@fe.up.pt</i><br /><searchLink fieldCode="AR" term="%22Alves%2C+M%2EA%2E%22">Alves, M.A.</searchLink><relatesTo>1</relatesTo><i> mmalves@fe.up.pt</i>
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Non-Newtonian+Fluid+Mechanics%22">Journal of Non-Newtonian Fluid Mechanics</searchLink>. Jan2017, Vol. 239, p85-104. 20p.
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  Data: <searchLink fieldCode="DE" term="%22Finite+volume+method%22">Finite volume method</searchLink><br /><searchLink fieldCode="DE" term="%22Viscoelasticity%22">Viscoelasticity</searchLink><br /><searchLink fieldCode="DE" term="%22Reynolds+number%22">Reynolds number</searchLink><br /><searchLink fieldCode="DE" term="%22Analytical+solutions%22">Analytical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Fluid+dynamics%22">Fluid dynamics</searchLink>
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  Label: Abstract
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  Data: In this work, we modify the viscoelastic solver available in the OpenFOAM ® toolbox (Favero et al., 2010), in order to improve its stability for differential-type constitutive equations. The Oldroyd-B constitutive equation is solved using the log-conformation approach and the high-resolution schemes used to discretize the convective terms are handled with a component-wise and deferred correction approach. The pressure-velocity coupling is ensured using the SIMPLEC algorithm, and a new stress-velocity coupling term is also introduced. We demonstrate that the new solver is second-order accurate, both in space and time, by assessing the performance in problems with known analytical solution and using Richardson's extrapolation. The solver is further tested on the 4:1 planar contraction benchmark problem using an Oldroyd-B fluid ( β  = 1/9) at low Reynolds number flow conditions ( Re = 0.01), considering a wide range of Deborah numbers, 0 ≤ De ≤ 12. A good agreement with reference works is observed at low De, as well as with an in-house viscoelastic flow solver. At higher De , the vortex dynamics is essentially controlled by the singularity region in the re-entrant corner of the contraction, revealing a significant dependence of the numerical results on the mesh resolution. The corner vortex dynamics is also analyzed, from the flow startup at several De , providing new accurate data on the transient behavior of this problem. In summary, this work provides a robust open-source solver for viscoelastic flows, as well as new data on an old problem, which has still open questions and challenges. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Journal of Non-Newtonian Fluid Mechanics is the property of Elsevier B.V. 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: 10.1016/j.jnnfm.2016.12.002
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 20
        StartPage: 85
    Subjects:
      – SubjectFull: Finite volume method
        Type: general
      – SubjectFull: Viscoelasticity
        Type: general
      – SubjectFull: Reynolds number
        Type: general
      – SubjectFull: Analytical solutions
        Type: general
      – SubjectFull: Fluid dynamics
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              Text: Jan2017
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