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OpenFOAM® pp 269-280 | Cite as

Improving the Numerical Stability of Steady-State Differential Viscoelastic Flow Solvers in OpenFOAM\(^{\textregistered }\)

  • Célio Fernandes
  • Manoel S. B. Araujo
  • Luís L. Ferrás
  • J. Miguel NóbregaEmail author
Chapter

Abstract

This work reports the developments made in improving the numerical stability of the viscoelastic solvers available in the open-source finite volume computational library \(OpenFOAM^{\textregistered }\). For this purpose, we modify the usual both-side diffusion (BSD) technique, using a new approach to discretize the explicit diffusion operator. Calculations performed with the new solver, for two benchmark 2D case studies of an upper-convected Maxwell (UCM) fluid, are presented and compared with literature results, namely the 4:1 planar contraction flow and the flow around a confined cylinder. In the 4:1 planar contraction flow, the corner vortex size predictions agree well with the literature, and a relative error below \(5.3 \%\) is obtained for \(De \le 5\). In the flow around a confined cylinder, the predictions of the drag coefficient on the cylinder are similar to reference data, with a relative error below \(0.16 \%\) for \(De \le 0.9\).

Notes

Acknowledgements

This work is funded by FEDER funds through the COMPETE 2020 Programme and National Funds through FCT—Portuguese Foundation for Science and Technology under the project UID/CTM/50025/2013 and under the scholarship SFRH/BPD/100353/2014. The author M.S.B. Araujo acknowledges funding from CAPES (Coordenação de Aperfeiçoamento de Pessoal de Nível Superior) proc. BEX 1902-14-8. The authors would like to acknowledge the Minho University cluster under the project Search-ON2: Revitalization of HPC infrastructure of UMinho, (NORTE-07-0162-FEDER-000086), co-funded by the North Portugal Regional Operational Programme (ON.2-0 Novo Norte), under the National Strategic Reference Framework (NSRF), through the European Regional Development Fund (ERDF).

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Célio Fernandes
    • 1
  • Manoel S. B. Araujo
    • 2
  • Luís L. Ferrás
    • 1
  • J. Miguel Nóbrega
    • 1
    Email author
  1. 1.Institute for Polymers and Composites/i3NUniversity of MinhoGuimarãesPortugal
  2. 2.Instituto de Ciências Exatas e Naturais, Faculdade de MatemáticaUniversidade Federal do ParáBelemBrazil

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