Numerical Solution of the Viscous Flow Past a Cylinder with a Non-global Yet Spectrally Convergent Meshless Collocation Method

  • Francisco BernalEmail author
  • Alfa R. H. Heryudono
  • Elisabeth Larsson
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 119)


The flow of a viscous fluid past a cylinder is a classical problem in fluid-structure interaction and a benchmark for numerical methods in computational fluid dynamics. We solve it with the recently introduced radial basis function-based partition of unity method (RBF-PUM), which is a spectrally convergent collocation meshless scheme well suited to this kind of problem. The resulting discrete system of nonlinear equations is tackled with a trust-region algorithm, whose performance is much enhanced by the analytic Jacobian which is provided alongside. Preliminary results up to Re = 60 with just 1292 nodes are shown.



F. Bernal acknowledges support from FCT grant SFRH/BPD/79986/2011 and INESC-ID. A. Heryudono is partially supported by NSF Grant DMS 1552238.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Francisco Bernal
    • 1
    Email author
  • Alfa R. H. Heryudono
    • 2
  • Elisabeth Larsson
    • 3
  1. 1.CMAPÉcole PolytechniqueParisFrance
  2. 2.Department of MathematicsUniversity of Massachusetts DartmouthNorth DartmouthUSA
  3. 3.Department of Information TechnologyUppsala UniversityUppsalaSweden

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