Hybridized enriched space-time finite element method for analysis of thin-walled structures immersed in generalized Newtonian fluids

  • Authors:
  • A. Zilian;H. Netuzhylov

  • Affiliations:
  • Technische Universität Braunschweig, Institut für Statik, Beethovenstraíe 51, 38106 Braunschweig, Germany;Technische Universität Braunschweig, Computational Sciences in Engineering, Beethovenstraíe 51, 38106 Braunschweig, Germany

  • Venue:
  • Computers and Structures
  • Year:
  • 2010

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Abstract

The paper addresses the numerical treatment of a specific class of fluid-structure interaction problems: flow-immersed thin structures undergoing considerable motion and deformation. The simultaneous solution procedure uses a mixed-hybrid velocity-based formulation of both fluid and structure discretized by a stabilized time-discontinuous space-time finite element method. The continuity at the interface is ensured by a localized mixed-hybrid interface method avoiding Lagrange multipliers and penalty approaches. The XFEM is utilized for enrichment of the approximation space of the fluid variables in order to represent non-smooth (discontinuous) solution features resulting from immersing a thin structure in a fluid.