Spectral Element Methods for Transitional Flows in Complex Geometries

Paul Fischer, Gerald W. Kruse, Francis Loth

Research output: Contribution to journalArticle


We describe the development and implementation of an efficient spectral element code for simulating transitional flows in complex three-dimensional domains. Critical to this effort is the use of geometrically nonconforming elements that allow localized refinement in regions of interest, coupled with a stabilized high-order time-split formulation of the semi-discrete Navier-Stokes equations. Simulations of transition in a model of an arteriovenous graft illustrate the potential of this approach in biomechanical applications.

Original languageEnglish (US)
Pages (from-to)81-98
Number of pages18
JournalJournal of Scientific Computing
Issue number1-4
StatePublished - Dec 1 2002
Externally publishedYes


  • Biofluid dynamics
  • Filtering
  • Incompressible Navier-Stokes
  • Nonconforming methods
  • Spectral elements

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • Engineering(all)
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics

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