Spectral Element Methods for Transitional Flows in Complex Geometries

Authors:
Paul F. Fischer;Gerald W. Kruse;Francis Loth
Affiliations:
Mathematics and Computer Science Division, Argonne National Laboratory, Argonne, Illinois 60439. fischer@mcs.anl.gov;Department of Mathematics and Computer Science, Juniata College, Huntingdon, Pennsylvania 16652;Mechanical Engineering Department, University of Illinois, Chicago, Illinois 60607
Venue:
Journal of Scientific Computing
Year:
2002

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Abstract

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.