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Memorias de investigación
Communications at congresses:
Finite-Element Numerical Methods for BiGlobal Linear Instability Analysis of Vortical Flows
Year:2007
Research Areas
  • Fluid mechanics
Information
Abstract
Highly resolved, accurate solutions of the two-dimensional incompressible Navier-Stokes and continuity equations, describing the evolution of a counter-rotating pair of vortices, have been obtained efficiently by spectral collocation and an eigenvalue decomposition algorithm. Such solutions have formed the basic state for subsequent three-dimensional BiGlobal eigenvalue problem (EVP) linear instability analyses, which monitor the modal response of the vortical systems to small-amplitude perturbations along the homogeneous axial spatial direction, without the need to invoke an assumption of azimuthal spatial homogeneity. A finite-element methodology (FEM) has been adapted to study instability of vortical flows and has been validated on the Batchelor vortex. Subsequently, instability of the counter-rotating pair of vortices obtained previously has been analyzed; essential to the success of the analysis has been the appropriate design of a calculation mesh, as well as exploitation of the symmetries of the basic state. The spatial structure of the amplitude functions of all unstable eigenmodes reflects the inhomogeneity of the basic state in the azimuthal spatial direction, thus providing a-posteriori justification for the use of the BiGlobal EVP concept.
International
Si
Congress
AIAA Paper 2007-4359, 37th AIAA Fluid Dynamics Conference and Exhibit
960
Place
Miami, FL, USA
Reviewers
Si
ISBN/ISSN
ISBN-10: 1-56347-897
Start Date
25/06/2007
End Date
28/06/2007
From page
To page
Participants
  • Autor: LEO GONZÁLEZ (UPM School of Naval Engineering)
  • Autor: Vassilios Theofilis (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Mecánica de Fluidos Computacional
  • Departamento: Motopropulsión y Termofluidodinámica
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