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On instability characteristics of isolated vortices and models of trailing-vortex systems

Hein, S. und Theofilis, Vassilios (2004) On instability characteristics of isolated vortices and models of trailing-vortex systems. Computers & Fluids, 33, Seiten 741-753. ELSEVIER.

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Kurzfassung

This paper demonstrates the applicability of a two-dimensional eigenvalue problem approach to the study of linear instability of analytically constructed and numerically calculated models of trailing-vortex systems. Chebyshev collocation is used in the 2D eigenvalue problem solution in order to discretize two spatial directions on which non-axisymmetric vorticity distributions are defined, while the third, axial spatial direction is taken to be homogeneous and is resolved by a Fourier expansion. The leading eigenvalues of the matrix discretizing the equations which govern small-amplitude perturbations superimposed upon such a vorticity distribution are obtained by Arnoldi iteration. The present approach has been validated by comparison of its results on the problem of instability of an isolated Batchelor vortex. Here benchmark computations exist, employing classic instability analysis, in which the azimuthal direction is also treated as homogeneous. Subsequently, the proposed methodology has been shown to be able to recover the classic long- (Crow) and short-wavelength instabilities of a counter-rotating vortex-pair basic flow obtained by direct numerical simulation. Finally, the effect on the eigenspectrum of the isolated Batchelor vortex is documented, when the basic flow consists of a linear superposition of such vortices. The modi- fications of the eigenspectrum of a single vortex point to the potential pitfalls of drawing conclusions on the instability characteristics of a trailing-vortex system by monitoring the constituent vortices in isolation.

Dokumentart:Zeitschriftenbeitrag
Zusätzliche Informationen: LIDO-Berichtsjahr=2004,
Titel:On instability characteristics of isolated vortices and models of trailing-vortex systems
Autoren:
AutorenInstitution oder E-Mail-Adresse der Autoren
Hein, S.NICHT SPEZIFIZIERT
Theofilis, VassiliosNICHT SPEZIFIZIERT
Datum:2004
Erschienen in:Computers & Fluids
Referierte Publikation:Ja
In ISI Web of Science:Ja
Band:33
Seitenbereich:Seiten 741-753
Verlag:ELSEVIER
Status:veröffentlicht
Stichwörter:models of trailing-vortex systems, instability characteristics
HGF - Forschungsbereich:Verkehr und Weltraum (alt)
HGF - Programm:Luftfahrt
HGF - Programmthema:Starrflügler
DLR - Schwerpunkt:Luftfahrt
DLR - Forschungsgebiet:L AR - Starrflüglerforschung
DLR - Teilgebiet (Projekt, Vorhaben):L - Flugphysik
Standort: Göttingen
Institute & Einrichtungen:Institut für Aerodynamik und Strömungstechnik > Hubschrauber
Institut für Aerodynamik und Strömungstechnik > Experimentelle Verfahren
Hinterlegt von: Ilka Micknaus
Hinterlegt am:31 Jan 2006
Letzte Änderung:14 Jan 2010 19:35

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