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Global stability of swept flow around a parabolic body: features of the global spectrum

Published online by Cambridge University Press:  14 January 2011

CHRISTOPH J. MACK  and
PETER J. SCHMID
CHRISTOPH J. MACK*
Affiliation:
Laboratoire d'Hydrodynamique (LadHyX), CNRS-École Polytechnique, F-91128 Palaiseau, France Department of Numerical Mathematics, Universität der Bundeswehr (UniBw), D-85577 Munich, Germany
PETER J. SCHMID
Affiliation:
Laboratoire d'Hydrodynamique (LadHyX), CNRS-École Polytechnique, F-91128 Palaiseau, France
*
†Email address for correspondence: christoph.mack@mytum.de
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Abstract

The global temporal stability of three-dimensional compressible flow about a yawed parabolic body of infinite span is investigated using an iterative eigenvalue technique in combination with direct numerical simulations. The computed global spectrum provides a comprehensive picture of the temporal perturbation dynamics of the flow, and a wide and rich variety of modes has been uncovered for the investigated parameter choices: stable and unstable boundary-layer modes, different types of stable and unstable acoustic modes, and stable wavepacket modes have been found. A parameter study varying the spanwise perturbation wavenumber and the sweep Reynolds number reproduced a preferred spanwise length scale and a critical Reynolds number for a boundary-layer or acoustic instability. Convex leading-edge curvature has been found to have a strongly stabilizing effect on boundary-layer modes but only a weakly stabilizing effect on acoustic modes. Furthermore, for certain parameter choices, the acoustic modes have been found to dominate the boundary-layer modes.

JFM classification

Compressible Flows: Compressible boundary layers

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Papers
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Journal of Fluid Mechanics , Volume 669 , 25 February 2011 , pp. 375 - 396
Copyright
Copyright © Cambridge University Press 2011

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