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Transition scenario in hypersonic axisymmetrical compression ramp flow

Published online by Cambridge University Press:  17 November 2020

Mathieu Lugrin Open the ORCID record for Mathieu Lugrin [Opens in a new window] ,
Samir Beneddine Open the ORCID record for Samir Beneddine [Opens in a new window] ,
Colin Leclercq ,
Eric Garnier  and
Reynald Bur
Mathieu Lugrin*
Affiliation:
DAAA, ONERA, Paris Saclay University, F-92190Meudon, France
Samir Beneddine
Affiliation:
DAAA, ONERA, Paris Saclay University, F-92190Meudon, France
Colin Leclercq
Affiliation:
DAAA, ONERA, Paris Saclay University, F-92190Meudon, France
Eric Garnier
Affiliation:
DAAA, ONERA, Paris Saclay University, F-92190Meudon, France
Reynald Bur
Affiliation:
DAAA, ONERA, Paris Saclay University, F-92190Meudon, France
*
†Email address for correspondence: [email protected]
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Abstract

A high-fidelity simulation of the shock/transitional boundary layer interaction caused by a $15^\circ$ axisymmetrical compression ramp is performed at a free stream Mach number of 5 and a transitional Reynolds number. The inlet of the computational domain is perturbed with a white noise in order to excite convective instabilities. Coherent structures are extracted using spectral proper orthogonal decomposition (SPOD), which gives a mathematically optimal decomposition of spatio-temporally correlated structures within the flow. The mean flow is used to perform a resolvent analysis in order to study non-normal linear amplification mechanisms. The comparison between the resolvent analysis and the SPOD results provides insight on both the linear and nonlinear mechanisms at play in the flow. To carry out the analysis, the flow is separated into three main regions of interest: the attached boundary layer, the mixing layer and the reattachment region. The observed transition process is dependent on the linear amplification of oblique modes in the boundary layer over a broad range of frequencies. These modes interact nonlinearly to create elongated streamwise structures which are then amplified by a linear mechanism in the rest of the domain until they break down in the reattachment region. The early nonlinear interaction is found to be essential for the transition process.

JFM classification

Instability: Transition to turbulence Aerodynamics: High-speed flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 907 , 25 January 2021 , A6
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Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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