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Links Between Steepened Mach Waves and Coherent Structures for a Supersonic Jet

Laboratoire de Mécanique des Fluides et d’Acoustique, UMR 5509, F-69134 Ecully, France

*Postdoctoral Fellow; also University of Lyon, Ecole Centrale de Lyon, INSA Lyon, Université Claude Bernard Lyon I, CNRS; .

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Christophe Bogey

Laboratoire de Mécanique des Fluides et d’Acoustique, UMR 5509, F-69134 Ecully, France

†CNRS Research Scientist; also University of Lyon, Ecole Centrale de Lyon, INSA Lyon, Université Claude Bernard Lyon I, CNRS. Senior Member AIAA.

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Published Online:1 Jan 2021https://doi.org/10.2514/1.J059859

Abstract

The links between coherent structures in the shear layer of an isothermal Mach 2 jet and steepened Mach waves just outside the jet are investigated using large-eddy simulation. Conditional averages triggered by the detection of high-intensity pressure peaks on a conical surface near the jet flow are computed. Averages obtained for peaks of different intensities are presented to identify the factors favoring the steepened aspect of the waves, which are not likely due to nonlinear propagation effects given the surface radial position. The Mach waves just outside the jet are shown to be correlated with coherent structures in the supersonic side of the mixing layers. Their steepened aspect is found to increase with their intensity. The variations of the wave properties with the convection speed, strength, and geometrical shape of the mixing layer structures are then discussed. These properties do not depend much on the convection speed but are closely related to the two other parameters. The wave intensity and steepened aspect increase because the shear-layer structures are stronger, but also because they are more inclined relative to the jet direction. In the latter case, the asymmetric shape of the structure appears to promote the formation of positively skewed Mach waves.

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Volume 59, Number 5May 2021

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This work was granted access to the High Performance Computing resources of Pôle de Modélisation et de Calcul en Sciences de l’Ingénieur et de l’Information (PMCS2I) of Ecole Centrale de Lyon, Pôle Scientifique de Modélisation Numérique (PSMN) of École Normale Supérieure (ENS) de Lyon and Pôle de Calcul Hautes Performances Dédiés (P2CHPD) of Université Lyon I, members of Fédération Lyonnaise de Modélisation et Sciences Numériques (FLMSN), partner of Equipement d’excellence (EQUIPEX) EQUIP@MESO, and to the resources of Institut du Développement et des Ressources en Informatique Scientifique (IDRIS) under the allocation 2019-2a0204 made by Grand Equipement National de Calcul Intensif (GENCI). It was performed within the framework of the Laboratoire d’Excellence Centre Lyonnais d’Acoustique (LABEX CeLyA) (ANR-10-LABX-0060) of Université de Lyon, within the program Investissements d’Avenir (ANR-16-IDEX-0005) operated by the French National Research Agency (ANR).

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Received15 June 2020
Accepted9 November 2020
Published online1 January 2021

Links Between Steepened Mach Waves and Coherent Structures for a Supersonic Jet

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