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Published June 2, 2017 | Submitted
Conference Paper Open

One Way Navier-Stokes and resolvent analysis for modeling coherent structures in a supersonic turbulent jet

Abstract

A linear analysis of the mean flow of an isothermal ideally-expanded Mach 1.5 turbulent jet is conducted. Optimal response modes describing the fluctuating hydrodynamic and acoustic fields are obtained in a computationally efficient way by spatially marching the linearized One-Way Navier-Stokes equations. For this purpose, an adjoint-based optimization framework is proposed and demonstrated for calculating optimal boundary conditions and optimal volumetric forcing. The optimal modes are validated against modes obtained in terms of global resolvent analysis. Two scenarios are considered in the present analysis. In the first case, no restrictions are applied to the spatial forcing distribution. In the second scenario, the forcing is restricted to the nozzle plane. The resulting optimal and suboptimal modes are compared to spectral proper orthogonal modes obtained from a high-fidelity large eddy simulation. The implications of these observations are discussed in detail.

Additional Information

© 2017 American Institute of Aeronautics and Astronautics. Published Online: 2 Jun 2017. This research was supported in part by a grant from the Office of Naval Research (grant No. N00014-16-1-2445) with Dr. Knox Millsaps as program manager. The LES study was performed at Cascade Technologies, with support from ONR and NAVAIR SBIR project, under the supervision of Dr. John T. Spyropoulos. The main LES calculations were carried out on DoD HPC systems in ERDC DSRC. O.S. was also supported in part by DFG grant No. SCHM 3114/1-1. G.R. and T.C. also acknowledge the support of the Boeing Company through a Strategic Research and Development Relationship Agreement CT-BA-GTA-1.

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August 19, 2023
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October 20, 2023