Large Eddy Simulation of Supersonic Jet Noise from a Circular Nozzle.pdf

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Large Eddy Simulation of Supersonic Jet Noise from a Circular Nozzle.pdf

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Large Eddy Simulation of Supersonic Jet Noise from a Circular Nozzle

aeroacoustics volume 10 · number 4 · 2011– pages 465 – 474 465 Large eddy simulation of supersonic jet noise from a circular nozzle J. H. Gao and X. D. Li School of Jet Propulsion Beihang University, Beijing, 100191, P. R. China E-mail: lixd@buaa.edu.cn ABSTRACT An imperfectly expanded supersonic jet is simulated with large eddy simulation (LES) method. The full 3D filtered Navier-Stokes equations in cylindrical coordinates coupled with the standard Smagorinsky model are solved by a computational aeroacoustic method. The Dispersion- Relation-Preserving scheme is used for spatial discretization and the low dissipation low dispersion Runge-Kutta method in 2N storage form is utilized for time marching. A high order explicit spatial filter is applied to remove the grid oscillations. An adaptive artificial selective damping is used for shock capturing. The supersonic jet with Mach number 1.19 is simulated. The simultaneous and time average flow field is analyzed. The near filed noise spectra are presented and compared with the experimental data of Ponton et al. and with the numerical results of the present authors by unsteady Reynolds averaged Navier-Stokes (URANS) method. It is shown that the numerical results by LES method agree better with the experimental data than the results by URANS method. 1. INTRODUCTION For the imperfectly expanded supersonic jets, there are three basic components of jet noise: the turbulent mixing noise, the broadband shock-associated noise and the screech tones. The characteristics of these three components are different from each other. During the past ten years, numerical simulations of jet noise have advanced significantly. Different levels of numerical approaches have been developed via Unsteady Reynolds Averaged Navier Stokes (URANS), Large Eddy Simulation (LES) and Direct Numerical Simulation (DNS). For example, Shen Tam [1, 2], Li Gao [3, 4] simulated the supersonic jet screech tones numerically by solving the URANS coupled with k ?