Abstract
Numerical investigations of the unsteady flow field and the associated instability wave due to the non-ideal expansion supersonic jet were performed numerically. The axisymmetric Euler equations were solved by a proposed finite volume method. The numerical method is based on a third-order upwind finite-volume scheme in space and a second-order explicit Runge-Kutta scheme in time. Details of the flow structures, such as shock cell, shear layer, and the corresponding instability waves with different jet pressure ratios were investigated. The predicted time-averaged pressure field at the jet centerline was compared with the experimental and other numerical data. By using the spectrum analysis and the correlation method, three families of instability waves, Kelvin-Helmholtz, supersonic and subsonic instability waves, proposed by Tarn are analyzed. Two families of instability waves, Kelvin-Helmholtz and subsonic, can be identified in this study.
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