Abstract
Local linear stability is often invoked in computational aeroacoustics to predict Mach wave radiation or to prescribe inflow conditions in order to drive turbulent transition in large-eddy simulations. In this work, the governing equations are reformulated for the nonoscillatory part of eigenfunctions. Boundary conditions can thus be explicitly enforced and, moreover, the numerical cost is drastically reduced regardless of the method chosen to solve this problem. An efficient method based on a matrix formulation is proposed in this study. One single, small collocation domain is used, even for computing the stability of supersonic flows. Vortical and acoustic instability waves of supersonic plane jets are briefly revisited to demonstrate the efficiency of this new approach.
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