Eventos Anais de eventos
EPTT 2024
14th Spring School on Transition and Turbulence
Development and validation of a linear stability analysis tool for compressible shear flows
Submission Author:
Carlos Alonso Rodrigues , SP , Brazil
Co-Authors:
Carlos Alonso Rodrigues, William Wolf
Presenter: Carlos Alonso Rodrigues
doi://10.26678/ABCM.EPTT2024.EPT24-0030
Abstract
We develop a computational tool to study modal and non-modal linear stability analysis of compressible flows at a range of Mach numbers. For this, the generalized eigenvalue problem is solved by constructing the discrete operator for the linearized Navier-Stokes equations employing fourth-order finite difference schemes. In a first stage, the linear stability solutions are validated by comparing spectra for well-known cases, such as the Poiseuille flow. This is followed by a non-modal study performed via the resolvent analysis. The comparison of the compressible operator at low Mach number for the Poiseuille flow shows great correspondence in both modal and non-modal analysis. The non-normality of the problem investigated is seen in the resolvent analysis and by analyzing only the resonant limit. A validation of the operator is also presented for a compressible boundary layer at Mach numbers 1 and 6. Results are compared in terms of spectra and neutral curves, the latter confirms the presence of the second instability mode arising in compressible flows at high Mach numbers.
Keywords
Linear Stability Analysis, Compressible flow, modal analysis, non-modal analysis
