%0 Journal Article 
%A Glazkov, Anton
%A Fosas de Pando, Miguel Ángel
%A Schmid, Peter J.
%A He, Li
%T Global stability analysis of an idealized compressor blade row. I. Single-blade passage analysis
%D 2023
%@ 2469-990X
%U http://hdl.handle.net/10498/31507
%X A direct-adjoint mean flow global stability investigation of self-excited instabilities in an
idealized, two-dimensional compressor blade row at off-design conditions is carried out,
with a focus on acoustic feedback mechanisms underlying the observed instabilities. This
paper is the first part of this work, where nonlinear flows, impulse responses and the global
modes are computed for a single-passage system, with good agreement between the linear
and nonlinear structures. Structural sensitivities and feedback loops are identified with the
aid of wavemakers and show that dominant structures arise due to feedback mechanisms
linking the pressure and suction sides of the aerofoil via acoustic waves emanating from
the trailing edge. A separate, second part extends this analysis to multiple-blade passages
per period window by exploiting the theory of block-circulant matrices and Bloch-wave
theory.
%~ Universidad de Cádiz