Global stability analysis of an idealized compressor blade row. II. Multiple-blade interactions

Anton Glazkov, Miguel Fosas De Pando, Peter J. Schmid*, Li He

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


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. In this second part of the paper, the single-passage analysis is extended to multiblade passages by exploiting the properties of block-circulant matrices and Bloch-wave theory. By using this method, analyses for a large number of blade passages become computationally tangible, and the modal and nonmodal single-passage analysis from the first part of the paper can be augmented by considering multiblade effects arising in larger systems. This work shows that multiblade passages introduce additional unstable 10- and five-periodic synchronization structures arising from a tuned optimal phase relationship that is supported by the larger system. Self-excited low-frequency structures, which cannot be represented within a single-passage computation, are also uncovered and analyzed.

Original languageEnglish (US)
Article number103904
JournalPhysical Review Fluids
Issue number10
StatePublished - Oct 2023

Bibliographical note

Publisher Copyright:
© 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the ""Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by King Abdullah University of Science and Technology.

ASJC Scopus subject areas

  • Computational Mechanics
  • Modeling and Simulation
  • Fluid Flow and Transfer Processes


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