Application of receptivity and sensitivity analysis to thermoacoustic instability
VKI Lecture Series, Progress in flow instability analysis and laminar-turbulent transition modeling
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Juniper, M., & Magri, L. Application of receptivity and sensitivity analysis to thermoacoustic instability. VKI Lecture Series, Progress in flow instability analysis and laminar-turbulent transition modeling. https://doi.org/10.17863/CAM.35416
Receptivity and sensitivity analysis is a branch of linear stability analysis. In stability analysis, one typically calculates a linear system’s eigenmodes. These encapsulate the frequency, growth rate, and mode shape of each natural mode of the system. Receptivity analysis then quantifies the receptivity of each mode to external (open loop) forcing. Sensitivity analysis quantifies the sensitivity of each mode either to internal feedback, which is known as the structural sensitivity, or to changes in the base state, which is known as the base state sensitivity. Sensitivity analysis can be performed by finite difference - e.g. by computing the system’s eigenvalues at two slightly different base states and then calculating the gradient with respect to the change between the two states - but this is computationally expensive and prone to numerical error. A more efficient and more accurate method is to use adjoint equations, which is the subject of this lecture.
European Research Council (259620)
External DOI: https://doi.org/10.17863/CAM.35416
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288101