CUED Publications database

Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity

Magri, L and Bauerheim, M and Juniper, MP (2016) Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity. Journal of Computational Physics.

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Abstract

We present an adjoint-based method for the calculation of eigenvalue perturbations in nonlinear, degenerate and non-self-adjoint eigenproblems. This method is applied to a thermo-acoustic annular combustor network, the stability of which is governed by a nonlinear eigenproblem. We calculate the first- and second-order sensitivities of the growth rate and frequency to geometric, flow and flame parameters. Three different configurations are analysed. The benchmark sensitivities are obtained by finite difference, which involves solving the nonlinear eigenproblem at least as many times as the number of parameters. By solving only one adjoint eigenproblem, we obtain the sensitivities to any thermo-acoustic parameter, which match the finite-difference solutions at much lower computational cost.

Item Type: Article
Uncontrolled Keywords: thermo-acoustic stability sensitivity analysis annular combustors adjoint methods
Subjects: UNSPECIFIED
Divisions: Div A > Fluid Mechanics
Div A > Energy
Depositing User: Cron Job
Date Deposited: 17 Jul 2017 19:34
Last Modified: 18 Nov 2017 21:40
DOI: