OATAO - Open Archive Toulouse Archive Ouverte Open Access Week

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

Magri, Luca and Bauerheim, Michaël and Juniper, Matthew P. Stability analysis of thermo-acoustic nonlinear eigenproblems in annular combustors. Part I. Sensitivity. (2016) Journal of Computational Physics, 325. 395-410. ISSN 0021-9991

[img]
Preview
(Document in English)

PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
1MB

Official URL: http://doi.org/10.1016/j.jcp.2016.07.032

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
HAL Id:hal-02116091
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Other partners > University of Cambridge (UNITED KINGDOM)
Other partners > Stanford University (USA)
Other partners > Eidgenössische Technische Hochschule Zürich - ETHZ (SWITZERLAND)
Laboratory name:
Statistics:download
Deposited On:30 Apr 2019 14:42

Repository Staff Only: item control page