Adjoint sensitivity analysis of thermo-acoustic/hydrodynamic instabilities in turbulent combustion chambers
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Center for Turbulence Research Proceedings of the Summer Program
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Magri, L., See, Y., Ihme, M., & Juniper, M. Adjoint sensitivity analysis of thermo-acoustic/hydrodynamic instabilities in turbulent combustion chambers. Center for Turbulence Research Proceedings of the Summer Program. https://doi.org/10.17863/CAM.35428
Abstract
In this paper, we de ne a mathematically consistent set of thermo-acoustic equations
via asymptotic multiple scale methods in the low-Mach number limit. The nal thermoacoustic
equations consist of reacting low-Mach number (LMN) equations for hydrodynamic
phenomena and acoustic (AC) equations. The two sets of equations are two-way
coupled. The coupling terms depend on which multiple scales are used. We derive and
discuss the coupling terms for three distinct limits: double-time-double-space (2T-2S);
double-time-single-space (2T-1S); and single-time-double-space (1T-2S). We linearize the
thermo-acoustic equations around the mean
ow, which is obtained by time averaging
Large-Eddy simulations. We show that only 1T-2S provides a two-way coupled linearized
system. In the other limits, the coupling from the AC to the LMN is of higher order.
We perform global direct and adjoint analysis to identify unstable modes and passivefeedback
mechanisms to stabilize/lower the frequency of the oscillation. Preliminary results
are shown for a dual-swirl gas turbine combustor and a simpli ed dump combustor.
Sponsorship
European Research Council (259620)
Identifiers
External DOI: https://doi.org/10.17863/CAM.35428
This record's URL: https://www.repository.cam.ac.uk/handle/1810/288113
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