Nine decades of rocket engine and gas turbine development have shown that
thermoacoustic oscillations are difficult to predict but can usually be eliminated with …

Since its birth in the 1920s, quantum mechanics has motivated and advanced the analysis of
linear operators. In this effort, it significantly contributed to the development of sophisticated …

In a thermoacoustic system, such as a flame in a combustor, heat release oscillations couple
with acoustic pressure oscillations. If the heat release is sufficiently in phase with the …

Thermoacoustic instabilities are often calculated with Helmholtz solvers combined with a low-
order model for the flame dynamics. Typically, such a formulation leads to an eigenvalue …

We perform 7000 experiments at 175 stable operating points on an electrically-heated Rijke
tube. We pulse the flow and measure the acoustic response with eight probe microphones …

Many gas turbine and rocket engines exhibit unwanted combustion instability at the
experimental testing phase. Instability leads to large amplitude pressure oscillations and …

Exceptional points are found in the spectrum of a prototypical thermoacoustic system as the
parameters of the flame transfer function are varied. At these points, two eigenvalues and …

Abstract Monte Carlo and Active Subspace Identification methods are combined with first-
and second-order adjoint sensitivities to perform (forward) uncertainty quantification analysis …

Gas turbines and rocket engines sometimes suffer from violent oscillations caused by
feedback between acoustic waves and flames in the combustion chamber. These are known …

Gas-turbine combustion chambers typically consist of nominally identical sectors arranged
in a rotationally symmetric pattern. However, in practice, the geometry is not perfectly …