Abstract
Monte Carlo and Active Subspace Identification methods are combined withfirst- and second-order adjoint sensitivities to perform (forward) uncertaintyquantification analysis of the thermo-acoustic stability of two annular combustorconfigurations. This method is applied to evaluate the risk factor, i.e., theprobability for the system to be unstable. It is shown that the adjoint approachreduces the number of nonlinear-eigenproblem calculations by as much as theMonte Carlo samples.