Adjoint methods as design tools in thermoacoustics

L Magri - Applied Mechanics Reviews, 2019 - asmedigitalcollection.asme.org
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 …

Variational optimization and data assimilation in chaotic time-delayed systems with automatic-differentiated shadowing sensitivity

N Chandramoorthy, L Magri, Q Wang - arXiv preprint arXiv:2011.08794, 2020 - arxiv.org
In this computational paper, we perform sensitivity analysis of long-time (or ensemble)
averages in the chaotic regime using the shadowing algorithm. We introduce automatic …

[PDF][PDF] An efficient algorithm for sensitivity analysis of chaotic systems

N Chandramoorthy - 2021 - mit.edu
How does long-term chaotic behavior respond to small parameter perturbations? Using
detailed models, chaotic systems are frequently simulated across disciplines–from climate …