Real-time thermoacoustic data assimilation

  title={Real-time thermoacoustic data assimilation},
  author={A. N{\'o}voa and Luca Magri},
  journal={Journal of Fluid Mechanics},
Abstract Low-order thermoacoustic models are qualitatively correct, but typically, they are quantitatively inaccurate. We propose a time-domain bias-aware method to make qualitatively low-order models quantitatively (more) accurate. First, we develop a Bayesian ensemble data assimilation method for a low-order model to self-adapt and self-correct any time that reference data become available. Second, we apply the methodology to infer the thermoacoustic states and heat-release parameters on the… 



Data assimilation in a nonlinear time-delayed dynamical system

This work numerically estimates the most likely nonlinear state of a Galerkin-discretized time delayed model of a horizontal Rijke tube, which is a prototypical combustor and represents the first application of data assimilation to nonlinear thermoacoustics.

Nonlinear Time Series Analysis

  • James A. Stewart
  • Computer Science
  • 1995
This thesis applies neural network feature selection techniques to multivariate time series data to improve prediction of a target time series and results indicate that the Stochastics and RSI indicators result in better prediction results than the moving averages.

Short- and long-term predictions of chaotic flows and extreme events: a physics-constrained reservoir computing approach

We propose a physics-constrained machine learning method—based on reservoir computing—to time-accurately predict extreme events and long-term velocity statistics in a model of chaotic flow. The

Gradient-free optimization of chaotic acoustics with reservoir computing

A versatile optimization method is developed, which finds the design parameters that minimize time-averaged acoustic cost functionals, and overcomes the three aforementioned challenges of gradient-free, model-informed, and data-driven with reservoir computing based on echo state networks.

Degenerate perturbation theory in thermoacoustics: high-order sensitivities and exceptional points

Abstract In this study, we connect concepts that have been recently developed in thermoacoustics, specifically (i) high-order spectral perturbation theory, (ii) symmetry-induced degenerate

Complex system approach to investigate and mitigate thermoacoustic instability in turbulent combustors

Thermoacoustic instability in turbulent combustors is a nonlinear phenomenon resulting from the interaction between acoustics, hydrodynamics, and the unsteady flame. Over the years, there have been

Intermittency route to self-excited chaotic thermoacoustic oscillations

In nonlinear dynamics, there are three classic routes to chaos, namely the period-doubling route, the Ruelle–Takens–Newhouse route and the intermittency route. The first two routes have previously

Assimilation of Experimental Data to Create a Quantitatively Accurate Reduced-Order Thermoacoustic Model

We combine a thermoacoustic experiment with a thermoacoustic reduced order model using Bayesian inference to accurately learn the parameters of the model, rendering it predictive. The experiment is