State Estimation for Reactive Euler Equation by Kalman Filtering

In this article, we present a state estimation method for an approximately constant volume combustion process. This is an Unscented Kalman Filter used to estimate quantities which are of interest for the combustion process inside the considered combustion tube, i.e., the pressure, velocity and temperature field. This algorithm relies only on a small number of discrete pressure measurements along the combustion tube. The proposed methods are applied in numerical simulations to demonstrate their effectiveness. In a one-dimensional simulator, the flow field in the tube is described by the one-dimensional Euler equations with chemical source terms. To keep the computational effort on a manageable level, the Kalman Filter is built based on a reduced model. Thus, the model reduction for the Euler equations in combination with chemical kinetics is another focus of this contribution.

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    • Copyright © 2017, Deutsches Zentrum für Luft- und Raumfahrt e.V. The contents of this paper reflect the views of the author[s] and do not necessarily reflect the official views or policies of the Transportation Research Board or the National Academy of Sciences.
  • Authors:
    • Schäpel, Jan-Simon
    • Wolff, Sascha
    • Schulze, Philipp
    • Berndt, Phillip
    • Klein, Rupert
    • Mehrmann, Volker
    • King, Rudibert
  • Publication Date: 2017-6

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  • English

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  • Accession Number: 01636342
  • Record Type: Publication
  • Files: TRIS
  • Created Date: May 15 2017 9:13AM