Repository: Freie Universität Berlin, Math Department

State estimation for reactive Euler equation by Kalman Filtering

Schäpel, J.S. and Wolff, S. and Schulze, P. and Berndt, P. and Klein, R. and Mehrmann, V. and King, R. (2017) State estimation for reactive Euler equation by Kalman Filtering. CEAS Aeronautical Journal, 1 (10). pp. 261-270. ISSN 1869-5582

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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.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:2019
Deposited By: Ulrike Eickers
Deposited On:01 Feb 2017 14:46
Last Modified:19 Mar 2019 12:58

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