Repository: Freie Universität Berlin, Math Department

State estimation for homogeneous 1-D Euler Equation by Unscented Kalman Filtering

Wolff, S. and Schäpel, J.S. and Berndt, P. and King, R. (2015) State estimation for homogeneous 1-D Euler Equation by Unscented Kalman Filtering. In: ASME 2015 Dynamic Systems and Control Conference 2., 28.-30. Oktober 2015, Columbus, Ohio. (Submitted)

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In this article we present a dynamic state estimation method for a one dimensional flow field which is described by the homogeneous Euler equation. The estimated quantities include the pressure, velocity, density and temperature field, which are of interest, for instance, for some combustion concepts. The algorithm relies only on a small number of discrete pressure measurements from the flow field. The influence of the number of used pressure measurements on the convergence speed of the algorithm is investigated. For the state estimation, an Unscented Kalman Filter scheme is exploited. The proposed method is applied in numerical simulations to demonstrate its effectiveness.

Item Type:Conference or Workshop Item (Paper)
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:1933
Deposited By: Ulrike Eickers
Deposited On:09 Aug 2016 14:17
Last Modified:10 Aug 2016 08:49

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