Abstract
The Kalman filter developed by R. E. Kalman and R. S. Bucy is states estimation theory in the target domain and has been employed in various field of engineering. In general, observation data in any system include observation noise and the computational model include system noise. These noises can be eliminated by using a Kalman filter. The finite element equation is applied to derive the state transition matrix in the system equation of the Kalman filter. As the fundamental study, the estimation of the flow field in open channel is carried out based on the finite element method and the Kalman filter theory. In addition, as the governing equation, the shallow water equations are employed, and the finite element and the selective lumping methods are applied to discretize the governing equations in space and time, respectively. The open channel model is employed in the numerical experiment, and some examinations are carried out by changing the observation variables, number and position of observation points.
Published Version
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