## Abstract In this article we analyze a finite element method for threeβdimensional unsteady compressible NavierβStokes equations. We prove the existence and uniqueness of the numerical solution, and obtain __a priori__ error estimates uniform in time. Numerical computations are carried out to tes
A non-linear observer for unsteady three-dimensional flows
β Scribed by M. Buffoni; S. Camarri; A. Iollo; E. Lombardi; M.V. Salvetti
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 962 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0021-9991
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β¦ Synopsis
A method is proposed to estimate the velocity field of an unsteady flow using a limited number of flow measurements. The method is based on a non-linear low-dimensional model of the flow and on an expansion of the velocity field in terms of empirical basis functions. The main idea is to impose that the coefficients of the modal expansion of the velocity field gives the best approximation of the available measurements, while at the same time satisfying the non-linear low-order model as closely as possible. Practical applications may range from feedback flow control to the monitoring of the flow in non-accessible regions. The proposed technique is applied to the flow around a confined square cylinder, both in two-and three-dimensional flow regimes. Comparisons are provided with existing linear and non-linear estimation techniques.
π SIMILAR VOLUMES
A numerical method is presented for the computation of unsteady, three-dimensional potential Β―ows in hydraulic pumps and turbines. The superelement method has been extended in order to eliminate slave degrees of freedom not only from the governing Laplace equation, but also from the Kutta conditions