26 May 2011 POD-based reconstruction field of temperature in Navier-Stokes flow
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Proceedings Volume 7997, Fourth International Seminar on Modern Cutting and Measurement Engineering; 79973M (2011) https://doi.org/10.1117/12.888675
Event: Fourth International Seminar on Modern Cutting and Measuring Engineering, 2010, Beijing, China
Abstract
In formulating mathematical models for dynamical systems, the model must be useful for its intended application. In general qualitative correct models are very complex. The model reduction step becomes a crucial step in the development of optimization and estimation techniques for large scale systems. Proper orthogonal decomposition (POD) based techniques have been broadly applied to flow control and optimization problem. POD is based on second-order statistical properties, which result in a set of empirical eigenfunctions (also called spatial modes) from a collection of data. These modes are used in a weighted residual method to obtain a finite dimensional low-order dynamical system which has the smallest degree of freedom possible. In this article, firstly, we extract structural information from large amounts of data obtained from the simulation. Secondly, we design a observer for reconstruction the field. Finally, by a simulation it proves the effectiveness of this kind of simple low-order representation.
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Hongwei Guan, Hongwei Guan, Weihong Zhong, Weihong Zhong, Yingdao Li, Yingdao Li, Xiushui Ma, Xiushui Ma, "POD-based reconstruction field of temperature in Navier-Stokes flow", Proc. SPIE 7997, Fourth International Seminar on Modern Cutting and Measurement Engineering, 79973M (26 May 2011); doi: 10.1117/12.888675; https://doi.org/10.1117/12.888675
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