POD-based reconstruction field of temperature in Navier-Stokes flow

Hongwei Guan; Weihong Zhong; Yingdao Li; Xiushui Ma

doi:10.1117/12.888675

26 May 2011 POD-based reconstruction field of temperature in Navier-Stokes flow

Hongwei Guan, Weihong Zhong, Yingdao Li, Xiushui Ma

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.

Citation Download Citation

Hongwei Guan, Weihong Zhong, Yingdao Li, and 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); https://doi.org/10.1117/12.888675

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