A comparative study of POD interpolation and POD projection methods for fast and accurate prediction of heat transfer problems

Yi Wang; Bo Yu; Zhizhu Cao; Weizhong Zou; Guojun Yu

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A comparative study of POD interpolation and POD projection methods for fast and accurate prediction of heat transfer problems

机译：POD插值法和POD投影法快速准确地预测传热问题的比较研究

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摘要

Thermal engineering related to industrial applications needs fast and accurate prediction for complex heat transfer problems. Proper orthogonal decomposition (POD) method can achieve this target. In this paper, the performances of POD interpolation and POD projection methods are compared for the purpose of method selection in those applications. The results show that under the same sampling condition, POD interpolation method can simulate the four-variable heat conduction problem quite accurately (maximum relative deviation is smaller than 1 × 10~(-8)%) but losses accuracy for the six-variable heat conduction problem (maximum relative deviation is up to more than 50%); while POD projection method can obtain accurate results for both the problems (maximum relative deviations are only 0.187% and 1.83% respectively). Thus, POD projection method is more robust and adaptive than POD interpolation method for wider ranges of heat transfer problems. Moreover, the conclusion is also suitable for the guidance of applications in the fields of chemical engineering and fluid mechanics etc.

机译：与工业应用相关的热工程需要对复杂的传热问题进行快速而准确的预测。正确的正交分解（POD）方法可以实现此目标。本文比较了POD插值和POD投影方法的性能，以期在这些应用中选择方法。结果表明，在相同采样条件下，POD插值方法可以非常精确地模拟四变量热传导问题（最大相对偏差小于1×10〜（-8）％），但六变量热损失精度高。传导问题（最大相对偏差高达50％以上）；而POD投影方法可以针对这两个问题获得准确的结果（最大相对偏差分别仅为0.187％和1.83％）。因此，对于较宽范围的传热问题，POD投影方法比POD插值方法更健壮和更具适应性。此外，该结论也适用于指导化学工程和流体力学等领域的应用。

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来源
《International Journal of Heat and Mass Transfer》 |2012年第18期|p.4827-4836|共10页
作者
Yi Wang; Bo Yu; Zhizhu Cao; Weizhong Zou; Guojun Yu;
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作者单位

Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, China;

Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, China;

Sinopec Sichuan to Eastern China Gas Transmission Pipeline Company, Wuhan 430077, Hubei, China;

Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, China;

Beijing Key Laboratory of Urban Oil and Cas Distribution Technology, China University of Petroleum, Beijing 102249, China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
proper orthogonal decomposition; interpolation; projection; reduced order model; heat transfer; computational fluid dynamics;

机译：适当的正交分解插值投影降阶模型传热计算流体动力学;

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A comparative study of POD interpolation and POD projection methods for fast and accurate prediction of heat transfer problems

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