A fast and efficient method based on the proper orthogonal decomposition (POD) technique for predicting fluid flow and heat transfer problems is proposed in this paper. POD is first applied to an ensemble of numerical simulation results at design parameters to obtain the empirical coefficients and eigenfunctions, and then the fluid and temperature fields in the range of design parameters are resolved by a linear combination of empirical coefficients and eigenfunctions. The empirical coefficients at off-design parameters are obtained by a cubic spline interpolation method for steady problems and a Galerkin projection method for transient problems. Finally, the efficiency and accuracy of the algorithm are examined by three examples. The POD based algorithm can predict both the velocity and temperature fields in the range of design parameters accurately at a price of a large number of precomputed cases (snapshots). It also brings significant computational time savings for the new cases within the parameter range presimulated compared with the finite volume method with SIMPLE-like algorithm.
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A Fast and Efficient Method for Predicting Fluid Flow and Heat Transfer Problems
Peng Ding,
Peng Ding
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
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Xue-Hong Wu,
Xue-Hong Wu
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
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Ya-Ling He,
Ya-Ling He
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
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Wen-Quan Tao
Wen-Quan Tao
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
e-mail: wqtao@mail.xjtu.edu.cn
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
Search for other works by this author on:
Peng Ding
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
Xue-Hong Wu
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
Ya-Ling He
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. China
Wen-Quan Tao
State Key Laboratory of Multiphase Flow and Heat Transfer, School of Energy and Power Engineering,
Xi’an Jiaotong University
, Shaanxi 710049, P.R. Chinae-mail: wqtao@mail.xjtu.edu.cn
J. Heat Transfer. Mar 2008, 130(3): 032502 (17 pages)
Published Online: March 6, 2008
Article history
Received:
August 31, 2006
Revised:
March 30, 2007
Published:
March 6, 2008
Citation
Ding, P., Wu, X., He, Y., and Tao, W. (March 6, 2008). "A Fast and Efficient Method for Predicting Fluid Flow and Heat Transfer Problems." ASME. J. Heat Transfer. March 2008; 130(3): 032502. https://doi.org/10.1115/1.2804935
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