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Dimension-adaptive algorithm-based PCE for models with many model parameters

Yangtian Li (Department of Mechanics, College of Science, Inner Mongolia University of Technology, Hohhot, China)
Haibin Li (Department of Mechanics, College of Science, Inner Mongolia University of Technology, Hohhot, China)
Guangmei Wei (Department of Mechanics, College of Science, Inner Mongolia University of Technology, Hohhot, China)

Engineering Computations

ISSN: 0264-4401

Article publication date: 3 September 2019

Issue publication date: 5 March 2020

Abstract

Purpose

To present the models with many model parameters by polynomial chaos expansion (PCE), and improve the accuracy, this paper aims to present dimension-adaptive algorithm-based PCE technique and verify the feasibility of the proposed method through taking solid rocket motor ignition under low temperature as an example.

Design/methodology/approach

The main approaches of this work are as follows: presenting a two-step dimension-adaptive algorithm; through computing the PCE coefficients using dimension-adaptive algorithm, improving the accuracy of PCE surrogate model obtained; and applying the proposed method to uncertainty quantification (UQ) of solid rocket motor ignition under low temperature to verify the feasibility of the proposed method.

Findings

The result indicates that by means of comparing with some conventional non-invasive method, the proposed method is able to raise the computational accuracy significantly on condition of meeting the efficiency requirement.

Originality/value

This paper proposes an approach in which the optimal non-uniform grid that can avoid the issue of overfitting or underfitting is obtained.

Keywords

Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant No.11262014.

Citation

Li, Y., Li, H. and Wei, G. (2020), "Dimension-adaptive algorithm-based PCE for models with many model parameters", Engineering Computations, Vol. 37 No. 2, pp. 522-545. https://doi.org/10.1108/EC-12-2018-0595

Publisher

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Emerald Publishing Limited

Copyright © 2019, Emerald Publishing Limited