Uncertainty Quantification of Flow and Heat Transfer Problems With Stochastic Boundary Conditions Based on the Intrusive Polynomial Chaos Expansion Method

JIANG Changwei; LIU Xing; SHI Er; LI Taohai; JIANG Yi

doi:10.21656/1000-0887.410217

Volume 42 Issue 5

May 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(5): 481-491

JIANG Changwei, LIU Xing, SHI Er, LI Taohai, JIANG Yi. Uncertainty Quantification of Flow and Heat Transfer Problems With Stochastic Boundary Conditions Based on the Intrusive Polynomial Chaos Expansion Method[J]. Applied Mathematics and Mechanics, 2021, 42(5): 481-491. doi: 10.21656/1000-0887.410217

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Uncertainty Quantification of Flow and Heat Transfer Problems With Stochastic Boundary Conditions Based on the Intrusive Polynomial Chaos Expansion Method

doi: 10.21656/1000-0887.410217

College of Energy and Power Engineering, Changsha University of Science & Technology, Changsha 410114, P.R.China

Funds: The National Natural Science Foundation of China（11572056）

Received Date: 2020-07-22
Rev Recd Date: 2020-10-10
Publish Date: 2021-05-01

Abstract

Abstract

An intrusive polynomial chaos expansion method and a finite element program framework were proposed to quantify the uncertainty of flow and heat transfer problems under stochastic boundary conditions. In this method, the Karhunen-Loeve expansion was used to express the stochastic boundary condition, and the polynomial chaos expansion method was used to express the output random field. At the same time, the control equation was transformed into a set of deterministic equations with the spectral decomposition technology, and each polynomial chaos was solved to obtain the statistical characteristics of the numerical solution. Compared with the Monte Carlo method, this method can accurately and efficiently predict the uncertainty characteristics of flow and heat transfer problems under stochastic boundary conditions, and can save a lot of computing resources.
- uncertainty quantification,
- intrusive polynomial chaos expansion,
- stochastic boundary condition,
- flow and heat transfer,
- stochastic finite element

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References(21)

References

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