Generalized polynomial chaos for the convection diffusion equation with uncertainty
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- 作者：Ning Lia ; future_lining@163.com" class="auth_mail" title="E-mail the corresponding author ; Jianping Zhaoa ; b ; zhaojianping@126.com" class="auth_mail" title="E-mail the corresponding author ; Xinlong Fenga ; fxlmath@xju.edu.cn" class="auth_mail" title="E-mail the corresponding author ; Dongwei Guib ; guidwei@163.com" class="auth_mail" title="E-mail the corresponding author
- 关键词：Stochastic convection diffusion equation ; Generalized polynomial chaos ; Fully implicit scheme ; Implicit&ndash ; explicit scheme ; Fourier spectral method ; Monte Carlo method
- 刊名：International Journal of Heat and Mass Transfer
- 出版年：2016
- 出版时间：June 2016
- 年：2016
- 卷：97
- 期：Complete
- 页码：289-300
- 全文大小：939 K
文摘
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The stochastic convection diffusion equation is solved with the generalized PC expansion.
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The Fourier spectral method is employed to spatial discretization.
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The implicit–explicit scheme doesn’t work well for the 2D model problems.
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Generalized PC expansion is efficient compared to the Monte Carlo simulation.