A type of high order schemes for steady convection-diffusion problems

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• 作者：Mingtian Xu ^{mingtian@sdu.edu.cn}
• 关键词：Convection-diffusion equation ; Finite volume method ; QUICK scheme
• 刊名：International Journal of Heat and Mass Transfer
• 出版年：2017
• 出版时间：April 2017
• 年：2017
• 卷：107
• 期：Complete
• 页码：1044-1053
• 全文大小：742 K
• 卷排序：107

文摘

A series of high order schemes is developed to solve steady convection diffusion equations. The proposed highest order scheme has almost the same accuracy as the exact solution for source-free problems. The highest order scheme is unconditionally stable. All the high order schemes are more accurate than the QUICK scheme. All the high order schemes are as simple as the FVM based on the central differencing scheme.