| A Parallel Algorithm for the Convection Diffusion Problem |
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| 作者姓名： | 刘晓遇 赵凯 陆金甫 |
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| 作者单位： | DepartmentofMathematicalSciences,TsinghuaUniversity,Beijing100084,China |
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| 基金项目： | the National Natural Science Foundation of China (Nos. 69973008 and 10176023) |
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| 摘 要： | Based on the second-order compact upwind scheme, a group explicit method for solving the two-dimensional time-independent convection-dominated diffusion problem is developed. The stability of the group explicit method is proven strictly. The method has second-order accuracy and good stability. This explicit scheme can be used to solve all Reynolds number convection-dominated diffusion problems. A numerical test using a parallel computer shows high efficiency. The numerical results conform closely to the analytic solution.
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| 关 键 词： | 四边形对流扩散方程 并行算法 逆风方案 群扩张方案 稳定性分析 |
A Parallel Algorithm for the Convection Diffusion Problem |
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| LIU Xiaoyu,ZHAO Kai,LU Jinfu.A Parallel Algorithm for the Convection Diffusion Problem[J].Tsinghua Science and Technology,2004,9(4):468-471. |
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| Authors: | LIU Xiaoyu ZHAO Kai LU Jinfu |
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| Institution: | LIU Xiaoyu,ZHAO Kai,LU Jinfu Department of Mathematical Sciences,Tsinghua University,Beijing 100084,China |
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| Abstract: | Based on the second-order compact upwind scheme, a group explicit method for solving the two-dimensional time-independent convection-dominated diffusion problem is developed. The stability of the group explicit method is proven strictly. The method has second-order accuracy and good stability. This explicit scheme can be used to solve all Reynolds number convection-dominated diffusion problems. A numerical test using a parallel computer shows high efficiency. The numerical results conform closely to the analytic solution. |
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| Keywords: | quad convection diffusion equation upwind scheme group explicit scheme |
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