| THREE HIGH-ORDER SPLITTING SCHEMES FOR 3D TRANSPORT EQUATION |
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| 作者姓名： | WANG Shou-dong |
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| 作者单位： | State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology，State Key Laboratory of Coastal and Offshore Engineering，Dalian University of Technology Dalian 116023，P.R.China，Dalian 116023，P.R.China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No. 10332050）, the Natural Science Foundation of Liaoning Province of China （ No. 20042153 ） and the Natural Science Foundation of Guangdong Province of China （No. 021503） |
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| 摘 要： | IntroductionWith the development of modern industry, various pollutants discharge into the air,rivers, lakes and oceans, which makes the environmental qualities worse and has bad effectson the mankind’s health and the sustained development of industry an…
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| 关 键 词： | 水平对流方程 扩散方程 数字模型 水文学 |
| 文章编号： | 0253-4827（2005）08-1007-10 |
| 收稿时间： | 2004-04-13 |
| 修稿时间： | 2005-03-29 |
Three high-order splitting schemes for 3D transport equation |
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| Wang Shou-dong,Shen Yong-ming.THREE HIGH-ORDER SPLITTING SCHEMES FOR 3D TRANSPORT EQUATION[J].Applied Mathematics and Mechanics(English Edition),2005,26(8):1007-1016. |
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| Authors: | Wang Shou-dong Shen Yong-ming |
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| Institution: | State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, P. R. China |
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| Abstract: | Two high-order splitting schemes based on the idea of the operators splitting method are given. The three-dimensional advection-diffusion equation was split into several one-dimensional equations that were solved by these two schemes, only three computational grid points were needed in each direction but the accuracy reaches the spatial fourth-order. The third scheme proposed is based on the classical ADI scheme and the accuracy of the advection term of it can reach the spatial fourth-order. Finally, two typical numerical experiments show that the solutions of these three schemes compare well with that given by the analytical solution when the Peclet number is not bigger than 5. |
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| Keywords: | 3D advection and diffusion equation operator splitting method high-order scheme numerical modeling |
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