| Difference schemes on non-uniform mesh and their application |
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| 作者姓名： | MA Yanwen GAO Hui FU Dexun LI Xinliang |
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| 作者单位： | Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China,Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China,Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China,Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China |
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| 基金项目： | NKKBRSF，国家自然科学基金，国家高技术研究发展计划(863计划) |
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| 摘 要： | High order accurate schemes are needed to simulate the multi-scale complex flow fields to get fine structures in simulation of the complex flows with large gradient of fluid parameters near the wall, and schemes on non-uniform mesh are desirable for many CFD (computational fluid dynamics) workers. The construction methods of difference approximations and several difference approximations on non-uniform mesh are presented. The accuracy of the methods and the influence of stretch ratio of the neighbor mesh increment on accuracy are discussed. Some comments on these methods are given, and comparison of the accuracy of the results obtained by schemes based on both non-uniform mesh and coordinate transformation is made, and some numerical examples with non-uniform mesh are presented.
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| 关 键 词： | scheme on non-uniform mesh high order accurate scheme compact difference approximation |
Difference schemes on non-uniform mesh and their application |
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| MA Yanwen,GAO Hui,FU Dexun,LI Xinliang.Difference schemes on non-uniform mesh and their application[J].Progress in Natural Science,2004,14(10):848-854. |
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| Authors: | MA Yanwen GAO Hui FU Dexun LI Xinliang |
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| Institution: | Laboratory of Nonlinear Mechanics, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100080, China |
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| Abstract: | High order accurate schemes are needed to simulate the multi-scale complex flow fields to get fine structures in simulation of the complex flows with large gradient of fluid parameters near the wall, and schemes on non-uniform mesh are desirable for many CFD (computational fluid dynamics) workers. The construction methods of difference approximations and several difference approximations on non-uniform mesh are presented. The accuracy of the methods and the influence of stretch ratio of the neighbor mesh increment on accuracy are discussed. Some comments on these methods are given, and comparison of the accuracy of the results obtained by schemes based on both non-uniform mesh and coordinate transformation is made, and some numerical examples with non-uniform mesh are presented. |
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| Keywords: | scheme on non-uniform mesh high order accurate scheme compact difference approximation |
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