| 基于FD/MLSFD的混合算法计算
二维浅水方程 |
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| 引用本文： | 陈善群,廖斌,李海峰.基于FD/MLSFD的混合算法计算
二维浅水方程[J].水利水电技术,2012,43(3):26-29. |
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| 作者姓名： | 陈善群 廖斌 李海峰 |
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| 作者单位： | (1.安徽工程大学建筑工程学院，安徽芜湖241000;
2.中广核风力发电有限公司华南分公司，广东深圳518031) |
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| 基金项目： | 国家自然科学基金，安徽高教省级科学研究项目基金 |
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| 摘 要： | 将基于最小二乘法的无网格有限差分方法(MLSFD方法)和传统有限差分方法(FDM)相结
合，生成了一种混合算法。研究并解决了差分网格/无网格混合算法的藕合问题，将混合算法运用于
求解二维浅水方程，通过计算高雷诺数(Re =105)条件下的圆柱绕流模型揭示了该混合算法在进行二
维浅水模型的数值模拟方面具有较高的精确度。
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| 关 键 词： | 二维浅水方程 无网格方法 MLSFD方法 有限差分方法 圆柱绕流 |
| 收稿时间： | 2011-06-24 |
FDM/MLSFD hybrid algorithm based calculation on 2-D shallow water equations |
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| CHEN Shanqun
,
LIAO Bin
,
LI Haifeng.FDM/MLSFD hybrid algorithm based calculation on 2-D shallow water equations[J].Water Resources and Hydropower Engineering,2012,43(3):26-29. |
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| Authors: | CHEN Shanqun LIAO Bin LI Haifeng |
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| Affiliation: | (1. College of Architecture and Civil Engineering, Anhui Polytechnic University, Wuhu 241000，Anhui, China;
2. South China Branch of China Guangdong Nuclear Wind Power Co.，Ltd.，Shenzhen 518031，Guangdong, China) |
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| Abstract: | Based on the combination between the mesh-free least square-based finite difference(MLSFD)method and the conventional finite difference method(FDM),a hybrid algorithm is created herein,and then the problems from the coupling of both the different algorithms for the hybrid algorithm concerned are studied and solved.Furthermore,the hybrid algorithm is applied to the calculation of the 2-D shallow water equations.Through the numerical simulation of the flow around circular cylinder with a high Reynolds number(Re=105),the hybrid algorithm is demonstrated to have a high accuracy for the numerical simulation made on the 2-D shallow water equations. |
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| Keywords: | 2D shallow water equation meshfree method meshfree least square-based finite difference method finite difference method flow around circular cylinder |
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