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| 求解二维浅水波方程的群速度修正法 | |
| 引用本文： | 周超红,姚清河,朱庆勇. 求解二维浅水波方程的群速度修正法[J]. 中山大学学报(自然科学版), 2012, 51(1): 19-24 |
| 作者姓名： | 周超红 姚清河 朱庆勇 |
| 作者单位： | 中山大学应用力学与工程系 |
| 基金项目： | 国家自然科学基金资助项目(11072272) |
| 摘 要： | 研究了利用群速度控制法的思想构造二维浅水波方程高分辨率格式。利用群速度修正的思想，得到了三阶迎风群速度控制格式、四阶群速度控制格式等多种高分辨率格式；通过引入色散度量以及各向异性度量的概念，为评估差分算子对微分算子的逼近程度提供了标准。 |
| 关 键 词： | 高分辨率格式 群速度控制法 2D浅水波方程 |
| 收稿时间： | 2011-11-01; |
The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations |
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| ZHOU Chaohong,YAO Qinghe,ZHU Qingyong. The Modified Finite Difference Schemes with Group Velocity Control for Solving 2D Shallow Water Equations[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2012, 51(1): 19-24 | |
| Authors: | ZHOU Chaohong YAO Qinghe ZHU Qingyong |
| Affiliation: | (Department of Applied Mechanics and Engineering,Sun Yat-sen University,Guangzhou 510275,China) |
| Abstract: | The general method of constructing high-resolution schemes to solve 2D shallow water equations is studied.Using the technique of group velocity control,some high-resolution schemes are obtained,such as three-order upwind group velocity control schemes and four-order group velocity control schemes.Using the dispersion and anisotropy measurement,a criterion to evaluate approximation degree of difference operators to differential operators is obtained. |
| Keywords: | high-resolution schemes group velocity control 2D shallow water equations |
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