| 基于特征线的变步长网格划分法 |
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| 引用本文： | 杨素娟,宋歌,崔周进,赵宁. 基于特征线的变步长网格划分法[J]. 杭州师范学院学报(自然科学版), 2014, 0(2): 202-207 |
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| 作者姓名： | 杨素娟 宋歌 崔周进 赵宁 |
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| 作者单位： | [1]南京航空航天大学航空宇航学院,江苏南京210007 [2]解放军理工大学理学院,江苏南京211101 [3]江苏海事职业技术学院,江苏南京211170 |
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| 基金项目： | 国家自然科学基金项目（91130030）;解放军理工大学科研基金项目. |
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| 摘 要： | 本文首先讨论了用特征线法求解常系数双曲型偏微分方程的解析解，分析了以特征线法为依据构造的几种经典差分格式并给出了数值计算结果，通过分析误差得到最优网格比，结合特征线法提出了变系数双曲型方程的变步长网格划分的数值解方法及数值计算结果。
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| 关 键 词： | 双曲型方程 特征线 差分格式 变步长 |
Variable Step Size Meshing Method Based on Characteristic Line |
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| YANG Sujuan,SONG Ge,CUI Zhoujin,ZHAO Ning. Variable Step Size Meshing Method Based on Characteristic Line[J]. Journal of Hangzhou Teachers College(Natural Science), 2014, 0(2): 202-207 |
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| Authors: | YANG Sujuan SONG Ge CUI Zhoujin ZHAO Ning |
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| Affiliation: | 1. College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Naniing 210007, China; 2. Institute of Science, PLA University of Science and Technology, Nanjing 211101, China; 3. Jiangsu Maritime Institute, Nanjing 211170, China) |
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| Abstract: | In this paper , the method of using characteristic line to solve constant coefficient hyperbolic differential equation is discussed .Several typical difference schemes constructed with characteristic line method are analyzed and their numerical results are presented . The optimal grid proportion is achieved by analyzing the errors . Combined with characteristic line method , the numerical calculation method for variable step size grid scheme of variable coefficient hyperbolic partial equation and its numerical results . |
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| Keywords: | hyperbolic equation characteristic line difference scheme variable step size |
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