| 波动数值模拟的稳定性 |
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| 引用本文： | 廖振鹏,谢志南. 波动数值模拟的稳定性[J]. 哈尔滨工程大学学报, 2011, 32(9): 1254-1261. DOI: 10.3969/j.issn.1007-7043.2011.09.028 |
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| 作者姓名： | 廖振鹏 谢志南 |
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| 作者单位： | 1. 中国地震局工程力学研究所,黑龙江哈尔滨150080;哈尔滨工程大学船舶学院,黑龙江哈尔滨150001
2. 中国地震局工程力学研究所,黑龙江哈尔滨,150080 |
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| 基金项目： | 国家自然科学基金资助项目(51078337,51108431); 中国地震局工程力学研究所基本科研业务费专项基金资助项目(011800210) |
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| 摘 要： | 依据数值解收敛方式的不同首先将Lax稳定性区分为强稳定性和弱稳定性,进而将稳定性分析方法归纳为强和弱2种方法,并指出两者的关系.对前者回顾了谱分析和正则模态分析研究工作的主要进展,评论了在这一领域中Godunov和Ryabenkii的原创性工作以揭示其对局部稳定性研究的价值.初步论证了有界面弹性杆中波动数值模拟的经验稳...
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| 关 键 词： | Lax稳定性 von Neumann分析 谱分析 正则模态分析 GKS定理 局部稳定性 |
Stability of numerical simulation of wave motion |
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| LIAO Zhenpeng,XIE Zhinan. Stability of numerical simulation of wave motion[J]. Journal of Harbin Engineering University, 2011, 32(9): 1254-1261. DOI: 10.3969/j.issn.1007-7043.2011.09.028 |
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| Authors: | LIAO Zhenpeng XIE Zhinan |
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| Affiliation: | LIAO Zhenpeng1,2,XIE Zhinan1(1.Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China,2.College of Shipbuilding Engineering,Harbin Engineering University,Harbin 150001,China) |
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| Abstract: | Lax-stability is first differentiated into the strong and weak categories according to different manners of convergence,techniques of the stability analysis are then classified into the strong and weak stability analysis and relationship between the two techniques is pointed out.For the former,important advances in the spectral analysis and the normal mode analysis are reviewed first,and comments on the original work by Godunov and Ryabenkii in this field are then made to reveal its value for studying the l... |
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| Keywords: | Lax-stability von Neumann analysis spectral analysis normal mode analysis GKS theorem local stability |
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