| 水波位移法中正定势能的影响 |
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| 引用本文： | 吴锋,钟万勰. 水波位移法中正定势能的影响[J]. 计算机辅助工程, 2016, 25(6): 1-6 |
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| 作者姓名： | 吴锋 钟万勰 |
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| 作者单位： | 大连理工大学 工业装备结构分析国家重点实验室;大连理工大学 工业装备结构分析国家重点实验室 |
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| 基金项目： | 国家自然科学基金（11411472067, 51609034）；中国博士后科学基金(2016M590219) |
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| 摘 要： | 研究水波位移法中势能的正定性问题.将水的不可压缩条件用于重力势能，得到具有正定性的势能；通过数值算例比较水波正定势能和非正定势能对计算结果的影响.由数值实验结果可知：对于非正定势能，数值离散后容易出现负的特征值，而取正定势能时则不会.负的特征值意味着数值发散，结果不符合物理实际，应当避免.
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| 关 键 词： | 水波位移法； 不可压缩条件； 正定势能 |
| 收稿时间： | 2016-09-24 |
| 修稿时间： | 2016-10-09 |
Effect of positive definite potential energy in water wave displacement method |
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| WU Feng and ZHONG Wanxie. Effect of positive definite potential energy in water wave displacement method[J]. Computer Aided Engineering, 2016, 25(6): 1-6 |
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| Authors: | WU Feng and ZHONG Wanxie |
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| Affiliation: | State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology;State Key Laboratory of Structural Analysis of Industrial Equipment, Dalian University of Technology |
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| Abstract: | The positive definite property of the potential energy in water wave displacement method is studied. The water incompressible condition is substituted to the gravitational potential energy to produce positive definite potential energy. Some numerical tests are used to investigate the effect of positive and non positive definite energy on calculation results. The numerical test results show that, the non positive definite potential energy may results in negative eigenvalues which violate the physical law. However, the positive definite potential energy can exclude the negative eigenvalues. |
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| Keywords: | water wave displacement method incompressible condition positive definite potential energy |
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