| 基于第二粘性用局部微分求积法计算激波 |
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| 引用本文： | 赵勇,宗智,李章锐.基于第二粘性用局部微分求积法计算激波[J].应用数学和力学,2011,32(3):333-343. |
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| 作者姓名： | 赵勇 宗智 李章锐 |
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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,运载工程与力学学部 船舶工程学院, 辽宁 大连 116024 |
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| 基金项目： | 创新研究群体基金，国家973计划资助项目 |
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| 摘 要： | 考虑第二粘性效应，采用局部微分求积法数值求解激波问题．首先解释了在激波计算时，有必要考虑第二粘性，然后基于粘性模型，对一维和二维激波进行了数值模拟，还分别考察了剪切粘性力和第二粘性力对数值结果的影响．结果表明，采用粘性模型加上局部微分求积法能够模拟出激波特征，具有客观、简单的优点．
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| 关 键 词： | 激波 第二粘性 Stokes假定 局部微分求积法 人工粘性 |
| 收稿时间： | 2010-05-18 |
Shock Calculation Based on Second Viscosity Using Localized Differential Quadrature Method |
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| ZHAO Yong,ZONG Zhi,LI Zhang-run.Shock Calculation Based on Second Viscosity Using Localized Differential Quadrature Method[J].Applied Mathematics and Mechanics,2011,32(3):333-343. |
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| Authors: | ZHAO Yong ZONG Zhi LI Zhang-run |
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| Institution: | School of Naval Architecture, Faculty of Vehicle Engineering and Mechanics, State Key Laboratory of Structural Analysis For Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P. R. China |
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| Abstract: | Based on the second viscosity,localized differential quadrature (LDQ) method was applied to solve shock tube problems.Firstly,the necessity was explained to consider the second viscosity to calculate shocks,then shock tubes based on the viscosity model were simulated,and finally,the roles of shear viscous stress and the second viscous stress were checked.The results show that the viscosity model combined with LDQ method can capture the main characters of shock and have the advantages of objectivity and simplicity. |
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