| 气体动力学燃烧模型的广义Riemann问题 |
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| 引用本文： | 刘玉锦,盛万成.气体动力学燃烧模型的广义Riemann问题[J].应用数学和力学,2011,32(8). |
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| 作者姓名： | 刘玉锦 盛万成 |
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| 作者单位： | 1. 上海大学数学系,上海200444;山东理工大学理学院,山东淄博255049
2. 上海大学数学系,上海,200444 |
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| 基金项目： | 国家自然科学基金资助项目(10971130); 上海市教委重点学科资助项目(J50101),上海市教委创新基金重点资助项目(11ZZ84) |
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| 摘 要： | 考察了在(x,t)平面上原点(t>0)的邻域内气体动力学燃烧模型的广义Riemann问题.在改进的熵条件下构造了此问题的唯一解.它们是自相似ZND燃烧模型的极限.发现对某些情形,广义Riemann问题的解与相应的Riemann问题的解有本质的不同.特别地,扰动会使得相应Rie-mann问题的强爆轰波转化为由预压激波点燃的弱爆燃波.在一些情形,尽管相应的Riemann解中不含燃烧波,扰动后燃烧波会出现.这反映了未燃气体的不稳定性.
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| 关 键 词： | 广义Riemann问题 熵条件 爆轰波 爆燃波 |
Generalized Riemann Problem for Gas Dynamic Combustion |
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| LIU Yu-jin,SHENG Wan-cheng.Generalized Riemann Problem for Gas Dynamic Combustion[J].Applied Mathematics and Mechanics,2011,32(8). |
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| Authors: | LIU Yu-jin SHENG Wan-cheng |
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| Institution: | LIU Yu-jin1,2,SHENG Wan-cheng1(1.Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China,2.School of Science,Shandong University of Technology,Zibo,Shandong 255049,P.R.China) |
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| Abstract: | The generalized Riemann problem for gas dynamic combustion in a neighborhood of the origin(t>0) in the(x,t)plane was considered.Under the modified entropy conditions,the solutions were constructed uniquely,which were the limits of the selfsimilar ZND combustion model.It was found that,for some cases,there were intrinsical differences between the structures of the perturbed Riemann solutions and the corresponding Riemann solutions.Especially,a strong detonation in the corresponding Riemann solution may be tr... |
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| Keywords: | generalized Riemann problem entropy conditions detonation wave deflagration wave |
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