应用数学和力学2011，Vol.32Issue(8)：1011-1020,10.DOI:10.3879/j.issn.1000-0887.2011.08.011
气体动力学燃烧模型的广义Riemann问题
Generalized Riemann Problem for Gas Dynamic Combustion
摘要
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 transformed into a weak deflagration coalescing with pre-compression shock wave after perturbation. And in some cases, although there is no combustion wave of the corresponding Riemann solution, it may occur after perturbation, which shows the instability of unbumt gases.关键词
广义Riemann问题/熵条件/爆轰波/爆燃波Key words
generalized Riemann problem/ entropy conditions/ detonation wave/ deflagration wave分类
数理科学引用本文复制引用
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):1011-1020,10.基金项目
国家自然科学基金资助项目(10971130) （10971130）
上海市教委重点学科资助项目(150101) （150101）
上海市教委创新基金重点资助项目(11ZZ84) （11ZZ84）
感谢上海大学研究生创新基金(A.16-0101-08-016)的资助. （A.16-0101-08-016）
