Generalized Riemann problem for gas dynamic combustion 被引量：1

Generalized Riemann problem for gas dynamic combustion

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摘要 The generalized Riemann problem for gas dynamic combustion in a neighborhood of the origin t > 0 in the (x, t) plane is considered. Under the modified entropy conditions, the unique solutions are constructed, which are the limits of the selfsimilar Zeldovich-von Neumann-Dring (ZND) combustion model. The results show that, for some cases, there are 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 the pre-compression shock wave after perturbation. Moreover, in some cases, although no combustion wave exists in the corresponding Riemann solution, the combustion wave may occur after perturbation, which shows the instability of the unburnt gases. The generalized Riemann problem for gas dynamic combustion in a neighborhood of the origin t 0 in the （x, t） plane is considered. Under the modified entropy conditions, the unique solutions are constructed, which are the limits of the selfsimilar Zeldovich-von Neumann-Dring （ZND） combustion model. The results show that, for some cases, there are 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 the pre-compression shock wave after perturbation. Moreover, in some cases, although no combustion wave exists in the corresponding Riemann solution, the combustion wave may occur after perturbation, which shows the instability of the unburnt gases.

作者刘玉锦盛万成

机构地区 Department of Mathematics Shanghai University School of Science Shandong University of Technology

出处《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第8期1079-1090,共12页 应用数学和力学（英文版）

基金 Project supported by the National Natural Science Foundation of China(No.10971130) the Shanghai Leading Academic Discipline Project(No.J50101) the Shanghai Municipal Education Commission of Scientific Research Innovation Project(No.11ZZ84) the Graduate Innovation Foundation of Shanghai University

关键词 generalized Riemann problem entropy condition detonation wave deflagration wave generalized Riemann problem entropy condition detonation wave deflagration wave

分类号 O186.12 [理学—基础数学] O354 [理学—流体力学]

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