数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1405-1418.doi: 10.1016/S0252-9602(16)30077-7

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UNIFORM FORMULA FOR THE RIEMANN SOLUTIONS OF A SCALAR COMBUSTION MODEL

杨春龙, 曹高伟, 杨小舟   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • 收稿日期:2015-04-15 修回日期:2016-01-08 出版日期:2016-10-25 发布日期:2016-10-25
  • 通讯作者: Gaowei CAO,gwcao@wipm.ac.cn E-mail:gwcao@wipm.ac.cn

UNIFORM FORMULA FOR THE RIEMANN SOLUTIONS OF A SCALAR COMBUSTION MODEL

Chunlong YANG, Gaowei CAO, Xiaozhou YANG   

  1. Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences, Wuhan 430071, China
  • Received:2015-04-15 Revised:2016-01-08 Online:2016-10-25 Published:2016-10-25
  • Contact: Gaowei CAO,gwcao@wipm.ac.cn E-mail:gwcao@wipm.ac.cn

摘要:

In this paper, we construct a uniform formula for the Riemann solutions of the simplified Chapman-Jouguet model. Firstly, we define a new functional, and then, we obtain that the Riemann solutions can be expressed by the maximum value point of this functional, while Riemann solutions may contain some of strong detonation waves, Chapman-Jouguet detonation waves and contact discontinuities. Finally, Chapman-Jouguet deflagration waves are also discussed.

关键词: Riemann solution, Chapman-Jouguet model

Abstract:

In this paper, we construct a uniform formula for the Riemann solutions of the simplified Chapman-Jouguet model. Firstly, we define a new functional, and then, we obtain that the Riemann solutions can be expressed by the maximum value point of this functional, while Riemann solutions may contain some of strong detonation waves, Chapman-Jouguet detonation waves and contact discontinuities. Finally, Chapman-Jouguet deflagration waves are also discussed.

Key words: Riemann solution, Chapman-Jouguet model

中图分类号: 

  • 35L65