首页 | 本学科首页   官方微博 | 高级检索  
     检索      

二维气体动力学中压差方程的特征分解和简单波
引用本文:肖伟,盛万成.二维气体动力学中压差方程的特征分解和简单波[J].应用数学与计算数学学报,2014(1):53-61.
作者姓名:肖伟  盛万成
作者单位:上海大学理学院
基金项目:国家自然科学基金资助项目(11371240);上海市教育委员会重点学科建设资助项目(J50101);上海市教育委员会创新基金重点资助项目(11ZZ84)
摘    要:利用直接的方法讨论了在自相似平面上气体动力学中二维压差方程的特征分解理论,得到了压强P和特征值A±的特征分解.进一步地,若流动来自常状态,还可得到速度(u,v)的特征分解.由此,可以得到与常状态流动相邻的流动是简单波,并说明了简单波的流动区域是被一族直线所覆盖,且沿着每条直线, (P,u,v)为常数.

关 键 词:压差方程  Euler方程  特征分解  简单波

Characteristic decompositions and simple waves of two dimensional pressure-gradient equations
XIAO Wei;SHENG Wan-cheng.Characteristic decompositions and simple waves of two dimensional pressure-gradient equations[J].Communication on Applied Mathematics and Computation,2014(1):53-61.
Authors:XIAO Wei;SHENG Wan-cheng
Institution:XIAO Wei;SHENG Wan-cheng;College of Sciences,Shanghai University;
Abstract:This paper presents characteristic decompositions of the two dimensional pressure-gradient equations in the self-similar plane by a direct approach. The decompositions can allow a proof for the simple wave. The decompositions of the pressure P and the characteristics A± are obtained. Furthermore, the decompositions of the velocity (u, v) can also be obtained if the flow comes from a constant state, which is a case that has not been discussed previously. By the characteristic decompositions, it is found that any wave adjacent to a constant state is a simple wave whose flow region is covered by a one-parametric family of independent lines, along each of which the pressure P and the velocity (u, v) are constants.
Keywords:pressure-gradient equation  Euler equation  characteristic decomposition  simple wave
本文献已被 CNKI 维普 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号