Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
Characteristic decompositions and interactions of rarefaction waves of 2-D Euler equations
复制标题
DOI：
10.1016/j.jde.2010.07.009
复制
发表时间：
2011-01
影响因子：
2.4
通讯作者：
Jiequan Li;Zhicheng Yang;Yuxi Zheng
中科院分区：
文献类型：
--
作者：
Jiequan Li;Zhicheng Yang;Yuxi Zheng
本文研究了二维自相似Euler方程中两个任意平面稀疏波相互作用的经典解。我们开发了Chen和Zheng（出版中）[3]开始的直接方法，以恢复通过Li和Zheng（2009）[14]的速端图变换获得的解的所有性质。与速端图变换相反，直接方法很简单，并且避免了与简单波和边界相关的速端图变换的常见困难。该方法是由各种特征分解的自相似欧拉方程的声速和倾斜角的特征。
This paper is concerned with classical solutions to the interaction of two arbitrary planar rarefaction waves for the self-similar Euler equations in two space dimensions. We develop the direct approach, started in Chen and Zheng (in press) [3], to the problem to recover all the properties of the solutions obtained via the hodograph transformation of Li and Zheng (2009) [14]. The direct approach, as opposed to the hodograph transformation, is straightforward and avoids the common difficulties of the hodograph transformation associated with simple waves and boundaries. The approach is made up of various characteristic decompositions of the self-similar Euler equations for the speed of sound and inclination angles of characteristics.