Dimensional Euler Equations Of The Characteristics Of Decomposition And The Evacuation Wave Interaction

This paper is concerned with the construction of classical self-similar solutions to the interaction of two arbitrary planar rarefaction waves for the Euler cquations in two space dimensions.Previous studies used the hodograph transformation,which causes common difficulties inside regions of constant states and simple waves,as well as regions near boundaries and parabolic degenerate curves(sonic curves).In this paper we develop a direct approach, with a tremendous potential in the study of transonic flows.This approach is based on various characteristic decompositions of the Euler equations in the self-similar plane,dependent variables used including primitive state variables and inclination angles of characteristics.