Reflection and Refraction of Waves Across an Interface of Two-phase Flow

作     者：Kai HU Hui KAN Chun-lei TANG Xiao-zhou YANG Kai HU;Hui KAN;Chun-lei TANG;Xiao-zhou YANG

作者机构：School of Mathematics and StatisticsSouthwest UniversityChongqing 400715China Wuhan Institute of Physics and MathematicsChinese Academy of SciencesWuhan 430071China 

出 版 物：《Acta Mathematicae Applicatae Sinica》 (应用数学学报（英文版）)

年 卷 期：2021年第37卷第1期

页      面：137-147页

核心收录：

学科分类：080704[工学-流体机械及工程] 08[工学] 0807[工学-动力工程及工程热物理] 

基　　金：Supported by the National Natural Science Foundation of China(No.11901475) China Postdoctoral Science Foundation(No.2019M653815XB) Chongqing Special Postdoctoral Science Foundation(No.XmT2018045) 

主　　题：p-system two-phase fluid Hodograph transform Volterra equation 

摘      要：We investigate a hyperbolic system of one-dimensional isothermal fluid with liquid-vapor phase *** refraction-reflection phenomena are intensively analyzed when elementary waves travel across the two-phase *** apply the characteristic method and hodograph transform of Riemann to reduce the nonlinear PDEs to a concise *** for the case of incident rarefaction wave,reduced linear equations are convenient to solve by Laplace *** an integral formula in wave interaction region is derived in this paper,instead of the hypergeometric functions solutions for non-isothermal polytropic *** is also observed that when incident waves travel from the vapor phase to the liquid phase,the refracted waves must be accelerated and move forward.