报告题目： Some progresses on two-dimensional Riemann problems in gas dynamics

报告人：李杰权 教授，北京应用物理与计算数学研究所

时  间：2015年9月18日    下午4:00 -- 5:00

地  点：东区管理科研楼  数学科学学院1218室

内容提要：

Two―dimensional Riemann problems for compressible fluid flows assume the simplest piecewise sectorial initial state but provide the most fundamental wave configurations, including the reflection of oblique shocks and vortex-shock interaction etc. In this talk I will show many fascinating pictures, based on 2―D Riemann solutions, to disclose the mysteries of compressible fluid world both through analytical tools (in the form of mathematical theorems) and computational techniques (in the form of simulations). The analysis is based on the characteristic decomposition theory we developed recently, while the simulations are obtained using the generalized Riemann problem (GRP) scheme that is equipped with an accurate solver in the construction of numerical fluxes by a way of tracking singularities analytically and keeping entropy exactly computed.