应机械结构强度与振动国家重点实验室的邀请，东京工业大学(Tokyo Institute of Technology (Tokyo Tech)) Feng Xiao教授来访我院并作学术报告。

报告人：Feng Xiao 教授

时间：2017年11月17日下午2:30- 3:30

地点：航天航空学院教一楼第二会议室

报告题目： A new principle for designing high-fidelity Godunov schemes

个人介绍：

Prof. Xiao got his doctor degree in science from Tokyo Institute of Technology (Tokyo Tech) in 1996. After three years in RIKEN as a special post-doctorate researcher, he joined Tokyo Tech in 1999, and he is now a full professor in the department of mechanical engineering, school of engineering, Tokyo Tech. Prof. Xiao has been recently engaged in researches in computational fluid dynamics (CFD), geophysical fluid dynamic modeling, computational physics, as well as CFD applications in engineering, he has authored or co-authored over 100 papers in academic journals and over 200 presentations in international and Japanese conference and symposia. He is a fellow of Japan Society of Mechanical Engineers (JSME), and a recipient of the Computational Mechanics Achievement Award from Japan Society of Mechanical Engineers (JSME) and other awards. Prof. Xiao is currently serving the executive editor of Journal of Computation Physics (JCP) and the General Council member of International association for computational mechanics (IACM). He has also served committee members for some high-profile international conferences, such as World Congress on Computational Mechanics (WCCM) and SIAM Conference on Computational Science & Engineering among others.

报告摘要：

Godunov finite volume method (FVM) is the main-stream numerical framework for compressible fluid dynamics which has wide-range applications in areo-space engineering as well as other industries. Being a core component in Godunov method, the spatial reconstruction has been extensively investigated in the past decades. However, schemes which are able to accurately capture both continuous and discontinuous solutions have not been well established.

We present in this talk a new principle which can be used as a guidance to construct high-fidelity Godunov schemes for CFD applications. The principle, so-called boundary variation diminishing (BVD) principle, minimizes the variations (jumps) of the reconstructed values at cell boundaries so as to effectively reduce numerical dissipation in the solutions. With properly selected BVD-admissible reconstructions as the building blocks in BVD algorithm, a new class of schemes can be devised which have superior solution quality for both continuous and discontinuous solutions in comparison with other existing schemes. More profoundly, given substantially improved accuracy in resolving discontinuous solutions, such as material interfaces, BVD methods provide an appealing approach for simulating multi-phase flows with moving interfaces and reactive fronts.