报告题目：A posteriorierror estimation and its applications

报告摘要：In order to make a detailed Computational Fluid Dynamics (CFD) study of complex flow characteristics, adaptive-gridding techniques become a pertinent and powerful tool for achieving an accurate and economical numerical simulation. When using adaptive gridding techniques, one of the key issues to be addressed is to determine where of the mesh needs to be adapted. Among different classes of mesh adaptive criteria, the a posteriori error estimation approach has been attracting an increasing amount of attention from the CFD research community.

The a posteriori error estimation is derived from the modeling equations themselves, requiring no adjustment of ad hoc nature for all problems governed by the same modeling equations. Using this mathematical approach, the error can be estimated by solving a local Newmann problem that depends on the modeling equations and involves a higher order approximation. Then, an error energy norm can be formed to guide the adjustment of local node density. Through simultaneous local refinement and re-coarsening, the error can be more uniformly distributed on the mesh, and the error magnitude may be further globally reduced towards a desirably low level.

This talk will explain how to build the a posteriori error estimation framework for a general case. The emphasis will be then placed on application of this mathematical criterion to a variety of practical problems arising from environmental engineering and aerospace engineering. Selected test cases focusing on adaptive solution of Navier-Stokes problems have been performed using this mesh adaptive strategy, and interesting results will be discussed.

主讲人：Dr. Jun Cao，Professor

Department of Mechanical & Industrial Engineering, Ryerson University,Toronto, Ontario, Canada

主讲人简介：Dr. Jun Caoobtained his Bachelor degree in Aerodynamics in 1989 from Nanjing University of Aeronautics and Astronautics, China, and his Ph.D. degree in Mathematics in 1995 from University of Paris VI, France. His research work had included development of advanced numerical tools for applications in the aerospace engineering (at Dassault Aviation, France in 1990–1995 and at University of California, San Diego in 1995–1996), the environmental engineering (at Stanford University in 1996–1998), and the fuel cell technology (at Simon Fraser University in 1999, University of Victoria in 1999–2000, Canada). He joined Ryerson in August 2000, and now he is a Full Professor of Mechanical and Industrial Engineering. As visiting professor, he paid sabbatical visits to the Department of Mathematics in Hong Kong Baptist University, the College of Mathematical Science in Peking University, the Institute of Computational Mathematics and Scientific/Engineering Computing in the Chinese Academy of Sciences (in 2007-2008), the School of Aeronautics in the Northwestern Polytechnical University (in 2016), respectively. Currently his research work focuses on development of novel numerical methods for mathematical modeling and numerical simulation of complex flows and transport phenomena.

时间： 3月29日（星期四） 15:00

地点：瘦西湖校区38号楼108告厅