Speaker: Dr. Xucheng Meng (蒙许成博士)

Time: 12:00-13:00, 13 May 2021 (Thursday) (Beijing time)

Venue: B414, Lijiao Building, BNU at Zhuhai

Abstract

In this talk, a fourth-order unstructured NURBS-enhanced finite volume WENO scheme based on the efficient secondary reconstructions is used to solve the two-dimensional steady Euler equations on a physical domain with curved wall boundaries. The method is based on the finite volume discretization, and is built on a Newton Geometrical Multigrid framework. To achieve the fourth-order numerical accuracy for problems with smooth solutions and oscillations-free numerical solutions for problems containing discontinuity, the k-exact reconstruction with k=3 and the easy and efficient secondary reconstructions are used to perform the WENO reconstruction for conserved variables. The NURBS curves are utilized to handle the curved wall boundary. Furthermore, an enlarged reconstruction patch is adopted to significantly improve the convergence to steady state. A variety of numerical examples are presented to show the effectiveness of the proposed method.

About Dr. Meng

Xucheng Meng is currently an Assistant Research Fellow of the Research Center for Mathematics at Beijing Normal University and an Assistant Professor of Division of Science of Technology at UIC. He received his BSc in Information and Computational Mathematics form Sichuan University in 2011, and got his master's degree in Computational Mathematics from Sichuan University in 2014. He obtained his Ph.D in Computational Mathematics from University of Macau in 2018. His research focuses on the computational fluid dynamics, and the high order numerical methods for partial differential equations.