报告题目: | A simple and efficient finite volume WENO method for hyperbolic conservation laws |
报 告 人: | 邱建贤 教授(厦门大学) |
报告时间: | 2018年06月28日 14:30--15:30 |
报告地点: | 理学院东北楼四楼报告厅(404) |
报告摘要: | In this presentation, we present a simple high order weighted essentially non- oscillatory (WENO) schemes to solve hyperbolic conservation laws. The main advantages of these schemes presented in the paper are their compactness, robustness and could maintain good convergence property for solving steady state problems. Comparing with the classical WENO schemes by G.-S. Jiang and C.-W. Shu, J. Comput. Phys., 126 (1996), 202-228, there are two major advantages of the new WENO schemes. The first, the associated optimal linear weights are independent on topological structure of meshes, can be any positive numbers with only requirement that their summation equals to one, and the second is that the new scheme is more compact and efficient than the scheme by Jiang and Shu. Extensive numerical results are provided to illustrate the good performance of these new WENO schemes. |