Weighted Essentially Non-Oscillatory limiters for Runge-Kutta Discontinuous Galerkin Methods

发布者：系统管理员发布时间：2014-10-14浏览次数：1009

报告题目：	Weighted Essentially Non-Oscillatory limiters for Runge-Kutta Discontinuous Galerkin Methods
报告人：	邱建贤教授
	厦门大学
报告时间：	10月17号(周五)下午14:30
报告地点：	九龙湖数学系第一报告厅
相关介绍：	In the presentation we will describe our recent work on a class of new limiters, called WENO (weighted essentially non-oscillatory) type limiters, for Runge-Kutta discontinuous Galerkin (RKDG) methods. The goal of designing such limiters is to obtain a robust and high order limiting procedure to simultaneously obtain uniform high order accuracy and sharp, non-oscillatory shock transition for the RKDG method. We adopt the following framework: first we identify the "troubled cells", namely those cells which might need the limiting procedure; then we replace the solution polynomials in those troubled cells by reconstructed polynomials using WENO methodology which maintain the original cell averages (conservation), have the same orders of accuracy as before, but are less oscillatory. These methods work quite well in our numerical tests for both one and two dimensional cases, which will be shown in the presentation.