报告人:朱洪强副教授
南京邮电大学
报告题目:A simple, high-order and compact WENO limiter for RKDG method
报告时间:2018年12月14日下午16:00
报告地点:实验楼108
摘要:In this talk, a new limiter using weighted essentially non-oscillatory (WENO) methodology is investigated for the Runge-Kutta discontinuous Galerkin (RKDG) methods for solving hyperbolic conservation laws. The idea is to use the high-order DG solution polynomial itself in the target cell and the linear polynomials which are reconstructed by the cell averages of solution in the target cell and its neighboring cells to reconstruct a new high-order polynomial in a manner of WENO methodology. Since only the linear polynomials need to be prepared for reconstruction, this limiter is very simple and compact with a stencil including only the target cell and its immediate neighboring cells. Numerical examples of various problems show that the new limiting procedure can simultaneously achieve uniform high-order accuracy and sharp, non-oscillatory shock transitions.
报告人简介: 朱洪强博士2010年在南京大学取得博士学位,随后加入南京邮电大学理学院从事教学和科研工作,目前为南京邮电大学副教授、硕士生导师。主要研究方向是偏微分方程的高分辨数值计算方法,特别是间断Galerkin方法的自适应方法。
联系人:熊涛教授
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