An Integrated Linear Reconstruction for Finite Volume Scheme on Unstructured Grids
主 题: An Integrated Linear Reconstruction for Finite Volume Scheme on Unstructured Grids
报告人: 陈里 (北京大学数学学院)
时 间: 2016-04-13 12:00 - 13:15
地 点: 理科一号楼1560
Linear reconstruction based on local cell-averaged values is the most commonly adopted technique to achieve a second-order accuracy when one uses the finite volume scheme on unstructured grids. For solutions with discontinuities appearing in conservation laws, a certain limiter has to be applied to the predicted gradient to prevent numerical oscillations. We propose a new formulation for linear reconstruction on unstructured grids, which integrates the prediction of the gradient and the limiter together. By solving on each cell a tiny linear programming problem without any parameters, the gradient is directly obtained which satisfies the monotonicity condition. Numerical results demonstrate that our method achieves satisfactory numerical accuracy with theoretical guarantee of local discrete maximum principle. 研究生学术午餐会是在学院领导的大力支持下，由研究生会负责组织的系列学术交流活动。午餐会每次邀请一位同学作为主讲人，面向全院各专业背景的研究生介绍自己科研方向的基本问题、概念和方法，并汇报近期的研究成果和进展，是研究生展示自我、促进交流的学术平台。 研究生会已经举办了九期活动，我们将于2016年4月13日周三举办第十期学术午餐会活动，欢迎感兴趣的老师和同学积极报名参加。 报名方式：请有意参加的老师在4月12日(周二)晚10点前发送邮件至 smsxueshu@126.com,我们将回复邮件和您确认,邮件报名方式仅限于老师，有意参加的同学请点击报名链接http://www.sojump.hk/jq/7747123.aspx ，谢谢！
