报告人：北京应用物理与计算数学研究所  成娟  研究员

报告时间：2023年4月8日8：30-11：30

报告地点：河南省大数据研究院三楼大会议室

联系人：李文哲(电话号码:17796735786)

Abstract：

In this talk, we propose two classes of high order positivity-preserving conservative remapping methods on 2D and 3D meshes in the finite volume and discontinuous Galerkin (DG) frameworks respectively. Combined with the finite volume and DG Lagrangian schemes and the rezoning strategies, we present two types of high order positivity-preserving conservative ALE methods individually. For the finite volume framework, we adopt the multi-resolution WENO reconstruction which can achieve optimal accuracy in the smooth regions and keep non-oscillatory near discontinuities. Also we incorporate an efficient local limiting to preserve positivity for the positive physical variables involved in the ALE framework without sacrificing the original high-order accuracy and conservation. For the DG framework, we develop a high-order positivity-preserving polynomial projection remapping method based on the L₂ projection for the DG scheme. A series of numerical tests are provided to verify properties of our remapping algorithms, such as high-order accuracy, conservation, essential non-oscillation, positivity-preserving and efficiency. The performance of the ALE methods using the above discussed remapping algorithms is also tested for the Euler system.

简介：

成娟，北京应用物理与计算数学研究所研究员，博士生导师，北京大学应用物理与技术研究中心兼职教授。主要从事可压缩流体力学、辐射输运、多物理耦合模型高精度健壮高效数值方法研究。现为 “Journal of Computational Physics”、“Communications on Applied Mathematics and Computation”等期刊编委、北京计算数学学会副理事长。主持国家自然科学基金重点项目。