报告题目：High order asymptotic preserving DG-IMEX schemes for multiscale kinetic equations
报告人：熊涛教授
报告人单位：厦门大学
时间：2018年10月8日（周一）下午15:30-16:30
地点：教2-314（350VIP浦京集团会议室）
主办单位：350VIP浦京集团
报告内容：Kinetic equations which arise from dilute gas dynamics or plasma physics has a great challenge for numerical simulations.It is mainly due to its multiscale structure and high dimensionality. Following the framework of asymptotic preserving (AP) schemes, we have proposed a class of high order AP DG-IMEX schemes based on a micro-macro reformulation. The schemes are globally stiffly accurate and asymptotically consistent, and as the Knudsen number becomes small or goes to zero, they recover the compressible Navier-Stokes (CNS) or the Euler limit. In order to save more computational cost due to high dimensionality, we further propose a hierarchical high order DG-IMEX method, namely kinetic, CNS and Euler solvers are automatically applied in regions where their corresponding models are appropriate. The numerical solvers for different regimes are coupled naturally by interface conditions. Numerical experiments demonstrate the efficiency and effectiveness of our proposed approach.
报告人简介：熊涛博士2012年在中国科学技术大学取得博士学位，2012-2015年在美国休斯顿大学从事博士后研究，2015年加入厦门大学数学科学学院，目前为厦门大学教授，博导。主要研究方向是发展计算流体力学和动理学方程的高精度数值方法，特别是多尺度问题的高阶渐进保持方法。