报告人：蔡晓峰博士

 美国特拉华大学数学科学系

题目：A high order non-splitting conservative semi-Lagrangian Discontinuous Galerkin Method for two-dimemsional transport simulations

时间：2018年06月12日上午10:00

地点：海韵行政楼313

摘要：In this talk, we will introduce a high order non-splitting conservative semi-Lagrangian (SL) discontinuous Galerkin (DG) method for the two-dimensional transport simulations. The proposed method relies on a characteristic Galerkin weak formulation and a high order characteristics tracing mechanism. Unlike many existing SL methods, the high order accuracy and mass conservation of the method are realized in a non-splitting manner. Thus, the detrimental splitting error, which could significantly contaminate long term transport simulations, will be not incurred. One key ingredient in the scheme formulation is the use of Green's theorem which allows us to convert volume integrals into a set of line integrals. The resulting line integrals are much easier to approximate with high order accuracy, hence facilitating the implementation. To assess the numerical performance, we benchmark the proposed SLDG schemes for simulating several transport problems, the nonlinear Vlasov-Poisson system and incompressible flow. The efficiency and efficacy of the proposed scheme are numerically verified when compared with other prominent transport solvers such as the Eulerian DG methods combined with Runge-Kutta time integrators.

报告人简介：蔡晓峰现为美国特拉华大学（University of Delaware）数学科学系博士后。2016年博士毕业于厦门大学，2016年7月至2017年8月在休斯敦大学数学系做博士后研究，2017年9月至今在特拉华大学数学科学系做博士后研究。研究领域是计算流体力学，特别是输运方程的高效数值方法及其在等离子物理、天气预报等领域的应用。

联系人:邱建贤教授