报告人： Michel Mehrenberger教授

报告题目：Non-Uniform Splines for Semi-Lagrangian Kinetic Simulations of the Plasma Sheath

主持人：杨畅   

报告摘要：

Numerical methods based on non-uniform splines of varying degrees are used to run kinetic semi-Lagrangian simulations of the plasma sheath. The sheath describes a region of plasma in contact with a wall. Numerical methods based on non-uniform splines of varying degrees are used to run kinetic semi-Lagrangian simulations of the plasma sheath. This region is particularly difficult to simulate, due to its kinetic nature  and the presence of steep gradients requiring fine numerical resolution. The construction of a simulation grid from Greville abcissae of judiciously chosen non-uniform knots is shown to reduce the memory requirements by 89% for the simulation presented. Cubic splines are found to provide a good compromise between fast convergence and controlled oscillations preserving positivity. Despite the reduction in performance associated with using non-uniform spline schemes, effective parallelisation through the use of GPUs leads to non-uniform simulations running 5.5 times faster than uniform simulations providing equivalent results.

Joint work with Emily Bourne, Yann Munschy, Virginie Grandgirard, Philippe Ghendrih (CEA Cadarache)

报告时间：2023.06.09   下午19:00-21:00

报告地点：C2楼413室

      报告人简介：Michel Mehrenberger，法国艾克斯-马赛大学教授，从事等离子体物理的数值模拟研究二十余年，在相关领域发表学术论文50余篇，包括Mathematics of Computation、SIAM Journal on Numerical Analysis、Journal of Computational Physics、Numerische Mathematik、Journal of Scientifific Computing等顶级期刊，单篇引用高达180余次。