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A fully decoupled iterative method with 3D anisotropic immersed finite elements of non-homogeneous flux jump for Kaufman-type discharge problems
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报告题目:A fully decoupled iterative method with 3D anisotropic immersed finite elements of non-homogeneous flux jump for Kaufman-type discharge problems

主讲人:何晓明教授(密苏里科学技术大学)

时间:2021年12月22日,10:00-11:00

腾讯会议ID:341 838 718

内容简介:In order to simulate the Kaufman-type discharge problems, a fully decoupled iterative method with anisotropic immersed finite elements on Cartesian meshes is proposed, especially for a three-dimensional (3D) non-axisymmetric anisotropic hybrid model which is more difficult than the axisymmetric or isotropic models. The classical hybrid model, which describes the important plasma distribution of the Kaufman-type discharge problems, couples several difficult equations together to form a large scale system. The 3D non-axisymmetric and anisotropic properties will further increase the complexity of this system. Hence it generally needs to be solved in the decoupled way for significantly reducing the computational cost. Based on the Particle-in-Cell Monte Carlo collision (PIC-MCC) method and the immersed finite element (IFE) method, we propose a fully decoupled iterative method for solving this complex system. The IFE method allows Cartesian meshes for general interface problems, while the traditional finite element methods require body-fitting meshes which are often unstructured. Compared with traditional finite element methods, this feature significantly improves the efficiency of the proposed 3D fully decoupled iterative method, while maintaining the optimal accuracy of the chosen finite elements. Numerical simulations of traditional Kaufman ion thruster and annular ion thruster discharge chambers are provided and compared with the corresponding lab experiment results to illustrate the features of the proposed method.

报告人简介:何晓明,2002年与2005年在四川大学数学学院分别获学士与硕士学位,2009年在弗吉尼亚理工大学数学系获博士学位,2009年至2010年在佛罗里达州立大学作博士后。2010年至2016年在美国密苏里科学技术大学任助理教授,2016年晋升为副教授并获终身教职,2021年晋升为正教授。2018年获得Humboldt Research Fellowship for Experienced Researchers。担任计算数学领域国际期刊International Journal of Numerical Analysis & Modeling的编委。2014-2016年担任SIAM美国中部分会的第一任主席和前两届年会的组织委员会主席。2019年起担任Midwest Numerical Analysis Day的组织委员成员。2021年1月起担任SIAM Committee on Programs and Conferences成员。何晓明教授主要的研究领域是计算科学与工程。研究问题主要包括界面问题,计算流体力学,计算电磁学,有限元方法,各类解耦算法,数据同化,随机偏微分方程,控制问题等。他将计算数学与实际工程应用问题结合起来,在科学计算和应用领域做了大量的工作,在SIAM Journal on Scientific Computing,Journal of Computational Physics,Computer Methods in Applied Mechanics and Engineering, SIAM Journal on Numerical Analysis,Mathematics of Computation,Numerische Mathematik,IEEE Transactions on Plasma Science, Lab on a Chip等杂志发表论文70余篇。

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