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A Fully Decoupled Iterative Method with Three-Dimensional Anisotropic Immersed Finite Elements for Kaufman-Type Discharge Problems
Computer Methods in Applied Mechanics and Engineering
  • Chang Lu
  • Jie Wan
  • Yong Cao
  • Xiaoming He, Missouri University of Science and Technology
Abstract

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.

Department(s)
Mathematics and Statistics
Research Center/Lab(s)
Center for High Performance Computing Research
Comments
National Natural Science Foundation of China, Grant ZWK1703
Keywords and Phrases
  • Discharge chamber,
  • IFE,
  • Ion thruster,
  • Iterative method,
  • Kaufman ion source,
  • PIC-MCC
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2021 Elsevier, All rights reserved.
Publication Date
12-1-2020
Publication Date
01 Dec 2020
Citation Information
Chang Lu, Jie Wan, Yong Cao and Xiaoming He. "A Fully Decoupled Iterative Method with Three-Dimensional Anisotropic Immersed Finite Elements for Kaufman-Type Discharge Problems" Computer Methods in Applied Mechanics and Engineering Vol. 372 (2020) ISSN: 0045-7825
Available at: http://works.bepress.com/xiaoming-he/79/