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Computationally Efficient Implicit ADI Theory and Its Open Region Problems for Anisotropic Gyrotropic Plasma Simulations
Advanced Theory and Simulations ( IF 3.3 ) Pub Date : 2020-10-04 , DOI: 10.1002/adts.202000166
Peiyu Wu 1 , Yongjun Xie 1 , Haolin Jiang 2 , Toshiaki Natsuki 3, 4
Affiliation  

With its unique anisotropic characteristic, gyrotropic plasma is extensively employed in a series of applications. As it is hard to obtain the electric behavior of anisotropic gyrotropic plasma directly, numerical simulation is regarded as one of the most important ways on the investigation. Based upon higher order formulation and an alternating‐direction‐implicit (ADI) procedure, the unconditionally stable ADI perfectly matched layer (PML) is proposed in finite‐difference time‐domain lattice to solving the open region problems for anisotropic gyrotropic plasma. To decouple the updated equations in the gyrotropic plasma regions, approximate decoupling theory is introduced during the implementations. The proposed implementation takes advantages of the higher order formulation, ADI procedure, approximate decoupling theory, and PML implementation in terms of considerable absorption, efficiency, and accuracy in open region problems. Numerical examples are carried out for the demonstration of effectiveness both in theory and experimentally. Through the results, it can be concluded that the proposed implementation is effective and accurate for terminating anisotropic gyrotropic plasma in open region problems when time step surpasses far beyond the Courant–Friedrich–Levy condition.

中文翻译:

各向异性回旋等离子体模拟的高效计算隐式ADI理论及其开放区域问题

回旋等离子体具有独特的各向异性特性,被广泛用于一系列应用中。由于很难直接获得各向异性回旋等离子体的电学行为,数值模拟被认为是研究的最重要的方法之一。基于高阶公式和交替方向隐式(ADI)程序,在有限差分时域晶格中提出了无条件稳定的ADI完美匹配层(PML),以解决各向异性回旋等离子体的开放区域问题。为了使回旋等离子体区域中的更新方程解耦,在实现过程中引入了近似解耦理论。拟议的实施方案利用了高阶公式,ADI程序,近似解耦理论,和PML实施方面,在开放区域问题中具有相当大的吸收性,效率和准确性。数值例子在理论上和实验上都证明了有效性。从结果可以得出结论,当时间步长超出库仑特-弗里德里希-利维条件时,所提出的实施方案对于在开放区域中终止各向异性回旋等离子体是有效而准确的。
更新日期:2020-11-06
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