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Numerical Studies of Structure Formation of Plasmas in Non-equilibrium Open System through Modeling of Inter-hierarchy Interaction

通过层次间相互作用建模非平衡开放系统中等离子体结构形成的数值研究

基本信息

批准号：
15540386
负责人：
MIURA Hideaki
金额：
$ 2.11万
依托单位：
National Institute for Fusion Science
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2006
项目状态：
已结题

项目摘要

This study aims at developing a large-scale numerical simulation method by using a new modeling which can treat self-consistently a multi-scaled spatio-temporal domain, and applying it to the dynamics of structural transient phenomena in plasma. The results are as follows :1. Analysis of self-organization process by means of two-fluid modelA two-fluid model based on nonlinear compressible Hall-MHD equations has been developed. In contrast to conventional MHD models, the formation of cross-field plasma flows which is a nature of double-Beltrami (DB) equilibria, and constraint of the process is confirmed.2. Structure formation in tori with flowsRelaxation mechanisms in a high-beta tori with flows are studied. For the cases of numerical equilibria based on the modified Grad-Shafranov equation, the spontaneous formation of poloidal flows in a translation process of a field-reversed configuration, and a diamagnetic rotation, the pressure-driven instabilities are analyzed. Selective stabilization due to flows are clarified. The development of pressure-driven instabilities in the large helical device (LHD) plasma has shown the suppression effect due to the spontaneous toroidal flows and the compressibility.3. Edge-localized mode (ELM) in spherical tokamak (ST)Abovementioned models are applied to ELM in ST. The formation of filaments on ELMs are well reproduced. The soundness of the model is confirmed against the diamagnetic effect.4. Formation of multi-layered structure by means of adaptive mesh refinement (AMR) methodA numerical code with a high-resolution compact difference method has been modified to include the AMR method. The effectiveness of the code towards the MHD simulations is confirmed.

本研究的目的是发展一种大规模的数值模拟方法，通过使用一种新的模型，可以处理自洽的多尺度时空域，并将其应用于等离子体中的结构瞬态现象的动力学。研究结果如下：1.基于非线性可压缩Hall-MHD方程的双流体模型，建立了一个自组织过程的双流体模型。与传统的MHD模型相比，证实了交叉场等离子体流的形成是双Beltrami（DB）平衡的本质，并对该过程进行了约束.研究了高β环中的弛豫机制。对于基于修正的Grad-Shafranov方程的数值平衡、场反转位形平移过程中极向流的自发形成以及逆磁旋转的情形，分析了压力驱动的不稳定性。由于流动的选择性稳定澄清。大螺旋装置（LHD）等离子体中压力驱动不稳定性的发展显示了自发环向流动和可压缩性的抑制作用.将球形托卡马克（ST）的边缘局域模（ELM）应用于ST的ELM，很好地再现了ELM上灯丝的形成。针对抗磁效应，验证了模型的正确性.用自适应网格加密（AMR）方法形成多层结构一个具有高分辨率紧致差分方法的数值程序已被修改以包括AMR方法。该代码对MHD模拟的有效性得到了证实。