Development of three-dimensional MHD equilibrium code based on non-canonical Hamiltonian theory and its application to physics

2017 Fiscal Year Final Research Report

• Project/Area Number: 15K06647
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Nuclear fusion studies
• Research Institution: Tottori University
• Principal Investigator: Furukawa Masaru 鳥取大学, 工学研究科, 准教授 (80360428)
• Project Period (FY): 2015-10-21 – 2018-03-31
• Keywords: プラズマ・核融合 / ハミルトン系 / カシミール不変量 / 磁気流体力学（MHD） / 定常状態

Outline of Final Research Achievements

We have developed a new method for calculating steady states of magnetohydrodynamics (MHD) model that describes macroscopic motion of magnetized plasmas. The new method, named simulated annealing, enables us to obtain a wider class of equilibria that we have not be able to calculate by existing methods. We have applied the simulated annealing to low-beta reduced MHD, and have obtained steady states of cylindrical plasmas where magnetic islands and/or helical deformations exist inside the plasmas as lower energy states. Furthermore, we have extended the method to high-beta reduced MHD, and have succeeded to obtain equilibria of toroidal plasmas. In addition, this research required advanced numerical technique suitable for the Hamiltonian systems. Thus we have advanced research on structure-preserving numerical algorithms for Hamiltonian systems including charged particle dynamics.

Free Research Field

プラズマ物理学