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A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

Communications in Computational Physics 2022年第1期31卷 27-59页

作者： M.Bonotto D.Abate P.Bettini F.Villone Consorzio RFX(CNR ENEAINFNUniversitàdi PadovaAcciaierie Venete SpA)C.so Stati Uniti 435127 PadovaItaly INFN-LNL LegnaroItaly Dipartimento di Ingegneria Industriale(DII) Universitàdi PadovaItaly Consorzio CREATE DIETIUniversitàdi Napoli Federico IIItaly

In this paper we present a coupled Finite Element Method–Boundary Element Method(FEM-BEM)approach for the solution of the free-boundary axi-symmetric plasma equilibrium problem.The proposed method,obtained from an improvement of the Hagenow-Lackner coupling method,allows to efficiently model the equilibrium problem in unbounded domains by discretizing only the plasma region;the external conductors can be modelled either as 2D or 3D models,according to the problem of interest.The paper explores different iterative methods for the solution of the nonlinear grad-shafranov equation,such as Picard,Newton-Raphson and Newton-Krylov,in order to provide a robust and reliable tool,able to handle large-scale problems(e.***.high resolution equilibria).This method has been implemented in the FRIDA code(FReeboundary Integro-Differential Axisimmetric–https://github.om/matteobonotto/FRIDA),together with a suitable Adaptive Integration Technique(AIT)for the computation of the source term.FRIDA has been successfully tested and validated against experimental data from RFX-mod device,and numerical equilibria of an ITER-like device.

关键词： FEM-BEM MHD plasma equilibrium grad-shafranov equation

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Quasi-static magnetic compression of field-reversed configuration plasma:amended scalings and limits from two-dimensional MHD equilibrium

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Plasma Science and Technology 2023年第2期25卷 58-67页

作者： Abba Alhaji BALA 朱平李浩龙丁永华刘家兴万遂何莹李达王能超饶波王之江 International Joint Research Laboratory of Magnetic Confinement Fusion and Plasma Physics State Key Laboratory of Advanced Electromagnetic Engineering and TechnologySchool of Electrical and Electronic EngineeringHuazhong University of Science and TechnologyWuhan 430074People's Republic of China School of Physics Huazhong University of Science and TechnologyWuhan 430074People's Republic of China Department of Physics Federal University DutseJigawa 720101Nigeria Department of Engineering Physics University of Wisconsin-MadisonMadisonWisconsin WI-53706 United States of America College of Physics and Optoelectronic Engineering Shenzhen UniversityShenzhen 518060People's Republic of China

In this work,several key scaling laws of the quasi-static magnetic compression of field reversed configuration(FRC)plasma(Spencer et al 1983 Phys.Fluids 261564)are amended from a series of two-dimensional FRC MHD equilibriums numerically obtained using the grad–shafranov equation solver NIMEQ.Based on the new scaling for the elongation and the magnetic fields at the separatrix and the wall,the empirically stable limits for the compression ratio,the fusion gain,and the neutron yield are evaluated,which may serve as a more accurate estimate for the upper ceiling of performance from the magnetic compression of FRC plasma as a potential fusion energy as well as neutron source devices.

关键词： magneto-hydrodynamic equilibrium grad-shafranov equation field reversed configuration NIMEQ magnetic compression

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Fast parallel grad–shafranov solver for real-time equilibrium reconstruction in EAST tokamak using graphic processing unit

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Chinese Physics B 2017年第8期26卷 276-283页

作者：黄耀肖炳甲罗正平 Institute of Plasma Physics Chinese Academy of Sciences School of Nuclear Science & Technology University of Science & Technology of China

To achieve real-time control of tokamak plasmas, the equilibrium reconstruction has to be completed sufficiently quickly. For the case of an EAST tokamak experiment, real-time equilibrium reconstruction is generally required to provide results within 1ms. A graphic processing unit（GPU） parallel grad–shafranov（G-S） solver is developed in P-EFIT code,which is built with the CUDA？ architecture to take advantage of massively parallel GPU cores and significantly accelerate the computation. Optimization and implementation of numerical algorithms for a block tri-diagonal linear system are presented. The solver can complete a calculation within 16 μs with 65×65 grid size and 27 μs with 129×129 grid size, and this solver supports that P-EFIT can fulfill the time feasibility for real-time plasma control with both grid sizes.

关键词： tokamak grad-shafranov equation equilibrium reconstruction GPU parallel computation

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