Toroidal Equilibrium Analysis of an Axisymmetric Free-Boundary Plasma

Mitsuaki Maeyama; Eiki Hotta

doi:10.1541/ieejfms1990.115.6_505

Mitsuaki Maeyama, Eiki Hotta

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JOURNAL FREE ACCESS

1995 Volume 115 Issue 6 Pages 505-510

DOI https://doi.org/10.1541/ieejfms1990.115.6_505

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Published: May 20, 1995 Received: June 27, 1994 Available on J-STAGE: July 15, 2008 Accepted: - Advance online publication: - Revised: -
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Date of correction: July 15, 2008 Reason for correction: - Correction: CITATION Details: Wrong : (1) T. Takeda and S. Tokuda: Computation of MHD Equilibrium of Tokamak Plasma, J. Comp. Phys., 93, 1 (1991)
(2) J. L. Johnson, H. E. Dalhed, J. M. Greene, R. C. Grimm, Y. Y. Hsieh, S. C. Jardin, J. Manickam, M. Okabayashi, R. G. Storer, A. M. M. Todd, D. E. Voss and K. E. Weimer: Numerical Determination of Axisymmetric Totoidal Magnetohydrodynamic Equilibria., J. Comp. Phys., 32, 212 (1979)
(3) Y. Yoshida, H. Ninomiya, M. Azumi, and S. Seki: Numerical Method for Tokamak Equilibrium with Outside Limiter., J. Comp. Phys., 63, 477 (1986)
(4) R. Gruber and J. Rappaz: Finite Element methods in Linear Ideal Magnetohydrodynamics, SpringerVerlag 1985
(6) K. Moriya: Two-Node Semi-Infinite Element for the Analysis of Exterior Field Problem, Theoretical and Applied Mechanics, Proc. of 30th Japan National Congress for Applied Mechanics, 30, 181 (1980)
(8) H. A. Bodin: Reversed Field Pinch: Status and Trends, Plasma Phys. and Cont. Fusion, 29, 1297 (1987)
(9) K. Hattori, K. Hayase and Y. Sato: Poloidal-Open Divertor Experiments on TPE-2M Reversed Field Pinch., J. Phys. Soc. Jpn., 63, 2177, (1994)
(10) M. Suzuki, M. Saito, and E. Hotta: Minimum-Energy State of an Axisymmetric Toroidal Plasma, J. Phys. Soc. Jpn., 62, 1829 (1993)

Right : (1) T. Takeda and S. Tokuda: Computation of MHD Equilibrium of Tokamak Plasma, J. Comp. Phys., 93, 1 (1991)
(2) J. L. Johnson, H. E. Dalhed, J. M. Greene, R. C. Grimm, Y. Y. Hsieh, S. C. Jardin, J. Manickam, M. Okabayashi, R. G. Storer, A. M. M. Todd, D. E. Voss and K. E. Weimer: Numerical Determination of Axisymmetric Totoidal Magnetohydrodynamic Equilibria., J. Comp. Phys., 32, 212 (1979)
(3) Y. Yoshida, H. Ninomiya, M. Azumi, and S. Seki: Numerical Method for Tokamak Equilibrium with Outside Limiter., J. Comp. Phys., 63, 477 (1986)
(4) R. Gruber and J. Rappaz: Finite Element methods in Linear Ideal Magnetohydrodynamics, SpringerVerlag 1985
(5) S. Semenzato, R. Gruber and H. P. Zehrfeld: Computation of Symmetric Ideal MHD Flow Equilibria, Comp. Phys. Reports, 1, 389 (1984)
(6) K. Moriya: Two-Node Semi-Infinite Element for the Analysis of Exterior Field Problem, Theoretical and Applied Mechanics, Proc. of 30th Japan National Congress for Applied Mechanics, 30, 181 (1980)
(8) H. A. Bodin: Reversed Field Pinch: Status and Trends, Plasma Phys. and Cont. Fusion, 29, 1297 (1987)
(9) K. Hattori, K. Hayase and Y. Sato: Poloidal-Open Divertor Experiments on TPE-2M Reversed Field Pinch., J. Phys. Soc. Jpn., 63, 2177, (1994)
(10) M. Suzuki, M. Saito, and E. Hotta: Minimum-Energy State of an Axisymmetric Toroidal Plasma, J. Phys. Soc. Jpn., 62, 1829 (1993)

Date of correction: July 15, 2008 Reason for correction: - Correction: PDF FILE Details: -

Abstract

Analysis of ideal MHD equilibrium is one of basic numerical means for the magnetic design of device, or the MHD stability analysis of plasma. Especially, in demand is the equilibrium analysis of the condition not on a geometry of conducting shell, but on the current in external field control coil. In this paper, we propose a new numerical scheme for the analysis of stationary axisymmetric equilibrium using finite element method. The formulation of this scheme is done using the functional of assumed displacement hybrid model which makes it possible to use several tyges of elements, that is, lst order square element in (r, z) coordinate, square element parallel to the magnetic surface and 2-node semi-infiinite element. Features of plasma configuration such as tokamak, RFP, z-pinch and spheromak are given by specifying two magnetic surface functions P (ψ) and I (ψ) =rBt. Examples of application of this code to RFP device, TPE-2M, at Electrotechnical Laboratory are given.

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