MHD equilibrium and pressure driven instability in L = 1 heliotron plasmas

Yuji Nakamura; Yasuhiro Suzuki; Osamu Yamagishi; Katsumi Kondo; Noriyoshi Nakajima; Takaya Hayashi; D. A. Monticello; A. H. Reiman

doi:10.1088/0029-5515/44/3/002

MHD equilibrium and pressure driven instability in L = 1 heliotron plasmas

Yuji Nakamura, Yasuhiro Suzuki, Osamu Yamagishi, Katsumi Kondo, Noriyoshi Nakajima, Takaya Hayashi, D. A. Monticello, A. H. Reiman

PPPL Theory

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Abstract

Free boundary MHD equilibrium properties of Heliotron J are investigated by VMEC, HINT and PIES codes, and ideal MHD stability properties are studied by the Mercier criterion, the ballooning mode equation and the CAS3D global stability code. It is shown by the equilibrium calculations that the change of the plasma boundary shape is substantial in a low shear helical system even if β is relatively low. Preliminary comparison between PIES results and HINT results shows that the β value at which the magnetic island begins to be perceptible is almost the same in both codes, but the island width seems to be different. It is considered that the difference comes from a difference of pressure distribution in real space which is determined through each numerical algorithm. In the stability analysis, the effect of the global magnetic shear on the three-dimensional or helical ballooning mode whose mode structure shows strong poloidal and toroidal mode (helical mode) coupling is investigated. It is found that the positive shear of the rotational transform is favourable for the three-dimensional ballooning mode stability in a low shear helical system.

Original language	English (US)
Pages (from-to)	387-394
Number of pages	8
Journal	Nuclear Fusion
Volume	44
Issue number	3
DOIs	https://doi.org/10.1088/0029-5515/44/3/002
State	Published - Mar 2004

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Condensed Matter Physics

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@article{157a2b1f74a6471b986d54a2708e8a69,

title = "MHD equilibrium and pressure driven instability in L = 1 heliotron plasmas",

abstract = "Free boundary MHD equilibrium properties of Heliotron J are investigated by VMEC, HINT and PIES codes, and ideal MHD stability properties are studied by the Mercier criterion, the ballooning mode equation and the CAS3D global stability code. It is shown by the equilibrium calculations that the change of the plasma boundary shape is substantial in a low shear helical system even if β is relatively low. Preliminary comparison between PIES results and HINT results shows that the β value at which the magnetic island begins to be perceptible is almost the same in both codes, but the island width seems to be different. It is considered that the difference comes from a difference of pressure distribution in real space which is determined through each numerical algorithm. In the stability analysis, the effect of the global magnetic shear on the three-dimensional or helical ballooning mode whose mode structure shows strong poloidal and toroidal mode (helical mode) coupling is investigated. It is found that the positive shear of the rotational transform is favourable for the three-dimensional ballooning mode stability in a low shear helical system.",

author = "Yuji Nakamura and Yasuhiro Suzuki and Osamu Yamagishi and Katsumi Kondo and Noriyoshi Nakajima and Takaya Hayashi and Monticello, \{D. A.\} and Reiman, \{A. H.\}",

year = "2004",

month = mar,

doi = "10.1088/0029-5515/44/3/002",

language = "English (US)",

volume = "44",

pages = "387--394",

journal = "Nuclear Fusion",

issn = "0029-5515",

publisher = "IOP Publishing Ltd.",

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T1 - MHD equilibrium and pressure driven instability in L = 1 heliotron plasmas

AU - Nakamura, Yuji

AU - Suzuki, Yasuhiro

AU - Yamagishi, Osamu

AU - Kondo, Katsumi

AU - Nakajima, Noriyoshi

AU - Hayashi, Takaya

AU - Monticello, D. A.

AU - Reiman, A. H.

PY - 2004/3

Y1 - 2004/3

N2 - Free boundary MHD equilibrium properties of Heliotron J are investigated by VMEC, HINT and PIES codes, and ideal MHD stability properties are studied by the Mercier criterion, the ballooning mode equation and the CAS3D global stability code. It is shown by the equilibrium calculations that the change of the plasma boundary shape is substantial in a low shear helical system even if β is relatively low. Preliminary comparison between PIES results and HINT results shows that the β value at which the magnetic island begins to be perceptible is almost the same in both codes, but the island width seems to be different. It is considered that the difference comes from a difference of pressure distribution in real space which is determined through each numerical algorithm. In the stability analysis, the effect of the global magnetic shear on the three-dimensional or helical ballooning mode whose mode structure shows strong poloidal and toroidal mode (helical mode) coupling is investigated. It is found that the positive shear of the rotational transform is favourable for the three-dimensional ballooning mode stability in a low shear helical system.

AB - Free boundary MHD equilibrium properties of Heliotron J are investigated by VMEC, HINT and PIES codes, and ideal MHD stability properties are studied by the Mercier criterion, the ballooning mode equation and the CAS3D global stability code. It is shown by the equilibrium calculations that the change of the plasma boundary shape is substantial in a low shear helical system even if β is relatively low. Preliminary comparison between PIES results and HINT results shows that the β value at which the magnetic island begins to be perceptible is almost the same in both codes, but the island width seems to be different. It is considered that the difference comes from a difference of pressure distribution in real space which is determined through each numerical algorithm. In the stability analysis, the effect of the global magnetic shear on the three-dimensional or helical ballooning mode whose mode structure shows strong poloidal and toroidal mode (helical mode) coupling is investigated. It is found that the positive shear of the rotational transform is favourable for the three-dimensional ballooning mode stability in a low shear helical system.

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U2 - 10.1088/0029-5515/44/3/002

DO - 10.1088/0029-5515/44/3/002

M3 - Article

AN - SCOPUS:1842477310

SN - 0029-5515

VL - 44

SP - 387

EP - 394

JO - Nuclear Fusion

JF - Nuclear Fusion

IS - 3

ER -

MHD equilibrium and pressure driven instability in L = 1 heliotron plasmas

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