Fully three‐dimensional ideal magnetohydrodynamic stability analysis of low‐n modes and Mercier modes in stellarators

The terpsichore three‐dimensional linear ideal magnetohydrodynamic (MHD) stability code [T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C o n t r o l l e d F...

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Veröffentlicht in:Physics of fluids. B, Plasma physics Plasma physics, 1992-06, Vol.4 (6), p.1401-1411
Hauptverfasser: Fu, G. Y., Cooper, W. A., Gruber, R., Schwenn, U., Anderson, D. V.
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container_issue 6
container_start_page 1401
container_title Physics of fluids. B, Plasma physics
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creator Fu, G. Y.
Cooper, W. A.
Gruber, R.
Schwenn, U.
Anderson, D. V.
description The terpsichore three‐dimensional linear ideal magnetohydrodynamic (MHD) stability code [T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C o n t r o l l e d F u s i o n a n d P l a s m a H e a t i n g, Proceedings of the 17th European Conference, Amsterdam, The Netherlands (European Physical Society, Petit‐Lancy, Switzerland, 1990), Vol. 14B, Part II, p. 931; T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Valla Monastero, Varenna, Italy, 1990 (Editrice Compositori, Bologna, Italy, 1990), p. 655] has been extended to the full MHD equations. The new code is used to calculate the physical growth rates of nonlocal low‐n modes for l=2 torsatron configurations. A comprehensive investigation of the relation between the Mercier modes and the low‐n modes has been performed. The unstable localized low‐n modes are found to be correlated with the Mercier criterion. Finite growth rates of the low‐n modes correspond to finite values of the Mercier criterion parameter. Near the Mercier marginal stability boundary, the low‐n modes tend to be weakly unstable with very small growth rates. However, the stability of global‐type low‐n modes is found to be decorrelated from that of Mercier modes. The low‐n modes with global radial structures can be more stable or more unstable than Mercier modes.
doi_str_mv 10.1063/1.860100
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The new code is used to calculate the physical growth rates of nonlocal low‐n modes for l=2 torsatron configurations. A comprehensive investigation of the relation between the Mercier modes and the low‐n modes has been performed. The unstable localized low‐n modes are found to be correlated with the Mercier criterion. Finite growth rates of the low‐n modes correspond to finite values of the Mercier criterion parameter. Near the Mercier marginal stability boundary, the low‐n modes tend to be weakly unstable with very small growth rates. However, the stability of global‐type low‐n modes is found to be decorrelated from that of Mercier modes. 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Y.</creatorcontrib><creatorcontrib>Cooper, W. A.</creatorcontrib><creatorcontrib>Gruber, R.</creatorcontrib><creatorcontrib>Schwenn, U.</creatorcontrib><creatorcontrib>Anderson, D. V.</creatorcontrib><title>Fully three‐dimensional ideal magnetohydrodynamic stability analysis of low‐n modes and Mercier modes in stellarators</title><title>Physics of fluids. B, Plasma physics</title><description>The terpsichore three‐dimensional linear ideal magnetohydrodynamic (MHD) stability code [T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C o n t r o l l e d F u s i o n a n d P l a s m a H e a t i n g, Proceedings of the 17th European Conference, Amsterdam, The Netherlands (European Physical Society, Petit‐Lancy, Switzerland, 1990), Vol. 14B, Part II, p. 931; T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Valla Monastero, Varenna, Italy, 1990 (Editrice Compositori, Bologna, Italy, 1990), p. 655] has been extended to the full MHD equations. The new code is used to calculate the physical growth rates of nonlocal low‐n modes for l=2 torsatron configurations. A comprehensive investigation of the relation between the Mercier modes and the low‐n modes has been performed. The unstable localized low‐n modes are found to be correlated with the Mercier criterion. Finite growth rates of the low‐n modes correspond to finite values of the Mercier criterion parameter. Near the Mercier marginal stability boundary, the low‐n modes tend to be weakly unstable with very small growth rates. However, the stability of global‐type low‐n modes is found to be decorrelated from that of Mercier modes. The low‐n modes with global radial structures can be more stable or more unstable than Mercier modes.</description><subject>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</subject><subject>ANNULAR SPACE</subject><subject>CLOSED CONFIGURATIONS</subject><subject>CLOSED PLASMA DEVICES</subject><subject>COMPUTERIZED SIMULATION</subject><subject>CONFIGURATION</subject><subject>EQUILIBRIUM</subject><subject>Exact sciences and technology</subject><subject>FLUID MECHANICS</subject><subject>HYDRODYNAMICS</subject><subject>INSTABILITY GROWTH RATES</subject><subject>Magnetic confinement and equilibrium</subject><subject>MAGNETIC FIELD CONFIGURATIONS</subject><subject>MAGNETOHYDRODYNAMICS</subject><subject>MECHANICS</subject><subject>MERCIER CRITERION</subject><subject>MHD EQUILIBRIUM</subject><subject>Physics</subject><subject>Physics of gases, plasmas and electric discharges</subject><subject>Physics of plasmas and electric discharges</subject><subject>SIMULATION</subject><subject>SPACE</subject><subject>STELLARATORS</subject><subject>THERMONUCLEAR DEVICES 700370 -- Plasma Fluid &amp; MHD Properties-- (1992-)</subject><subject>THREE-DIMENSIONAL CALCULATIONS</subject><subject>TOROIDAL CONFIGURATION</subject><subject>TORSATRON STELLARATORS</subject><issn>0899-8221</issn><issn>2163-503X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1992</creationdate><recordtype>article</recordtype><recordid>eNp90MFq3DAQBmARWshmE8gjmJBDcnAysmzLOobQbQspubSQm9FK46yCLC2SkuJbHqHP2CeJFi97KRSBBJpP_6Ah5JzCDYWW3dKbrgUKcEQWFW1Z2QB7-kQW0AlRdlVFj8lJjC8AVU3rZkGm1au1U5E2AfHv-x9tRnTReCdtYTTmfZTPDpPfTDp4PTk5GlXEJNfGmjQVMsMpmlj4obD-d05wxeg1xlzRxQ8MymDY3xiXH6K1MsjkQzwlnwdpI57tzyX5tfry8_5b-fD49fv93UOpGINUqkFUXCrkgismOlqJhtW85djgoCB_Qna6Qb2GgTd5SSXamu0qWrO6azlbkos518dk-qhMQrVR3jlUqedQM2gho6sZqeBjDDj022BGGaaeQr-ba0_7ea6ZXs50K6OSdgjSKRMPvqlBCM4yu57ZrqNMeaQH8ubDIa7f6uF_9p_2H5TJlp8</recordid><startdate>199206</startdate><enddate>199206</enddate><creator>Fu, G. 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B, Plasma physics</jtitle><date>1992-06</date><risdate>1992</risdate><volume>4</volume><issue>6</issue><spage>1401</spage><epage>1411</epage><pages>1401-1411</pages><issn>0899-8221</issn><eissn>2163-503X</eissn><coden>PFBPEI</coden><abstract>The terpsichore three‐dimensional linear ideal magnetohydrodynamic (MHD) stability code [T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C o n t r o l l e d F u s i o n a n d P l a s m a H e a t i n g, Proceedings of the 17th European Conference, Amsterdam, The Netherlands (European Physical Society, Petit‐Lancy, Switzerland, 1990), Vol. 14B, Part II, p. 931; T h e o r y o f F u s i o n P l a s m a s, Proceedings of the Joint Varenna–Lausanne International Workshop, Valla Monastero, Varenna, Italy, 1990 (Editrice Compositori, Bologna, Italy, 1990), p. 655] has been extended to the full MHD equations. The new code is used to calculate the physical growth rates of nonlocal low‐n modes for l=2 torsatron configurations. A comprehensive investigation of the relation between the Mercier modes and the low‐n modes has been performed. The unstable localized low‐n modes are found to be correlated with the Mercier criterion. Finite growth rates of the low‐n modes correspond to finite values of the Mercier criterion parameter. Near the Mercier marginal stability boundary, the low‐n modes tend to be weakly unstable with very small growth rates. However, the stability of global‐type low‐n modes is found to be decorrelated from that of Mercier modes. The low‐n modes with global radial structures can be more stable or more unstable than Mercier modes.</abstract><cop>New York, NY</cop><pub>American Institute of Physics</pub><doi>10.1063/1.860100</doi><tpages>11</tpages></addata></record>
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ispartof Physics of fluids. B, Plasma physics, 1992-06, Vol.4 (6), p.1401-1411
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language eng
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subjects 70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANNULAR SPACE
CLOSED CONFIGURATIONS
CLOSED PLASMA DEVICES
COMPUTERIZED SIMULATION
CONFIGURATION
EQUILIBRIUM
Exact sciences and technology
FLUID MECHANICS
HYDRODYNAMICS
INSTABILITY GROWTH RATES
Magnetic confinement and equilibrium
MAGNETIC FIELD CONFIGURATIONS
MAGNETOHYDRODYNAMICS
MECHANICS
MERCIER CRITERION
MHD EQUILIBRIUM
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
SIMULATION
SPACE
STELLARATORS
THERMONUCLEAR DEVICES 700370 -- Plasma Fluid & MHD Properties-- (1992-)
THREE-DIMENSIONAL CALCULATIONS
TOROIDAL CONFIGURATION
TORSATRON STELLARATORS
title Fully three‐dimensional ideal magnetohydrodynamic stability analysis of low‐n modes and Mercier modes in stellarators
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