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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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
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s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C
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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 |
format | Article |
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o
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y
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s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C
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g, Proceedings of the 17th European Conference, Amsterdam, The Netherlands (European Physical Society, Petit‐Lancy, Switzerland, 1990), Vol. 14B, Part II, p. 931; T
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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><identifier>ISSN: 0899-8221</identifier><identifier>EISSN: 2163-503X</identifier><identifier>DOI: 10.1063/1.860100</identifier><identifier>CODEN: PFBPEI</identifier><language>eng</language><publisher>New York, NY: American Institute of Physics</publisher><subject>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</subject><ispartof>Physics of fluids. B, Plasma physics, 1992-06, Vol.4 (6), p.1401-1411</ispartof><rights>American Institute of Physics</rights><rights>1992 INIST-CNRS</rights><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c330t-cf927ace797c398129534767e5efc0414a8d5edb0f75757ac9643fc04dd348673</citedby><cites>FETCH-LOGICAL-c330t-cf927ace797c398129534767e5efc0414a8d5edb0f75757ac9643fc04dd348673</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://pubs.aip.org/pfb/article-lookup/doi/10.1063/1.860100$$EHTML$$P50$$Gscitation$$H</linktohtml><link.rule.ids>230,314,776,780,881,1553,27903,27904,76137</link.rule.ids><backlink>$$Uhttp://pascal-francis.inist.fr/vibad/index.php?action=getRecordDetail&idt=5409973$$DView record in Pascal Francis$$Hfree_for_read</backlink><backlink>$$Uhttps://www.osti.gov/biblio/7043060$$D View this record in Osti.gov$$Hfree_for_read</backlink></links><search><creatorcontrib>Fu, G. 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
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o
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y
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F
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s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C
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g, Proceedings of the 17th European Conference, Amsterdam, The Netherlands (European Physical Society, Petit‐Lancy, Switzerland, 1990), Vol. 14B, Part II, p. 931; T
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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 & 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. Y.</creator><creator>Cooper, W. A.</creator><creator>Gruber, R.</creator><creator>Schwenn, U.</creator><creator>Anderson, D. V.</creator><general>American Institute of Physics</general><scope>IQODW</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>OTOTI</scope></search><sort><creationdate>199206</creationdate><title>Fully three‐dimensional ideal magnetohydrodynamic stability analysis of low‐n modes and Mercier modes in stellarators</title><author>Fu, G. Y. ; Cooper, W. A. ; Gruber, R. ; Schwenn, U. ; Anderson, D. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c330t-cf927ace797c398129534767e5efc0414a8d5edb0f75757ac9643fc04dd348673</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1992</creationdate><topic>70 PLASMA PHYSICS AND FUSION TECHNOLOGY</topic><topic>ANNULAR SPACE</topic><topic>CLOSED CONFIGURATIONS</topic><topic>CLOSED PLASMA DEVICES</topic><topic>COMPUTERIZED SIMULATION</topic><topic>CONFIGURATION</topic><topic>EQUILIBRIUM</topic><topic>Exact sciences and technology</topic><topic>FLUID MECHANICS</topic><topic>HYDRODYNAMICS</topic><topic>INSTABILITY GROWTH RATES</topic><topic>Magnetic confinement and equilibrium</topic><topic>MAGNETIC FIELD CONFIGURATIONS</topic><topic>MAGNETOHYDRODYNAMICS</topic><topic>MECHANICS</topic><topic>MERCIER CRITERION</topic><topic>MHD EQUILIBRIUM</topic><topic>Physics</topic><topic>Physics of gases, plasmas and electric discharges</topic><topic>Physics of plasmas and electric discharges</topic><topic>SIMULATION</topic><topic>SPACE</topic><topic>STELLARATORS</topic><topic>THERMONUCLEAR DEVICES 700370 -- Plasma Fluid & MHD Properties-- (1992-)</topic><topic>THREE-DIMENSIONAL CALCULATIONS</topic><topic>TOROIDAL CONFIGURATION</topic><topic>TORSATRON STELLARATORS</topic><toplevel>online_resources</toplevel><creatorcontrib>Fu, G. Y.</creatorcontrib><creatorcontrib>Cooper, W. A.</creatorcontrib><creatorcontrib>Gruber, R.</creatorcontrib><creatorcontrib>Schwenn, U.</creatorcontrib><creatorcontrib>Anderson, D. V.</creatorcontrib><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>OSTI.GOV</collection><jtitle>Physics of fluids. B, Plasma physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fu, G. Y.</au><au>Cooper, W. A.</au><au>Gruber, R.</au><au>Schwenn, U.</au><au>Anderson, D. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fully three‐dimensional ideal magnetohydrodynamic stability analysis of low‐n modes and Mercier modes in stellarators</atitle><jtitle>Physics of fluids. 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
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s, Proceedings of the Joint Varenna–Lausanne International Workshop, Chexbres, Switzerland, 1988 (Editrice Compositori, Bologna, Italy, 1989), p. 93; C
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g, Proceedings of the 17th European Conference, Amsterdam, The Netherlands (European Physical Society, Petit‐Lancy, Switzerland, 1990), Vol. 14B, Part II, p. 931; T
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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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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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