The effect of sheared toroidal rotation on pressure driven magnetic islands in toroidal plasmas

Hegna, C. C.

doi:10.1063/1.4952627

Title: The effect of sheared toroidal rotation on pressure driven magnetic islands in toroidal plasmas

Journal Article · Wed May 25 00:00:00 EDT 2016 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.4952627· OSTI ID:1471501

^[1]

Univ. of Wisconsin, Madison, WI (United States). Dept. of Engineering Physics and Physics

The impact of sheared toroidal rotation on the evolution of pressure driven magnetic islands in tokamak plasmas is investigated using a resistive magnetohydrodynamics model augmented by a neoclassical Ohm’s law. Particular attention is paid to the asymptotic matching data as the Mercier indices are altered in the presence of sheared flow. Analysis of the nonlinear island Grad- Shafranov equation shows that sheared flows tend to amplify the stabilizing pressure/curvature contribution to pressure driven islands in toroidal tokamaks relative to the island bootstrap current contribution. Finally, as such, sheared toroidal rotation tends to reduce saturated magnetic island widths.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG02-86ER53218; FG02-92ER54139

OSTI ID:: 1471501

Alternate ID(s):: OSTI ID: 1254365

Journal Information:: Physics of Plasmas, Vol. 23, Issue 5; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 2 works

Citation information provided by
Web of Science

References (48)

Resistive tearing modes in the presence of equilibrium flows Bondeson, A.; Persson, M. Physics of Fluids, Vol. 29, Issue 9 https://doi.org/10.1063/1.865498	journal	September 1986
Tearing mode stability with equilibrium flows in the reversed-field pinch Gatto, R.; Terry, P. W.; Hegna, C. C. Nuclear Fusion, Vol. 42, Issue 5 https://doi.org/10.1088/0029-5515/42/5/302	journal	May 2002
Tearing modes in toroidal geometry Connor, J. W.; Cowley, S. C.; Hastie, R. J. Physics of Fluids, Vol. 31, Issue 3 https://doi.org/10.1063/1.866840	journal	January 1988
A threshold for excitation of neoclassical tearing modes Gorelenkov, N. N.; Budny, R. V.; Chang, Z. Physics of Plasmas, Vol. 3, Issue 9 https://doi.org/10.1063/1.871614	journal	September 1996
Threshold for neoclassical magnetic islands in a low collision frequency tokamak Wilson, H. R.; Connor, J. W.; Hastie, R. J. Physics of Plasmas, Vol. 3, Issue 1 https://doi.org/10.1063/1.871830	journal	January 1996
Helical temperature perturbations associated with tearing modes in tokamak plasmas Fitzpatrick, Richard Physics of Plasmas, Vol. 2, Issue 3 https://doi.org/10.1063/1.871434	journal	March 1995
Toroidal flow and radial particle flux in tokamak plasmas Callen, J. D.; Cole, A. J.; Hegna, C. C. Physics of Plasmas, Vol. 16, Issue 8 https://doi.org/10.1063/1.3206976	journal	August 2009
Beta limits in long-pulse tokamak discharges Sauter, O.; La Haye, R. J.; Chang, Z. Physics of Plasmas, Vol. 4, Issue 5 https://doi.org/10.1063/1.872270	journal	May 1997
Symmetry-Breaking Induced Transport in the Vicinity of a Magnetic Island Shaing, K. C. Physical Review Letters, Vol. 87, Issue 24 https://doi.org/10.1103/PhysRevLett.87.245003	journal	November 2001
Momentum Transport from Nonlinear Mode Coupling of Magnetic Fluctuations Hansen, A. K.; Almagri, A. F.; Craig, D. Physical Review Letters, Vol. 85, Issue 16 https://doi.org/10.1103/PhysRevLett.85.3408	journal	October 2000
Transport equations in tokamak plasmas Callen, J. D.; Hegna, C. C.; Cole, A. J. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3335486	journal	May 2010
Survey of disruption causes at JET de Vries, P. C.; Johnson, M. F.; Alper, B. Nuclear Fusion, Vol. 51, Issue 5 https://doi.org/10.1088/0029-5515/51/5/053018	journal	April 2011
Modelling and analytic studies of sheared flow effects on tearing modes Chandra, D.; Thyagaraja, A.; Sen, A. Nuclear Fusion, Vol. 55, Issue 5 https://doi.org/10.1088/0029-5515/55/5/053016	journal	April 2015
Stabilization of the Mercier modes in a tokamak by toroidal plasma rotation Wahlberg, C.; Bondeson, A. Physics of Plasmas, Vol. 8, Issue 8 https://doi.org/10.1063/1.1380234	journal	August 2001
Nonlinear evolution of tearing modes in inhomogeneous plasmas Smolyakov, A. I. Plasma Physics and Controlled Fusion, Vol. 35, Issue 6 https://doi.org/10.1088/0741-3335/35/6/002	journal	June 1993
Nonlinear tearing mode interactions and mode locking in reversed‐field pinches Hegna, C. C. Physics of Plasmas, Vol. 3, Issue 12 https://doi.org/10.1063/1.872033	journal	December 1996
Nonlinear growth of the tearing mode Rutherford, P. H. Physics of Fluids, Vol. 16, Issue 11 https://doi.org/10.1063/1.1694232	journal	January 1973
Nonlinear dynamics of pressure driven magnetic islands in low aspect ratio tokamaks Hegna, C. C. Physics of Plasmas, Vol. 6, Issue 10 https://doi.org/10.1063/1.873661	journal	October 1999
Rotation and Locking of Magnetic Islands Waelbroeck, F. L.; Fitzpatrick, R. Physical Review Letters, Vol. 78, Issue 9 https://doi.org/10.1103/PhysRevLett.78.1703	journal	March 1997
Effect of toroidal rotation on the localized modes in low beta circular tokamaks Zheng, L. -J.; Chu, M. S.; Chen, Liu Physics of Plasmas, Vol. 6, Issue 4 https://doi.org/10.1063/1.873365	journal	April 1999
Resistive tearing instability with equilibrium shear flow Chen, X. L.; Morrison, P. J. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 3 https://doi.org/10.1063/1.859339	journal	March 1990
Influence of equilibrium shear flow along the magnetic field on the resistive tearing instability Paris, R. B. Physics of Fluids, Vol. 26, Issue 10 https://doi.org/10.1063/1.864061	journal	January 1983
Aspect ratio effects on neoclassical tearing modes from comparison between DIII-D and National Spherical Torus Experiment La Haye, R. J.; Buttery, R. J.; Gerhardt, S. P. Physics of Plasmas, Vol. 19, Issue 6 https://doi.org/10.1063/1.4729658	journal	June 2012
Drift-tearing magnetic islands in tokamak plasmas Fitzpatrick, R.; Waelbroeck, F. L. Physics of Plasmas, Vol. 15, Issue 1 https://doi.org/10.1063/1.2829757	journal	January 2008
Resistive instabilities in a tokamak Glasser, A. H.; Greene, J. M.; Johnson, J. L. Physics of Fluids, Vol. 19, Issue 4 https://doi.org/10.1063/1.861490	journal	January 1976
Geometrical influences on neoclassical magnetohydrodynamic tearing modes Kruger, S. E.; Hegna, C. C.; Callen, J. D. Physics of Plasmas, Vol. 5, Issue 2 https://doi.org/10.1063/1.872738	journal	February 1998
The stabilizing effect of flow shear on m/n=3/2 magnetic island width in DIII-D La Haye, R. J.; Buttery, R. J. Physics of Plasmas, Vol. 16, Issue 2 https://doi.org/10.1063/1.3077673	journal	February 2009
Effect of sheared flows on classical and neoclassical tearing modes Chandra, D.; Sen, A.; Kaw, P. Nuclear Fusion, Vol. 45, Issue 6 https://doi.org/10.1088/0029-5515/45/6/015	journal	May 2005
The effect of viscosity on the resistive tearing mode with the presence of shear flow Chen, X. L.; Morrison, P. J. Physics of Fluids B: Plasma Physics, Vol. 2, Issue 11 https://doi.org/10.1063/1.859382	journal	November 1990
Relationship between onset thresholds, trigger types and rotation shear for the m / n = 2/1 neoclassical tearing mode in a high-β spherical torus Gerhardt, S. P.; Brennan, D. P.; Buttery, R. Nuclear Fusion, Vol. 49, Issue 3 https://doi.org/10.1088/0029-5515/49/3/032003	journal	March 2009
Resistive instabilities in general toroidal plasma configurations Glasser, A. H.; Greene, J. M.; Johnson, J. L. Physics of Fluids, Vol. 18, Issue 7 https://doi.org/10.1063/1.861224	journal	January 1975
Observation of Nonlinear Neoclassical Pressure-Gradient–Driven Tearing Modes in TFTR Chang, Z.; Callen, J. D.; Fredrickson, E. D. Physical Review Letters, Vol. 74, Issue 23 https://doi.org/10.1103/PhysRevLett.74.4663	journal	June 1995
The influence of rotation on the βN threshold for the 2∕1 neoclassical tearing mode in DIII-D Buttery, R. J.; La Haye, R. J.; Gohil, P. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2894215	journal	May 2008
Islands in the stream: The effect of plasma flow on tearing stability La Haye, R. J.; Brennan, D. P.; Buttery, R. J. Physics of Plasmas, Vol. 17, Issue 5 https://doi.org/10.1063/1.3333538	journal	May 2010
Computational modeling of neoclassical and resistive magnetohydrodynamic tearing modes in tokamaks Gianakon, T. A.; Hegna, C. C.; Callen, J. D. Physics of Plasmas, Vol. 3, Issue 12 https://doi.org/10.1063/1.871587	journal	December 1996
Interaction of bootstrap‐current‐driven magnetic islands Hegna, C. C.; Callen, J. D. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 7 https://doi.org/10.1063/1.860039	journal	March 1992
Influence of plasma flow shear on tearing in DIII-D hybrids La Haye, R. J.; Petty, C. C.; Politzer, P. A. Nuclear Fusion, Vol. 51, Issue 5 https://doi.org/10.1088/0029-5515/51/5/053013	journal	April 2011
Effect of local E×B flow shear on the stability of magnetic islands in tokamak plasmas Fitzpatrick, R.; Waelbroeck, F. L. Physics of Plasmas, Vol. 16, Issue 5 https://doi.org/10.1063/1.3126964	journal	May 2009
Neoclassical tearing modes and their control La Haye, R. J. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2180747	journal	May 2006
Shear flow destabilization of a slowly rotating tokamak Chu, M. S. Physics of Plasmas, Vol. 5, Issue 1 https://doi.org/10.1063/1.872687	journal	January 1998
Curvature effects on the dynamics of tearing modes in tokamaks Lütjens, Hinrich; Luciani, Jean-François; Garbet, Xavier Physics of Plasmas, Vol. 8, Issue 10 https://doi.org/10.1063/1.1399056	journal	October 2001
Dynamical origin of shear flow induced modifications of magnetic islands Chandra, D.; Sen, A.; Kaw, P. Nuclear Fusion, Vol. 47, Issue 9 https://doi.org/10.1088/0029-5515/47/9/021	journal	August 2007
Resistive tearing modes in a sheet pinch with shear flow Hofman, I. Plasma Physics, Vol. 17, Issue 2 https://doi.org/10.1088/0032-1028/17/2/005	journal	February 1975
The physics of neoclassical magnetohydrodynamic tearing modes Hegna, C. C. Physics of Plasmas, Vol. 5, Issue 5 https://doi.org/10.1063/1.872846	journal	May 1998
Nonlinear dynamics of magnetic islands with curvature and pressure Kotschenreuther, M.; Hazeltine, R. D.; Morrison, P. J. Physics of Fluids, Vol. 28, Issue 1 https://doi.org/10.1063/1.865200	journal	January 1985
Local magnetohydrodynamic instabilities of cylindrical plasma with sheared equilibrium flows Bondeson, A.; Iacono, R.; Bhattacharjee, A. Physics of Fluids, Vol. 30, Issue 7 https://doi.org/10.1063/1.866151	journal	January 1987
Island bootstrap current modification of the nonlinear dynamics of the tearing mode Carrera, R.; Hazeltine, R. D.; Kotschenreuther, M. Physics of Fluids, Vol. 29, Issue 4 https://doi.org/10.1063/1.865682	journal	January 1986
Tearing mode stability in a toroidally flowing plasma Sen, A.; Chandra, D.; Kaw, P. Nuclear Fusion, Vol. 53, Issue 5 https://doi.org/10.1088/0029-5515/53/5/053006	journal	April 2013

Cited By (1)

Impact of neoclassical tearing mode–turbulence multi-scale interaction in global confinement degradation and magnetic island stability Bardóczi, L.; Carter, T. A.; La Haye, R. J. Physics of Plasmas, Vol. 24, Issue 12 https://doi.org/10.1063/1.5004987	journal	December 2017

Similar Records

The effect of sheared toroidal rotation on pressure driven magnetic islands in toroidal plasmas

Journal Article · Sun May 15 00:00:00 EDT 2016 · Physics of Plasmas · OSTI ID:1471501

Hegna, C. C.

Transport equations in tokamak plasmas

Journal Article · Sat May 15 00:00:00 EDT 2010 · Physics of Plasmas · OSTI ID:1471501

Callen, J D; Hegna, C C; Cole, A J

Rotation profile flattening and toroidal flow shear reversal due to the coupling of magnetic islands in tokamaks

Journal Article · Fri Apr 15 00:00:00 EDT 2016 · Physics of Plasmas · OSTI ID:1471501

Tobias, B.; Chen, M.; Classen, I. G. J.; +8 more

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY

Title: The effect of sheared toroidal rotation on pressure driven magnetic islands in toroidal plasmas

Citation Formats

References (48)

Cited By (1)

Similar Records

Related Subjects