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Technical Paper

Accuracy Assessment of Numerical Tracing of Three-Dimensional Magnetic Field Lines in Tokamaks with Analytical Invariants

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Pages 741-749 | Published online: 20 Mar 2017

References

  • R. MAINGI et al., “Magnetic Field Line Tracing Calculations for Conceptual PFC Design in the National Compact Stellarator Experiment,” Proc. XXXIII EPS Conf., Rome, Italy, June 19-23, 2006.
  • M. W. JAKUBOWSKI et al., “Modelling of the Magnetic Field Structures and First Measurements of Heat Fluxes for TEXTOR-DED Operation,” Nucl. Fusion, 44, S1 (2004); http://dx.doi.org/10.1088/0029-5515/44/6/S01.
  • A. PUNJABI and H. ALI, “Symplectic Approach to Calculation of Magnetic Field Line Trajectories in Physical Space with Realistic Magnetic Geometry in Divertor Toka-maks,” Phys. Plasmas, 15, 122502 (2008); http://dx.doi.org/10.1063/1.3028310.
  • F. MAVIGLIA et al., “Electromagnetic Models of Plasma Breakdown in the JET Tokamak,” IEEE Trans. Magn., 50, 2, 937 (2014); http://dx.doi.org/10.1109/TMAG.2013.2282351.
  • M. SHOJI et al., “Investigation of the Helical Divertor Function and the Future Plan of a Closed Divertor for Efficient Particle Control in the LHD Plasma Periphery,” Fusion Sci. Technol., 58, 1, 208 (2010); http://dx.doi.org/10.13182/FST10-04.
  • T. K. MAU et al., “Divertor Configuration and Heat Load Studies for the ARIES-CS Fusion Plant,” Fusion Sci. Technol., 54, 3, 771 (2008); http://dx.doi.org/10.13182/FST08-27.
  • A. BRUSCHI et al., “A New Launcher for Real-Time ECRH Experiments on FTU,” Fusion Sci. Technol., 55, 1, 94 (2009); http://dx.doi.org/10.13182/FST09-27.
  • B. D. BLACKWELL et al., “Algorithms for Real Time Magnetic Field Tracing and Optimization,” Comput. Phys. Commun., 142, 243 (2001); http://dx.doi.org/10.1016/S0010-4655(01)00326-5.
  • R. I. McLACHLAN, G. REINOUT, and G. R. W. QUISPEL, “Geometric Integrators for ODEs,” J. Phys. A: Math. Gen., 39, 5251 (2006); http://dx.doi.org/10.1088/0305-4470/39/19/S01.
  • R. I. McLACHLAN and G. R. W. QUISPEL, “Six Lectures on Geometric Integration,” Foundations of Computational Mathematics, R. DEVORE, A. ISERLES, and E. SÜLI, Eds., p. 155, Cambridge University Press, Cambridge (2001).
  • J. M. FINN and L. CHACON, “Volume Preserving Integrators for Solenoidal Fields on a Grid,” Phys. Plasmas, 12, 054503 (2005); http://dx.doi.org/10.1063/1.889156.
  • D. BONFIGLIO et al., “Magnetic Chaos Healing in the Helical Reversed-Field Pinch: Indications from the Volume-Preserving Field Line Tracing Code NEMATO,” J. Phys. Conf. Ser., 260, 012003 (2010); http://dx.doi.org/10.1088/1742-6596/260/1/012003.
  • G. CIACCIO et al., “Numerical Verification of Orbit and Nemato Codes for Magnetic Topology Diagnosis,” Phys. Plasmas, 20, 062505 (2013); http://dx.doi.org/10.1063/1.4811380.
  • R. ALBANESE et al., “Numerical Formulations for Accurate Magnetic Field Flow Tracing in Fusion Tokamaks,” Proc. 9th IET Int. Conf. Computation in Electromagnetics, London, United Kingdom, March 31-April 1 (2014); http://dx.doi.org/10.1049/cp.2014.0211.
  • J. R. DORMAND and P. J. PRINCE, “A Family of Embedded Runge-Kutta Formulae,” J. Comput. Appl. Math., 6, 19 (1980); http://dx.doi.org/10.1016/0771-050X(80)90013-3.
  • G. FEDERICI et al., “Overview of EU DEMO Design and R&D Activities,” Fusion Eng. Des., 89, 7-8, 882 (2014); http://dx.doi.org/10.1016/j.fusengdes.2014.01.070.
  • S. V. BULANOV et al., “Current Sheet Formation in Three-Dimensional Magnetic Configurations,” Phys. Plasmas, 9, 3835 (2002); http://dx.doi.org/10.1063/1.1501093.
  • M. ITAGAKI et al., “Use of a Twisted 3D Cauchy Condition Surface to Reconstruct the Last Closed Magnetic Surface in a Non-Axisymmetric Fusion Plasma,” Plasma Phys. Controlled Fusion, 54, 125003 (2012); http://dx.doi.org/10.1088/0741-3335/54/12/125003.
  • R. TSUJI, “Parallel Computing for Tracing Torus Magnetic Field Line,” Proc. Int. Conf. Parallel Computing in Electrical Engineering, Trois-Rivieres, Quebec, Canada, August 27-30, 2000, IEEE (2000).

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