Coupling extended magnetohydrodynamic fluid codes with radiofrequency ray tracing codes for fusion modeling

Jenkins, Thomas G.; Held, Eric D.

doi:10.1016/j.jcp.2015.05.035

Title: Coupling extended magnetohydrodynamic fluid codes with radiofrequency ray tracing codes for fusion modeling

Journal Article · Tue Sep 15 00:00:00 EDT 2015 · Journal of Computational Physics

DOI:https://doi.org/10.1016/j.jcp.2015.05.035· OSTI ID:1565301

^[1]; Held, Eric D. ^[2]

Tech-X Corporation, Boulder, CO (United States)
Utah State Univ., Logan, UT (United States)

Neoclassical tearing modes are macroscopic ($$L$$ ~ 1 m) instabilities in magnetic fusion experiments; if unchecked, these modes degrade plasma performance and may catastrophically destroy plasma confinement by inducing a disruption. Fortunately, the use of properly tuned and directed radiofrequency waves ($$λ$$ ~ 1 mm) can eliminate these modes. Numerical modeling of this difficult multiscale problem requires the integration of separate mathematical models for each length and time scale [T. G. Jenkins, S. E. Kruger, Phys. Plasmas 19 (2012) 122508]; the extended MHD model captures macroscopic plasma evolution while the RF model tracks the flow and deposition of injected RF power through the evolving plasma profiles. The scale separation enables use of the eikonal (ray-tracing) approximation to model the RF wave propagation. In this work we demonstrate a technique, based on methods of computational geometry, for mapping the ensuing RF data (associated with discrete ray trajectories) onto the finite-element/pseudospectral grid that is used to model the extended MHD physics. In the new representation, the RF data can then be used to construct source terms in the equations of the extended MHD model, enabling quantitative modeling of RF-induced tearing mode stabilization. Though our specific implementation uses the NIMROD extended MHD [C. R. Sovinec et al., J. Comp. Phys. 195 (2004) 355] and GENRAY RF [A. P. Smirnov, R. W. Harvey, K. Kupfer, Bull. Amer. Phys. Soc. 39 (1994) 1626] codes, the approach presented can be applied more generally to any code coupling requiring the mapping of ray tracing data onto Eulerian grids.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF); Univ. of California, Oakland, CA (United States); UT-Battelle LLC/ORNL, Oak Ridge, TN (United States); Univ. of Wisconsin, Madison, WI (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; AC05-00OR22725; FC02-06ER54899

OSTI ID:: 1565301

Alternate ID(s):: OSTI ID: 1249981

Journal Information:: Journal of Computational Physics, Vol. 297, Issue C; ISSN 0021-9991

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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References (43)

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
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
Transport effects of low (m,n) MHD modes on TFTR supershots Chang, Z.; Fredrickson, E. D.; Callen, J. D. Nuclear Fusion, Vol. 34, Issue 10 https://doi.org/10.1088/0029-5515/34/10/I03	journal	October 1994
Influence of neoclassical tearing modes on energy confinement Günter, S.; Gude, A.; Maraschek, M. Plasma Physics and Controlled Fusion, Vol. 41, Issue 6 https://doi.org/10.1088/0741-3335/41/6/306	journal	January 1999
MHD instabilities near the β limit in the doublet III-D tokamak Strait, E. J.; Lao, L.; Kellman, A. G. Physical Review Letters, Vol. 62, Issue 11 https://doi.org/10.1103/PhysRevLett.62.1282	journal	March 1989
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
High beta tokamak operation in DIII-D limited at low density/collisionality by resistive tearing modes Haye, R. J. La; Lao, L. L.; Strait, E. J. Nuclear Fusion, Vol. 37, Issue 3 https://doi.org/10.1088/0029-5515/37/3/I08	journal	March 1997
Chapter 1: Overview and summary Editors, ITER Physics Basis; Co-Chairs, ITER Physics Expert Group Chairs an; Unit, ITER Joint Central Team and Physics Nuclear Fusion, Vol. 39, Issue 12 https://doi.org/10.1088/0029-5515/39/12/301	journal	December 1999
Experiments on neoclassical tearing mode stabilization by ECCD in ASDEX Upgrade Zohm, H.; Gantenbein, G.; Giruzzi, G. Nuclear Fusion, Vol. 39, Issue 5 https://doi.org/10.1088/0029-5515/39/5/101	journal	May 1999
Complete Suppression of Neoclassical Tearing Modes with Current Drive at the Electron-Cyclotron-Resonance Frequency in ASDEX Upgrade Tokamak Gantenbein, G.; Zohm, H.; Giruzzi, G. Physical Review Letters, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevLett.85.1242	journal	August 2000
Complete stabilization of a tearing mode in steady state high-β _p H-mode discharges by the first harmonic electron cyclotron heating/current drive on JT-60U Isayama, A.; Kamada, Y.; Ide, S. Plasma Physics and Controlled Fusion, Vol. 42, Issue 12 https://doi.org/10.1088/0741-3335/42/12/102	journal	November 2000
Control of neoclassical tearing modes in DIII–D La Haye, R. J.; Günter, S.; Humphreys, D. A. Physics of Plasmas, Vol. 9, Issue 5 https://doi.org/10.1063/1.1456066	journal	May 2002
Active control for stabilization of neoclassical tearing modes Humphreys, D. A.; Ferron, J. R.; La Haye, R. J. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2173606	journal	May 2006
Stabilization and prevention of the 2/1 neoclassical tearing mode for improved performance in DIII-D Prater, R.; Haye, R. J. La; Luce, T. C. Nuclear Fusion, Vol. 47, Issue 5 https://doi.org/10.1088/0029-5515/47/5/001	journal	April 2007
Achievement of high fusion triple product, steady-state sustainment and real-time NTM stabilization in high- _p ELMy H-mode discharges in JT-60U Isayama, A.; Kamada, Y.; Hayashi, N. Nuclear Fusion, Vol. 43, Issue 10 https://doi.org/10.1088/0029-5515/43/10/031	journal	October 2003
Enhancement of the Stabilization Efficiency of a Neoclassical Magnetic Island by Modulated Electron Cyclotron Current Drive in the ASDEX Upgrade Tokamak Maraschek, M.; Gantenbein, G.; Yu, Q. Physical Review Letters, Vol. 98, Issue 2 https://doi.org/10.1103/PhysRevLett.98.025005	journal	January 2007
A closure scheme for modeling rf modifications to the fluid equations Hegna, C. C.; Callen, J. D. Physics of Plasmas, Vol. 16, Issue 11 https://doi.org/10.1063/1.3258850	journal	November 2009
Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. I. Electron theory Ramos, J. J. Physics of Plasmas, Vol. 17, Issue 8 https://doi.org/10.1063/1.3454368	journal	August 2010
Fluid and drift-kinetic description of a magnetized plasma with low collisionality and slow dynamics orderings. II. Ion theory Ramos, J. J. Physics of Plasmas, Vol. 18, Issue 10 https://doi.org/10.1063/1.3647568	journal	October 2011
Fluid equations in the presence of electron cyclotron current drive Jenkins, Thomas G.; Kruger, Scott E. Physics of Plasmas, Vol. 19, Issue 12 https://doi.org/10.1063/1.4773211	journal	December 2012
Nonlinear magnetohydrodynamics simulation using high-order finite elements Sovinec, C. R.; Glasser, A. H.; Gianakon, T. A. Journal of Computational Physics, Vol. 195, Issue 1 https://doi.org/10.1016/j.jcp.2003.10.004	journal	March 2004
Dynamics of the major disruption of a DIII-D plasma Kruger, S. E.; Schnack, D. D.; Sovinec, C. R. Physics of Plasmas, Vol. 12, Issue 5 https://doi.org/10.1063/1.1873872	journal	May 2005
Kinetic Effects of Energetic Particles on Resistive MHD Stability Takahashi, R.; Brennan, D. P.; Kim, C. C. Physical Review Letters, Vol. 102, Issue 13 https://doi.org/10.1103/PhysRevLett.102.135001	journal	March 2009
Edge localized linear ideal magnetohydrodynamic instability studies in an extended-magnetohydrodynamic code Burke, B. J.; Kruger, S. E.; Hegna, C. C. Physics of Plasmas, Vol. 17, Issue 3 https://doi.org/10.1063/1.3309732	journal	March 2010
Runaway electron confinement modelling for rapid shutdown scenarios in DIII-D, Alcator C-Mod and ITER Izzo, V. A.; Hollmann, E. M.; James, A. N. Nuclear Fusion, Vol. 51, Issue 6 https://doi.org/10.1088/0029-5515/51/6/063032	journal	May 2011
First-order finite-Larmor-radius effects on magnetic tearing in pinch configurations King, J. R.; Sovinec, C. R.; Mirnov, V. V. Physics of Plasmas, Vol. 18, Issue 4 https://doi.org/10.1063/1.3571599	journal	April 2011
Nonlocal closures for plasma fluid simulations Held, E. D.; Callen, J. D.; Hegna, C. C. Physics of Plasmas, Vol. 11, Issue 5 https://doi.org/10.1063/1.1645520	journal	May 2004
Lower hybrid current drive experiments on Alcator C-Mod: Comparison with theory and simulation Bonoli, P. T.; Ko, J.; Parker, R. Physics of Plasmas, Vol. 15, Issue 5 https://doi.org/10.1063/1.2904569	journal	May 2008
Investigation of lower hybrid physics through power modulation experiments on Alcator C-Mod Schmidt, A.; Bonoli, P. T.; Meneghini, O. Physics of Plasmas, Vol. 18, Issue 5 https://doi.org/10.1063/1.3593112	journal	May 2011
Off-midplane launch of electron Bernstein waves for current drive in overdense plasmas Forest, C. B.; Chattopadhyay, P. K.; Harvey, R. W. Physics of Plasmas, Vol. 7, Issue 5 https://doi.org/10.1063/1.873951	journal	May 2000
Power deposition by mode converted electron Bernstein waves in the DIII-D `heat pinch' experiments Forest, C. B.; Harvey, R. W.; Smirnov, A. P. Nuclear Fusion, Vol. 41, Issue 5 https://doi.org/10.1088/0029-5515/41/5/315	journal	May 2001
Finite-Larmor-radius kinetic theory of a magnetized plasma in the macroscopic flow reference frame Ramos, J. J. Physics of Plasmas, Vol. 15, Issue 8 https://doi.org/10.1063/1.2957939	journal	August 2008
Computational modeling of fully ionized magnetized plasmas using the fluid approximation Schnack, D. D.; Barnes, D. C.; Brennan, D. P. Physics of Plasmas, Vol. 13, Issue 5 https://doi.org/10.1063/1.2183738	journal	May 2006
Analysis of a mixed semi-implicit/implicit algorithm for low-frequency two-fluid plasma modeling Sovinec, C. R.; King, J. R. Journal of Computational Physics, Vol. 229, Issue 16 https://doi.org/10.1016/j.jcp.2010.04.022	journal	August 2010
Calculating electron cyclotron current drive stabilization of resistive tearing modes in a nonlinear magnetohydrodynamic model Jenkins, Thomas G.; Kruger, Scott E.; Hegna, C. C. Physics of Plasmas, Vol. 17, Issue 1 https://doi.org/10.1063/1.3276740	journal	January 2010
Geometric optics in plasmas characterized by non-Hermitian dielectric tensors Friedland, L.; Bernstein, I. B. Physical Review A, Vol. 22, Issue 4 https://doi.org/10.1103/PhysRevA.22.1680	journal	October 1980
The quickhull algorithm for convex hulls Barber, C. Bradford; Dobkin, David P.; Huhdanpaa, Hannu ACM Transactions on Mathematical Software, Vol. 22, Issue 4 https://doi.org/10.1145/235815.235821	journal	December 1996
Development of ITER-relevant plasma control solutions at DIII-D Humphreys, D. A.; Ferron, J. R.; Bakhtiari, M. Nuclear Fusion, Vol. 47, Issue 8 https://doi.org/10.1088/0029-5515/47/8/028	journal	July 2007
Algorithm 660: QSHEP2D: Quadratic Shepard Method for Bivariate Interpolation of Scattered Data Renka, Robert J. ACM Transactions on Mathematical Software, Vol. 14, Issue 2 https://doi.org/10.1145/45054.356231	journal	June 1988
Algorithm 792: accuracy test of ACM algorithms for interpolation of scattered data in the plane Renka, Robert J.; Brown, Ron ACM Transactions on Mathematical Software, Vol. 25, Issue 1 https://doi.org/10.1145/305658.305745	journal	March 1999
Creating an Asymmetric Plasma Resistivity with Waves Fisch, N. J.; Boozer, A. H. Physical Review Letters, Vol. 45, Issue 9 https://doi.org/10.1103/PhysRevLett.45.720	journal	September 1980
Verification of continuum drift kinetic equation solvers in NIMROD Held, E. D.; Kruger, S. E.; Ji, J. -Y. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4914165	journal	March 2015
Exact linearized Coulomb collision operator in the moment expansion Ji, Jeong-Young; Held, Eric D. Physics of Plasmas, Vol. 13, Issue 10 https://doi.org/10.1063/1.2356320	journal	October 2006

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Title: Coupling extended magnetohydrodynamic fluid codes with radiofrequency ray tracing codes for fusion modeling

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