TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications

Poli, E.; Bock, A.; Lochbrunner, M.; Maj, O.; Reich, M.; Snicker, A.; Stegmeir, A.; Volpe, F.; Bertelli, N.; Bilato, R.; Conway, G. D.; Farina, D.; Felici, F.; Figini, L.; Fischer, R.; Galperti, C.; Happel, T.; Lin-Liu, Y. R.; Marushchenko, N. B.; Mszanowski, U.; Poli, F. M.; Stober, J.; Westerhof, E.; Zille, R.; Peeters, A. G.; Pereverzev, G. V.

doi:10.1016/j.cpc.2017.12.018

Title: TORBEAM 2.0, a paraxial beam tracing code for electron-cyclotron beams in fusion plasmas for extended physics applications

Journal Article · Mon Jan 08 00:00:00 EST 2018 · Computer Physics Communications

DOI:https://doi.org/10.1016/j.cpc.2017.12.018· OSTI ID:1465668

Poli, E. ^[1]; Bock, A. ^[1]; Lochbrunner, M. ^[1]; Maj, O. ^[1]; Reich, M. ^[1]; Snicker, A. ^[2]; Stegmeir, A. ^[1]; Volpe, F. ^[3]; Bertelli, N. ^[4]; Bilato, R. ^[1]; Conway, G. D. ^[1]; Farina, D. ^[5]; Felici, F. ^[6]; Figini, L. ^[5]; Fischer, R. ^[1]; Galperti, C. ^[6]; Happel, T. ^[1]; Lin-Liu, Y. R. ^[7]; Marushchenko, N. B. ^[8]; Mszanowski, U. ^[1] more »

Max Planck Inst. for Plasma Physics, Garching (Germany)
Max Planck Inst. for Plasma Physics, Garching (Germany); Aalto Univ., Otaniemi (Finland). Dept. of Applied Physics
Columbia Univ., New York, NY (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Inst. of Plasma Physics (IFP), CNR, Milan (Italy)
Federal Inst. of Technology, Lausanne (Switzerland). Swiss Plasma Center (SPC)
National Central Univ., Taoyuan City (Taiwan). Dept. of Physics and Center for Mathematics and Theoretical Physics
Max Planck Inst. for Plasma Physics, Greifswald (Germany)
Dutch Inst. for Fundamental Energy Research (DIFFER), Nieuwegein (Netherlands)
Univ. of Bayreuth (Germany). Dept. of Physics and Theoretical Physics

The paraxial WKB code TORBEAM (Poli, 2001) is widely used for the description of electron-cyclotron waves in fusion plasmas, retaining diffraction effects through the solution of a set of ordinary differential equations. With respect to its original form, the code has undergone significant transformations and extensions, in terms of both the physical model and the spectrum of applications. The code has been rewritten in Fortran 90 and transformed into a library, which can be called from within different (not necessarily Fortran-based) workflows. The models for both absorption and current drive have been extended, including e.g. fully-relativistic calculation of the absorption coefficient, momentum conservation in electron–electron collisions and the contribution of more than one harmonic to current drive. The code can be run also for reflectometry applications, with relativistic corrections for the electron mass. Formulas that provide the coupling between the reflected beam and the receiver have been developed. Accelerated versions of the code are available, with the reduced physics goal of inferring the location of maximum absorption (including or not the total driven current) for a given setting of the launcher mirrors. Optionally, plasma volumes within given flux surfaces and corresponding values of minimum and maximum magnetic field can be provided externally to speed up the calculation of full driven-current profiles. These can then be employed in real-time control algorithms or for fast data analysis.

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Research Organization:: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE

Contributing Organization:: Max Planck Computing and Data Facility (MPCDF), Garching (Germany)

Grant/Contract Number:: AC02-09CH11466

OSTI ID:: 1465668

Alternate ID(s):: OSTI ID: 1548832

Journal Information:: Computer Physics Communications, Vol. 225, Issue C; ISSN 0010-4655

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 40 works

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References (45)

Beam tracing in inhomogeneous anisotropic plasmas Pereverzev, G. V. Physics of Plasmas, Vol. 5, Issue 10 https://doi.org/10.1063/1.873070	journal	October 1998
TORBEAM, a beam tracing code for electron-cyclotron waves in tokamak plasmas Poli, E.; Peeters, A. G.; Pereverzev, G. V. Computer Physics Communications, Vol. 136, Issue 1-2 https://doi.org/10.1016/S0010-4655(01)00146-1	journal	May 2001
Performance, heating and current drive scenarios of ASDEX Upgrade advanced tokamak discharges Wolf, R. C.; Hobirk, J.; Conway, G. D. Nuclear Fusion, Vol. 41, Issue 9 https://doi.org/10.1088/0029-5515/41/9/315	journal	September 2001
Overview of ASDEX Upgrade results—development of integrated operating scenarios for ITER Günter, S.; Angioni, C.; Apostoliceanu, M. Nuclear Fusion, Vol. 45, Issue 10 https://doi.org/10.1088/0029-5515/45/10/S08	journal	October 2005
Feasibility of electron Bernstein wave coupling via O-X-B mode conversion in the RFX-mod reversed field pinch device Bilato, R.; Volpe, F.; Köhn, A. Nuclear Fusion, Vol. 49, Issue 7 https://doi.org/10.1088/0029-5515/49/7/075020	journal	June 2009
EU developments of the ITER ECRH system Henderson, M. A.; Alberti, S.; Benin, P. Fusion Engineering and Design, Vol. 82, Issue 5-14 https://doi.org/10.1016/j.fusengdes.2007.01.029	journal	October 2007
Electron-cyclotron-current-drive efficiency in DEMO plasmas Poli, E.; Tardini, G.; Zohm, H. Nuclear Fusion, Vol. 53, Issue 1 https://doi.org/10.1088/0029-5515/53/1/013011	journal	December 2012
Assessment of the ITER electron cyclotron upper launcher capabilities in view of an optimized design Figini, L.; Farina, D.; Henderson, M. Plasma Physics and Controlled Fusion, Vol. 57, Issue 5 https://doi.org/10.1088/0741-3335/57/5/054015	journal	April 2015
Interaction of Mean and Oscillating Plasma Flows Across Confinement Mode Transitions Conway, Garrard D.; Poli, Emanuele; Happel, Tim Plasma and Fusion Research, Vol. 5 https://doi.org/10.1585/pfr.5.S2005	journal	January 2010
Analysis of the ITER low field side reflectometer employing the Beam Tracing Method Stegmeir, A.; Conway, G. D.; Poli, E. Fusion Engineering and Design, Vol. 86, Issue 12 https://doi.org/10.1016/j.fusengdes.2011.07.006	journal	December 2011
2D Doppler backscattering using synthetic aperture microwave imaging of MAST edge plasmas Thomas, D. A.; Brunner, K. J.; Freethy, S. J. Nuclear Fusion, Vol. 56, Issue 2 https://doi.org/10.1088/0029-5515/56/2/026013	journal	January 2016
Stationary Zonal Flows during the Formation of the Edge Transport Barrier in the JET Tokamak Hillesheim, J. C.; Delabie, E.; Meyer, H. Physical Review Letters, Vol. 116, Issue 6 https://doi.org/10.1103/PhysRevLett.116.065002	journal	February 2016
Use of the multidimensional WKB method to describe propagation of lower hybrid waves in tokamak plasma Pereverzev, G. V. Nuclear Fusion, Vol. 32, Issue 7 https://doi.org/10.1088/0029-5515/32/7/I01	journal	July 1992
Paraxial Wentzel–Kramers–Brillouin method applied to the lower hybrid wave propagation Bertelli, N.; Maj, O.; Poli, E. Physics of Plasmas, Vol. 19, Issue 8 https://doi.org/10.1063/1.4745870	journal	August 2012
Benchmarking of codes for electron cyclotron heating and electron cyclotron current drive under ITER conditions Prater, R.; Farina, D.; Gribov, Yu. Nuclear Fusion, Vol. 48, Issue 3 https://doi.org/10.1088/0029-5515/48/3/035006	journal	January 2008
The European Integrated Tokamak Modelling (ITM) effort: achievements and first physics results Falchetto, G. L.; Coster, D.; Coelho, R. Nuclear Fusion, Vol. 54, Issue 4 https://doi.org/10.1088/0029-5515/54/4/043018	journal	March 2014
Benchmarking of electron cyclotron heating and current drive codes on ITER scenarios within the European Integrated Tokamak Modelling framework Figini, L.; Decker, J.; Farina, D. EPJ Web of Conferences, Vol. 32 https://doi.org/10.1051/epjconf/20123201011	journal	January 2012
Real-time beam tracing for control of the deposition location of electron cyclotron waves Reich, M.; Bilato, R.; Mszanowski, U. Fusion Engineering and Design, Vol. 100 https://doi.org/10.1016/j.fusengdes.2015.04.024	journal	November 2015
Electron cyclotron current drive calculated for ITER conditions using different models Marushchenko, N. B.; Maassberg, H.; Turkin, Yu. Nuclear Fusion, Vol. 48, Issue 5 https://doi.org/10.1088/0029-5515/48/5/054002	journal	April 2008
Corrections to the paper ‘electron cyclotron current drive calculated for ITER conditions using different models’ (2008 Nucl. Fusion 48 054002) Marushchenko, N. B.; Maassberg, H.; Turkin, Yu. Nuclear Fusion, Vol. 49, Issue 12 https://doi.org/10.1088/0029-5515/49/12/129801	journal	November 2009
Electron cyclotron current drive in low collisionality limit: On parallel momentum conservation Marushchenko, N. B.; Beidler, C. D.; Kasilov, S. V. Physics of Plasmas, Vol. 18, Issue 3 https://doi.org/10.1063/1.3558584	journal	March 2011
Coupling the beam tracing code TORBEAM and the Fokker-Planck solver RELAX for fast electrons Maj, O.; Poli, E.; Westerhof, E. Journal of Physics: Conference Series, Vol. 401 https://doi.org/10.1088/1742-6596/401/1/012013	journal	December 2012
Relativistic effects on microwave reflectometry Mazzucato, E. Physics of Fluids B: Plasma Physics, Vol. 4, Issue 10 https://doi.org/10.1063/1.860354	journal	October 1992
Relativistic expressions for plasma cutoffs Bindslev, H. Plasma Physics and Controlled Fusion, Vol. 35, Issue 9 https://doi.org/10.1088/0741-3335/35/9/002	journal	September 1993
Paraxial Gaussian wave beam propagation in an anisotropic inhomogeneous plasma Poli, E.; Pereverzev, G. V.; Peeters, A. G. Physics of Plasmas, Vol. 6, Issue 1 https://doi.org/10.1063/1.873254	journal	January 1999
EC beam tracing in fusion plasmas Poli, E.; Pereverzev, G. V.; Peeters, A. G. Fusion Engineering and Design, Vol. 53, Issue 1-4 https://doi.org/10.1016/S0920-3796(00)00471-3	journal	January 2001
Validation of the paraxial beam-tracing method in critical cases Maj, Omar; Pereverzev, Grigory V.; Poli, Emanuele Physics of Plasmas, Vol. 16, Issue 6 https://doi.org/10.1063/1.3155449	journal	June 2009
Effects of aberration on paraxial wave beams: beam tracing versus quasi-optical solutions Maj, O.; Balakin, A. A.; Poli, E. Plasma Physics and Controlled Fusion, Vol. 52, Issue 8 https://doi.org/10.1088/0741-3335/52/8/085006	journal	June 2010
LSODE and LSODI, two new initial value ordinary differnetial equation solvers Hindmarsh, Alan C. ACM SIGNUM Newsletter, Vol. 15, Issue 4 https://doi.org/10.1145/1218052.1218054	journal	December 1980
Boundary conditions for a Gaussian wave beam Poli, E.; Peeters, A. G.; Pereverzev, G. V. Physics of Plasmas, Vol. 8, Issue 10 https://doi.org/10.1063/1.1401116	journal	October 2001
A Quasi-Optical Beam-Tracing Code for Electron Cyclotron Absorption and Current Drive: GRAY Farina, Daniela Fusion Science and Technology, Vol. 52, Issue 2 https://doi.org/10.13182/FST07-A1494	journal	August 2007
Electron cyclotron current drive efficiency in general tokamak geometry Lin-Liu, Y. R.; Chan, V. S.; Prater, R. Physics of Plasmas, Vol. 10, Issue 10 https://doi.org/10.1063/1.1610472	journal	October 2003
Scattering of diffracting beams of electron cyclotron waves by random density fluctuations in inhomogeneous plasmas Weber, Hannes; Maj, Omar; Poli, Emanuele EPJ Web of Conferences, Vol. 87 https://doi.org/10.1051/epjconf/20158701002	journal	January 2015
The wave energy flux of high frequency diffracting beams in complex geometrical optics Maj, Omar; Mariani, Alberto; Poli, Emanuele Physics of Plasmas, Vol. 20, Issue 4 https://doi.org/10.1063/1.4802935	journal	April 2013
Propagation of a Gaussian beam in a nonhomogeneous plasma Mazzucato, E. Physics of Fluids B: Plasma Physics, Vol. 1, Issue 9 https://doi.org/10.1063/1.858917	journal	September 1989
Radio frequency current generation by waves in toroidal geometry Antonsen, T. M. Physics of Fluids, Vol. 25, Issue 8 https://doi.org/10.1063/1.863906	journal	January 1982
On recent results in the modelling of neoclassical-tearing-mode stabilization via electron cyclotron current drive and their impact on the design of the upper EC launcher for ITER Poli, E.; Angioni, C.; Casson, F. J. Nuclear Fusion, Vol. 55, Issue 1 https://doi.org/10.1088/0029-5515/55/1/013023	journal	January 2015
Electron cyclotron resonance heating and current drive in the W7-X stellarator Romé, M.; Erckmann, V.; Gasparino, U. Plasma Physics and Controlled Fusion, Vol. 40, Issue 4 https://doi.org/10.1088/0741-3335/40/4/006	journal	April 1998
Real-time physics-model-based simulation of the current density profile in tokamak plasmas Felici, F.; Sauter, O.; Coda, S. Nuclear Fusion, Vol. 51, Issue 8 https://doi.org/10.1088/0029-5515/51/8/083052	journal	August 2011
Non-linear model-based optimization of actuator trajectories for tokamak plasma profile control Felici, F.; Sauter, O. Plasma Physics and Controlled Fusion, Vol. 54, Issue 2 https://doi.org/10.1088/0741-3335/54/2/025002	journal	January 2012
Distributed digital real-time control system for the TCV tokamak and its applications Anand, H.; Galperti, C.; Coda, S. Nuclear Fusion, Vol. 57, Issue 5 https://doi.org/10.1088/1741-4326/aa6120	journal	March 2017
Integrated Data Analysis of Profile Diagnostics at ASDEX Upgrade Fischer, R.; Fuchs, C. J.; Kurzan, B. Fusion Science and Technology, Vol. 58, Issue 2 https://doi.org/10.13182/FST10-110	journal	October 2010
Core turbulence behavior moving from ion-temperature-gradient regime towards trapped-electron-mode regime in the ASDEX Upgrade tokamak and comparison with gyrokinetic simulation Happel, T.; Navarro, A. Bañón; Conway, G. D. Physics of Plasmas, Vol. 22, Issue 3 https://doi.org/10.1063/1.4914153	journal	March 2015
Alignment of Gaussian beams Joyce, W. B.; DeLoach, B. C. Applied Optics, Vol. 23, Issue 23 https://doi.org/10.1364/AO.23.004187	journal	January 1984
Wave propagation through an electron cyclotron resonance layer Westerhof, E. Plasma Physics and Controlled Fusion, Vol. 39, Issue 6 https://doi.org/10.1088/0741-3335/39/6/007	journal	June 1997

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