Accurate Numerical Solution of Charged Particle Motion in a Magnetic Field

Vu, H. X.; Brackbill, J. U.

doi:10.1006/jcph.1995.1037

Cited by 38 publications

(25 citation statements)

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“…The magnetic implicit (MI) algorithm described here has similarities to one described by Vu and Brackbill [2] in that the motion of a charged particle in an electromagnetic field is calculated with the position and relativistic momentum of the particle calculated at the same time level. Recently, Cohen, et al, [3,4] have reported on a large time step mover which interpolates between a conventional Boris push and particle dynamics in the drift approximation.…”

Section: Introductionmentioning

confidence: 99%

A Fast Implicit Algorithm for Highly Magnetized Charged Particle Motion

Genoni¹,

Clark²,

Welch³

2014

TOPPJ

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We describe a particle advance algorithm for particle-in-cell simulation of highly magnetized charged particles that relaxes the time step constraint due to cyclotron motion. The method preserves the correct cyclotron radius for large time steps and corrects for magnetic field gradients without requiring explicit calculation of the particle magnetic moment. Application of the algorithm is illustrated with electron and ion single particle orbit calculations in a field reversed configuration with rotating magnetic fields. This technique is efficient and applicable to massively parallel simulation.

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Section: Introductionmentioning

confidence: 99%

A Fast Implicit Algorithm for Highly Magnetized Charged Particle Motion

Genoni¹,

Clark²,

Welch³

2014

TOPPJ

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“…If this were true, it would require a complete reinvestigation of fast-ion-induced power loads on ITER walls. The most accurate evaluations of ITER fast-ion power loads [9] have been done with traditional Monte Carlo GC-following codes such as ASCOT and OFMC, which very accurately model the neoclassical physics. Some codes, e.g., ASCOT, even have models for anomalous diffusion, but these are typically very simple, with constant arbitrarily set diffusion coefficients.…”

Section: Discussionmentioning

confidence: 99%

“…We launched a 3.5-MeV alpha particle from the outer midplane with ρ p = 0.95 and ξ = −0.3. The background is nonaxisymmetric ITER Scenario 4 [9]. The GC trace and the 3-D vacuum vessel elements (divertor plates in red) are shown in Fig.…”

Section: Methods For Detailed Fast-ion Wall Distributionmentioning

confidence: 99%

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Realistic Simulations of Fast-Ion Wall Distribution Including Effects Due to Finite Larmor Radius

Snicker

Kurki-Suonio

Sipilä

2010

IEEE Trans. Plasma Sci.

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The Monte Carlo guiding center (GC)-following code ASCOT has been upgraded with the full-orbit-following capability. This is utilized only near the vessel walls in order to simulate diagnostics with characteristic lengths on the order of the Larmor radius. The option to switch more generally, near the turning points of the particle, from the GC integration to full-orbit integration and back is also discussed. Index Terms-Alpha particle, full orbit, hybrid model, particle tracing.

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“…22 Here, we employ the Newton-Krylov ͑NK͒ method 27 to solve the set of equations of motion to convergence.…”

Section: E Particle Movermentioning

confidence: 99%

Kinetic approach to microscopic-macroscopic coupling in space and laboratory plasmas

Brackbill²,

2006

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Kinetic plasma simulation typically requires to handle a multiplicity of space and time scales. The implicit moment particle in cell (PIC) method provides a possible route to address the presence of multiple scales effectively. Here, a new implementation of the implicit moment method is described. The present paper has two goals. First, the most modern implementation of the implicit moment method is described. While many of the algorithms involved have been developed in the past, the present paper reports for the first time how the implicit moment method is currently implemented and what specific algorithms have been found to work best. Second, we present the CELESTE3D code, a fully electromagnetic and fully kinetic PIC code, based on the implicit moment method. The code has been in use for a number of years but no previous complete description of its implementation has been provided. The present work fills this gap and introduces a number of new methods not previously presented: a new implementation of the Maxwell solver and a new particle mover based on a Newton-Krylov nonlinear solver for the discretized Newton’s equations. A number of benchmarks of CELESTE3D are presented to shown the typical application and to investigate the improvements introduced by the new solver and the new mover.

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Accurate Numerical Solution of Charged Particle Motion in a Magnetic Field

Cited by 38 publications

References 1 publication

A Fast Implicit Algorithm for Highly Magnetized Charged Particle Motion

A Fast Implicit Algorithm for Highly Magnetized Charged Particle Motion

Realistic Simulations of Fast-Ion Wall Distribution Including Effects Due to Finite Larmor Radius

Kinetic approach to microscopic-macroscopic coupling in space and laboratory plasmas

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