Finite-difference time-domain simulation of fusion plasmas at radiofrequency time scales

Smithe, D. N.

doi:10.1063/1.2710784

Cited by 48 publications

(61 citation statements)

References 8 publications

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“…Reference [6] generalizes the methods of Ref. [3], such that these time-varying sheath potentials at the conducting boundary can be modeled within the locally implicit time advance. Fields at the k-th simulation timestep Δt are evolved to the (k+1)-st timestep by the equations …”

Section: Fdtd Methods For Em Waves In Plasmamentioning

confidence: 99%

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Time-Domain Modeling of RF Antennas and Plasma-Surface Interactions

Jenkins

Smithe

2017

EPJ Web Conf.

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Abstract. Recent advances in finite-difference time-domain (FDTD) modeling techniques allow plasmasurface interactions such as sheath formation and sputtering to be modeled concurrently with the physics of antenna near-and far-field behavior and ICRF power flow. Although typical sheath length scales (micrometers) are much smaller than the wavelengths of fast (tens of cm) and slow (millimeter) waves excited by the antenna, sheath behavior near plasma-facing antenna components can be represented by a sub-grid kinetic sheath boundary condition, from which RF-rectified sheath potential variation over the surface is computed as a function of current flow and local plasma parameters near the wall. These local time-varying sheath potentials can then be used, in tandem with particle-in-cell (PIC) models of the edge plasma, to study sputtering effects. Particle strike energies at the wall can be computed more accurately, consistent with their passage through the known potential of the sheath, such that correspondingly increased accuracy of sputtering yields and heat/particle fluxes to antenna surfaces is obtained. The new simulation capabilities enable timedomain modeling of plasma-surface interactions and ICRF physics in realistic experimental configurations at unprecedented spatial resolution. We will present results/animations from high-performance (10k-100k core) FDTD/PIC simulations of Alcator C-Mod antenna operation.

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Section: Fdtd Methods For Em Waves In Plasmamentioning

confidence: 99%

“…Reference [3] describes how cold-plasma currents in the Maxwell equations can also be included in the FDTD formalism. Components of plasma current associated with an individual grid cell are co-located at cell nodes [permitting evaluation of the cold-plasma current evolution equation (3); see below].…”

Section: Fdtd Methods For Em Waves In Plasmamentioning

confidence: 99%

Time-Domain Modeling of RF Antennas and Plasma-Surface Interactions

Jenkins

Smithe

2017

EPJ Web Conf.

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“…In magnetized plasmas, this approach is especially difficult because of the nature of the ADE, which is naturally discretized on a collocated grid, while Maxwell's equations are usually discretized on staggered grids. Explicit solutions have been proposed [7] and are stable provided the vacuum Courant condition is obeyed. This is problematic when simulating phenomena whose wavelength is much shorter than the vacuum wavelength λ vac = 2πc/ω, like the waves that occur in mode conversion layers [7,8,9,10].…”

Section: Introductionmentioning

confidence: 99%

“…A lot of research has been performed into the time-domain simulation of electrodynamics in non-trivial media [1,2,3,4], including Lorentz dielectrics [1], lasing media [5], unmagnetized plasmas [6], and magnetized plasmas [7]. Modelling such media is usually done using an extra differential equation (ADE, auxiliary differential equation) in addition to the classical Maxwell's equations.…”

Section: Introductionmentioning

confidence: 99%

An unconditionally stable time-domain discretization on cartesian meshes for the simulation of nonuniform magnetized cold plasma

Tierens

Zutter

2012

Journal of Computational Physics

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In this paper an unconditionally stable, spatially and temporally implicit time-domain discretization for nonuniform magnetized cold plasma is developed. The discrete dispersion relation is free of spurious solutions and approximates the continuous dispersion relation for well-resolved wavelengths and frequencies (k∆ π, ω∆ t π). For a specific choice of parameters, the discrete dispersion relation approximates the continuous dispersion relation for all wavelengths and frequencies up to the Nyquist limit. A few examples, amongst them one involving mode conversion, illustrate the new method.

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“…For a review on these advances we refer to [2,3] and the references therein and to the huge body of literature on these topics. The work presented below was initially motivated by our interest in the complex phenomena that govern the behavior of Tokamak plasmas [4,5] such as to be used in ITER [6,7]. When using linearized plasma theory, an FDTD body of revolution (BOR-FDTD) approach can be used, to study each of the independent toroidal modes describing the plasma.…”

Section: Introductionmentioning

confidence: 99%

BOR-FDTD subgridding based on finite element principles

Tierens¹,

Zutter²

2011

Journal of Computational Physics

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In this paper a recently developed provably passive and stable 3D FDTD subgridding technique, based on finite elements principles, is extended to Body-Of-Revolution (BOR) FDTD. First, a suitable choice of basis functions is presented together with the mechanism to assemble them into an overall mesh consisting of coarse and fine mesh cells. Invoking appropriate masslumping concepts then leads to an explicit leapfrog time stepping algorithm for the amplitudes of the basis functions. Attention is devoted to provide the reader with insight into the updating equations, in particular at a subgridding boundary. Stability, grid reflection and dispersion are also discussed. Finally, some numerical examples for toroidal and cylindrical cavities demonstrate the stability and accuracy of the method.

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Finite-difference time-domain simulation of fusion plasmas at radiofrequency time scales

Abstract: Control of plasma uniformity in a capacitive discharge using two very high frequency power sources

Cited by 48 publications

References 8 publications

Time-Domain Modeling of RF Antennas and Plasma-Surface Interactions

Time-Domain Modeling of RF Antennas and Plasma-Surface Interactions

An unconditionally stable time-domain discretization on cartesian meshes for the simulation of nonuniform magnetized cold plasma

BOR-FDTD subgridding based on finite element principles

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