Explicit and provably stable spatiotemporal FDTD refinement

Tierens, W.

doi:10.1016/j.jcp.2018.09.015

Cited by 2 publications

(1 citation statement)

References 23 publications

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“…An oft-cited disadvantage of the FDTD approach is its reliance on regular Cartesian grids, which prevents resolving find details of a complicated antenna geometry, a task which is much easier with the flexible tetrahedral meshes of finite elements. Attempts to enable more flexible FDTD grids have been somewhat successful [114] but none have been applied to plasmas. Geometrically complex boundaries can be modeled in FDTD using cut-cell techniques [115].…”

Section: Icrf-edge: Modeling Codesmentioning

confidence: 99%

Recent progress in modeling ICRF-edge plasma interactions with application to ASDEX Upgrade

Zhang¹,

Bilato²,

Bobkov³

et al. 2022

Nucl. Fusion

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This paper summarizes recent progress in modeling the interaction between Ion Cyclotron Range of Frequency (ICRF) waves and edge plasma with application to ASDEX Upgrade. The basic theories, the development of ICRF and edge plasma codes, the integrated modeling methods and some key results are reviewed. In particular, the following physical aspects are discussed: 1. ICRF power coupling; 2. Slow wave propagation; 3. ICRF-rectified sheath; 4. ICRF-induced convection; 5. ICRF-edge turbulence interaction. Moreover, comprehensive integrated modeling strategies by including all necessary codes in one package and solving multiple physical issues self-consistently are discussed.

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Section: Icrf-edge: Modeling Codesmentioning

confidence: 99%

Recent progress in modeling ICRF-edge plasma interactions with application to ASDEX Upgrade

Zhang¹,

Bilato²,

Bobkov³

et al. 2022

Nucl. Fusion

Self Cite

View full text Add to dashboard Cite

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Analysis and Improvement of the Stability of a 3-D FDTD Subgridding Method by Applying an LECT-Based Technique

Valverde,

Ruiz-Cabello,

Bretones

et al. 2024

IEEE Trans. Antennas Propagat.

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This paper studies and improves the stability of a Finite Difference Time Domain (FDTD) subgridding method based on the orthogonalized integral-based methodology. First, we identify the electric and magnetic field components of the FDTD lattices used at the interface between different mesh regions playing a critical role in its stability. Then, we employ them to find a closed criterion for the Courant-Friedrichs-Lewy Number (CFLN). Next, we analyze the stability by the classical spectral method and validate it with numerical heuristic simulations, proving the methodology used in the analytical approach. This information is used to devise a Locally Enlarged Cell Technique (LECT) to modify locally the scheme used to update the field components identified as most critical for stability so that an increased time step can be used. Finally, we analyze the effect of these modifications on the accuracy of the method for typical transmission and scattering problems.

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Explicit and provably stable spatiotemporal FDTD refinement

Cited by 2 publications

References 23 publications

Recent progress in modeling ICRF-edge plasma interactions with application to ASDEX Upgrade

Recent progress in modeling ICRF-edge plasma interactions with application to ASDEX Upgrade

Analysis and Improvement of the Stability of a 3-D FDTD Subgridding Method by Applying an LECT-Based Technique

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