Azimuthal Fourier-Decomposed
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Related Articles from SNS
A Reduced-Order Particle-in-Cell Method with Azimuthal Fourier-Decomposed Fields for Nominally Axisymmetric Plasmas
arXiv:2606.04887v1 Announce Type: new Abstract: A reduced-order Particle-in-Cell method is introduced for kinetic simulation of otherwise axisymmetric cylindrical plasmas that exhibit azimuthal instabilities. The method spatially decomposes all field quantities into a small number of azimuthal Fourier modes, reducing the costly three-dimensional field solve to a family of decoupled independent two-dimensional problems on the meridional plane - one per mode - while particles continue to move...
A Reduced-Order Particle-in-Cell Method with Azimuthal Fourier-Decomposed Fields for Nominally Axisymmetric Plasmas
Announce Type: replace Abstract: A reduced-order Particle-in-Cell method is introduced for kinetic simulation of otherwise axisymmetric cylindrical plasmas that exhibit azimuthal instabilities. The method spatially decomposes all field quantities into a small number of (mesh-less) azimuthal Fourier modes $m=0,...,N_m,\quad N_m \ll N_\theta$, reducing the costly three-dimensional field solve $\mathcal{O}(N_zN_rN_\theta)$ to a family of decoupled independent two-dimensional problems...