Speaker
Description
Electron cloud build-up simulations rely on accurate self-consistent electric field computation to correctly model the secondary emission cascade. The PyECLOUD code solves this via a Particle-in-Cell (PIC) approach using the Shortley-Weller finite-difference (SW-FD) Poisson solver. This work presents a Boundary Element Method (BEM) formulation for the electrostatic space-charge field that discretizes only the chamber wall into panels and evaluates particle forces via direct Coulomb summation, entirely avoiding volumetric grids. The BEM solver is validated against the analytic image solution for a circular chamber (error $<0.2\%$) and cross-validated with the existing SW-FD solver on the LHC Arc-Dipole chamber, showing sub-percent agreement over the chamber interior. The BEM module is integrated into the PyECLOUD simulation pipeline as a plug-in field solver. Build-up simulations comparing BEM ($N=50$ and $N=200$ panels) with the baseline PIC solver (0.3~mm grid) produce consistent electron cloud line densities, confirming that the BEM formulation correctly captures the physics of the original solver. The BEM panels simultaneously provide a unified geometry for impact detection and secondary emission. The Fast Multipole Method is introduced to accelerate the intrinsic $\mathcal{O}(N^2)$ particle-particle Coulomb sum, and GPU acceleration is proposed as a path toward a standalone BEM-FMM code scalable to $>10^5$ particles.
| In which format do you inted to submit your paper? | LaTeX |
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