44 citations · 432 across the 34 of their papers we have counts for
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An integral equation-based numerical solver for Taylor states in toroidal geometries
Michael O'Neil, Antoine J. Cerfon
We develop an algorithm for the numerical calculation of Taylor states in toroidal and toroidal shell geometries using an analytical framework developed for the solution to the tim…
An adaptive fast multipole accelerated Poisson solver for complex geometries
Travis Askham, Antoine J Cerfon
We present a fast, direct and adaptive Poisson solver for complex two-dimensional geometries based on potential theory and fast multipole acceleration. More precisely, the solver r…
Sparse grid techniques for particle-in-cell schemes
Lee F Ricketson, Antoine J Cerfon
We propose the use of sparse grids to accelerate particle-in-cell (PIC) schemes. By using the so-called `combination technique' from the sparse grids literature, we are able to dra…
Effect of the Shafranov shift and the gradient of on intrinsic momentum transport in up-down asymmetric tokamaks
Justin Ball, Felix I. Parra, Jungpyo Lee +1
Tokamaks with up-down asymmetric poloidal cross-sections spontaneously rotate due to turbulent transport of momentum. In this work, we investigate the effect of the Shafranov shift…
Vortex dynamics and shear layer instability in high intensity cyclotrons
Antoine J. Cerfon
We show that the space charge dynamics of high intensity beams in the plane perpendicular to the magnetic field in cyclotrons is described by the two-dimensional Euler equations fo…