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Antoine Cerfon

Assistant Professor of Mathematics

20062019
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Research Output 2006 2019

  • 26 Article
  • 6 Conference contribution
  • 1 Review article
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Article
2019
collisional plasmas
aspect ratio
turbulence
fluids
simulation

Magnetic shear due to localized toroidal flow shear in tokamaks

Lee, J. & Cerfon, A., Sep 4 2019, In : Plasma Physics and Controlled Fusion. 61, 10, 105007.

Research output: Contribution to journalArticle

Safety factor
Shear flow
Magnetohydrodynamics
shear flow
shear

Taylor states in stellarators: A fast high-order boundary integral solver

Malhotra, D., Cerfon, A., Imbert-Gérard, L. M. & O'Neil, M., Nov 15 2019, In : Journal of Computational Physics. 397, 108791.

Research output: Contribution to journalArticle

stellarators
Boundary Integral
integral equations
Boundary integral equations
Boundary Integral Equations
2018
collisional plasmas
turbulence models
derivation
fluids
distribution moments

An integral equation-based numerical solver for Taylor states in toroidal geometries

O'Neil, M. & Cerfon, A. J., Apr 15 2018, In : Journal of Computational Physics. 359, p. 263-282 20 p.

Research output: Contribution to journalArticle

Integral equations
integral equations
toroidal shells
Geometry
Maxwell equations

Pseudo spectral collocation with Maxwell polynomials for kinetic equations with energy diffusion

Sánchez-Vizuet, T. & Cerfon, A., Feb 1 2018, In : Plasma Physics and Controlled Fusion. 60, 2, 025018.

Research output: Contribution to journalArticle

collocation
kinetic equations
polynomials
Polynomials
Kinetics
2017

An adaptive fast multipole accelerated Poisson solver for complex geometries

Askham, T. & Cerfon, A., Sep 1 2017, In : Journal of Computational Physics. 344, p. 1-22 22 p.

Research output: Contribution to journalArticle

multipoles
boxes
Geometry
Poisson equation
geometry

An analytic scaling relation for the maximum tokamak elongation against n = 0 MHD resistive wall modes

Lee, J., Freidberg, J., Cerfon, A. & Greenwald, M., May 10 2017, In : Nuclear Fusion. 57, 6, 066051.

Research output: Contribution to journalArticle

elongation
scaling
plasma pressure
aspect ratio
fusion

Fast and spectrally accurate evaluation of gyroaverages in non-periodic gyrokinetic-poisson simulations

Guadagni, J. & Cerfon, A., Aug 1 2017, In : Journal of Plasma Physics. 83, 4, 905830407.

Research output: Contribution to journalArticle

Open Access
grids
evaluation
simulation
Poisson equation
electrostatics

Sparse grid techniques for particle-in-cell schemes

Ricketson, L. F. & Cerfon, A., Feb 1 2017, In : Plasma Physics and Controlled Fusion. 59, 2, 024002.

Research output: Contribution to journalArticle

grids
Data storage equipment
cells
penalties
simulation
2016

Accurate derivative evaluation for any Grad-Shafranov solver

Ricketson, L. F., Cerfon, A., Rachh, M. & Freidberg, J. P., Jan 15 2016, In : Journal of Computational Physics. 305, p. 744-757 14 p.

Research output: Contribution to journalArticle

Derivatives
evaluation
Integral equations
integral equations
Numerical methods

Effect of the Shafranov shift and the gradient of β on intrinsic momentum transport in up-down asymmetric tokamaks

Ball, J., Parra, F. I., Lee, J. & Cerfon, A., Nov 3 2016, In : Plasma Physics and Controlled Fusion. 58, 12, 125015.

Research output: Contribution to journalArticle

Momentum
momentum
gradients
shift
profiles

Vortex Dynamics and Shear-Layer Instability in High-Intensity Cyclotrons

Cerfon, A., Apr 28 2016, In : Physical Review Letters. 116, 17, 174801.

Research output: Contribution to journalArticle

shear layers
cyclotrons
vortices
incompressible fluids
fluid dynamics
2015

Accurate spectral numerical schemes for kinetic equations with energy diffusion

Wilkening, J., Cerfon, A. & Landreman, M., Aug 1 2015, In : Journal of Computational Physics. 294, p. 58-77 20 p.

Research output: Contribution to journalArticle

kinetic equations
polynomials
Polynomials
Kinetics
energy
Singular Sturm-Liouville Problem
Spectral Density Function
Plasma Physics
Probability density function
Spectral density

ECOM: A fast and accurate solver for toroidal axisymmetric MHD equilibria

Lee, J. & Cerfon, A., May 1 2015, In : Computer Physics Communications. 190, p. 72-88 17 p.

Research output: Contribution to journalArticle

Conformal mapping
Magnetohydrodynamics
Elongation
conformal mapping
Fluxes

Tokamak elongation - How much is too much? Part 1. Theory

Freidberg, J. P., Cerfon, A. & Lee, J. P., Dec 1 2015, In : Journal of Plasma Physics. 81, 6, 515810607.

Research output: Contribution to journalArticle

elongation
variational principles
profiles
numerical analysis
formulations

Tokamak elongation - How much is too much? Part 2. Numerical results

Lee, J. P., Cerfon, A., Freidberg, J. P. & Greenwald, M., Dec 1 2015, In : Journal of Plasma Physics. 81, 6, 515810608.

Research output: Contribution to journalArticle

elongation
scaling
numerical analysis
aspect ratio
formulations

Tokamak plasma high field side response to an n = 3 magnetic perturbation: A comparison of 3D equilibrium solutions from seven different codes

Reiman, A., Ferraro, N. M., Turnbull, A., Park, J. K., Cerfon, A., Evans, T. E., Lanctot, M. J., Lazarus, E. A., Liu, Y., McFadden, G., Monticello, D. & Suzuki, Y., Jun 1 2015, In : Nuclear Fusion. 55, 6, 063026.

Research output: Contribution to journalArticle

perturbation
stellarators
shot
screening
plasma equilibrium
2014

Exact axisymmetric Taylor states for shaped plasmas

Cerfon, A. J. & O'Neil, M., 2014, In : Physics of Plasmas. 21, 6, 064501.

Research output: Contribution to journalArticle

geometry
elongation
aspect ratio
flexibility
2013

A fast, high-order solver for the Grad-Shafranov equation

Pataki, A., Cerfon, A. J., Freidberg, J. P., Greengard, L. & O'Neil, M., Jun 5 2013, In : Journal of Computational Physics. 243, p. 28-45 18 p.

Research output: Contribution to journalArticle

Plasmas
plasma equilibrium
Conformal mapping
equilibrium equations
conformal mapping

Analytic fluid theory of beam spiraling in high-intensity cyclotrons

Cerfon, A., Freidberg, J. P., Parra, F. I. & Antaya, T. A., Feb 26 2013, In : Physical Review Special Topics - Accelerators and Beams. 16, 2, 024202.

Research output: Contribution to journalArticle

cyclotrons
fluids
advection
space charge
betatrons
2011

Magnetohydrodynamic stability comparison theorems revisited

Cerfon, A. & Freidberg, J. P., Jan 2011, In : Physics of Plasmas. 18, 1, 012505.

Research output: Contribution to journalArticle

magnetohydrodynamic stability
theorems
magnetohydrodynamics
fluids
kinetics
2010

"one size fits all" analytic solutions to the Grad-Shafranov equation

Cerfon, A. & Freidberg, J. P., 2010, In : Physics of Plasmas. 17, 3, 032502.

Research output: Contribution to journalArticle

spheromaks
elongation
aspect ratio
profiles
configurations
2009

Observation and study of low-frequency oscillations in a 1.5-MW 110-GHz gyrotron

Cerfon, A., Choi, E., Marchewka, C. D., Mastovsky, I., Shapiro, M. A., Sirigiri, J. R. & Temkin, R. J., 2009, In : IEEE Transactions on Plasma Science. 37, 7 PART 2, p. 1219-1224 6 p.

Research output: Contribution to journalArticle

low frequencies
oscillations
electric potential
magnetic compression
microwave emission
2007

Efficiency enhancement of A 1.5-MW, 110-GHz gyrotron with a single-stage depressed collector

Choi, E. M., Cerfon, A., Mastovsky, I., Shapiro, M. A., Sirigiri, J. R. & Temkin, R. J., Aug 2007, In : Fusion Science and Technology. 52, 2, p. 334-339 6 p.

Research output: Contribution to journalArticle

accumulators
Circular waveguides
augmentation
Electric potential
converters