4 papers
Critical velocity-space mode scalings in linear and nonlinear Landau damping for the Vlasov--Poisson system
Noah K. Guberman, J. Coughlin, A. S. Joglekar
The velocity-space resolution required to accurately simulate kinetic phenomena in the 1D-1V Vlasov--Poisson system is generally not known a priori. In this work, we determine the…
Asymptotic perpendicular transport in low-beta collisionless plasma
Jack Coughlin, Jingwei Hu, Uri Shumlak
Kinetic physics, including finite Larmor radius (FLR) effects, are known to affect the physics of magnetized plasma phenomena such as the Kelvin-Helmholtz and Rayleigh-Taylor insta…
Robust and conservative dynamical low-rank methods for the Vlasov equation via a novel macro-micro decomposition
Jack Coughlin, Jingwei Hu, Uri Shumlak
Dynamical low-rank (DLR) approximation has gained interest in recent years as a viable solution to the curse of dimensionality in the numerical solution of kinetic equations includ…
Efficient dynamical low-rank approximation for the Vlasov-Ampère-Fokker-Planck system
Jack Coughlin, Jingwei Hu
Kinetic equations are difficult to solve numerically due to their high dimensionality. A promising approach for reducing computational cost is the dynamical low-rank algorithm, whi…