Bulletin of the American Physical Society
64th Annual Meeting of the APS Division of Plasma Physics
Volume 67, Number 15
Monday–Friday, October 17–21, 2022; Spokane, Washington
Session TP11: Poster Session VII: In-Person, Hall A (9:30-11:00am) and Virtual Poster Presentations (11:15am-12:30pm)
MFE: FRC, RFPs etc
ICF: Fast Ignition; Diagnostics; Computational; Laser Plasma Interactions
FUND: Computation
9:30 AM - 12:30 PM
Thursday, October 20, 2022
Room: Exhibit Hall A and Online
Abstract: TP11.00132 : Dynamical low-rank methods for capturing kinetic effects in the collisional transition regime*
Presenter:
Jack Coughlin
(University of Washington)
Authors:
Jack Coughlin
(University of Washington)
Jingwei Hu
(University of Washington)
Uri Shumlak
(University of Washington)
in collisionless or only moderately collisional regimes, where fluid models
may not be appropriate. For example, recent work (Vogman et. al, Phys. Plasmas 2020) has
demonstrated the presence of kinetic effects, including finite Larmor radius
effects, in the weakly collisional, magnetized Kelvin Helmholtz instability.
Unfortunately, the curse of dimensionality makes the numerical solution
of 5 or 6-dimensional kinetic equations extremely costly. Recently,
developments in the method of dynamical low-rank approximation (DLRA) have begun to
chart a path around the curse of dimensionality for kinetic equations. We
summarize the DLRA method and its application to
the collisional Boltzmann-Maxwell equation. Several modifications to the basic
formulation, made with the aim of preserving structure such as conservation and Maxwellian
equilibrium, are presented. We pay special attention to achieving
computational speedups in the collisional transition regime, characterized
by Knudsen numbers in the range 10-2 < Kn < 10.
*This material is based upon work supported by the National Science Foundation under Grant No. PHY-2108419.
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