A class of quadrature-based moment-closure methods with application to the Vlasov-Poisson-Fokker-Planck system in the high-field limit

Authors:
Yongtao Cheng;James A. Rossmanith
Affiliations:
-;-
Venue:
Journal of Computational and Applied Mathematics
Year:
2014

Citing 7
Cited 0

Asymptotic behavior of an initial-boundary value problem for the Vlasov-Poisson-Fokker-Planck system

SIAM Journal on Applied Mathematics
Total variation diminishing Runge-Kutta schemes

Mathematics of Computation
Convergence of a Difference Scheme for the Vlasov--Poisson--Fokker--Planck System in One Dimension

SIAM Journal on Numerical Analysis
Runge–Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

Journal of Scientific Computing
Higher-order quadrature-based moment methods for kinetic equations

Journal of Computational Physics
A positivity-preserving high-order semi-Lagrangian discontinuous Galerkin scheme for the Vlasov-Poisson equations

Journal of Computational Physics
Conditional quadrature method of moments for kinetic equations

Journal of Computational Physics

Quantified Score

Hi-index	7.29

Visualization

Abstract

Quadrature-based moment-closure methods are a class of approximations that replace high-dimensional kinetic descriptions with lower-dimensional fluid models. In this work we investigate some of the properties of a sub-class of these methods based on bi-delta, bi-Gaussian, and bi-B-spline representations. We develop a high-order discontinuous Galerkin (DG) scheme to solve the resulting fluid systems. Finally, via this high-order DG scheme and Strang operator splitting to handle the collision term, we simulate the fluid-closure models in the context of the Vlasov-Poisson-Fokker-Planck system in the high-field limit. We demonstrate numerically that the proposed scheme is asymptotic-preserving in the high-field limit.