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

摘要

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 bidelta,bi-Gaussian,and bi-B-spline representations.Wedevelop 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 asymptoticpreserving in the high-field limit.