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

作者：Cheng Yongtao; Rossmanith James A^*

来源：Journal of Computational and Applied Mathematics, 2014, 262: 384-398.

DOI：10.1016/j.cam.2013.10.041

• Asymptotic-preserving
• Discontinuous Galerkin
• Vlasov-Poisson
• Fokker-Planck
• Moment-closure
• Plasma physics

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. 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.

• 出版日期2014-5-15