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

• Autores: Yongtao Cheng, James A. Rossmanith
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 262, Nº 1, 2014, págs. 384-398
• Idioma: inglés
• DOI: 10.1016/j.cam.2013.10.041
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• Resumen

  • 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.