Conservative and non-conservative methods based on Hermite weighted essentially non-oscillatory reconstruction for Vlasov equations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:279

Article

Yang, Chang¹  Filbet, Francis^2,3 

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Univ Lyon, F-69622 Villeurbanne, France

[3] Inria, Inst Camille Jordan, EPI Kaliffe, F-69622 Villeurbanne, France

关键词: Finite difference method;    Semi-Lagrangian scheme;    Hermite WENO reconstruction;    Vlasov Poisson model;    Guiding-center model;    Plasma physics;   

DOI  :  10.1016/j.jcp.2014.08.048

来源: Elsevier

【 摘 要 】

We develop weighted essentially non-oscillatory reconstruction techniques based on Hermite interpolation both for semi-Lagrangian and finite difference methods. We apply these methods to transport equations in the context of plasma physics and the numerical simulation of turbulence phenomena. On the one hand the non-conservative semi-Lagrangian methods with high order reconstructions are particularly efficient and accurate in linear phase of simulations before the appearance of small structures. However in the nonlinear phase, the lack of conservations may generate inaccurate numerical simulations. At contrast, the conservative finite difference methods are more stable in nonlinear phase and the Hermite WENO reconstruction avoids spurious oscillations. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free