A conservative scheme for Vlasov Poisson Landau modeling collisional plasmas

JOURNAL OF COMPUTATIONAL PHYSICS

卷:340

Article

Zhang, Chenglong^1,2  Gamba, Irene M.^1,2,3 

[1] Univ Texas Austin, 201 E 24th St, Austin, TX 78712 USA

[2] Univ Texas Austin, ICES, 201 E 24th St, Austin, TX 78712 USA

[3] Univ Texas Austin, Dept Math, 201 E 24th St, Austin, TX 78712 USA

关键词: Inhomogeneous Fokker-Planck-Landau equation;    Discontinuous Galerkin;    Conservative spectral methods;    Collisional plasma;    Landau damping;   

DOI  :  10.1016/j.jcp.2017.03.046

来源: Elsevier

【 摘 要 】

We have developed a deterministic conservative solver for the inhomogeneous FokkerPlanck-Landau equation coupled with the Poisson equation, which is a classical mean-field primary model for collisional plasmas. Two subproblems, i.e. the Vlasov-Poisson problem and homogeneous Landau problem, are obtained through time-splitting methods, and treated separately by the Runge-Kutta Discontinuous Galerkin method and a conservative spectral method, respectively. To ensure conservation when projecting between the two different computing grids, a special conservation routine is designed to link the solutions of these two subproblems. This conservation routine accurately enforces conservation of moments in Fourier space. The entire numerical scheme is implemented with parallelization with hybrid MPI and OpenMP. Numerical experiments are provided to study linear and nonlinear Landau Damping problems and two-stream flow problem as well. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free