A charge- and energy-conserving implicit, electrostatic particle-in-cell algorithm on mapped computational meshes

被引:42
|
作者
Chacon, L. [1 ]
Chen, G. [1 ]
Barnes, D. C. [2 ]
机构
[1] Oak Ridge Natl Lab, Oak Ridge, TN 37830 USA
[2] Coronado Consulting, Lamy, NM 87540 USA
关键词
Mapped mesh; Curvilinear mesh; Particle-in-cell; Implicit methods; Energy conservation; Charge conservation; PIC SIMULATIONS; CODE; REFINEMENT; DENSITY;
D O I
10.1016/j.jcp.2012.07.042
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We describe the extension of the recent charge-and energy-conserving one-dimensional electrostatic particle-in-cell algorithm in Ref. [G. Chen, L. Chaccn, D. C. Barnes, An energy- and charge-conserving, implicit electrostatic particle-in-cell algorithm, Journal of Computational Physics 230 (2011) 7018-7036] to mapped (body-fitted) computational meshes. The approach maintains exact charge and energy conservation properties. Key to the algorithm is a hybrid push, where particle positions are updated in logical space, while velocities are updated in physical space. The effectiveness of the approach is demonstrated with a challenging numerical test case, the ion acoustic shock wave. The generalization of the approach to multiple dimensions is outlined. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:1 / 9
页数:9
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