Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system, part I: Collisionless aspects
Charge-and-energy conserving moment-based accelerator for a multi-species Vlasov-Fokker-Planck-Ampère system, part I: Collisionless aspects
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DOI：
10.1016/j.jcp.2014.12.038
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
W. Taitano;L. Chacón
中科院分区：
文献类型：
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作者：
W. Taitano;L. Chacón
在这项研究中，我们提出了一种欧拉网格上1D-1V vlasov - ampantere方程组的电荷、动量和能量守恒离散化方法。新的保守离散化本质上是非线性的，但可以有效地收敛于基于矩的非线性加速算法。我们用不同的数值例子证明了该格式的守恒性和收敛性，包括一个多尺度离子声冲击波问题。
In this study, we propose a charge, momentum, and energy conserving discretization for the 1D–1V Vlasov–Ampère system of equations on an Eulerian grid. The new conservative discretization is nonlinear in nature, but can be efficiently converged with a moment-based nonlinear accelerator algorithm. We demonstrate the conservation and convergence properties of the scheme with various numerical examples, including a multi-scale ion–acoustic shockwave problem.