用于全动力学离子和漂移动力学电子模拟的隐式离散化方案
Implicit discretization schemes for full-kinetic ion and drift-kinetic electron simulations
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中文总结 AI 辅助
该研究提出全动力学离子和漂移动力学电子的电磁等离子体模拟模型FIDES，用隐式垂直欧姆定律和新颖隐式平行安培定律求解电场，通过多种模拟验证其处理高频物理能力及优势，还开发二阶粒子推进方案抑制奇偶解耦并保持精度。
中文摘要 AI 辅助
我们提出了一种新的具有全动力学离子和漂移动力学电子的电磁等离子体模拟模型。该模型（称为FIDES）使用隐式垂直欧姆定律和一种新颖的隐式平行安培定律来求解电场，后者在推进电子权重时需要对平行电场采用隐式方案。为抑制非物理高频不稳定性，离子权重采用垂直电场隐式方案推进。垂直和平行波模拟验证了该模型处理高频物理的能力。低频波模拟表明隐式平行安培定律比使用平行欧姆定律的传统方案能更有效地减轻抵消问题。为减少隐式时间步长的数值阻尼，我们开发了一种二阶粒子推进方案。同时，采用一阶和二阶方案相结合的综合策略来抑制奇偶解耦并保持二阶公式的精度。
英文摘要
We present a new electromagnetic plasma simulation model with full-kinetic ions and drift-kinetic electrons. This model (termed as FIDES) solves the electric field using the implicit perpendicular Ohm's law and a novel implicit parallel Ampere's law, where the latter requires an implicit scheme for the parallel electric field in advancing the electron weights. To suppress unphysical high-frequency instabilities, ion weights are advanced using an implicit scheme for perpendicular electric fields. Simulations of perpendicular and parallel waves validate the model's capability in handling high-frequency physics. Low-frequency wave simulations demonstrate that the implicit parallel Ampere's law can mitigate the cancellation problem more effectively than the conventional schemes using the parallel Ohm's law. To reduce the numerical damping from implicit time-stepping, we develop a second-order scheme for particle pushing. Meanwhile, an integrated strategy combining the first- and second-order schemes is employed to suppress odd-even decoupling while maintaining the accuracy of the second-order formulation.
