发表机构
Ghent University; Université de Lorraine（根特大学; 洛林大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
提出有限体积Vlasov代码kobra，采用自适应网格细化求解Vlasov-Poisson方程，通过多个基准测试验证，能高效模拟等离子体-壁相互作用。
AI 中文摘要
在聚变装置中，等离子体-壁相互作用（在鞘层尺度上）可建模为无碰撞问题。在对这些区域进行建模时，粒子网格（PIC）代码会因速度空间采样不足而产生统计误差。另一方面，Vlasov代码不存在此问题，因为它们演化完整的分布函数。在此，我们提出一种新的有限体积Vlasov代码kobra，配备自适应网格细化以降低计算开销。目前，该代码求解Vlasov-Poisson方程组。我们使用既有基准测试，即双流不稳定性、朗道阻尼、Dory-Guest-Harris不稳定性以及经典静电等离子体鞘层，在1d1v和1d2v中验证了我们的代码。我们发现该代码能很好地复现这些问题的理论特性。更重要的是，自适应网格提供了计算增益，该增益有望扩展到更高维度的等离子体-壁模拟中。
英文摘要
In a fusion device plasma-wall interactions \edit{on the sheath scale} can be modeled as a collisionless problem. When modeling these regions particle-in-cell codes suffer from statistical error originating from undersampling the velocity space. On the other hand, Vlasov codes do not have this issue as they evolve the full distribution function. Here, we present a new finite-volume Vlasov code, kobra, equipped with adaptive-mesh refinement to reduce computational effort. Currently, the code solves the Vlasov-Poisson equations. We validate our code in 1d1v and 1d2v using established benchmarks, i.e. the two-stream instability, Landau damping, the Dory-Guest-Harris instability, and also a classical electrostatic plasma sheath. We find that the code reproduces the theoretical properties of these problems well. More importantly, the adaptive grid provides a computational gain that is likely to scale to higher dimensional, plasma-wall simulations.
Comments6 pages, 3 figures, accpted for publication in Contributions to Plasma Physics
