Lagrangian and Eulerian MHD turbulence and beyond

拉格朗日和欧拉 MHD 湍流及其他

• 批准号: 84088419
• 负责人: Professor Dr. Rainer Grauer
• 金额: --
• 依托单位: Institut für Theoretische Physik I: Plasma-, Laser- und Atomphysik
• 依托单位国家: 德国
• 项目类别: Research Units
• 财政年份: 2008
• 资助国家: 德国
• 起止时间: 2007-12-31 至 2018-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/84088419?language=en
• 关键词: Lagrangian; Eulerian; MHD; turbulence; beyond

Although enormous progress has been achieved in understanding homogeneous isotropic Lagrangian and Eulerian fluid and plasma turbulence, the application to turbulence in bounded geometries and to the dynamics on kinetic scales is still in its infancy. We will address turbulence in bounded geometries motivated by the VKS and Madison dynamo experiment. The techniques on Lagrangian turbulence developed in the first phase of the FOR will be applied to gain a better understanding of the different regimes of dynamo activity (linear, nonlinear, saturated). To achieve this goal, fluid and magnetic boundary conditions will be implemented using the penalty method in the spectral simulation framework LaTu.Since in collisionless plasmas the dissipation mechanism are essentially kinetic, Vlasov simulations on a cluster of graphics cards will be performed to understand alignment properties of magnetic and velocity fluctuations on kinetic scales. In addition, multiscale-multiphysics simulations will be developed were fluid (large scales) and kinetic (small scales) simulations are coupled in a consistent way.

虽然在理解均匀各向同性拉格朗日和欧拉流体和等离子体湍流方面已经取得了巨大的进展，但在有界几何中的湍流和动力学尺度上的动力学的应用仍处于起步阶段。我们将讨论由VKS和麦迪逊发电机实验激发的有界几何中的湍流。在第一阶段的拉格朗日湍流的技术开发的FOR将被应用于获得更好地了解发电机活动的不同制度（线性，非线性，饱和）。为了实现这一目标，流体和磁边界条件将使用惩罚方法在光谱模拟框架LaTu中实现。由于在无碰撞等离子体中的耗散机制基本上是动力学的，因此将在一组图形卡上进行Vlasov模拟，以了解动力学尺度上的磁场和速度波动的对齐特性。此外，将开发多尺度多物理场模拟，将流体（大尺度）和动力学（小尺度）模拟以一致的方式结合起来。