标题： 评估磁旋转不稳定性对数值算法和分辨率的依赖性 显示英文标题

标题： Evaluating the Magnetorotational Instability's Dependence on Numerical Algorithms and Resolution

摘要： 我们使用三维等温模拟研究了饱和的、由磁流体力学不稳定性（MRI）驱动的湍流，模拟分辨率在每个方向上从64个网格点扩展到192个网格点。这些模拟采用了多种高阶Godunov算法。我们尝试了各种重构策略以及多种Riemann求解器。结果显示，等温MRI驱动的湍流细节主要取决于Riemann求解器，其次取决于重构策略。此外，我们发现当采用最佳重构策略（WENO）和最佳Riemann求解器（线性化）时，有效粘性参数随着分辨率的增加表现出逐步减小的减少趋势。我们将这一结果归因于高阶Godunov方案中使用的更复杂的耗散机制。频谱分析和传递函数已被用于量化这些高阶Godunov方案中的耗散过程。 显示英文摘要

摘要： We have studied saturated, MRI-driven turbulence using three-dimensional, isothermal simulations with resolutions that extend from 64 to 192 zones in each direction. The simulations were performed with several higher order Godunov algorithms. A variety of reconstruction strategies as well as a variety of Riemann solvers are tried. We show that the details of the isothermal MRI-driven turbulence depend principally on the Riemann solver and secondarily on the reconstruction strategy. Furthermore, we find that the effective viscosity parameter parameter tends to show progressively smaller decrements with increasing resolution when the best reconstruction strategy (WENO) and the best Riemann solver (linearized)are used. We attribute this result to the more sophisticated dissipation mechanisms that are used in higher-order Godunov schemes. Spectral analysis and transfer functions have been used to quantify the dissipative processes in these higher-order Godunov schemes.