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arXiv 1003.0018astro-ph.GAastro-ph.SR
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磁旋转不稳定性对数值算法和分辨率的依赖性

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

Dinshaw S. Balsara, Chad Meyer

摘要:

我们已经研究了饱和,MRI驱动的湍流使用三维,等温模拟的分辨率,从64到192区在每个方向上延伸。用几种高阶Goddom算法进行了仿真。尝试了各种重建策略以及各种黎曼解算器。我们表明,等温MRI驱动的湍流的细节主要取决于黎曼解算器,其次是重建策略。此外,我们发现,有效的粘度参数参数往往表现出逐渐减小的递减与分辨率的最佳重建策略(WENO)和最佳黎曼求解器(线性化)时使用。我们将这一结果归因于更复杂的耗散机制,用于高阶Goddom计划。谱分析和传递函数已被用来量化耗散过程中,这些高阶Goddom计划。

英文摘要:

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.

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