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Hall magnetohydrodynamics on block-adaptive grids

机译：露台磁力流体动力学对块 - 自适应网格

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摘要

We present a conservative second order accurate finite volume discretization of the magnetohydrodynamics equations including the Hall term. The scheme is generalized to three-dimensional block-adaptive grids with Cartesian or generalized coordinates. The second order accurate discretization of the Hall term at grid resolution changes is described in detail. Both explicit and implicit time integration schemes are developed. The stability of the explicit time integration is ensured by including the whistler wave speed for the shortest discrete wave length into the numerical dissipation, but then second order accuracy requires the use of symmetric limiters in the total variation diminishing scheme. The implicit scheme employs a Newton-Krylov-Schwarz type approach, and can achieve significantly better efficiency than the explicit scheme with an appropriate preconditioner. The second order accuracy of the scheme is verified by numerical tests. The parallel scaling and robustness are demonstrated by three-dimensional simulations of planetary magnetospheres. (C) 2008 Elsevier Inc. All rights reserved.
机译：我们介绍了一个保守的二阶准确的有限体积离散，包括霍尔术语在内的磁力动力学方程。该方案推广到具有笛卡尔或广义坐标的三维块自适应网格。详细描述了在网格分辨率变化下的霍尔术语的二阶离散化。开发出显式和隐式时间集成方案。通过将最短离散波长的次浪潮速度包括在数值耗散中，确保了显式时间集成的稳定性，但是第二顺序精度需要在总变化递减方案中使用对称限制器。隐式方案采用牛顿-Krylov-Schwarz型方法，并且可以比具有适当的预处理器的显式方案实现明显更好的效率。通过数值测试验证该方案的二阶精度。通过行星磁光学的三维模拟来证明并行缩放和稳健性。 （c）2008年elestvier Inc.保留所有权利。

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