Self-Gravitational Magnetohydrodynamics with Adaptive Mesh Refinement for Protostellar Collapse
Self-Gravitational Magnetohydrodynamics with Adaptive Mesh Refinement for Protostellar Collapse
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DOI：
10.1093/pasj/59.5.905
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发表时间：
2006-09
影响因子：
2.3
通讯作者：
Tomoaki Matsumoto
中科院分区：
文献类型：
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作者：
Tomoaki Matsumoto
介绍了一种新的自引力磁流体力学（MHD）自适应网格加密（AMR）数值计算程序SFUMATO。采用块结构网格作为AMR层次结构的网格。采用总变差递减（TVD）格心格式作为MHD求解器，并对磁场发散误差进行了双曲线清洗。自重力场的求解采用多重网格方法，该方法包括：（1）AMR分层网格上的全多重网格（FMG）循环，（2）AMR分层网格上的V循环，以及（3）基础网格上的FMG循环。多重网格方法具有空间二阶精度，快速收敛和可扩展性。通过在MHD求解器和多重网格方法中使用回流程序，数值通量保持不变。几个测试表明，解决方案是与以前公布的结果一致。
A new numerical code, called SFUMATO, for solving self-gravitational magnetohydrodynamics (MHD) problems using adaptive mesh refinement (AMR) is presented. A block-structured grid is adopted as the grid of the AMR hierarchy. The total variation diminishing (TVD) cell-centered scheme is adopted as the MHD solver, with hyperbolic cleaning of divergence error of the magnetic field also implemented. The self-gravity is solved by a multigrid method composed of (1) full multigrid (FMG)-cycle on the AMR hierarchical grids, (2) V-cycle on these grids, and (3) FMG-cycle on the base grid. The multigrid method exhibits spatial second-order accuracy, fast convergence, and scalability. The numerical fluxes are conserved by using a refluxing procedure in both the MHD solver and the multigrid method. The several tests are performed indicating that the solutions are consistent with previously published results.