SIMULATING MAGNETOHYDRODYNAMICAL FLOW WITH CONSTRAINED TRANSPORT AND ADAPTIVE MESH REFINEMENT: ALGORITHMS AND TESTS OF THE AstroBEAR CODE
SIMULATING MAGNETOHYDRODYNAMICAL FLOW WITH CONSTRAINED TRANSPORT AND ADAPTIVE MESH REFINEMENT: ALGORITHMS AND TESTS OF THE AstroBEAR CODE
复制标题
DOI：
10.1088/0067-0049/182/2/519
复制
发表时间：
2009-06-01
影响因子：
8.7
通讯作者：
Jones, Thomas W.
中科院分区：
文献类型：
--
作者：
Cunningham, Andrew J.;Frank, Adam;Jones, Thomas W.
给出了一个描述的算法实现的AstroBEAR自适应网格细化代码的理想磁流体动力学。该代码提供了几个高分辨率的激波捕捉计划，其构造，以保持守恒量的流量在有限体积的意义。通过在细胞界面交错网格上整理磁场的分量并利用约束传输方法整合感应方程，保持无发散磁场拓扑结构的机器精度。自适应网格上的磁场拓扑结构的维护是通过使用延长和限制算子来实现的，这些算子保持了不同分辨率的同位网格上的磁场的发散性和旋度。通过将各种试验的数值解与解析解或以前发表的由其他代码获得的数值解进行比较，证明了该代码的鲁棒性和正确性。
A description is given of the algorithms implemented in the AstroBEAR adaptive mesh-refinement code for ideal magnetohydrodynamics. The code provides several high-resolution shock-capturing schemes which are constructed to maintain conserved quantities of the flow in a finite-volume sense. Divergence-free magnetic field topologies are maintained to machine precision by collating the components of the magnetic field on a cell-interface staggered grid and utilizing the constrained transport approach for integrating the induction equations. The maintenance of magnetic field topologies on adaptive grids is achieved using prolongation and restriction operators which preserve the divergence and curl of the magnetic field across collocated grids of different resolutions. The robustness and correctness of the code is demonstrated by comparing the numerical solution of various tests with analytical solutions or previously published numerical solutions obtained by other codes.