The HLLD Riemann solver based on magnetic field decomposition method for the numerical simulation ofmagneto-hydrodynamics
The HLLD Riemann solver based on magnetic field decomposition method for the numerical simulation ofmagneto-hydrodynamics
复制标题
基于磁场分解法的HLLD黎曼求解器用于磁流体动力学数值模拟
DOI：
10.1016/j.jcp.2016.09.057
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发表时间：
2016
影响因子：
4.1
通讯作者：
Chi Wang
中科院分区：
文献类型：
--
作者：
Xiaocheng Guo;Vladimir Florinski;Chi Wang
通过将磁场分为内外两部分，导出了用于磁流体力学（MHD）数值模拟的HLLD Riemann求解器的扩展形式。当磁场的外部分量为零时，这种新的求解器与标准HLLD黎曼求解器向后兼容。此外，该求解器在低等离子体β（热压力和磁压力之间的比率）情况下的应用比标准HLLD求解器更鲁棒，其中热压力可以通过从Goddom型数值方案中的大总能量密度中减去动能和大磁能而变为负值。我们的数值试验表明，扩展的HLLD求解器工作良好的磁场分解的情况下，并保持类似于标准HLLD的高分辨率。
By splitting magnetic field into two components (internal plus external), we derived an extended formulation of the HLLD Riemann solver for numerical simulation of magneto-hydrodynamics (MHD). This new solver is backward compatible with the standard HLLD Riemann solver when the external component of the magnetic field is zero. Moreover, the solver is more robust than the standard HLLD solver in applications to low plasma β(the ratio between thermal and magnetic pressures) cases, where the thermal pressure may become negative from subtracting the kinetic and large magnetic energy from the large total energy density in a Godunov type numerical scheme. Our numerical tests show that the extended HLLD solver works well for the cases of magnetic field decomposition, and maintains high resolution similar to the standard HLLD.