论文标题
多阶段低衰减对流上游分裂方法，用于理想的磁性水力动力学
A Multistate Low-dissipation Advection Upstream Splitting Method for Ideal Magnetohydrodynamics
论文作者
论文摘要
我们为理想的磁流失动力（MHD）模拟开发了一种新的数值方案，该方案对单维冲击具有可靠性，并且对于低马赫数流和不连续性而言是准确的。该方案属于计算空气动力学中采用的上游分裂方法的一个家族，并将MHD方程中的无粘性通量分成对流，压力和磁张力部件，然后单独评估计算电池界面处的质量，压力，压力，压力，压力，磁张力通量。质量通量旨在避免多维中的数值休克不稳定性，同时保留接触不连续性。压力通量具有适当的低马赫数流量缩放比例，可以对几乎不可压缩流的可靠模拟进行可靠的模拟。磁张力通量与HLLD近似Riemann求解器相一致，以保持旋转不连续性。我们展示了各种基准测试，以验证该方案的新型性能。我们的结果表明，该方案必须是应对包括低马赫数流和磁场不均匀性的天体物理系统的有前途的工具。
We develop a new numerical scheme for ideal magnetohydrodynamic (MHD) simulations, which is robust against one- and multi-dimensional shocks, and is accurate for low Mach number flows and discontinuities. The scheme belongs to a family of the advection upstream splitting method employed in computational aerodynamics, and it splits the inviscid flux in MHD equations into advection, pressure, and magnetic tension parts, and then individually evaluates mass, pressure, and magnetic tension fluxes at the interface of a computational cell. The mass flux is designed to avoid numerical shock instability in multidimension, while preserving contact discontinuity. The pressure flux possesses a proper scaling for low Mach number flows, allowing reliable simulations of nearly incompressible flows. The magnetic tension flux is built to be consistent with the HLLD approximate Riemann solver to preserve rotational discontinuity. We demonstrate various benchmark tests to verify the novel performance of the scheme. Our results indicate that the scheme must be a promising tool to tackle astrophysical systems that include both low and high Mach number flows, as well as magnetic field inhomogeneities.
