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首页> 外文期刊>The Astrophysical journal >NUMERICAL MAGNETOHYDRODYNAMICS IN ASTROPHYSICS: ALGORITHM AND TESTS FOR MULTIDIMENSIONAL FLOW
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NUMERICAL MAGNETOHYDRODYNAMICS IN ASTROPHYSICS: ALGORITHM AND TESTS FOR MULTIDIMENSIONAL FLOW

机译：天体物理中的数值磁流体动力学：多维流的算法和测试

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摘要

We present for astrophysical use a multidimensional numerical code to solve the equations for ideal magne-tohydrodynamics (MHD). It is based on an explicit finite-difference method on an Eulerian grid, called the total variation diminishing (TVD) scheme, which is a second-order-accurate extension of the Roe-type upwind scheme. Multiple spatial dimensions are treated through a Strang-type operator splitting. The constraint of a divergence-free field is enforced exactly by calculating a correction via a gauge transformation in each time step. Results from two-dimensional shock-tube tests show that the code captures correctly discontinuities in all three MHD wave families as well as contact discontinuities. The numerical viscosities and resistivity in the code, which are useful in order to understand simulations involving turbulent flows, are estimated through the decay of two-dimensional linear waves. Finally, the robustness of the code in two dimensions is demonstrated through calculations of the Kelvin-Helmholtz instability and the Orszag-Tang vortex.
机译：对于天体物理学，我们目前使用多维数字代码来求解理想的磁流体动力学（MHD）方程。它基于欧拉网格上显式的有限差分方法，称为总变化量减小（TVD）方案，它是Roe型迎风方案的二阶精确扩展。通过Strang类型的运算符拆分来处理多个空间维度。通过在每个时间步中通过量规变换计算校正值，可以精确地强制执行无散度场的约束。二维冲击管测试的结果表明，该代码正确捕获了所有三个MHD波族中的不连续性以及接触不连续性。通过理解二维线性波的衰减，可以估算代码中的数字粘度和电阻率，这对于理解涉及湍流的模拟很有用。最后，通过计算开尔文-亥姆霍兹不稳定性和Orszag-Tang涡，证明了二维代码的鲁棒性。

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