A New Numerical Scheme for Resistive Relativistic Magnetohydrodynamics Using Method of Characteristice
A New Numerical Scheme for Resistive Relativistic Magnetohydrodynamics Using Method of Characteristice
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采用特征法的电阻相对论磁流体动力学新数值方案
DOI：
10.1088/0004-637x/735/2/113
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发表时间：
2011
期刊：
影响因子：
--
通讯作者：
井上剛志
中科院分区：
文献类型：
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作者：
高本亮;井上剛志
我们提出了一种新的数值方法的特殊相对论电阻磁流体动力学标量电阻率，可以处理一系列的现象，从非相对论的相对论（冲击，接触不连续性，和阿尔文波）。该格式采用近似黎曼解计算流体的数值通量，采用特征线法计算电磁场。由于该方案使用了适当的特征速度，因此能够精确地解决不能近似为理想磁流体力学且特征速度远低于光速的问题。数值结果表明，我们的格式可以解决上述问题以及近似理想的MHD问题。我们的新方案特别适合于具有初始弱磁场和相对论和非相对论速度混合现象的系统，例如吸积盘中的磁旋转不稳定性和超Alfvénic湍流。
We present a new numerical method of special relativistic resistive magnetohydrodynamics with scalar resistivity that can treat a range of phenomena, from non-relativistic to relativistic (shock, contact discontinuity, and Alfvén wave). The present scheme calculates the numerical flux of fluid by using an approximate Riemann solver and electromagnetic field by using the method of characteristics. Since this scheme uses appropriate characteristic velocities, it is capable of accurately solving problems that cannot be approximated as ideal magnetohydrodynamics and whose characteristic velocity is much lower than the velocity of light. The numerical results show that our scheme can solve the above problems as well as nearly ideal MHD problems. Our new scheme is particularly well suited to systems with initially weak magnetic field and mixed phenomena of relativistic and non-relativistic velocity, for example magnetorotational instability in an accretion disk and super Alfvénic turbulence.