Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions
Relativistic resistive magneto-hydrodynamics code for high-energy heavy-ion collisions
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DOI：
10.1140/epjc/s10052-023-11343-y
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发表时间：
2022-11
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影响因子：
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通讯作者：
K. Nakamura;T. Miyoshi;C. Nonaka;H. R. Takahashi
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文献类型：
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作者：
K. Nakamura;T. Miyoshi;C. Nonaka;H. R. Takahashi
作为首次在Milne坐标系下设计的高能重离子碰撞数值模拟程序，我们构造了一个相对论性电阻磁流体动力学（RRMHD）程序。我们将微分方程组分为两部分，非刚性部分和刚性部分。对于非刚性部分，我们使用HLL近似的Riemann求解器计算数值通量，并使用二阶Runge-Kutta算法进行时间积分。对于刚性部分，这出现在安培定律，我们集成的方程使用半解析解的电场。我们采用广义拉格朗日乘子法来保证磁场和高斯定律的无发散约束。我们确认，我们的代码再现以及在笛卡尔坐标的标准RRMHD测试的结果。在Milne坐标系下，用相对论理想MHD试验验证了高电导率的程序.通过与数值计算结果的比较，验证了高能重离子碰撞中相对论电阻磁流体力学加速纵向膨胀的半解析解。我们的数值代码再现了这些解。
We construct a relativistic resistive magneto-hydrodynamic (RRMHD) numerical simulation code for high-energy heavy-ion collisions as a first designed code in the Milne coordinates. We split the system of differential equations into two parts, a non-stiff and a stiff part. For the non-stiff part, we evaluate the numerical flux using HLL approximated Riemann solver and execute the time integration by the second-order of Runge–Kutta algorithm. For the stiff part, which appears in Ampere’s law, we integrate the equations using semi-analytic solutions of the electric field. We employ the generalized Lagrange multiplier method to ensure the divergence-free constraint for the magnetic field and Gauss’s law. We confirm that our code reproduces well the results of standard RRMHD tests in the Cartesian coordinates. In the Milne coordinates, the code with high conductivity is validated against relativistic ideal MHD tests. We also verify the semi-analytic solutions of the accelerating longitudinal expansion of relativistic resistive magneto-hydrodynamics in high-energy heavy-ion collisions in comparison with our numerical result. Our numerical code reproduces these solutions.