Impact of the Hall effect in star formation, improving the angular momentum conservation
Impact of the Hall effect in star formation, improving the angular momentum conservation
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霍尔效应对恒星形成的影响，改善角动量守恒
DOI：
10.1051/0004-6361/201936215
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发表时间：
2019
影响因子：
6.5
通讯作者：
Chabrier G.
中科院分区：
文献类型：
--
作者：
Marchand P.;Tomida K.;Commercon B.;Chabrier G.
在这里，我们提出了一个小的修改，我们的霍尔效应的数值实现的二维黎曼求解器用于受约束的输运方案，如以前的论文所描述的。在之前的工作中，测试表明，在原恒星塌缩模拟过程中，角动量并不守恒，具有显著的影响。通过去掉一维Riemann求解器中非磁性变量的特征速度中的哨声波速度，我们能够在保持格式的二阶数值收敛的情况下将测试用例的角动量守恒提高一个数量级。我们还重现了具有一致电阻率、三种非理想磁流体力学效应和初始旋转的先前研究的模拟，并与他们的结果一致。在这种情况下，对于总角动量和圆盘的角动量，角动量守恒定律的破坏可以忽略不计。
We present here a minor modification of our numerical implementation of the Hall effect for the 2D Riemann solver used in Constrained Transport schemes, as described in a former paper. In the previous work, the tests showed that the angular momentum was not conserved during protostellar collapse simulations, with significant impact. By removing the whistler waves speed from the characteristic speeds of non-magnetic variables in the 1D Riemann solver, we were able to improve the angular momentum conservation in our test-case by one order of magnitude, while keeping the second-order numerical convergence of the scheme. We also reproduce the simulations of a previous study with consistent resistivities, the three non-ideal magnetohydrodynamic effects and initial rotation, and agree with their results. In this case, the violation of angular momentum conservation is negligible in regard to the total angular momentum and the angular momentum of the disk.