霍尔效应对恒星形成的影响：改进angular momentum守恒
Impact of the Hall effect in star formation : improving the angular momentum conservation
摘要：
我们在这里对约束传输方案中使用的二维黎曼求解器的霍尔效应的数值实现进行了微小的修改，如Marchand等人所述。（2018）。在以前的工作中，测试表明，角动量在原恒星坍缩模拟过程中不守恒，具有重大影响。通过在一维Riemann求解器中非磁变量的特征速度中去除哨声波速度，我们能够将测试情况下的角动量守恒提高一个数量级，同时保持该方案的二阶数值收敛性。我们还重现了Tsukamoto等人的模拟。（2015）具有一致的双折射率，三个非理想MHD效应和初始旋转，并同意他们的结果。在这种情况下，角动量守恒的破坏对于总的角动量和圆盘的角动量是可以忽略的。
英文摘要：
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 Marchand et al. (2018). 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 are 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 Tsukamoto et al. (2015) with consistent resistivities, the three non-ideal MHD 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.
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