Simulating magnetized neutron stars with discontinuous Galerkin methods-猫眼课题宝

DOI：

10.1103/physrevd.105.123031

发表时间：

2021-09

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作者：

N. Deppe;F. H'ebert;Lawrence E. Kidder;William Throwe;Isha Anantpurkar;C. Armaza;G. Bonilla;M. Boyle;H. Chaudhary;Matthew D. Duez;Nils L. Vu;F. Foucart;M. Giesler;Jason S. Guo;Yoonsoo Kim;Prayush Kumar;I. Legred;Dongjun Li;G. Lovelace;Sizheng Ma;A. Macedo;D. Melchor;M. Morales;Jordan Moxon;Kyle C. Nelli;É. O’Shea;H. Pfeiffer;T. Ramirez;H. Ruter;Jennifer A. Sanchez;M. Scheel;Sierra Thomas;D. Vieira;Nikolas A. Wittek;T. Włodarczyk;S. Teukolsky

不连续Galerkin方法很受欢迎，因为它们可以实现高阶，其中解决方案是光滑的，因为它们可以捕获冲击，同时只需要最近邻通信，并且因为它们相对容易在复杂网格上制定。我们进行了详细的比较，在文献中提出的各种限制策略适用于广义相对论磁流体力学方程。我们比较了标准的minmod/$\Lambda\Pi^N$限制器，Krivodonova的分层限制器，简单的韦诺限制器，HWENO限制器，和一个不连续的Galerkin有限差分混合方法。最终的目标是了解什么限制策略能够鲁棒地模拟磁化TOV星，而无需任何微调的参数。在这里探讨的限制器中，我们可以认可的唯一限制策略是间断Galerkin有限差分混合方法。

Discontinuous Galerkin methods are popular because they can achieve high order where the solution is smooth, because they can capture shocks while needing only nearest-neighbor communication, and because they are relatively easy to formulate on complex meshes. We perform a detailed comparison of various limiting strategies presented in the literature applied to the equations of general relativistic magnetohydrodynamics. We compare the standard minmod/$\Lambda\Pi^N$ limiter, the hierarchical limiter of Krivodonova, the simple WENO limiter, the HWENO limiter, and a discontinuous Galerkin-finite-difference hybrid method. The ultimate goal is to understand what limiting strategies are able to robustly simulate magnetized TOV stars without any fine-tuning of parameters. Among the limiters explored here, the only limiting strategy we can endorse is a discontinuous Galerkin-finite-difference hybrid method.

Simulating magnetized neutron stars with discontinuous Galerkin methods

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