The new discontinuous Galerkin methods based numerical relativity program Nmesh
The new discontinuous Galerkin methods based numerical relativity program Nmesh
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DOI：
10.1088/1361-6382/acaae7
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发表时间：
2023-01-19
影响因子：
3.5
通讯作者：
Pirog，Michal
中科院分区：
文献类型：
--
作者：
Tichy，Wolfgang;Ji，Liwei;Pirog，Michal
解释引力波观测和理解天体物理学致密物体（如黑洞或中子星）的物理学需要精确的理论模型。在这里，我们提出了一个新的数值相对论计算机程序，称为Nmesh，其设计目标是成为下一代程序的模拟具有挑战性的相对论天体物理学问题，如双黑洞或中子星星合并。为了在大型超级计算机上高效运行，Nmesh使用了不连续Galerkin方法以及区域分解和网格细化，可以很好地并行化和扩展。在这项工作中，我们讨论了我们使用的各种数值方法。我们还提出了测试问题，如标量波的演化，单黑洞和中子星，以及激波管的结果。此外，我们引入了一个新的正性限制器，使我们能够稳定地发展单个中子星，而无需额外的人工大气，或其他更传统的限制器。
Interpreting gravitational wave observations and understanding the physics of astrophysical compact objects such as black holes or neutron stars requires accurate theoretical models. Here, we present a new numerical relativity computer program, called Nmesh, that has the design goal to become a next generation program for the simulation of challenging relativistic astrophysics problems such as binary black hole or neutron star mergers. In order to efficiently run on large supercomputers, Nmesh uses a discontinuous Galerkin method together with a domain decomposition and mesh refinement that parallelizes and scales well. In this work, we discuss the various numerical methods we use. We also present results of test problems such as the evolution of scalar waves, single black holes and neutron stars, as well as shock tubes. In addition, we introduce a new positivity limiter that allows us to stably evolve single neutron stars without an additional artificial atmosphere, or other more traditional limiters.