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arXiv 1504.04732gr-qc
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引力波坍缩的伪谱方法

A Pseudospectral Method for Gravitational Wave Collapse

David Hilditch, Andreas Weyhausen, Bernd Bruegmann

摘要:

我们提出了一个新的伪谱代码,bamps,数值相对论写的塌缩引力波的演变。我们采用一阶广义调和规范公式。相关的理论进行审查和数值方法进行严格审查和专门的手头的任务。特别是,我们研究制定参数,规范和约束保持边界条件非常适合于非零规范源函数。讨论了不同类型的轴对称无扭矩时间对称引力波初始数据。本文提出了轴对称视视界条件的一种处理方法,并注意轴上的正则性。我们的明显的地平线发现者,然后在一些测试案例中进行评估。移动到演化,我们调查修改广义谐波规范约束阻尼计划,以提高在强场制度的保守性。我们证明了我们的伪谱惩罚码的强缩放。我们采用卡通的方法来有效地发展轴对称数据在我们的3+1维代码。我们进行测试演化的史瓦西扰动的引力波和规范脉冲,既证明使用我们的黑洞切除计划,并与早期的结果进行比较。最后,给出了超临界Brill波的数值演化,以证明切除方案对黑洞动力学形成的持久性。

英文摘要:

We present a new pseudospectral code, bamps, for numerical relativity written with the evolution of collapsing gravitational waves in mind. We employ the first order generalized harmonic gauge formulation. The relevant theory is reviewed and the numerical method is critically examined and specialized for the task at hand. In particular we investigate formulation parameters, gauge and constraint preserving boundary conditions well-suited to non-vanishing gauge source functions. Different types of axisymmetric twist-free moment of time symmetry gravitational wave initial data are discussed. A treatment of the axisymmetric apparent horizon condition is presented with careful attention to regularity on axis. Our apparent horizon finder is then evaluated in a number of test cases. Moving on to evolutions, we investigate modifications to the generalized harmonic gauge constraint damping scheme to improve conservation in the strong field regime. We demonstrate strong-scaling of our pseudospectral penalty code. We employ the Cartoon method to efficiently evolve axisymmetric data in our 3+1 dimensional code. We perform test evolutions of Schwarzschild perturbed by gravitational waves and by gauge pulses, both to demonstrate the use of our blackhole excision scheme and for comparison with earlier results. Finally numerical evolutions of supercritical Brill waves are presented to demonstrate durability of the excision scheme for the dynamical formation of a blackhole.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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