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arXiv 0909.3557gr-qc
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双黑洞并合的谱方法模拟

Simulations of Binary Black Hole Mergers Using Spectral Methods

Béla Szilágyi, Lee Lindblom, Mark A. Scheel

摘要:

在数值方法和规范选择方面提出了几项改进,使我们能够用伪谱演化程序SpEC模拟“一般”双黑洞演化的合并和衰荡阶段。这些改进包括使用新的阻尼波规范条件,采用新的网格结构,适当的滤波以提高稳定性,以及在使网格结构符合黑洞的形状和大小方面的更好的自适应性。模拟说明这些新方法的成功,提出了各种二元黑洞系统。这些包括相当“一般”的系统,它们的质量不等(质量比可达2:1),自旋(大小可达0.4 M^2)指向不同的方向。

英文摘要:

Several improvements in numerical methods and gauge choice are presented that make it possible now to perform simulations of the merger and ringdown phases of "generic" binary black-hole evolutions using the pseudo-spectral evolution code SpEC. These improvements include the use of a new damped-wave gauge condition, a new grid structure with appropriate filtering that improves stability, and better adaptivity in conforming the grid structures to the shapes and sizes of the black holes. Simulations illustrating the success of these new methods are presented for a variety of binary black-hole systems. These include fairly ``generic'' systems with unequal masses (up to 2:1 mass ratios), and spins (with magnitudes up to 0.4 M^2) pointing in various directions.

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