论文标题
避开冲击切片条件：测试和校准
Shock-avoiding slicing conditions: tests and calibrations
论文作者
论文摘要
虽然1+log切片条件在众多数值相对性模拟中非常成功，但在某些示例中也众所周知，它也会开发“量规声”。 Alcubierre建议的替代性“避免冲击”切片条件在这些例子中阻止了这些病理，但尚未得到非常广泛的探索和测试。在本文中，我们将避开冲击切片条件的性能与1+日志切片的性能进行了比较，这些条件在包括黑洞和相对论恒星在内的许多“教科书”问题上进行了比较。而在某些模拟中，避免冲击的切片条件具有一些异常的特性，并且导致比1+对数切片条件更具“量规动力学”，但我们发现它们在稳定性和准确性方面的性能非常相似，因此为1+log Slicing提供了非常可行的替代方案。
While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternative "shock-avoiding" slicing conditions suggested by Alcubierre prevent these pathologies in those examples, but have not yet been explored and tested very broadly. In this paper we compare the performance of shock-avoiding slicing conditions with those of 1+log slicing for a number of "text-book" problems, including black holes and relativistic stars. While, in some simulations, the shock-avoiding slicing conditions feature some unusual properties and lead to more "gauge-dynamics" than the 1+log slicing condition, we find that they perform quite similarly in terms of stability and accuracy, and hence provide a very viable alternative to 1+log slicing.
