标题： 改进的紧致双星模拟移动穿刺技术 显示英文标题

标题： Improved Moving-Puncture Techniques for Compact Binary Simulations

摘要： 为了充分释放下一代引力波（GW）干涉仪的科学潜力，数值相对论（NR）模拟的准确性必须大幅提高。 我们提出了三项与基础设施无关的改进，用于二元黑洞（BBH）模拟的移动脉冲方法，旨在显著减少约束违反并提高GW预测。 尽管这些改进是在高效NR代码BlackHoles@Home中开发的，但我们证明了它们在广泛采用的Einstein Toolkit/Carpet AMR框架中的有效性。 我们的改进包括一种修改后的Kreiss-Oliger耗散方案，对BSSN方程的哈密顿约束阻尼调整，以及一个额外项到1+log lapse演化方程，该方程减缓了主导BBH模拟中数值误差的尖锐lapse特征的发展。 在计算成本增加最小的情况下，这些改进显著减少了GW噪声，使得以前被数值噪声掩盖的高阶GW模式得以提取。 它们还改善了收敛特性，在强场区域将哈密顿（动量）约束违反减少了约两个（三个）数量级，在GW提取区域减少了五个（两个）数量级。 为了促进社区采用，我们开源了本工作中使用的改进的Einstein Toolkit thorn BaikalVacuum。 虽然我们的重点是BBH演化和BSSN公式，但这些改进也可能有助于涉及物质和其他公式的紧凑双星模拟，这是未来研究的重点。 显示英文摘要

摘要： To fully unlock the scientific potential of upcoming gravitational wave (GW) interferometers, numerical relativity (NR) simulation accuracy must be greatly enhanced. We present three infrastructure-agnostic improvements to the moving-puncture approach for binary black hole (BBH) simulations, aimed at significantly reducing constraint violation and improving GW predictions. Although these improvements were developed within the highly efficient NR code BlackHoles@Home, we demonstrate their effectiveness in the widely adopted Einstein Toolkit/Carpet AMR framework. Our improvements include a modified Kreiss-Oliger dissipation prescription, a Hamiltonian-constraint-damping adjustment to the BSSN equations, and an additional term to the 1+log lapse evolution equation that slows the development of the sharp lapse feature, which dominates numerical errors in BBH simulations. With minimal increase in computational cost, these improvements significantly reduce GW noise, enabling the extraction of high-order GW modes previously obscured by numerical noise. They also improve convergence properties, reduce Hamiltonian (momentum) constraint violations in the strong-field region by approximately two (three) orders of magnitude, and in the GW-extraction zone by five (two) orders of magnitude. To promote community adoption, we have open-sourced the improved Einstein Toolkit thorn BaikalVacuum used in this work. Although our focus is on BBH evolutions and the BSSN formulation, these improvements may also benefit compact binary simulations involving matter and other formulations, a focus for future investigations.