自旋致密双星的GPU加速流形修正方法
GPU accelerated manifold correction method for spinning compact binaries
摘要：
自旋紧双星的守恒后牛顿（PN）哈密顿公式包含了总能量、总角动量和单位自旋长度等6个运动积分。流形修正方法可以有效地消除积分误差的长期积累。本文设计了基于图形处理器（GPU）的加速流形校正方法，用于模拟自旋紧致双星的动态演化。各种数值实验证实了在GPU上并行计算自旋紧致二进制的可行性和效率。数值计算结果表明，流形修正方法在GPU上的计算精度与在CPU上的计算精度有很好的一致性。在不增加硬件开销的情况下，通过共享内存和寄存器优化技术，在GPU上实现相空间扫描（包括轨道扫描）的加速能力比在CPU上实现相空间扫描（包括轨道扫描）的加速能力提高了近13倍。此外，利用GPU加速的流形修正方法，数值研究了自旋诱导四极相互作用对黑洞双星系统动力学的影响。
英文摘要：
The conservative Post-Newtonian (PN) Hamiltonian formulation of spinning compact binaries has six integrals of motion including the total energy, the total angular momentum and the constant unit lengths of spins. The manifold correction method can effectively eliminate the integration errors accumulation in a long time. In this paper, the accelerated manifold correction method based on graphics processing unit (GPU) is designed to simulate the dynamic evolution of spinning compact binaries. The feasibility and the efficiency of parallel computation on GPU for spinning compact binaries have been confirmed by various numerical experiments. The numerical comparisons show that the accuracy on GPU execution of manifold corrections method has a good agreement with the execution of codes on merely central processing unit (CPU-based) method. The acceleration ability when the codes are implemented on GPU can increase enormously through the use of shared memory and register optimization techniques without additional hardware costs, implying that the speedup is nearly 13 times as compared with the codes executed on CPU for phase space scan (including orbits). In addition, GPU-accelerated manifold correction method is used to numerically study how dynamics are affected by the spin-induced quadrupole-monopole interaction for black hole binary system.
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