Accelerating lattice QCD computations using general purpose graphic cards

我们采用Nvidia生产的商品图形卡来加速晶格QCD模拟的夸克求解器。使用单个GPU卡，与单个CPU情况相比，我们获得了夸克求解器的7-10倍速度。示例GPU求解程序可以从这个项目的网页上免费获得。我们开发了块迭代求解器，其中独立的线性方程分配给PC盒中的单个gpu。利用该算法，我们可以通过多个gpu的尴尬并行使用来实现理想的改进。利用阻塞的GPU解算器，我们可以非常有效地估计10味SU(3)规范理论的运行耦合常数。为了在多台pc和gpu上实现大规模的点阵QCD模拟，我们开发了加性Schwarz预调节器来求解域分解夸克线性方程。我们没有观察到添加Schwarz预调节器的有效改善。

We employ commodity graphic cards produced by Nvidia to accelerate the quark solver for lattice QCD simulations. With a single GPU card we obtain factors of 7-10 speed up for the quark solver compared with a single CPU case. The sample GPU solver program is freely available from the Web page of this project. We have developed the blocked iterative solver in which the independent linear equations are assigned to individual GPUs in a PC box. With this algorithm we can achieve an ideal improvement through the embarrassingly parallel usage of the multiple GPUs. Using the blocked GPU solver, we could estimate the running coupling constant of the 10-flavor SU(3) gauge theory very efficiently. In order to achieve large scale lattice QCD simulations with multiple PCs and GPUs, we have developed the additive Schwarz preconditioner to solve the domain decomposed quark linear equations. We did not observe the efficient improvement with the additive Schwarz preconditioner.