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Implementation and optimization of GPU-based parallel one-step leapfrog ADI-FDTD for far-field scattering problems

机译:基于GPU的并行一步跳跃ADI-FDTD实现与优化远场散射问题

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摘要

The one-step leapfrog alternative-direction-implicit finite-difference timedomain (ADI-FDTD), free from the Courant-Friedrichs-Lewy (CFL) stability condition and sub-step computations, is efficient when dealing with fine grid problems. However, solution of the numerous tridiagonal systems still imposes a great computational burden and makes the method hard to execute in parallel. In this paper, we proposed an efficient graphic processing unit (GPU)-based parallel implementation of the one-step leapfrog ADI-FDTD for the far-field EM scattering simulation of objects, in which we present and analyze the manners of calculation area division and thread allocation and a data layout transformation of z components is proposed to achieve better memory access mode, which is a key factor affecting GPU execution efficiency. The simulation experiment is carried out to verify the accuracy and efficiency of the GPU-based implementation. The simulation results show that there is a good agreement between the proposed one-step leapfrog ADI-FDTD method and Yee's FDTD in solving the far-field scattering problem and huge benefits in performance were encountered when the method was accelerated using GPU technology.
机译:一步跳跃替代方向隐含的有限差分差异定时(ADI-FDTD),没有驻Friedrichs-Lewy(CFL)稳定条件和子步骤计算,在处理细网问题时是有效的。然而,众多三角形系统的解决方案仍然施加了巨大的计算负担,并使该方法并行执行。在本文中,我们提出了一种高效的图形处理单元(GPU),用于对物体的远场EM散射模拟的一步跳过ADI-FDTD的并行实现,其中我们存在并分析计算区域划分的方式提出了Z分量的线程分配和数据布局转换,以实现更好的内存访问模式,这是影响GPU执行效率的关键因素。进行了仿真实验,以验证基于GPU的实现的准确性和效率。仿真结果表明,在使用GPU技术加速该方法时,拟议的一步跳跃ADI-FDTD方法和YEE的FDTD之间存在良好的协议,在解决远场散射问题,并且在使用GPU技术加速该方法时遇到了巨大的性能益处。

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