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Research on GPU parallel algorithm for direct numerical solution of two-dimensional compressible flows

机译：二维可压缩流动直接数值解的GPU并联算法研究

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摘要

In this paper, a novel parallel algorithm is proposed to solve the problems of heavy computation and long simulation time in the field of compressible flows. In this algorithm, a third-order upwind scheme and a fourth-order central difference scheme are employed, with a third-order Runge-Kutta method for time stepping. Considering the powerful floating-point computing ability of the Graphics Processing Unit (GPU), this paper establishes the algorithm on the basis of GPU. Moreover, the direct numerical simulation method is adopted in this algorithm to improve the solution accuracy of the simulation results. To further enhance the efficiency of the algorithm, several optimization strategies are explored in the design of the algorithm as well. Both accuracy and feasibility of the algorithm are verified by a classical two-dimensional example. Compared with solving this example on the Central Processing Unit platform, the experimental results demonstrate that the maximum speedup ratio achieved by our approach is 18.03 times.
机译：本文提出了一种新的并行算法来解决可压缩流场中的重计算和长模拟时间的问题。在该算法中，采用三阶Upwind方案和四阶中心差分方案，具有三阶runge-kutta方法，用于时间梯度。考虑到图形处理单元（GPU）的强大浮点计算能力，本文在GPU的基础上建立了算法。此外，本算法采用了直接数值模拟方法，提高了仿真结果的溶液精度。为了进一步提高算法的效率，还在算法设计中探讨了几种优化策略。算法的精度和可行性都是通过经典的二维示例验证的。与在中央处理单元平台上解决这个例子相比，实验结果表明，通过我们的方法实现的最大加速比率为18.03倍。

著录项

  • 来源
    《Journal of supercomputing》 |2021年第10期|10921-10941|共21页
  • 作者

    Wang Yongzhen; Yan Xuefeng; Zhang Junan;

  • 作者单位

    Nanjing Univ Aeronaut & Astronaut Sch Comp Sci & Technol Nanjing 210016 Jiangsu Peoples R China|Collaborat Innovat Ctr Novel Software Technol & I Nanjing 210016 Jiangsu Peoples R China;

    Nanjing Univ Aeronaut & Astronaut Sch Comp Sci & Technol Nanjing 210016 Jiangsu Peoples R China|Collaborat Innovat Ctr Novel Software Technol & I Nanjing 210016 Jiangsu Peoples R China;

    Xian Technol Univ Sch Mechatron Engn Xian 710021 Shaanxi Peoples R China;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    GPU; CUDA; Compressible flow; Direct numerical simulation; Parallel algorithm;

    机译：GPU;CUDA;可压缩流动;直接数值模拟;并行算法;

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