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An adaptive dual-information FMBEM for 3D elasticity and its GPU implementation

机译：具有3D弹性的自适应双信息FMBEM及其GPU实现

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摘要

Combined the boundary element method (BEM) with the fast multipole method (FMM), the fast multipole BEM (FMBEM) is proposed to solve large scale problems. A key issue the FMBEM has to address is the element integrals, which usually consumes much time when the FMM for N-body problems is directly used. In order to accelerate element integrals, we present an adaptive FMBEM with a particular dual-information tree structure which contains both node and element information, and use it for 3D elasticity in this paper. In our adaptive FMBEM, the Multipole Expansions (ME), Moment-to-Local (M2L) translation, Local Expansions (LE), and the Near Field Direct Computation (NFDC) are level independent so that they are suitable for parallel computing. The examples show that the time of ME and NFDC in our FMBEM is almost 1/3 and 1/2 compared with that in a node-based FMBEM which deals with FMBEM in a particle interaction mode. We develop two GPU parallel strategies to accelerate the processes of ME, M2L and NFDC and implement them on a NVIDIA GTX 285 GPU, and the speedups to an Intel Core2 Q9550 CPU using 4 cores can reach 10.7 for ME, 16.2 for M2L, and 3.6 for NFDC.
机译：结合边界元方法（BEM）和快速多极方法（FMM），提出了快速多极BEM（FMBEM）解决大规模问题的方法。 FMBEM必须解决的关键问题是元素积分，当直接使用N体问题的FMM时，它通常会花费大量时间。为了加速元素积分，我们提出了一种具有特定双信息树结构的自适应FMBEM，该结构同时包含节点和元素信息，并将其用于3D弹性。在我们的自适应FMBEM中，多极扩展（ME），矩到本地（M2L）转换，本地扩展（LE）和近场直接计算（NFDC）是与级别无关的，因此它们适合于并行计算。这些示例表明，与基于节点的FMBEM（以粒子交互模式处理FMBEM）相比，我们的FMBEM中ME和NFDC的时间分别接近1/3和1/2。我们开发了两种GPU并行策略来加速ME，M2L和NFDC的进程，并在NVIDIA GTX 285 GPU上实现它们，使用4个内核的Intel Core2 Q9550 CPU的ME加速比达到10.7，M2L和3.6加速到16.2。用于NFDC。

著录项

  • 来源
    《Engineering analysis with boundary elements》 |2013年第2期|236-249|共14页
  • 作者

    Yingjun Wang; Qifu Wang; Gang Wang; Yunbao Huang; Shuting Wang;

  • 作者单位

    National CAD Support Software Engineering Research Center, Huazhong University of Science and Technology, Wuhan 430074, China;

    National CAD Support Software Engineering Research Center, Huazhong University of Science and Technology, Wuhan 430074, China;

    National CAD Support Software Engineering Research Center, Huazhong University of Science and Technology, Wuhan 430074, China;

    National CAD Support Software Engineering Research Center, Huazhong University of Science and Technology, Wuhan 430074, China;

    National CAD Support Software Engineering Research Center, Huazhong University of Science and Technology, Wuhan 430074, 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

    fast multipole method; boundary element method; dual-information; graphics processing unit; 3D elasticity;

    机译：快速多极法边界元法双重信息图形处理单元;3D弹性;

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