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A superposition-based parallel discrete operator splitting method for incompressible flows

机译：基于叠加的不可压缩流并行离散算子分裂方法

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摘要

Juxtaposition-based domain decomposition requires complicated pre-processing and communications of pre-consolidated data, and is restricted to field problems. In this paper, we propose a superposition-based domain decomposition parallelization, which employs element-by-element construction, processor-level assembling, and condensed random data structure. Superposition-based parallelization shows great flexibility in partitioning the computational domains, communicates more consolidated data, and can be applied beyond field problems. Moreover, superposition-based parallelization can, as an option, follow the same numerical process as its serial counterpart to produce digit-by-digit identically the same result, which makes code development and debugging much easier. Solving large scale indefinite systems continues to pose as a challenging issue for incompressible flows. In this paper, we propose the discrete operator splitting (DOS) technique to break the original ill-natured large indefinite system into two smaller well-natured definite systems coupled through source terms. The underpinning idea of the technique is to seamlessly combine the splitting and iterations together. Equipped with the parallelization and DOS, we present in details the superposition-based parallel discrete operator splitting finite element method and apply it to incompressible Navier-Stokes flows. Backward-facing step flow, cavity flow, and pipe flow are simulated to demonstrate the success of the method.
机译：基于并置的域分解需要复杂的预处理和预合并数据的通信，并且仅限于现场问题。在本文中，我们提出了一种基于叠加的域分解并行化方法，该方法采用逐元素构造，处理器级组装和压缩的随机数据结构。基于叠加的并行化在划分计算域时显示出极大的灵活性，可以传达更多的合并数据，并且可以应用于现场问题之外。此外，基于叠加的并行化可以作为一种选择，遵循与其串行对应项相同的数值过程，以产生逐位相同的相同结果，这使代码开发和调试更加容易。解决大规模不确定系统仍然是不可压缩流的挑战性问题。在本文中，我们提出了离散算子分裂（DOS）技术，将原始的不良性质的大型不定系统分成两个较小的，性质良好的，通过源项耦合的确定系统。该技术的基本思想是将拆分和迭代无缝结合在一起。配备了并行化和DOS，我们详细介绍了基于叠加的并行离散离散算子分裂有限元方法，并将其应用于不可压缩的Navier-Stokes流。模拟了向后的阶梯流，型腔流和管道流，以证明该方法的成功。

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  • 来源
    《International Journal of Heat and Mass Transfer》 |2009年第14期|2979-2991|共13页
  • 作者

    K.K.Q. Zhang; K. Sengupta; K. Xia; W.J. Minkowycz; F. Mashayek;

  • 作者单位

    Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607, USA;

    Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607, USA;

    Caterpillar Inc., Technical Center. P.O. Box 1875, Peoria, IL 61656, USA;

    Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607, USA;

    Department of Mechanical and Industrial Engineering, University of Illinois at Chicago, 842 West Taylor Street, Chicago, IL 60607, USA;

  • 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

    parallel computing; superposition; discrete operator splitting; finite element method; incompressible flow;

    机译：并行计算;叠加离散运算符拆分;有限元法不可压缩的流动;

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