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首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A parallel finite element method for incompressible Navier- Stokes flows based on unstructured grids
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A parallel finite element method for incompressible Navier- Stokes flows based on unstructured grids

机译：基于非结构化网格的不可压缩Navier-Stokes流的并行有限元方法

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This paper presents a parallel finite element method for the large scale computation of incompressible Navier-Stokes flows using unstructured grids. The streamline upwind/Petrov-Galerkin (SUPG) formulation is employed to improve the numerical stability and accuracy and the pressure stabilization matrix (PSM) is introduced to avoid the occurrence of the checkerboard pressure mode. For the finite element, the velocity-tri-linear/pressure- piecewise constant (Ql/P0 ) element is employed. The pressure Poisson equation is par- allelized with the element-by-element scaled conjugate gradient (SCG) method. Parallel implementation of the unstructured-grid-based formulation is carried out on the Hitachi Parallel Computer SR2201. The effect of parallelization on the efficiency of the computations is examined.
机译：本文提出了一种使用非结构化网格大规模计算不可压缩Navier-Stokes流的并行有限元方法。采用流线型上风/ Petrov-Galerkin（SUPG）公式来提高数值稳定性和准确性，并引入压力稳定矩阵（PSM）以避免出现棋盘压力模式。对于有限元，采用速度三线性/压力分段常数（Q1 / P0）元。压力泊松方程与逐元素比例的共轭梯度法（SCG）并存。在Hitachi并行计算机SR2201上并行执行基于非结构化网格的公式。检查了并行化对计算效率的影响。

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