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首页> 外文期刊>Numerical Heat Transfer, Part B. Fundamentals: An International Journal of Computation and Methodology >Convergence of an iterative implicit solver for incompressible flows with direct divergence-linked pressure corrector
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Convergence of an iterative implicit solver for incompressible flows with direct divergence-linked pressure corrector

机译：具有直接发散链接的压力校正器的不可压缩流的迭代隐式求解器的收敛性

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摘要

This communication presents an investigation of the convergence criteria for an iterative implicit solver for incompressible flows with a direct, divergence-linked pressure corrector. Such a method for the modified Crank-Nicolson formulation of the implicit discretized Navier-Stokes equations presents an attractive alternative to the popular semiexplicit procedures, which typically require a slow implicit step for the pressure. Although the direct iteration approach was successively demonstrated by Peyret and associates, their convergence analysis was based on the neglect of inertia terms and the use of a synchronous updating scheme similar to Jacobi iteration. The present analysis includes the inertia terms that are important at high Reynolds numbers, and is based on a more efficient immediate-updated iteration pattern similar to the Gauss-Seidel iteration, which was judged to be too difficult to analyze by Peryet and associates. The results suggest the need to modify the method to employ variable relaxation factors, dependent on local flow and mesh parameters. In addition, the computation procedure is based on a collocated mesh, which is more easily adaptable to curved and moving boundaries.
机译：该通讯介绍了使用直接，发散链接的压力校正器对不可压缩流的迭代隐式求解器的收敛标准的研究。这种用于隐式离散Navier-Stokes方程的改进的Crank-Nicolson公式的方法为流行的半显式过程提供了一种有吸引力的替代方法，后者通常需要缓慢的隐式阶跃来获得压力。尽管直接迭代方法已由Peyret及其同事相继证明，但他们的收敛分析是基于对惯性项的忽略以及使用类似于Jacobi迭代的同步更新方案。本分析包括对高雷诺数很重要的惯性项，并且基于类似于高斯-塞德尔迭代的更有效的立即更新迭代模式，后者被Peryet和同事认为太难分析了。结果表明需要修改方法以采用取决于局部流动和网格参数的可变松弛因子。此外，计算过程基于并置网格，该网格更容易适应弯曲和移动的边界。

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