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首页> 外文期刊>Aerospace science and technology >Multigrid cell-centered techniques for high-order incompressible flow numerical solutions
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Multigrid cell-centered techniques for high-order incompressible flow numerical solutions

机译：用于高阶不可压缩流数值解的多重网格单元中心技术

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摘要

A multigrid pressure correction scheme suitable for high order discretizations of the incompressible Navier-Stokes equations is developed and demonstrated. The pressure correction equation is discretized with fourth-order compact finite-difference approximations. Iterative methods based on multigrid techniques accelerate the most demanding part of the overall solution algorithm, which is the numerical solution of the arised large and sparse linear system. Geometrical multigrid methods, using partial semicoarsenig strategy and zebra line Gauss-Seidel relaxation, are employed to efficiently approximate the solution of the resulting algebraic linear system. Effects of various multigrid components on the pressure correction procedure are evaluated and new high-order transfer operators are developed for the case of cell-centered grids. Their convergence rates are also compared with commonly used intergrid transfer operators. Furthermore, numerically comparisons between different multigrid cycle approaches, such as V-, W- and F -cycle, are presented. The performance tests demonstrate that the new pressure correction approach significantly reduces the computational effort compared to single-grid algorithms. Furthermore, it is shown that the overall high order accuracy of the numerical method is retained in space and time with increasing Reynolds number. (C) 2017 Elsevier Masson SAS. All rights reserved.
机译：开发并演示了适用于不可压缩的Navier-Stokes方程的高阶离散化的多网格压力校正方案。压力校正方程式采用四阶紧凑型有限差分近似法离散化。基于多重网格技术的迭代方法加速了整体求解算法中最苛刻的部分，这是出现的大型稀疏线性系统的数值解。几何多重网格方法，使用部分半粗略策略和斑马线高斯-塞德尔松弛，被用来有效地近似所得代数线性系统的解。评估了多种网格组件对压力校正程序的影响，并针对以单元为中心的网格开发了新的高阶传递算子。他们的收敛速度也与常用的网格间转移运营商进行了比较。此外，提出了不同的多网格循环方法（例如V循环，W循环和F循环）之间的数值比较。性能测试表明，与单网格算法相比，新的压力校正方法显着减少了计算量。此外，表明随着雷诺数的增加，数值方法的整体高阶精度在空间和时间上得以保留。 （C）2017 Elsevier Masson SAS。版权所有。

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