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Iterative solvers and inflow boundary conditions for plane sudden expansion flows

机译：平面突然膨胀流的迭代解算器和入流边界条件

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摘要

Incompressible laminar flow in a symmetric plane sudden expansion is studied numerically. The flow is known to exhibit a stable symmetric solution up to a critical Reynolds number above which symmetry-breaking bifurcation occurs. The aim of the present study is to investigate the effect of using different iterative solvers on the calculation of the bifurcation point. For this purpose, the governing equations for steady two-dimensional incompressible flow are written in terms of a stream function-vorticity formulation. A second order finite volume discretization is applied. Explicit and implicit solvers are used to solve the resulting system of algebraic equations. It is shown that the explicit solver recovers the stable asymmetric solution, while the implicit solver can recover both the unstable symmetric solution or the stable asymmetric solution, depending on whether the initial guess is symmetric or not. It is also found that the type of inflow velocity profile, whether uniform or parabolic, has a significant effect on the onset of bifurcation as uniform inflows tend to stabilize the symmetric solution by delaying the onset of bifurcation to a higher Reynolds number as compared to parabolic inflows.
机译：数值研究了对称平面内不可压缩的层流突然膨胀。已知流动显示出稳定的对称解，直至达到临界雷诺数，超过该临界雷诺数就会出现破坏对称的分叉。本研究的目的是研究使用不同的迭代求解器对分叉点计算的影响。为此，用流函数-涡度公式表示稳定的二维不可压缩流的控制方程。应用二阶有限体积离散化。显式和隐式求解器用于求解代数方程组。结果表明，显式求解器可以恢复稳定的不对称解，而隐式求解器可以恢复不稳定的对称解或稳定的不对称解，这取决于初始猜测是否对称。还发现，流入速度分布图的类型，无论是均匀的还是抛物线的，对分叉的开始都有显着影响，因为与抛物线相比，均匀的流入倾向于通过将分叉的开始推迟到更高的雷诺数来稳定对称解。流入。

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  • 来源
    《Applied Mathematical Modelling》 |2007年第11期|2553-2563|共11页
  • 作者

    E.M. Wahba;

  • 作者单位

    Mechanical Engineering Department, Alexandria University, Alexandria 21544, Egypt;

  • 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 应用数学;
  • 关键词

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