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Chebyshev spectral method for incompressible viscous flow with boundary layer control via suction or blowing

机译:不可压缩粘性流的切比雪夫谱方法,通过吸力或吹气控制边界层

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摘要

The MISES quasi 3-D design/analysis code implements a two-equation integral method with empirical closure relations to solve the boundary layer flow problem with or without suction, but lacks the option of flow control via blowing. The integral method is parameterized with the shape parameter H _ 6*/0 which cannot be applied to the blowing problem since 0 - 0 downstream of the injection slot causing H -, co - a computational disaster. In this thesis, two alternate approaches are proposed to solve the blowing problem. First, a two-equation integral method parameterized with the profile parameters of a multi-deck representation of a turbulent jet based on Coles' law of the wake was formulated. The appearance of spurious singularities in the Jacobian matrices associated with the system of equations and the vector of unknowns prevented this method from being implemented. Second, a Chebyshev spectral method using the wall function technique was applied to the defect form of the incompressible viscous momentum equation. A turbulent jet profile was computed with N = 40 modes, a number low enough to allow the method's implementation into the MISES framework.
机译:MISES准3-D设计/分析代码实现​​了具有经验闭合关系的两方程积分方法,以解决有或没有吸力的边界层流动问题,但缺少通过吹气进行流动控制的选项。积分方法使用形状参数H _ 6 * / 0进行参数化,该形状参数不能应用于吹塑问题,因为注入槽下游的0-0导致H-,从而造成计算灾难。本文提出了两种替代方法来解决吹气问题。首先,基于尾流的科尔斯定律,提出了用湍流多甲板表示的轮廓参数进行参数化的两方程积分法。与方程组和未知数向量相关联的雅可比矩阵中出现了奇异奇异性,导致该方法无法实施。其次,将使用壁函数技术的切比雪夫谱方法应用于不可压缩粘性动量方程的缺陷形式。用N = 40个模式计算了湍流射流剖面,该数值足够低,足以允许该方法在MISES框架中实施。

著录项

  • 作者

    Alescio Giuseppe;

  • 作者单位
  • 年度 2006
  • 总页数
  • 原文格式 PDF
  • 正文语种 eng
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