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扩散界面浸入边界法结合壁面模型在湍流模拟中的应用研究-2021增刊

杜银杰1,舒昌2,杨鲤铭1,王岩1,吴杰3,4   

  1. 1. 南京航空航天大学 航空学院 空气动力学系
    2. 新加坡国立大学 机械工程系
    3.
    4. 南京航空航天大学
  • 收稿日期:2021-09-13 修回日期:2021-09-28 出版日期:2021-10-09 发布日期:2021-10-09
  • 通讯作者: 舒昌
  • 基金资助:
    国家数值风洞项目;国家自然科学基金;江苏高校优势学科建设工程资助项目

Research on wall model-based diffuse-interface immersed boundary method and its application in turbulent flows

  • Received:2021-09-13 Revised:2021-09-28 Online:2021-10-09 Published:2021-10-09
  • Contact: Chang 无SHU
  • Supported by:
    National Numerical Wind Tunnel Project of China;National Natural Science Foundation of China;Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)

摘要: 提出了一种模拟高雷诺数湍流的扩散界面浸入边界法(IBM)。该方法采用壁面模型来减少壁面附近的网格量。为了实施壁面模型和边界条件,在物面外部设置了两个辅助层(一系列拉格朗日点):外侧的参考层用于实施壁面模型来得到壁面剪应力,内侧的强制层用于实施离壁的边界条件。在实施壁面模型时,将动量方程沿物面法向积分,从而把物面切向的速度修正量与由壁面模型得到的壁面剪应力联系起来,而速度的法向分量则按二次曲线分布来近似重构。在实施边界条件时,为了严格满足无穿透条件,应用了基于隐式速度修正的IBM。最后,利用绕平板湍流和绕NACA0012翼型湍流来对方法的可行性进行了验证。

关键词: 浸入边界法, 壁面模型, 扩散界面, 湍流, 不可压流动

Abstract: A diffuse-interface immersed boundary method (IBM) for simulating high Reynolds number turbulent flows is proposed in this work. This method uses the wall model to reduce the number of grids near the wall. In order to implement the wall model and boundary conditions, two auxiliary layers (a series of Lagrangian points) are set outside the wall: the outer reference layer is used to carry out the wall model to calculate the wall shear stress, and the inner enforced layer is utilized to implement boundary conditions off the wall. When implementing the wall model, the momentum equation is integrated along the normal direction of the wall, so that the tangential velocity correction is related to the wall shear stress obtained by the wall model, and the normal component of the velocity is approximately reconstructed according to the parabolic distribution. Besides, when implementing boundary conditions, in order to satisfy the non-penetration condition, the implicit velocity correction-based IBM is adopted. Finally, the feasibility of this method is verified by numerical simulation of the turbulent flows around the flat plate and the NACA0012 airfoil.

Key words: immersed boundary method, wall model, diffuse-interface, turbulent flow, incompressible flow

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