一种可压缩湍流RANS模拟的浸入边界方法  

An Immersed Boundary Method for RANS Simulation of Compressible Turbulent Flows

作　　者：何文辉 濮天梅 周春华[1] HE Wenhui;PU Tianmei;ZHOU Chunhua(College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,Jiangsu 210016,China;College of General Aviation and Flight,Nanjing University of Aeronautics and Astronautics,Nanjing,Jiangsu 211106,China)

机构地区：[1]南京航空航天大学航空学院,江苏南京210016 [2]南京航空航天大学通用航空与飞行学院,江苏南京211106

出　　处：《计算物理》2023年第3期325-332,共8页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(11972191)资助项目。

摘　　要：提出一种可压缩湍流RANS(Reynolds-Averaged Navier-Stokes)模拟的浸入边界方法。该方法的解重构中,不再定义用于插值的参考点。利用其周围计算内点上已知的流动变量值,解域内紧靠壁面的网格节点上的流动变量通过距离倒数加权方法插值确定。为降低高雷诺数湍流模拟的近壁区域网格分辨率要求,采用一种显式壁面函数将无滑移边界条件转化为无穿透边界条件和当地剪切应力条件;该壁面函数无需迭代求解,提高了计算效率。RAE2822翼型亚、跨音速绕流的数值模拟验证了方法的可靠性。An immersed boundary method is proposed for RANS(Reynolds-Averaged Navier-Stokes)simulation of compressible turbulent flows.In the method reference points are no longer utilized in interpolation for solution reconstruction and flow variables at the mesh nodes in immediate vicinity of solid wall are determined with inverse distance weighting interpolation of those at surrounding computed nodes.To reduce the requirement of high near-wall mesh resolution in simulation of high-Reynolds-number turbulent flows,an explicit wall function is employed to transform the no-slip boundary condition into the no-penetration condition and a prescribed wall shear stress.The wall function does not need to be solved iteratively which improves computational efficiency.Numerical experiment for subsonic and transonic flows around RAE2822 airfoil verifies reliability of the method.

关 键 词：浸入边界法 湍流RANS模拟 可压湍流 壁面函数 

分 类 号：O354[理学—流体力学]