变形壁面湍流流场的谱方法

Spectral Methods for Simulation of Deformed Wall Turbulence Flow

为了获得高精度变形壁面湍流流场,该文采用纳维-斯托克斯方程的时间分步法和贴体坐标的基本原理,推导出一种求解变形壁面湍流流场的谱方法。以行波壁及反向控制壁面为算例,对变形壁面控制的槽道湍流进行了数值模拟,建立了槽道湍流数据库。分析了控制前后流场中的速度和近壁涡结构的变化情况。结果表明,谱方法可用于模拟变形壁面的湍流流场,且具有较高的精度:采用行波壁面和反向控制壁可以抑制壁湍流,实现减阻。

In order to obtain the highly precise deformed wall turbulence flow,a spectral method for the titled flow is derived based on the time splitting method of Navier-Stokes equations and body-fitted coordinates.The channel turbulent flows controlled by deformed walls,such as the travelling wavy wall and the opposite control wall,are simulated numerically by the spectral method,and the database of the channel turbulent flow is presented.The changes of the velocity and the vortex structure of the controlled flow fields are analyzed.It is concluded that the spectral method can simulate the titled flow with the high precision,and the travelling wavy wall or the opposite control wall can suppress the wall turbulence flow and reduce the drag well.