近尾迹流动的数值模拟

通过数值求解可压缩Navier-Stokes方程的方法来模拟近尾迹的分离流动。Navier-Stokes方程^1]是利用中所给出的方法进行差分逼近的。这一方法兼备显式格式和隐式格式的优点。这是一隐式格式,因而可放松稳定性对时间步长的限制。这一格式又具有显式格式的简单性,差分方程的解可显式表达出来。求解过程中避免了通常隐式格式所要求的大量数值矩阵求逆和大量的矩阵运算。文中对不同的马赫数M_∞和雷诺数Re进行了计算。数值实验表明,本文所采用的方法是模拟底部分离流动的一个简单而有效的方法,可用来计算高马赫数和高雷诺数的分离流动。

THE NUMERICAL SIMULATION OF NEAR WAKE FLOW

Near wake flow is simulated by using numerical method for solving the Navier-Stokes Equations.In order to get fine solutions near the corner coordinate transformation is made in both x and y directions.The differetial equations are approximared with factored implicit scheme developed in⁽¹⁾. The scheme is implicit, and large time step can be used. But the difference solutions can be expressed explicitly. In process of solution there are no numerical inversions of matrices and no matrix operations.The scheme has advantages of both implicit and explicit schemes.Flows with different Mach number M and Peynolds number Pe are computed.