预处理方法在低速粘性流动中的应用

用时间相关法、LU SGS隐式求解经过预处理后的二维可压Navier Stokes方程 ,数值模拟了低速情况下不同马赫数、不同雷诺数的驱动空腔流动。为了使时间相关法能应用于计算低速流动及加快收敛 ,在控制方程的时间导数项前乘了一个预处理矩阵 ,实现了对方程的预处理。数值模拟结果表明 ,预处理确实加快了计算的收敛性 ,而定常解却没有改变。所得结果与可能的计算结果进行了比较

The Application of Preconditioning in Viscous Flow at Low Speeds

The time dependent method&LU SGS implicit scheme has been used to solve 2D compressible Navier Stokes equations which are preconditioned and simulate the driven cavity flow field at different low Mach numbers and different Reynold numbers. To apply the time dependent method to simulate the flow field at low speeds validly and accelerate the convergence rates, a matrix called preconditioning matrix has multiplied the time derivative terms of Navier Stokes equations. This is known as preconditioning. Convergence rates are accelerated for a certainty, while providing solutions are identical to those obtained without preconditioning methods. The results are compared with available data.