计算非对称突然膨胀槽道流动的加速多重扫描耦合推进方法

本文提出加速多重扫描耦合推进方法,并用于非对称突然膨胀槽道流动计算。数值结果与实验数据吻合得很好,从而表明这个方法是有效的,精确的。依据对数值结果的分析,作者给出能够描写存在大范围分离的不可压缩简化Navier-Stokes方程组的最优形式,并且对这组方程的椭圆型数学性质作了进一步的分析。作者还对扫描过程的收敛性,推进过程的稳定性进行了理论分析,此外还讨论了不同精确度的差分格式对解的影响。

AN ACCELERATED MULTISWEEP COUPLING MARCHING METHOD FOR CALCULATING UNSYMMETRIC SUDDEN EXPANSION CHANNEL FLOWS

In this paper an accelerated multisweep marching method is posed,and used to predicte unsymmetric sudden expansion channel flows.Very good agreement of numerical prediction and measured data shows the method efficient and accurate.According to the analyses on numerical results,an optimum form of Simplified Navier-Stokes equations is provided which is especially reasonable to describe flows with strong separation.It is also shown that the Simplified Navier-Stokes equations are elliptic in nature by using a more restrictive method than that others used before.Moreover,in this paper theoritical analyses on the convergence of multisweep process and on the stability of marching process are given.Finaly,the influence of the orders of difference schemes on numerical results is disscussed;