自适应多重网格法在跨声速势流计算中的应用

The Application of Adaptive Multigrid Method for Computing Trausonic Flow

用全近似格式（FullApproximateScheme，简称FAS格式）求解了轴向大扰动、径向小扰动的跨声速势流方程。并采用自适应多重网格技术控制粗细网格层间的迭代转换，采用嵌套迭代技术较好地选取了初值。数值计算表明：自适应多重网格法可使计算效率提高8倍以上。

In this paper, full approximate scheme is applied in solving transonic flow equation with large disturbance in the axial direction and small disturbance in the transverse direction. The transform of iteration from coarse-grid layer to fine-grid layer or vice versa is controlled by adaptive multigrid technique. Embedded iteratiye method is used for acquiring better initial value. Numerical experiments have indicated that the speed of conyergence of adaptive multigrid method is at least eight times than that of the single grid method.