本文应用Euler模型和隐式TVD格式计算了二维折角管道内的超声速流动问题,为了有效地模拟激波和膨胀波系的相互干扰及壁面的反射,本文试将多重网格法和TVD格式结合起来进行数值求解。考虑到目前绝大部分文章采用V-循环多重网格法,我们对多重网格法中的几种多层次循环形式(V-循环、W-循环)进行了比较性的数值计算,旨在从中发现合适的多层次循环求解的形式,以期充分发挥多重网格法在Euler方程求解过程中的效益。同时,本文也是对多重网格法和TVD格式结合求解的一次初步尝试。 In this paper, the Euler model and the implicit TVD format were used to calculate the supersonic flow in a two-dimensional bent pipe. In order to effectively simulate the mutual interference between the shock wave and the expanding wave system and the reflection of the wall surface, the multi-grid method and the TVD format Up for numerical solution. Taking into account the vast majority of articles using the V-Cyclic Multigrid method, we conducted a comparative numerical calculation of several multi-level cyclic forms (V-cycles, W-cycles) in the multigrid method Find the appropriate form of multi-level cycle solving, in order to give full play to the multi-grid method in the Euler equation solving process benefits. At the same time, this article is also a preliminary attempt to solve the combination of multiple grids and TVD formats.