关键词: 不可压缩流体, 有限体积算法, 两重稳定方法, Navier-Stokes方程

Abstract: In this paper, two-level stabilized finite volume methods are considered which are based on local Gauss integral technique and two-level grid algorithm for the incompressible flow. The error analysis shows that the two-level stabilized finite volume methods provide an approximate solution with the convergence rate of the same order as the usual stabilized finite volume solution solving the incompressible flow problems on a fine grid for a related choice of mesh widths. The performance of three kinds iterative scheme of two-level stabilized methods are compared in efficiency and precision aspects by a series of numerical experiments. It discovers that the simple scheme is better than two others on accuracy and efficiency. There is the poor numerical accuracy for the Newton scheme, but the Picard scheme is more suitable to incompressible flow with low viscosity coefficient.

Key words: incompressible flow, finite volume methods, two-level stabilized methods, Navier-Stokes equations