基于牛顿迭代的Navier-Stokes方程两重网格相容分解算法

fully discrete two-level consistent splitting algorithm is appliedto solve the incompressible Navier-Stokes equations. This method ismotivated by solving a nonlinear equation in the coarse-levelsubspace and then computing a linear problem in the fine-levelsubspace in which the consistent splitting scheme is employed todecouple the velocity and the pressure. To reflect the interactionrelation between the large and small eddy components well, we useNewton iteration to denote such interaction relation. The stability and convergence are obtained under the inf-sup condition. Thedetailed numerical analysis shows that the two-level method can getthe optimal accuracy with the proper choice of the coarse and finemesh scales. Finally, some numerical tests are provided to indicatethe effectiveness of this method.