Accuracy of the approximate velocity of the steady incompressible Navier-Stokes equations computed by the standard mixed finite element methods is often affected by the pressure.In order to circumvent or weaken the influence of pressure on the accuracy of the computed velocity,by combining grad-div stabilized method with two-level finite element method,this paper presents a kind of two-level grad-div stabilized finite element methods for solving the steady incompressible Navier-Stokes equations numerically.The basic idea of the methods is to first solve a grad-div stabilized nonlinear Navier-Stokes problems on a coarse grid,and then solve,respectively,Stokes-linearized,Newton-linearized and Oseen-linearized Navier-Stokes problem with grad-div stabilization on a fine grid.Numerical examples are given to verify the high efficiency of the two-level grad-div stabilized finite element methods.
关键词
Navier-Stokes方程/grad-div稳定化/两水平方法/有限元方法
Key words
Navier-Stokes equations/grad-div stabilization/two-level method/finite element method
维普
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